Answers
Answer: The solution for the system is (2, -7)
Step-by-step explanation:
Ok, here we have linear relationships.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case, we have two lines:
ya, that passes through:
(-8, -5) and (-3, -6)
Then the slope is:
a = (-6 - (-5))/(-3 - (-8)) = (-6 + 5)/(-3 + 8) = -1/5
now, knowing one of the points like (-3, - 6) we can find the value of b.
y(x) = (-1/5)*x + b
y(-3) = -6 = (-1/5)*-3 + b
-6 = 3/5 + b
b = -6 - 3/5 = -33/5
then the first line is:
ya = (-1/5)*x -33/5
For the second line, we know that it passes through the points:
(-8, -15) and (-3, -11)
Then the slope is:
a = (-11 - (-15))/(-3 -(-8)) = (-11 + 15)/(-3 + 8) = 4/5
The our line is:
y(x) = (4/5)*x + b
and for b, we do the same as above, using one of the points, for example (-3, -11)
y(-3) = -11 = (4/5)*-3 + b
b = -11 + 12/5 = -(55 + 12)/5 = -43/5
then:
yb = (4/5)*x - 43/5.
Ok, our system of equations is:
ya = (-1/5)*x -33/5
yb = (4/5)*x - 43/5.
To solve this, we suppose ya = yb
then:
(-1/5)*x + -33/5 = (4/5)*x - 43/5.
-33/5 + 43/5 = (4/5)*x + (1/5)*x
10/5 = 2 = (4/5 + 1/5)*x = x
2 = x
now we evaluate x = 2 in one of the lines:
ya = (-1/5)*2 -33/5 = -2/5 - 33/5 = -35/5 = -7
Then the lines intersect at the point (2, - 7), which is the solution for the system.
Related Questions
Suppose that the values of x, y, and z are given by x=2/3 y=5/7 z= -11/3 What is xy/z
Answers
Answer:
The answer is -10/77 .
Step-by-step explanation:
In order to find the value of xy/z, you have to substitute the value of x, y and z into the expression :
[tex] \frac{xy}{z} = xy \div z[/tex]
[tex]( \frac{2}{3} \times \frac{5}{7}) \div - \frac{11}{3} [/tex]
[tex] = \frac{10}{21} \times - \frac{3}{11} [/tex]
[tex] = \frac{10}{7} \times - \frac{1}{11} [/tex]
[tex] = - \frac{10}{77} [/tex]
Which of the following shows the division problem below in synthetic division
form?
5x2 + 9x-6
X + 2
A. -259-6
B. 259
6
C. 2 5 9.6
O D.
D. -25 96
Answers
Answer:
Option (A),
_____________
-2 | 5 9 -6
Step-by-step explanation:
Division is an algorithm that is used to find the factors of a number. One method of dividing polynomials is through a process of Synthetic division. Synthetic division for polynomials requires that the divisor (an expression that one uses to divide the polynomial) is linear. One will then set the divisor equal to zero and solve for the unknown such as the following,
x + 2 = 0
x = -2
Under the division sign, one will put all of the coefficients of the divided (the number that will be divided) in order of degree. The coefficient of the term with the highest degree is on the leftmost side, the lowest degree is the rightmost. Therefore the problem would appear as the following,
[tex]\frac{5x^2+9x-6}{x+2}[/tex]
= ([tex]5x^2+9x-6[/tex]) ÷ ([tex]x+2[/tex])
_____________
-2 | 5 9 -6
Therefore, the correct choice is option (A).
1.) Write 7/25 as a percent and decimal.
Answers
Answer:
Below
Step-by-step explanation:
● 7/25
Let' write this fraction as a decimal then convert it to a percentage
● 7/25 = 0.28
To get a percentage multiply it by 10
● 0.28 × 100
● 28 %
Answer:
0.28 or 28 percent
Step-by-step explanation:
1)The easiest way to solve this is with a calculator. Just enter in 7/25, and you get 0.28.
2) Now, 0.28 is out of 1, but we also want a percent, so you have to change it to make it out of 100. You do this by multiplying by 100, and to do that you simply move the decimal place 2 places back.
3) You would then get 28, so 28 percent.
Extra) You can also do the part I did with a calculator without, but it is much more time consuming. After you get 0.28, you would go through the steps listed above.
Please help! Dad will murder me if I don't have this done by the time he gets home! 100 points for whoever solves this!
Answers
Answer:
3(4)to the 3
Step-by-step explanation:
What is the volume of the right triangular prism shown?
Answers
Answer:
C. 567yd^3
Step-by-step explanation:
To find the volume of the right triangular prism, it is: 1/2a c h.
In this case, 1/2✖️9✖️6✖️21=567yd^3
So this means that option C is the correct answer.
Hope this helps!
