Answer:
B. m = [tex]\frac{3}{2}[/tex], y-int = 3
Step-by-step explanation:
To find the slope of the line, we need to plot two points
(2, 6) (-2, 0)
m = slope
Then use the Slope-Formula to Solve for the slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{0-6}{-2-2}[/tex]
m = [tex]\frac{-6}{-4}[/tex]
m = [tex]\frac{6}{4}[/tex]
m = [tex]\frac{3}{2}[/tex]
The Slope is [tex]\frac{3}{2}[/tex]
The y-intercept is 3 because the line is going 3 units upwards on y axis!
Equation: y = 3/2x + 3
Slope: 3/2
y-intercept: 3
Answer:
m = 3/2 int- 3
Step-by-step explanation:
The line goes up 3 and goes right 2. The line crosses the y-intercept at 3.
se cumple que: A^2 + B = 486 y el M.C.D. de A y B es 9. ¿Cuál es el valor de B
Answer:
i dont know spanish
Step-by-step explanation:
I will give 25 points for it if solve this problem
Answer:
5/27
30/81 = 10/17
it's just ratios but if you need then vice versa, swap numerator and denominator
Answer:
the person on top is correct :)
Step-by-step explanation:
The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11
Answer:
Step-by-step explanation:
Use the slope formula here along with the fact that the slope is equal to 1:
[tex]1=\frac{-6-1}{x-4}[/tex] and
[tex]1=\frac{-7}{x-4}[/tex] and cross multiply to get x - 4 = -7 so
x = -3
The function C(x) = 400x - 0.2x ^ 2 represents the total costs for a company to produce a product, where in dollars and x is the number of units sold. Which statement is true? is the total cost
Answer: it b y’all
Step-by-step explanation: I took the test
Answer:
B
Step-by-step explanation:
To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0. C(x) = 400x - 0.2x² dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation, C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B.
Which one is it?
a) <
b) =
c) >
Answer:
B) =
Step-by-step explanation:
When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.
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Have a great summer :)
Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please show your work and steps, so partial credit may be given:
Answer:
Perimeter = 30
Area = 30
Step-by-step explanation:
[tex](x+8)^2 -x^2 = 12^2[/tex]
[tex]x^2 +16x +64 - x^2 = 144[/tex]
[tex]16x+64=144[/tex]
[tex]16x = 80[/tex]
[tex]x = 5[/tex]
Double check:
[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]
Perimeter:
[tex]12+5+13=30[/tex]
Area([tex]\frac{1}{2}bh[/tex]):
[tex]\frac{1}{2}[/tex] × 12 × 5 = 30
According to Pythagorean theorem,
Δ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (x + 8)² = x² + 12²
⇒ x² + 64 + 16x = x² + 144
⇒ 16x = 80
⇒ x = 5
Hypotenuse = (x + 8) = (5 + 8) = 13
1st Leg = 5
2nd Leg = 12
We know that : Perimeter is the Sum of all sides of the Triangle
⇒ Perimeter = Hypotenuse + 1st Leg + 2nd Leg
⇒ Perimeter = 13 + 5 + 12
⇒ Perimeter = 30
We know that :
[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]
Base = 1st Leg
Height = 2nd Leg
[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]
[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]
An aquarium holds 11.81 cubic feet of water, and is 2.8 feet long and 1.7 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
2ft
Step-by-step explanation:
Depth = volume / ( length x width)
11.81 / (2.8 x 1.7)
11.81 / 4.76
depth = 2.48
2 ft (to the nearest whole number)
find the equation of a circle with a point at ( 10 , - 4 ) and a point at ( -2 , - 4 )
Answer:
Solution given:
letA=(10,-4)
B=(-2,-4)
centre[C](h,k)=[tex]\frac{10-2}{2},\frac{-4-4}{2}=(+4,-4)[/tex]
radius=[tex]\sqrt{(4-10)²+(-4+4)²}=6[/tex]units
we have
Equation of a circle is;
(x-h)²+(y-k)²=r²
(x-4)²+(y+4)²=36
or.
x²-8x+16+y²+8y+16=36
x²-8x+8y+y²=36-32
x²-8x+8y+y²=4
The equation is (x-4)²+(y+4)²=36 or x²-8x+8y+y²=4.
