Step-by-step explanation:
To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
To graph a system of equations, you need an equation in y=mx+b form. The b is the y intercept and the starting point for your line on a graph. The m is your slope and the x and y are your input and output.
So if your rule is y=4x+3, you start your line at (0,3) and go up 4 units and to the right 1 units because the y intercept is 3,and the slope is 4 or 4/1.
:) ur welcome
hope this helped!
Which line is the correct graph for y = -3/4x
A/ blue line
B/ purple line
C/ green line
D/ red line
Answer:D
Step-by-step explanation:
the numerator of a fraction is 2 less than the denominator . If one is added to its denominator ,it becomes 1/2 ,find the fraction.
tell me with full explanation
Answer:
numerator = 2 and denominator is 4
Step-by-step explanation:
let the denominator be x
numerator = x-2
according to the question
[tex]\frac{x-2}{x} = \frac{1}{2}[/tex]
do cross multiplication
x*1 = 2(x-2)
x = 2x -4
4 = 2x - x
4 = x
therefore denominator is 4
numerator = x-2
=4-2
=2
What is the answer? Some please help!!
Answer:
Area of the figure = 200 cm²
Step-by-step explanation:
Area of rectangle A = Length × Width
= 5×9
= 45 cm²
Area of rectangle B = 5 × 11
= 55 cm²
Area of rectangle C = 5 × 9
= 45 cm²
Area of rectangle D = 5 × 7
= 35 cm²
Area of rectangle E = 10 × 2
= 20 cm²
Total area of the figure = 45 + 55 + 45 + 35 + 20
= 200 cm²
The expression 2x+(x-7)^2 is equivalent to x^2+bx+49 for all values of x.
what is the value of b?
A. 12
B. -12
C. 14
D. -14
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
What is an expression?An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.
According to the question,
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]
⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]
⇒[tex]-12x=bx[/tex]
⇒ [tex]b=-12[/tex]
∴ [tex]b=-12[/tex]
Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
Learn more about expression here
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Pls help me with this question
Answer:
its 6
Step-by-step explanation:
Answer:
Option D, 5 ounces
Hope this helps!
The distance to your cousin's house is 156 miles, and the distance to Dallas is 936 miles. If it took 3 hours to drive to your cousin's house, how long would it take to drive to Dallas?
Answer:
18 hours
Step-by-step explanation:
Calculation to determine how long would it take to drive to Dallas
First step is to calculate the Miles per hour, mph
Using this formula
Miles per hour, mph = Miles/hour
Let plug in the formula
Miles per hour=156 miles/3 hours
Miles per hour= 52 mph
Now let determine how long would it take to drive to Dallas
Using this formula
Distance overtime=Distance per miles/Miles per hour
Let plug in the formula
Distance overtime=936 miles/52 mph
Distance overtime= 18 hours
Therefore how long would it take to drive to Dallas will be 18 hours
The vertices of quadrilateral DEFG are D(-2, 6), E(-4, 6), F(-6, 9), and G(-1, 9). Find the coordinates of the image of quadrilateral DEFG after a translation using the rule (x, y) → (x + 1, y - 6), a reflection over the x-axis, and a reflection over the y-axis
Answer:
the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)
Step-by-step explanation:
after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)
after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)
after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)
Allison measured her rectangular deck and found that it has dimensions of 512 yards by 8 yards. Both the length and the width may have a measurement error of up to 15%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answer:
5416.96 square yards
Step-by-step explanation:
To find the maximum possible area, increase the dimensions by 15%, since the measurement error may be up to 15%.
512(1.15) = 588.8
8(1.15) = 9.2
Find the area using the area formula, A = lw
Plug in the length and width:
A = lw
A = (588.8)(9.2)
A = 5416.96
So, the maximum possible area is 5416.96 square yards
What is the value of s?
Answer:
s = 53.3
Step-by-step explanation:
The square shows that the angle is 90 degrees, and is a shared angle. Therefore, the angles together make 90.
So, to get the unknown angle, you subtract the other angle by 90.
36.7 - 36.7 = 53.3
Find m∠E.
m∠E= ___∘
HELP 20 points
Answer:
55
Step-by-step explanation:
Angle C = Angle D (Corresponding Angles)
Therefore, BD//AC
Angle A = Angle B (Corresponding Angles)
=>6x-15=5x-1
=>6x-5x=-1+15
=>x=14
Angle B=5x-1
=5(14)-1
=70-1
=69
Angle D=4x
=4(14)
=56
Angle E=180-(Angle D+ Angle B) [Angle Sum Property]
=180-(69+56)
=180-125
=55
SOMEONE PLEASE HELP ME
100 POINTS HELP! THIS IS A PROJECT. BUT AN ANSWER TOMORROW OR TODAY IS OKAY!
Describe how to find the terms mean, median, mode, and range of a group of numbers then, give examples. Make sure you include the data set (the group of numbers) you will be working with.