Have a nice day:)
Answer:
567 cu. yard
Step-by-step explanation:
will make it simple and short.
Vol = area of a triangle x length
Vol = (1/2 * 6 * 9 ) * 21
Vol = 567 cu. yard
*PLEASE ANSWER* Compare the volume of these two shapes,given their radii and heights are the same .
Answers
Answer:
The correct option is;
Left object volume = right object volume
Step-by-step explanation:
The shapes given in the question are two circular cones that have equal base radius and equal height
The formula for the volume, V of a circular cone = 1/3 × Base area × Height
The base area of the two shapes are for the left A = π·r², for the right A = π·r²
The heights are the same, therefore, the volume are;
For the left
[tex]V_{left}[/tex] = 1/3×π·r²×h
For the right
[tex]V_{right}[/tex] = 1/3×π·r²×h
Which shows that
1/3×π·r²×h = 1/3×π·r²×h and [tex]V_{left}[/tex] = [tex]V_{right}[/tex], therefore, the volumes are equal and the correct option is left object volume = right object volume.
WILL GIVE BRAINLY!!!!describe how the line of best fit and the correlation coefficient can be used to determine the correlation between two variables on a graph
Answers
Answer:
a graph with points plotted to show a possible relationship between two sets of data. ... A correlation where as one variable increases, the other also increases, or as one decreases so does the ... a line that best passes through or near graphed data; used to describe data and predict where new data will appear on the graph.
Answer:
a graph with points plotted to show a possible relationship between two sets of data. ... A correlation where as one variable increases, the other also increases, or as one decreases so does the ... a line that best passes through or near graphed data; used to describe data and predict where new data will appear on the graph.
Step-by-step explanation:
What is the distance between points A and B on the grid? (the grid is shown in the image). A. 3 units B. 4.5 units C. 5 units D. 5.5 units
Answers
=================================================
Explanation:
Since the x coordinates are the same, we can subtract the y coordinates to get
1.5 - (-3.5) = 1.5 + 3.5 = 5
Note how subtracting a negative is the same as adding.
-------
We can subtract in the other order
-3.5 - 1.5 = -5
but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive
|-5| = 5
a box has a square base of side 9cm. calculate the volume of the box if it is 10cm high
Answers
Answer:
810 cubic centimetres
Step-by-step explanation:
If the box has a square base, the length and breadth of the box are the same. In this case, it's 9cm
The formula for the area of a rectangular prism is
A = lbh
where
l = length
b = breadth
h = height
Therefore the area is 9x9x10 = 810cm³
Answer:
V = 810 cm³
Step-by-step explanation:
V = Ab × h
Ab = s² = (9cm)² = 81 cm²
V = 81cm²×10cm = 810 cm³
(CAN SOMEONE PLEASE EXPLAIN JUSTIFICATION) Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria. No Common Tangents Diagram: Justification:
Answers
Answer:
To justify a solution, students will need to be able to use appropriate mathematical language to give reasons for the particular approach used to solve a problem. Any time that a student produces a 'solution' in an attempt to solve a problem, that 'solution' needs to be justified.
Step-by-step explanation:
Mr. Jackson took the 8th grade class on
field trip. While taking attendance, he
noticed there were 51 boy and 21 girls on
the trip. Write the ratio of boys to girls, as a
fraction in simplest terms
Answers
Answer:
17/7
Step-by-step explanation:
the ratio would be 51/21 then to simplify divide both numbers by 3 to get 17/7
Hi there! :)
Answer:
[tex]\huge\boxed{\frac{17}{7} }[/tex]
Given ratio of 51 boys to 21 girls:
Write as a ratio:
[tex]51 : 21[/tex]
Divide both terms by GCF, or 3:
[tex]\frac{51}{3} : \frac{21}{3}[/tex]
[tex]17 : 7[/tex] or [tex]\frac{17}{7}[/tex]
Therefore, the ratio is 17 boys to 7 girls, or [tex]\boxed {\frac{17}{7}}[/tex]
Use the diagram below to answer the questions.
Which are shown on the diagram? Check all that apply.
JL
KM
JK
PK
LJK
MJ
Answers
Answer:B, C, & F
Step-by-step explanation:
got correct on edge
KM, JK, PK, and MJ are shown on the diagram. Then the correct options are B, C, D, and F.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries.
All the line segments will be
JK, JM, KM, MP, PK, and KL
The triangle KPM.
And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.
Then the correct options are B, C, D, and F.
More about the coordinate geometry link is given below.
https://brainly.com/question/18269861
#SPJ2
Tamara walked 3/4 mile in 1/2 hour. Which of the following represents the unit rate that Tamara walked? A. 1/2 mi/h B. 2/3 mi/h C. 3/4 mi/h D. 1 1/2 mi/h Include ALL work please!