Answer:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]
Step-by-step explanation:
the given points are the diameter points of circle because notice that in the both points y coordinate is the same therefore it's a horizontal diameter
since (10,-4),(-2,-4) are the diameter points of the circle the midpoint of the diameter will be the centre of the circle
remember midpoint formula,
[tex] \displaystyle M = \left( \frac{x _{1} + x_{2} }{2} , \frac{ y_{2} + y_{2}}{2} \right)[/tex]
let,
[tex] \displaystyle x _{1} = 10[/tex][tex] \displaystyle x _{2} = - 2[/tex][tex] \displaystyle y _{1} = - 4[/tex][tex] \displaystyle y _{2} = -4[/tex]thus substitute:
[tex] \rm\displaystyle M = \left( \frac{10 + ( - 2)}{2} , \frac{ - 4 + ( - 4)}{2} \right)[/tex]
simplify addition:
[tex] \rm\displaystyle M = \left( \frac{8}{2} , \frac{ - 8}{2} \right)[/tex]
simplify division:
[tex] \rm\displaystyle M = \left( 4, - 4 \right)[/tex]
so the centre of the circle is (4,-4)
since it's a horizontal diameter the the redious will be the difference between the x coordinate of the Midpoint and the any x coordinate of the given two points but I'll use (-2,-4) therefore the redious is
[tex] \displaystyle r = 4 - ( - 2)[/tex]
simplify which yields:
[tex] \displaystyle\boxed{ r =6}[/tex]
recall the equation of circle
[tex] \displaystyle (x - h) ^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
we acquire that,
h=4k=-4r=6therefore substitute:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y - ( - 4))}^{2} = {6}^{2} [/tex]
simplify:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]
and we are done!
also refer the attachment
(the graph is web resource of desmos)
what additional information is needed to prove the triangles congruent by AAS
Answer:
pq=su
Step-by-step explanation:
its the only one that makes sense
Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
Are the lines parallel, perpendicular or neither? Show all work to justify your
response.
Answer:
neither
Step-by-step explanation:
Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8
Slope of the second line: (2-3)/4-(-4) = -1/8
They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,
A backpack that normally sells for $40 is on sale for $38. Find the percent of increase or decrease. *20 POINTS* (PLS SHOW WORK)
Answer:mj,bhvb n
mnbnmb mbnmbnb
Step-by-step explanation:
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
6.5 cm
17.4 cm
14.6 cm
9.4 cm
Answer:
6.5cm)
Step-by-step explanation:
13.1 cm x 13.1 cm = 171.61
11.4 cm 11.4 cm = 129.96
171.61 - 129.96 = 41.65
Find the square root of 41.65.
41.65 = 6.4536811201050 x 6.4536811201050
Round 6.4536811201050.
x = 6.5cm
Note:
Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!
-kiniwih426
PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST
The sum of a number is
4 less then 2 times a
number is 35 what is the number?
21.5
Step-by-step explanation:35 divided by 2 = 17.517.5 + 4 = 21.5Just do the inverse14cm and 31cm and 34cm equal
Answer:
if its addition then it will be 79cm
help meee it's pythagorean theorem, just need answers plsssssss
Answer:
Hi, there your answer is C or D and the second page is C
Step-by-step explanation:
Select the correct answer.
A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second-grade students occupy the first row?
OA 25P20
OB. SPs * 20P15
OC5C525C14
OD. SPs *15P15
OE PSX25C5
Answer:
B. [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
Step-by-step explanation:
No. of students from first grade = 15
No. of students from second grade = 5
There are 5 rows of seats
Each row contains 5 seats
Total seats = 25
No. of ways for second-grade students to occupy the first row (i.e first 5 seats) = [tex]^{5} P_{5}[/tex]
Remaining seats = 20
So, now we are left with 15 first grade students
So, No. of ways for first-grade students occupy remaining seats = [tex]^{20} P_{15}[/tex]
Using the counting rule principle,
No. of ways for the students can be seated if all of the second-grade students occupy the first row = [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
So, Option B is the correct answer
Hence, no. of ways for the students can be seated if all of the second-grade students occupy the first row is ×
There are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
What is permutation?A permutation in math is the number of ways in which a set of data or objects can be ordered or arranged, where the order matters.
Given that, a school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second-grade travel in the bus.
Since you have to place all first-grade students in the first three rows,
Therefore,
For the 15 first-graders of the first three rows (15 seats), we have ¹⁵P₁₅ since all 15 places have to be occupied by all 15 first-graders.
