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3 years ago

Write an equation of the line that passes through (1,2) and is parallel to the line y = -5x +4

Mathematics

1 answer:

STatiana [176]3 years ago

6 0

Answer:

y=-5x+7

Step-by-step explanation:

Prallel lines have the same slope

so the slope of the unknown line is -5

and passes through(1,2)

y-2=-5(x-1)

slope-intercept form:y=-5x+7

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Evaluate each expression for the given values:

IrinaK [193]

B)-18

7(-3)+(-2(-3))+(-3)
(-21)+(-2(-3))+(-3)
(-21)+6+(-3)
(-24)+6
-18

8 0

3 years ago

A scale model of a tower is 24 inches tall and 18 inches wide. If the height of the actual tower is 60 feet, what is its width?

alex41 [277]

Answer:

45 feet

Step-by-step explanation:

To find the width of the model, we need to find the scale of the model to the actual tower.

Since we know the height of both towers, we can use that as the basis.

24 inches : 60 feet

12 inches : 30 feet

6 inches : 15 feet

So the width of the tower is 18 inches wide.

18 inches will then be equal to 12 + 7 inches : 30 + 15 feet

18 inches : 45 feet

6 0

3 years ago

3x - 3y = -3<br>2x - y = -5

Korolek [52]

For this case we must solve the following system of equations:

$3x-3y = -3\\2x-y = -5$

To solve we follow the steps below:

We multiply the second equation by -3:

$-6x + 3y = 15$

Thus, we have the equivalent system:

$3x-3y = -3\\-6x + 3y = 15$

We add the equations:

$3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4$

We look for the value of the variable "y":

$2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3$

Thus, the solution of the system is given by:

$(x, y): (- 4, -3)$

Answer:

$(x, y): (- 4, -3)$

4 0

3 years ago

Solve for n: 21 K - 3n + 9 p is greater than 3 p + 12

Digiron [165]

Answer:

n > p + 1 + 7k

Step-by-step explanation:

21k - 3n + 9 > 3p + 12

21k - 3n > 3p + 12 - 9

3n > 3p + 3

3n > 3p + 3 + 21k

n > (3p + 3 + 21k)/3

n > p + 1 + 7k

6 0

3 years ago

If you have 12 cups of flour and 3 eggs how many loaves of bread can you make

scoundrel [369]

How much of each is needed to make the bread?

5 0

3 years ago