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3 years ago

Write the equation of the line that passes through the point(-6,12) and is parallel to the line y=8

Mathematics

1 answer:

Ugo [173]3 years ago

5 0

Answer:

y = 12

Step-by-step explanation:

y = 8 is the equation of a horizontal line, parallel to the x- axis.

Thus a parallel line will also be horizontal.

The equation of a horizontal line is

y = c

where c is the y- coordinates of the points it passes through.

The line passes through (- 6, 12) with y- coordinate of 12, thus

y = 12 ← equation of parallel line

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write the statement as an equation as an equation in two variables the y-value is -5 decreased by six times the x-value

Sergio [31]

For this case we have the following statement:

"the y-value is -5 decreased by six times the x-value"

We must write the equation in algebraic form.

We have then:

the y-value is: y =
-5: -5
decreased by: -
six times the x-value: 6x

Rewriting we have:

$y = -5-6x$

Answer:

the statement as an equation is:

$y = -5-6x$

3 0

3 years ago

A radio tower casts a shadow 8 feet long at the same time that a vertical yardstick casts a shadow half an inch long.How tall is

Lapatulllka [165]

The height of radio tower is 576 feet approximately

Solution:

Given that, radio tower casts a shadow 8 feet long

At the same time that a vertical yardstick casts a shadow half an inch long

To find: height of radio tower

Let "x" be the height of radio tower

length of shadow of tower = 8 feet

Length of shadow of stick = $\frac{1}{2} \text{ inch}$

Convert inch to feet

$1 \text{ inch } = \frac{1}{12} \text{ foot }$

$\frac{1}{2} \text{ inch } = \frac{1}{2} \times \frac{1}{12} \text{ foot } = 0.0416 \text{ foot }$

Thus,

Length of shadow of stick = 0.0416 feet

Length of vertical yard stick = 3 feet (since 1 yard = 3 feet )

Therefore, by proportion we get,

$\frac{\text{ height of radio tower }}{ \text{ length of shadow of tower }}=\frac{\text{ Length of vertical yard stick}}{\text{ Length of shadow of stick }}$

Substituting the values we get,

$\frac{x}{8} = \frac{3}{0.0416}\\\\x = 8 \times 72.11\\\\x = 576$

Thus height of radio tower is 576 feet approximately

6 0

3 years ago

Are q/3 and 1/3q equivalent?

Rashid [163]

Yeah.
q/3=1q/3 (any variable has an invisible 1 in front of it)
1q/3=1/3q

4 0

3 years ago

Plz help asap i have limited time i will give brainliest

Naddik [55]

Answer:

358

Step-by-step explanation:

In 1995, the boys were 50 %

Take the number of people at the convention in 1995 ( 716)

and multiply by 50%

716 * 50%

716 * .50

358

6 0

3 years ago

Read 2 more answers

Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now

Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

Solution:

Let the present age of Jane be "x"

Let the present age of her sister be "y"

Jane is 5 times older than her sister

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

In 3 years, Jane’s sister will be 1/4 her age

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

$3 + y = \frac{1}{4}(3 + x)$

Substitute eqn 1 in above equation

$3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9$

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0

4 years ago