Answer: We will be working with the numbers 1-4, you can change the numbers to anything, just change the math.
The mean is the "average" of a set of numbers. Add up ALL the numbers, and then divide by how many numbers there are.
Ex. 1+2+3+4 then, 10/4 =2.5
The mode is the number that occurs most frequently in a set of numbers.
Ex. 1, 2, 2, 2, 3, 4, 2, 2, 4, : The mode would be 2.
The range is the difference between the smallest and highest numbers.
Ex. 1, 2, 3, 4, ,3, 2, 3, 4, : Put all the numbers in order, then subtract highest from lowest.
1,2,2,3,3,3,4,4
4-3=1 The range would be 1.
Answer:
The median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between. For example, the median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode! The difference between the highest and the lowest values in a set. Interval, also called range, a set of real numbers that includes all numbers between any two numbers in the set.
Find the lateral area of a cone with a diameter of 10 centimeters and a slant height of 9 centimeters round to the nearest tenth
Answer:
The lateral area of a cone is 141.4 square centimeters
Step-by-step explanation:
Mathematically, we have the formula for the lateral area of a cone as;
A = pi * r * l
where r is the radius of the cone and l
is the slant height of the cone
Mathematically, the radius is simply half the measure of the diameter
we have that as 10/2 = 5 cm
So substituting these values;
A = 22/7 * 9 * 5
A = 141.4 square centimeters
If f(x) = x2 – 3, then f(-1) is equivalent
to
Answer:
negative 5. or -5
Step-by-step explanation:
f(-1)= (-1)2-3
2 times -1= -2
-2-3= -5
f= -5
Find each product. (30 Points!)
just need an answer
 can someone pls help for brainlest
Answer:
[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]
Dan sells beaded necklaces. Each large necklace sells for $6.40 and each small necklace sells for $4.80. How much will he earn from selling 7 large necklaces
and 1 small necklace?
Step-by-step explanation:
my horses are working and in the image above
47 cm
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
37 cm
35 cm
24 cm
The surface area is cm².
Answer:
I'll setup the problem. But I have a question about the car the equal sides of the isosceles triangle. We'll go with 37 cm
Step-by-step explanation:
you will have to find the areas of the 2 isosceles triangles at either end and the 3 rectangles around the triangles.
Area for the triangles
[tex]A = \frac{1}{2} bh[/tex]
b = base of triangle, I'll guess it's 24cm
h = height (draw a line between the vertex of the equal sdes to the base at a right angle, then use Pythagoras to
find the height)
[tex]
h = \sqrt{ {37}^{2} - {( \frac{1}{2}b) }^{2}}[/tex]
area for rectangles
37x47 + 24x47 + 37x47
sorry it's a little sloppy (I'm on a cellphone)
comment if you have questions
A carpenter needs three pieces of wood to complete a furniture. The longest piece must be twice the length of the middle-sized piece. The shortest piece must be 2 in. Shorter than the middle-sized piece. If a board 70 in. Long is to be used, then find the length of each piece.
Answer: Shortest piece = 16 in.
Middle piece = 18 in.
Longest pice = 36 in.
Step-by-step explanation:
Let x be the length of the shortest piece.
as per given, length of the middle piece = x+2
Length of the longest piece=2(x+2)
Total length = 70 in.
i.e. [tex]x+(x+2)+2(x+2)=70[/tex]
[tex]2x+2+2x+4=70\\\\4x+6=70\\\\4x=70-6\\\\4x=64\\\\ x=\dfrac{64}{4}\\\\ x=16[/tex]
Shortest piece = 16 in.
Middle piece = 18 in.
Longest pice = 2(18) in.
= 36 in.
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer.
Answer:
Step-by-step explanation:
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer
Which is the correct data set for the box-and-whisker plot shown above?
Answer:
b
Step-by-step explanation:
10.5 rounded to 14.25 =15 so that is called natural number
Brainliest for help please
Answer:
B
Step-by-step explanation:
Given
5 [tex]\frac{11}{40}[/tex]
= [tex]\frac{5(40)+11}{40}[/tex]
= [tex]\frac{200+11}{40}[/tex]
= [tex]\frac{211}{40}[/tex] → B
PLS ANSWER ASAP PLS DUE AT 9:35
Answer:
your answer is option B
Answer:
Your answer came out to be B.
