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2 years ago

What is the linear equation of the horizontal line that passes through the point (–3, 4)?show your work

Mathematics

1 answer:

ziro4ka [17]2 years ago

3 0

if the ordered pair (x,y) is (-3, 4), then the othre ordered pair would (0,0)

Then, you find the slope(m).

So, m = y2 - y1

x2 - x1

if y2 is 4 and y1 is 0

x2 is -3 and y1 is 0

now you subtract to get -4

So, m= -4

Then, find the y-intercept

So, y=mx+b and substitute the ordered pair (0,0) into y= mx+b

y=mx+ b

0= -4(0) +b

0=0+b

-0 -0

b=0

So the equation is y= -4x

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The perimeter of a triangle is 300 m . If its sides are in the ratio 3:5:7. Find the area of the triangle.

nalin [4]

Answer:

If the perimeter = 300m

let the ratio be in x 

a/q. 

3x + 5x + 7x. = 300m

15x = 300

x = 300/15

x = 20

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3 years ago

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vodka [1.7K]

Answer:

C. 101 - 5(n - 1)

Step-by-step explanation:

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3 years ago

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The population in the trapezoid-shaped region shown is about 3000 people. How many people are there per square mile?

Anastasy [175]

Answer: $\frac{3,000}{A}$

Step-by-step explanation:

<h3> Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>

For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:

$A=\frac{h(B+b) }{2}$

Where "B" and "b" are the bases of the trapezoid and "h" is the height.

So, substituting values into the formula and evaluating, you can find the area of trapezoid-shaped region.

Since the population in the trapezoid-shaped region is about 3,000 people, you can find the number of people per square mile dividing the population by the area of the region.

Then, the following expression represents the number of people per square mile in that region:

$\frac{3,000}{A}$

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3 years ago

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Solve -9-8(1+4h)=-17

Mariulka [41]

-9-8(1+4h) = -17. We need to solve for h.
First, use the distributive property for 8(1+4h):
8(1+4h) = 8*1 + 8*4h = 8 + 32h

So -9-8(1+4h) = -17
-9 - (8+32h) = -17
-9 - 8 - 32h = -17
-17 - 32h = - 17
Add 17 on both sides to have the variables on a side and the numbers on the other:
-17 - 32h + 17 = -17 + 17
-32h = 0
divide both sides by -32 to get the variable h alone and its value on the other side:
(-32h)/-32 = 0/-32
h = 0.

So -9-8(1+4h) = -17 for h = 0.

You can recheck your answer (very important):
-9 - 8(1+4h) = -9 -8(1+4*0) = -9 - 8(1+0) = -9-8*1 = -9-8 = -17
The answer has been approved.

Hope this Helps! :)

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3 years ago

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Find the slope of the line through p and q. p(5, −9), q(−5, 6)

kykrilka [37]

Answer: slope = -1,5

Step-by-step explanation:

We can use slope formula to find the slope of a line that passes through two points (x₁ , y₁) and (x₂ , y₂)

m = ∆y/∆x = (y₂ - y₁)/(x₂ - x₁)

Given points are: p(x₁ , y₁) = (5 , −9) and q(x₂ , y₂) = (−5 , 6)

Substituting these two known points in the slope formula, we have:

m = (6-(-9))/(-5-5) = 15/-10 = -1,5

Therefore, the slope of this line = -1,5

Answer: slope = -1,5

<h2>Spymore</h2>

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3 years ago