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3 years ago

(-8,-1) slope = -3/4

Mathematics

1 answer:

Alchen [17]3 years ago

8 0

Answer:

The slope of ( -1 , -8) and ( -1 , 8) is perpendicular to this line

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Gasoline prices for the first six months of 2004 are shown in the table below. Using a logarithmic model, what is the best

Molodets [167]

Answer:

A) $2.10

Step-by-step explanation:

I got it right on edge

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3 years ago

write the equation of the ellipse using the given information: the ellipse has foci (0,3) and (0,-3) and major vertices (0,5) an

svetlana [45]

Answer: (x^2)/16 + (y^2)/25 = 1

Step-by-step explanation:

According to the problem we can figure out that the center of the ellipse is (0,0).

Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.

If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2

We get b^2 is 16

Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.

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3 years ago

Solve the system of linear equations by adding or subtracting. Show all work!

Thepotemich [5.8K]

Answer:

x = -2, y = -2

Step-by-step explanation:

Your goal is to try and cancel out a variable. I want to get rid of y so i subtracted the first equation from the second one.

After that I solve for x and got x=-2.

I used x=-2 and plugged it back into either of the equation to solve for y.

4 0

3 years ago

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

$\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

$\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

On comparing both sides, we get

$\dfrac{4+a}{2}=\dfrac{-1}{2}$

$4+a=-1$

$a=-1-4$

$a=-5$

And,

$\dfrac{5+b}{2}=\dfrac{3}{2}$

$5+b=3$

$b=3-5$

$b=-2$

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0

3 years ago

If n represents a number, then write an expression for the difference of three times the number after it was increased by 3 and

faust18 [17]

• Increased by 3
n+3
• Twice the number
2(n+3)
• Three times the number
3n
• Final result
2(n+3)-3n

5 0

3 years ago