Answers
Answer:
1 1/2 miles / hour
Step-by-step explanation:
We want distance / time
3/4 miles
---------------
1/2 hour
3/4 ÷ 1/2
Copy dot flip
3/4 * 2/1
3/2
1 1/2 miles / hour
Answer:
D
Step-by-step explanation:
Multiple (3/4) by 2 to find the information for one hour)
6/4 in one hour
3/2 or 1 + 1/2 mi/h
D is the answer
you move left 2 units and right 9 units. you end at (4,5). where did you start?
Answers
Answer:
You started at ( -3,5)
Step-by-step explanation:
You end at (4,5)
You got there by moving right 9 units so move left 9 units
Moving left is subtraction in the x direction
(4-9,5)
( -5,5)
Then move left 2 units so move right 2 units which is adding 2 in the x direction
( -5+2, 5)
( -3,5)
You started at ( -3,5)
The net of a right rectangular prism is shown below: Find the surface area of the prism with the given net (in square inches).
Answers
Answer:
248
Step-by-step explanation:
God bless u. I tried my best
Three cyclists simultaneously start racing on a circular track at 7 am. It takes them 10 minutes, 25 minutes and 15 minutes respectively to complete the round. If all of them start at the same point and go in same direction, when will they meet again at the start point?
Answers
Answer:
9:30 am
Step-by-step explanation:
factors of 10; 5 and 2
factors of 15; 5 and 3
factors of 25; 5 and 5
calculate lcm so, 5x5x3x2 =150
150 mins = 2hr 30mins
7am+2hr30min = 9:30 am
you move up 7 units and left 6 units. you end at (-1,5). where did you start?
Answers
Answer:I beleive it is (5,-2)
Step-by-step explanation:
In triangle PQR, m∠P = 83°, PQ = 7.6, and PR = 8.6. What is m∠R to the nearest degree? A. 45° B. 55° C. 35° D. 41°
Answers
Answer:
The unknown measurement of angle R to the nearest degree is 41°
Step-by-step explanation:
As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.
in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.
So, our equation will look like this.
[tex]tanx=\frac{7.6}{8.6}[/tex]
Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.
[tex]x=\frac{7.6}{8.6}(tan^-^1)[/tex]
Now, we solve. You can use a calculator to do these calculations.
The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.
How to do 28a ? Thanks
Answers
Answer:
Step-by-step explanation:
(m+1)²+(m-1)²=m²+2m+1+m²-2m+1=2m²+2=2(m²+1)
Answer:
True it does.
Step-by-step explanation:
(M+1)^2 + (M-1)^2 = 2(m^2 + 1)
M^2 + 2m + 1 + m^2 - 2m + 1 = 2(m^2 +1)
2m^2 + 1 = 2(m^2 + 1)
There's your work.
The ^ means number after is exponent.
Hope this helps, and have a good day :)!
5. The cost of movie tickets at the
Cinema Verite is 9 dollars for adults
and five dollars for children under 12.
During the Saturday and Sunday
matinees, adults are charged 8 dollars
for admission and children under 12
are charged 4 dollars. At any time at
all, there is a group discount for groups
of 15 or more adults at a cost of 6
dollars per ticket. What is the cost for 2
adults and 3 children during the
Saturday matinee?
a. 27
b. 28
C. 14
d. 32
Answers
Answer:
its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4
Please help! Simplify: 3(2x-4y) - 2(4y-x) Thank you!
Answers
Answer:
8x-20y
Step-by-step explanation:
Use the distributive property then add or subtract the terms(like terms)
3(2x-4y)-2(4y-x)
6x-12y-8y+2x
6x+2x-12y-8y
8x-20y
Hope this helps ;) ❤❤❤
Answer:
8x-20y
Step-by-step explanation:
3(2x-4y)-2(4y-x)
6x-12y-8y+2x
6x+2x-12y-8y
8x-12y-8y
8x-20y
Help plz and show work plz
Answers
Answer:
8
Step-by-step explanation:
Since this isosceles triangle has been broken down into two right triangles, and we already know that two sides are the exact same (note that there are 2 x's) that means BD and BC are going to be the exact same length. Since BD is 4, that means BC will be 4, and that means
[tex]4+4=8[/tex]
Hope this helped!
Drag the tiles to the correct boxes to complete the pairs.
The tables show proportional relationships between x and y. Match each table with its constant of proportionality.
ху
ху
ху
ху
1 10
4 20
215
1
4
2 20
8 40
430
2
8
330
12 60
645
312
4
15
Answers
Answer:
can you send a picture please? i have no clue how to answer this. it seems confusing with the numbers
what is the questions .......
Name five fractions whose values are between 3/8 and 7/12
Answers
Answer:
convert them to decimasls
Step-by-step explanation:
convert thhem to decimals to make it easier
Answer:
1/2 2/4 4/8 6/12 9/18
Step-by-step explanation:
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability. drawing a yellow chip, replacing it, and choosing a blue chip.
