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3 years ago

write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.

Mathematics

1 answer:

natita [175]3 years ago

7 0

Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.

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HELP I REALLY NEED HELP

zepelin [54]

Answer: 72 inches squared

Step-by-step explanation:

So, the real floor of a classroom is 36 feet by 32 feet.

And the scale drawing, has length of the classroom equal to 9 inches.

What is the area in square inches of the floor in the scale drawing

1 foot = 12 inches

The length of the classroom, measured in feet, has been multiplied by 12, to get converted in inches. After that, it has been divided by a number, a proportion, to get to 9 inches.

36feet * 12 / x = 9 inches

432 inches / x = 9 inches

Now, to solve for x, we can cross-multiply

432 inches = 9x inches

Divide 9 inches on both sides.

x = 48

To solve the exercise, we need to calculate the floor's area in the scale drawing.

We have the length = 9 inches.

Now, let's calculate the width

Width = 32 feet * 12 / 48

Width = 384 inches / 48

Width = 8 inches

Area = Length * Width

Area = 9 inches * 8 inches

Area = 72 inches squared

Hope I helped!

6 0

2 years ago

A rectangle measures 16 cm by 4 cm. It has the same area as a square. Find the perimeter of the square.

Elis [28]

ok ... in this situation... we need to find the area of the rectangle first as it is equal to the area of square .

so .... area of rectangle = l×b= 16×4

= 64 ∴area of square = 64

area of square = s×s

∴to find one side of the square ... we need to find the root of 64 = 8

∴one side = 8

now : perimeter of square : 4 × sides = 4 × 8 = 32 ║

7 0

3 years ago

Which solid figure has one polygon base?

maks197457 [2]

Q1: The answer is A. pyramid.
A pyramid has one polygon base. A prism has two polygon bases. A cone has one circular base. A cylinder has two circular bases.

Q6: The answer is false.
Surface area of a rectangular prism is:
A = 2(wl + hl + hw)
A1 = 2(4*5 + 6*5 + 6*4) = 2(20+30+24) = 2*74 = 148
A2 = 2(6*4 + 5*4 + 5*6) = 2(24+20+30) = 2*74 = 148

Q7. The answer is A. 6 feet
The volume of rectangular prism is:
V = w * l * h
w = ?
So, just replace the knowing facts:
288 = w * 8 * 6
288 = w * 48
w = 288/48 = 6

Q8: The answer is 216 ft³
The volume of the cube is:
V = a³
Since a = 6, then:
V = 6³ = 216

8 0

3 years ago

Read 2 more answers

inn [45]

Answer:

120

100+5w=m (m is his money after saving up)

4 0

2 years ago

Is 1/4 greater or is 5/4 grater

Bumek [7]

Answer: 5/4

Step-by-step explanation:

if two number have the same denominator, then the number with the greatest numerator is the greatest.

Basically if the bottom number of two fractions are the same, the bigger top number is the bigger number.

8 0

3 years ago

Read 2 more answers

write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.​

write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.