What is the sum of the measures of the interior angles of an octagon?
Answer:
1080
Step-by-step explanation:
(n-2) × 180
(8-2) × 180= 1080
Please help, will give BRAINLIEST
Three unit squares (1-by-1 squares) and two line segments connecting two pairs of vertices are shown.
What is the area of AABC?
Answer:
Step-by-step explanation:
I don't know if, just because I'm a high school math teacher, I way over-think things, but the method I used to come to the answer here is crazy and convoluted...but it works. Follow me here while I explain it.
I put that drawing you have there in a coordinate plane and made a point D at the end of the segment that begins with A; made a point E at the end of the segment that begins with B. Putting that into a coordinate plane with E at the origin gives A coordinates of (0, 2); B (1, 2); D (2, 1). We need to find the coordinates of C to use later. That's the first job.
When you put this into a coordinate plane, it allows you to write the equations of the segments AD and BE.
AD: y = -1/2x + 2
BE: y = 2x
If you set these equal to each other, you can see where the lines intersect (the coordiantes of this point) by solving for x and y.
-1/2x + 2 = 2x and
2.5x = 2 so
x = .8
And if x = .8, we can sub that into either equation to find y:
y = 2(.8) so
y = 1.6
So the coordinates of C are (.8, 1.6).
Now we can find the lengths of each of these segments AC and BC. We already know that the length of segment AB is 1.
Find the lengths of each of these segments using the coordinates for each in the distance formula. The lengths are as follows:
AC = .8944
BC = .4472
This allows me to use the Law of Cosines to find the measure of angle A.
Angle A = 26.56°
Now I can use the area formula for a triangle that says
[tex]A_{triangle}=\frac{1}{2}AB*ACsinA[/tex] and
[tex]A=\frac{1}{2}(1)(.8944)sin26.56[/tex] so
A = .1999 units squared
Gina and her sister built a fort out of boxes. What is the volume of the fort?
Answer:
i don't know its hard
Step-by-step explanation:
SORRY
We will see that the total volume of the fort of boxes is 70.75 ft^3
How to get the volume of the fort?
For a rectangular prism of length L, width W, and height H, the volume is:
V = L*W*H
Then we can find the volume of the 3 boxes shown.
The first one has dimensions of 3ft by 2ft by 2.5ft, so the volume is:
V = 3ft*2ft*2.5ft = 15ft^3
The second box has dimensions of 3ft by 1.75ft by 3ft, so the volume is:
V' = 3ft*1.75ft*3ft = 15.75 ft^3
The last box has dimensions of 4ft by 4ft by 2.5ft, so the volume is:
V'' = 4ft*4ft*2.5ft = 40ft^3
So the total volume of the fort is:
V + V' + V'' = 15ft^3 + 15.75 ft^3 + 40ft^3 = 70.75 ft^3
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
A 200 foot long zipline cable is attached to the top of a tree and extends to an anchor on the ground. The cable makes an angle of 61º with the ground. Calculate how far away the foot of the cable is to the base of the tree.
Answer:
~ 97 ft
Step-by-step explanation:
cos = adj/hyp
cos61 = adj/200
200 * cos61 = adj
adj = 96.961924049267406
~ 97 ft
The foot of the cable is 95 feet away from the base of the tree.
What is Trigonometric Function?Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.
We have,
The angle between the ground and the cable is given as 61º.
In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.
Cosine(angle) = adjacent/hypotenuse
Cos(61º) = adjacent/200 ft
adjacent = Cos(61º)x200 ft
adjacent ≈ 0.475 x 200 ft
adjacent ≈ 95 ft
Therefore, the foot of the cable is 95 feet away from the base of the tree.
Learn more about Trigonometric Ratio here:
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may I have help?! Thanks
Answer:
Hello! answer: A
Step-by-step explanation:
9 × 3 × 12 = 324 cm3
Answer:
324 cm cubed
Step-by-step explanation:
length×width×height. hope this helps!
y=2x+5
how do i find the x and y coordinates?
Answer:
for each x, the difference in the y value it has an origin at (0,5)
Step-by-step explanation:
if x equals 0, y equals 5.
if x equals 1, y equals 7 and so on
if x equals -1, y equals -5 and so on.
Answer:
I dont know to be honest I dont remember so yeahmmmm ummmmm
