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3 years ago

Use the graphs of f and g to solve Exercises 87, 88, and 89.

Mathematics

1 answer:

Nadya [2.5K]3 years ago

4 0

Answers and explanations:

87. The domain of added functions includes the restrictions of both. So the range of the added function in this question is [-4, 3]

88. When finding the domain of a divided function we do the same as adding, but with an extra rule: g can't equal zero. So for this question the domain is (-4, 3)

89. To graph f + g you add the y-values for each x-value. I added a picture to help explain this one!

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Note that WXYZ has vertices W(-1, 2), X(-5, 7), y(-1, -2), and Z (3, -7).

svp [43]

a. Slope of WZ = -2.25; Slope of WX = 5

b. WZ = √97; WX = √41

c. WXYZ is not a <em>rectangle, rhombus, nor a square</em>. We can conclude that: <em>D. WXYZ is none of these</em>.

<h3>Slope of a Segment</h3>

Slope = change in y/change in x

Given:

W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)

a. Slope of WZ and slope of WX:

Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25

Slope of WX = (7 - 2)/(-1 -(-1)) = 5

b. Use distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , to find WZ and WX:

$WZ = \sqrt{(3 - (-1))^2 + (-7 - 2)^2}\\\\\mathbf{WZ = \sqrt{97} }$

$WX = \sqrt{(-5 -(-1))^2 + (7 - 2)^2}\\\\\mathbf{WX = \sqrt{41} }$

c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: <em>D. WXYZ is none of these</em>.

Learn more about slopes on:

brainly.com/question/3493733

5 0

3 years ago

Anyone knows the answer ?

yan [13]

Answer:

yes

Step-by-step explanation:

4 0

3 years ago

Determine whether abc ----> jgh is a reflection, translation, rotation, or glide reflection.

Usimov [2.4K]

From this picture you can calculate coordinates of triangles' vertices:
$A(-9,0),\ B(-6,-4),\ C(-3,0),\ J(8,0),\ G(5,4),\ H(2,0)$ .

Since

$\frac{-9+8}{2} = \frac{-6+5}{2}= \frac{-3+2}{2}=- \frac{1}{2}$ $\frac{0+0}{2}= \frac{-4+4}{2} = \frac{0+0}{2} =0$

you can conclude that points A, B, C are rotated by $180^0$ about the point (-0.5,0) to form points J, G, H, respectively.

Answer: A is correct choice.

3 0

3 years ago

-12 + 6x = 6 + 5(x - 2) <br><br> Please help and EXPLAIN

icang [17]

Answer: x=8

Step-by-step explanation:

Distribute 5(x) and 5(-2)

-12 + 6x = 6 + 5x + (-10) OR 5x - 10

Flip if you'd like

6x - 12 = 6 + 5x - 10

Combine like terms

6x−12=(5x)+(6+−10)

6x - 12 = 5x - 4

Subtract 5x from both 6 and 5

6x - 5x = 5x - 5x

5x cancels out, so you're left with x, 12, and -4

x - 12 = -4

Add 12 to 12 and -4

12 + 12 = -4 + 12

12 cancels out

-4 + 12 = 8

x = 8

7 0

2 years ago

`bar(JK)` is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image `bar(J'K')`. The s

dalvyx [7]

Answer:

Length of Bar JK=l

Bar (JK) is dilated by a scale factor of n, having origin as the center of dilation.

New line segment formed named bar (J'K').

As given slope of bar(JK) =m

When we dilate a line segment with respect to origin , having origin as the center of dilation, there is no effect of slope on Dilation.

Length of bar (J'K')= (Length of bar JK)×(Scale factor)

= l×n Or n×l

Option (D) is correct.

7 0

3 years ago

Read 2 more answers