All categories

2 years ago

Write an equation passing through (-6,5) that is parallel to y=1/2x-7

Mathematics

1 answer:

charle [14.2K]2 years ago

4 0

Answer:

y = 1/2x + 8

Step-by-step explanation:

a parallel equation needs to have the same slope as the given equation (1/2)

what we have so far is

y = 1/2x + b

since we know this has to pass through (-6, 5)

we’ll plug in -6 for x and 5 for y to find b

5 = 1/2(-6) + b

5 = -6/2 + b

5 = -3 + b

8 = b

so web. we plug b back into the equation

the final solution is

y = 1/2x + 8

You might be interested in

You need to write an essay that has at least 500 words. You have written 285 words so far. Write and solve an inequality that re

BabaBlast [244]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

$w+285\geq 500$

Solve for w

Subtract 285 both sides

$w\geq 500-285\\w\geq 215$

The minimum number of words left to write is 215

4 0

3 years ago

Which of the following inequalities is correct?

Mariana [72]

Is the answer -5 > 0?

7 0

3 years ago

There are five houses on Philips Road that each use, on average, between 1.61 units and 1.74 units of electricity for 1 to 3 hou

Karo-lina-s [1.5K]

Answer:

C is the correct answer is yes

Step-by-step explanation:

I'm doing this assignment and I got it correct!

3 0

3 years ago

The ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56. How many tons of wood wouod the fac

Goshia [24]

Answer:

2 Tons Wood

Step-by-step explanation:

According To Question,

Given,the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56 or 2 : 7 .

And, Factory were to use 7 tons of raw materials .

Thus, if 56 ⇒⇒ 7Tons of Raw Material

So,

16⇒⇒2 Tons of Wood Material .

7 0

3 years ago

A regular hexagon with side length 4 has the same area as a square. What is the length of the square?

svetlana [45]

Answer: The length of the square is $6.44$

Step-by-step explanation:

By definition, the area of a Regular polygon can be calculated with the following formula:

$A=\frac{s^2n}{4tan(\frac{180}{n})}$

Where "s" the length of any side of the polygon and "n" is the number of sides .

According to the information given in the exercise, you know that:

$s=4$

Since an hexagon has six sides, you know that:

$n=6$

Therefore, its area is:

$A_h=\frac{(4^2)(6)}{4tan(\frac{180}{6})}\\\\A_h=24\sqrt{3}$

The formula to find the area of a square is:

$A=s^2$

Where "s" is the length of any side of the square.

Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".

Then you get:

$24\sqrt{3}=s^2\\\\\sqrt{24\sqrt{3}}=s\\\\s=6.44$

7 0

3 years ago