Answers
This rule states that to find the intersection of two events, multiply them together.
First find the probability of drawing a yellow chip. Do this by creating a fraction.
Probability of drawing a yellow chip:
3 <— 3 yellow chips
—
25 <— 25 total chips
Then find the probability of drawing a blue chip:
6 <— 6 blue chips
—
25 (still 25 as you put the yellow chip back in)
Now that we have the two probabilities multiply them together.
3/25 * 6/25 = 18/625 = about 2.8% chance
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.
Then the total number of the event will be
Total event = 7 + 9 + 3 + 6
Total event = 25
The probability of getting a yellow chip will be
Favorable event = 3 {yellow chip}
Then the probability will be
P(Y) = 3 / 25
The probability of getting a blue chip will be
Favorable event = 6 {blue chip}
Then the probability will be
P(B) = 6 / 25
Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be
P = P(Y) x P(B)
P = (3/25) x (6/25)
P = 18 / 625
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice,
where the rice-to-spice ratio is 15 : 1. He currently has 40 grams of the spice blend, and he can go buy
more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David
spends 4.50 dollars on rice.
How many servings can David make with the current amount of spice he has?
Answers
Answer:
8 servings of rice
Step-by-step explanation:
the rice-to-spice ratio is 15:1 so 75 grams is 5 times more making it 75:5 each serving. 5 grams of spice is in each serving so divide 40 grams (which is the amount of spice he has) with the 5 grams of spice each serving. After you’ve done that, you’ll see you got 8 as your number, saying that it will take 8 servings of rice to finish the grams of spice.
Hope this helped!
Guys pls help me in this coz im very confused in this
Answers
Answer:
Step-by-step explanation:
1. Copy the diagram using ruler for parallel lines * ensure they (the parallel lines) each have the same distance each point to one another before drawing or adding the transversal line L(3)
The transversal doesn't have to be exact to the diagram but the parallel lines do have to be correct to prove that angle 1 + 5 are identical and fit into each other.
2. They only become corresponding because of being on transversal to add to 180 degree. As you will see when you draw angle 1 on colored paper near the first blue/green circle and match with 5 below in the second blue/green circle.
3. The reason they want tracing paper afterwards of the same shape is so you can use alternatively to cover angle 5 in your book.
You will see they do cover each other.
Additional
''When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. ''
Should you enter search for the above statement it will show you an interactive tool you can use for regarding maths transversal.
Here you can compare parallel lines like l(1) and l(2) as even if they were not parallel they would still be corresponding angles. As you will see.
f(x) = x2 – x-1
What is the average rate of change of f over the interval -1 < x < 1?
Answers
Answer:
-2 < x - 1 < 0
Step-by-step explanation:
2x - × - 1 = x -1 -1 < x < 12. -2 < x - 1 < 0
Papa Bear ate 1/2 of a pie. Mama Benr ate 1/2 of what was left Baby Bear ate 1/2 of what
was left after Mama Bear finished.
3) What fractional part of the pie did Mama Bear eat?
4) What fractional part of the pie was left for Goldilocks?
Answers
Answer:
1/4 was eaten by mama and Baby also ate 1/4
Step-by-step explanation:
goldilocks got 0/4
if papa ate half and baby and mama each ate 1/4 they equal up to 2/4 which is 1/2
papa ate 1/2 and 1/2+1/2=1
Mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.
What is the fraction?The fraction is a rational number that simply divides two numbers and is written in the form a/b where a is called the numerator and b is called the denominator.
Let the full part of the pie is a.
Papa bear ate 1/2 part of the pie.
Then papa bear ate = (1/2)a
rest of the pie is= a- (1/2)a= (1/2)a
Mama bear ate (1/2) of the rest of the pie.
so mama bear ate = (1/2)(1/2)a= (1/4)a part of pie
rest of pie after mama bear ate = (1/2)a- (1/4)a= (1/4)a
Then baby bear ate (1/2) of the rest of the pie.
so baby bear ate = (1/2)(1/4)a= (1/8)a part of pie
rest of pie after baby bear ate = (1/4)a- (1/8)a= (1/8)
The rest of the part was left for GoldLiocks.
Therefore mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.
Learn more about fraction
here: https://brainly.com/question/78672
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If a discount of 20% off the retail price of a desk saves mark$45 how much did he pay for the desk?
Answers
Answer:
$180
Step-by-step explanation:
what is 45 20% of? This is what we need to find! To do this we have to take 45 and divide it by .2 which will give us 225. To check that this is the answer we take 45 and divide it by 225. This brings us back to 20%. He wouldve paid $225 for the desk, but there was a $45 discount, and after subtracting the discount we are left with $180
He paid 20$ for the desk
