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3 years ago

Write an equation for the proportional relationship with the given constant of proportionality k. K=4

Mathematics

1 answer:

alekssr [168]3 years ago

6 0

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Solve the question: 3(.5y-6)=12

makvit [3.9K]

Answer:

y = 20.

Step-by-step explanation:

Distribute:

$3(0.5y)-3(6)=12$

$1.5y-18=12$

Add 18 to both sides:

$1.5y-18+18=12+18$

$1.5y=30$

Solve for y:

$\frac{1.5y}{1.5}=\frac{30}{1.5}$

$y=20$

6 0

3 years ago

WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY.

Lady_Fox [76]

Answer:

Always true because there are no other options that allow the equations to be true

Step-by-step explanation:

a+4=8

subtract 4

a=4

4-m=2

add m

4=2+m

subtract 2

2=m

3 0

3 years ago

What is y-1 =2(x +3) in standard form?

miv72 [106K]

Answer:

y-1=2(x+3)

y-1=2x+6

y=2x+6+1

y=2x+7

6 0

3 years ago

The height of a wooden pole, h, is equal to 15 feet. Ataut wire is stretched from a point on the ground to the top of the pole.

Taya2010 [7]

The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

Length of wire = 17 feet

Step-by-step explanation:

Given:

The height of the wooden pole is, $h=15\ ft$

The distance from the base of the pole to this point on the ground is, $b=8\ ft$

Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

$(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2$

Plug in the given values and solve for 'l'. This gives,

$l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17$

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

7 0

3 years ago

A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write

Alenkinab [10]

The line passes through two points that have the same x-coordinate.
It is a vertical line. To find the slope of a line, use any two points. Subtract the y-coordinates. Subtract the x-coordinates in the same order. Then divide the difference of the y-coordinates by the difference of the x-coordinates. Since in this case, the x-coordinates are both -6, the difference between the x-coordinates is zero. Division by zero is not defined, so the slope of this line is undefined. You can't write its equation in point-slope form, because there is no slope for this line.

3 0

3 years ago