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Inga [223]
3 years ago
11

How would you go about solving for (3g - 25)(-5)?

Mathematics
1 answer:
Kay [80]3 years ago
3 0

Answer:

10t³ - 95t + 45

Step-by-step explanation:

  • Plug the g(t) and h(t) into the equation: (3(3t - 3) - 2(t³ - 5t)) (-5)
  • Distribute 3 & -2 through the prentheses : (9t - 9 2t³ + 10t) (-5)
  • Collect like terms : (19t - 9 - 2t³) (-5)
  • Distrubute -5 through the parentheses: -95t + 45 + 10t³
  • Use the commutative property to reorder the terms : 10t³ - 95t + 45

Solution : 10t³ - 95t + 45

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4 percent of 66
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7 0
3 years ago
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
2 years ago
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Valentin [98]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Answer:

variation constant = k = 8

equation of variation : y = 8x

Step-by-step explanation:

Any relationship of variation can be written as y = kx

where k is the variation constant.

_______________________________________

Let the equationof relation between y and x be y =kx here as well

given

y = 16 when x = 2

substituting this value in the equation y = kx

16 = k*2

=> k = 16/2 = 8

Thus,

variation constant = k = 8

equation of variation : y = 8x

5 0
3 years ago
What is 2.5% of 7.1
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The answer is going to be 0.1775
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