Then we have 10 remaining seats left to be assigned to the 5 second-graders = ¹⁰P₅
We then multiply the permutation numbers of those two arrangements to get the total ways:
¹⁵P₁₅ x ¹⁰P₅
Hence there are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
Learn more about permutation click;
https://brainly.com/question/30649574
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find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)
Answer:
The answer is (0,19) or (0,-5).
By distance formula,
after squaring on both sides we and solving we get,
so, y=19 or -5
Step-by-step explanation:
you get the idea, but i don't think this is the answer yet?
The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there
Answer:
18
Step-by-step explanation:
Calculation to determine how many coloured paper are there
Let 3x represent the number of coloured papers
Let 8x represent the number of white papers
Given that 8x=48
Hence,
x=48/8
x=6
Now let determine how many coloured paper are there
Coloured paper=3x
Coloured paper=3(6)
Coloured paper=18
Thereffore the number of coloured paper that are there is 18
Sometimes you can use the distributive property to expand an expression.
You can expand - 3(5 - x) into the equivalent expression -15 + 3x. Show
you can use the distributive property to expand -4(-a+2) to get an
equivalent expression.
how
Given:
After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].
The given expression is [tex]-4(-a+2)[/tex].
To find:
The equivalent expression by using distributive property.
Solution:
According to the distributive property of multiplication over addition, if a, b, c are real values, then
[tex]a(b+c)=ab+ac[/tex]
We have,
[tex]-4(-a+2)[/tex]
Using distributive property of multiplication over addition, we get
[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]
[tex]-4(-a+2)=4a+(-8)[/tex]
[tex]-4(-a+2)=4a-8[/tex]
Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].
What is the value of n?
Answer:
n = 28 degree
Step-by-step explanation:
2n + 17 + 2n - 5 + 2n = 180 degree (sum of interior angles of a triangle)
6n +12 = 180
6n = 180 - 12
n = 168/6
n = 28 degree
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares
9. Leonard made a deposit of $4,500 into a
savings account which earns 7% annual
compound interest. Assuming he makes no other
deposits or withdrawals, which of the following
shows the amount of interest his account should
earn after 15 years?
A. $12,415.64
B. $7, 915.64
C. $16,915.64
D. $8,115.64
(please help, it’s urgent) :)
Answer:
id say a
Step-by-step explanation:
The amount of interest his account should earn after 15 years is:
$7, 915.64.
Here, we have,
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days
Let, A= x
Now, x =$4,500(1+7/100×365)^(365×15)
x=$12415.64
i.e. final amount = $12415.64
so, the amount of interest his account should earn after 15 years is:
$12415.64 - 4500 = $7, 915.64
Hence, the amount of interest his account should earn after 15 years is: $7, 915.64
To learn more on Compound interest click:
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18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–5, 23)
B. (–10, 2)
C. (5, –23)
D. (2, –10)
Hi there!
»»————- ★ ————-««
I believe your answer is:
C. (5, –23)
»»————- ★ ————-««
Here’s why:
I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
I don’t understand this equation. m= -3 and b = 3
can you please put the equation so i can answer it?
thank you!
Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?
Answer:
The answer is below
Step-by-step explanation:
1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:
Average speed = total distance / total time
Total distance = d miles + w miles
Jacqui drives three times as long as she walks during the trip, hence:
time spent driving = 3t
Total time = 3t + t
Average speed = total distance / total time
a = (d + w) / (3t + t)
2) (3t + t) represents the total time that Jacqui spends traveling to the beach.
3) Given that a = 36 miles per hour, total time = 2 hours
a = total distance / total time
36 miles per hour = total distance / 2 hours
total distance = 72 miles
Total distance = distance walk + distance drove
72 = distance walk + 70
Distance walk = 2 miles
bill changes £450 from his bank to $729 what exchange rate did he get?
Answer:
$1.62
Step-by-step explanation:
What is a two-column proof
Answer:
A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.
Step-by-step explanation:
Basically in simple terms, one side is the statements, and the otherside is the reasoning
Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml
Answer:
volume left in A is 80ml
Step-by-step explanation:
let original volume in both be x ml
after pouring from A to B
vol in A = x - 120
vol in B = x + 120
now it is given that
vol in B = 4 times vol in A
implies
[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]
hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml
PLEASE HELP! Math (recursive sequences)
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123