Nolan plots a point at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

Answers

Answer 1

Answer: Equation of a line passing through a point is given by: (y - y1)/(x - x1) = m. where m is the slope.
Hence, we have
(y - 3)/x = 2
y - 3 = 2x
y = 2x + 3

Answer 2

Answer:

Answer:

B. y = 2x + 3

Step-by-step explanation:

did it on edge 2020

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What's the answer for 7r-5=10

Explain the distance formula. Then use it to calculate the distance between A(1,1) and B(7,-7).

Answers

the distance formula:
$d= \sqrt{ (x_(2) - x_(1)) ^(2)+ (y_(2) -y_(1)) ^(2) }$

A(1,1) B(7,-7)

$d= \sqrt{ (7 - 1) ^(2)+ (-7 -1) ^(2) }$

$d= \sqrt{ (6) ^(2)+ (-8) ^(2) }$

$d= √( 36 + 64 )$

$d= √( 100 )$

$d=10$

The answer is 10

Answer:

d=10

Step-by-step explanation:

Lucy needs to hire a host. host a is offering his services for an initial $75 in addition to $13.75 per hour. hostess b is offering her services for an initial $80 in addition to $12.25 per hour. when will the two hosts charge the same amount of money? if necessary, round your answer to the nearest tenth.

Answers

Host A
$75+($13.75h)

Host B
$80+($12.25h)

The product of 8 and the sum of a number m and 6 is 12.

Answers

8 (m+6) =12 is the way to write it

Find sin(7pie/4) using exact values

Answers

$sin( ( 7\pi )/(4) )=-sin(2 \pi - ( 7\pi )/(4) )=-sin ( \pi )/(4) =- (1)/( √(2) )$

PLZ HELP ASAP2. One load of gravel contains 240 ft2 of gravel. The area A that the gravel will cover is inversely proportional to the depth of d to which the gravel is spread.
a. Write an inverse variation model for the relationship between the area and depth for one load of gravel.
b. A designer plans a playground with gravel 6 in. deep over the entire play area. If the play area is a rectangle 40 ft. wide and 24 ft long, how many loads of gravel will be needed? (4 points)

I understand everything else but this question.

Answers

Answer:

A. y= $(z*240ft\n\n^(3) )/(x)$

B. z= 2

Step-by-step explanation:

The format for the inverse variation formula is y =

This is a bit different compared to the format of directly variation formula y= kx

In this case, one load of gravel have $240 ft^(3)$ volume. The area is inversely proportional with depth, so formula for the volume is Area x Depth (V= A x D). The inverse variation formula will be: A= V/D

If the number of loads=z, each load is $240 ft^(3)$ , area = y and depth = x , then the model will be:

y= $(z*\nk)/(x)$

y= $(z*240ft\n\n^(3) )/(x)$

The play area is a rectangle 40 ft wide and 24 ft long, then the area will be: area = 40ft * 24ft= 960 $ft^(2)$

We have area(y= 960 $ft^(2)$ ) and depth(x= 6 in- 0.5 ft) , now we can find out the number of loads needed(z) by using the equation.

y= $(240ft*z\n\n^(3) )/(x)$

960 $ft^(2)$ = $(z*240ft\n\n^(3) )/(x)$

$480 ft^(2) * z$ = 960 $ft^(2)$

z= $(960ft^(2) )/(480ft^(2))$ = 2

Evaluate the expression 4a - 3b + c when a = 2, b = 3, and c = 5.

Answers

Final Answer:

The expression 4a - 3b + c, when a = 2, b = 3, and c = 5, evaluates to 4.

Explanation:

To evaluate the expression 4a - 3b + c when a = 2, b = 3, and c = 5, we substitute these values into the expression:

Substitute the values of a, b, and c into the expression:

4(2) - 3(3) + 5

Perform the operations in order:

8 - 9 + 5

Calculate the final result:

-1 + 5 = 4

So, the expression evaluates to 4 when a = 2, b = 3, and c = 5.

Substituting values into expressions: When you have variables in an expression, you can substitute specific values for those variables to find the result. This is a fundamental concept in algebra and mathematics in general, used for solving equations and evaluating expressions.

Learn more about expression

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Answer:

Step-by-step explanation:

given the expression

4a - 3b + c ← substitute a = 2, b = 3, c = 5 into the expression

= 4(2) - 3(3) + 5

= 8 - 9 + 5

= - 1 + 5

= 4

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