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2 years ago

Find the equation of the line that is perpendicular to y=5 through the point (-4,-6)

Mathematics

1 answer:

Nikolay [14]2 years ago

4 0

Answer:

$x=-4$

Step-by-step explanation:

we know that

The given equation y=5 is a horizontal line (is parallel to the x-axis)

The slope of the given line is equal to zero

A perpendicular line to the given line is a vertical line (parallel to the y-axis)

The equation of a vertical line is equal to the x-coordinate of the point that passes through it

The point that passes through it is (-4,-6)

therefore

The equation of the perpendicular line is

$x=-4$

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When jeremy gets his allowance he agrees to save part of it his savings and expenses are in the ratio of 7:5 if his daily allowa

nignag [31]

He saves $ 1.75 each day from his allowance.

<u><em>Explanation</em></u>

The ratio of his savings and expenses is 7 : 5

Lets assume, his savings = 7x dollar and his expenses is 5x dollar

Given that, his daily allowance is $3. So....

$7x+5x=3\\ \\ 12x=3\\ \\ x=\frac{3}{12}= \frac{1}{4}= 0.25$

So, the amount of his savings each day $=7x= (7*0.25)dollar= 1.75 dollar$

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2 years ago

11. Write the equation in slope intercept form that has a slope of -23 and passes through the point (-1, 2).

insens350 [35]

11. y = -23x - 21

You can get this by starting with y = mx + b (slope intercept form). Then put in all the knowns and solve for the b.

2 = -23(-1) + b
2 = 23 + b
-21 = b

Then add that to the end of the equation with m = -23

12. -5

The y-intercept of an equation is always the number added on at the end of an equation. It is also the number with no x attached to it.

13. 8x^9y^6

When you use the law of exponents, you need to make sure the exponent goes to each individual term. When we cube the 2, it becomes 8. When you cube x^3, you get x^3*x^3*x^3 or x^9. And with y^2 you get y^6

7 0

2 years ago

If 10x+2=7 what us 2x

Yakvenalex [24]

2x=1

10x+2=7
subtract 2 from both sides
10x=5
divide 10 on both sides
x=1/2, 0.5, or 5/10

Use 1/2 to solve '2x'
2*(1/2)=1

6 0

2 years ago

The measures of two angles are 4x and (2x+12). what is the measurement of each angle if x=13?

oksano4ka [1.4K]

Answer:

52 and 38

Step-by-step explanation:

If x = 13 then 4x = 4 * 13 so 52.

Same for the next one. 2x = 2 * 13 so 26. 26+12 is 38.

Done...

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2 years ago

Marla filled up her car's gas tank and then went on a trip. After she drove 329 miles, she filled her tank with 14 gallons of ga

romanna [79]

Answer:

23 1/2 miles per gallon

Step-by-step explanation:

We start with dividing 329 miles with 14 gallons because it asks to find the number of miles on each gallon of gas -

Miles

----------------------------- =

Each gallon of gas

329 ÷ 14 = 23 1/2 miles per gallon

6 0

2 years ago