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3 years ago

Find the inverse of the relation. Use proper notation. {(8,−1),(−8,−1),(−2,−8),(2,8)} please help!!

Mathematics

1 answer:

tiny-mole [99]3 years ago

6 0

Answer: The inverse relation is { (-1, -8), (-1, -8), (-8, -2), (8, 2) }

The inverse is effectively the opposite of the original relation. It undoes what the original relation does. So we'll swap the x and y values for each given point in the form (x,y). Something like (8,-1) becomes (-1,8). The other points follow the same pattern as well.

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Please help me ASAP

stellarik [79]

Answer:

The Graph is shown below

Step-by-step explanation:

The Graph of a Function

Given the function:

$\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2$

It's required to plot the graph of g(x). Let's give x some values:

x={-2,0,2,4,6}

And calculate the values of y:

$\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24$

Point (-2,-24)

$\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6$

Point (0,-6)

$\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0$

Point (2,0)

$\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6$

Point (4,-6)

$\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24$

Point (6,-24)

The graph is shown in the image below

8 0

3 years ago

Identify the segment bisector of XY.

Ganezh [65]

Given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

Segment bisector of XY = line n
Length of XY = 6

Recall:

A line that divides a segment into two equal parts is referred to as segment bisector.

In the diagram attached below, line n divides XY into XM and MY.

Thus, the segment bisector of XY is: line n.

Find the value of x:

XM = MY (congruent segments)

Substitute

$5x + 8 = 9x + 12$

Collect like terms and solve for x

$5x + 8 = 9x + 12\\5x - 9x = -8 + 12\\\\-4x = 4\\\\x = -1$

XY = XM + MY

$XY = 5x + 8 + 9x + 12$

Plug in the value of x

$XY = 5(-1) + 8 + 9(-1) + 12\\\\XY = -5 + 8 -9 + 12\\\\\mathbf{XY = 6}$

Therefore, given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

Segment bisector of XY = line n
Length of XY = 6

Learn more here:

brainly.com/question/19497953

3 0

2 years ago

Can someone help me with this?

disa [49]

Alright, the answer is B and I’ll tell you why. Look at the problem and see the order that they write the triangles in. ABC and XYZ, this is telling us that the angles in order are congruent to each other. Hope this helps :)

7 0

3 years ago

A company pays a bonus to four employees A, B, C, and D. A gets four times as much as B. B gets 50% of the amount paid to C. C a

Tomtit [17]

Answer:

A = 800, B = 200, C = 400 Andy D = 400

Step-by-step explanation: