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____ [38]
2 years ago
7

Solve the following: -5² + 10² (2 × (-5) × 3) + 3³ Give your answer in simplest form.

Mathematics
1 answer:
notsponge [240]2 years ago
5 0
Problem 1: -5^2 + 10^2
Work:
-5^2 + 10^2—> (-5 x -5) + (10 x 10) —> 25 + 100 = 125
Answer:
125

Problem 2: (2 x (-5) x 3) + 3^3
Work:
(2 x (-5) x 3) + 3^3 > (-25 x 3) + 3^3 —> -75 + 3^3 —> -75 + 27 —> 48
Answer:
48
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The measure of the vertex angle of an isoceles triangle is one- fourth that of a base angle
horsena [70]

Answer:

Base angle = 72

Vertex angle = 18

Step-by-step explanation:

Measure of the base angle = x. But there are two of them. (Definition of isosceles).  Keep that in mind.

The vertex angle is 1/4 of one of the base angles. That means that the vertex is 1/4 x

All three angles = 180 degrees.

So we have x + x + x/4 = 180 degrees.

change 1/4x to 0.25x x since 1/4 = 0.25

Equation

x + x + 0.25 = 180

2.5x  = 180

Solution

2.5x = 180                      Divide by 2.5 on both sides

2.5x/2.5 = 180/2.5

x = 72

Answer

That means that each base angle = 72 degrees

The Vertex Angle = 72/4 = 18

8 0
3 years ago
How are √25 and √-25 different in the terms of a solution for both? *
Tanya [424]

Answer:

For \sqrt{25} it will be plus or minus \sqrt{5}

For \sqrt{-25} it will be plus or minus \sqrt{5i}

Step-by-step explanation:

Well for \sqrt{-25} it will be 5i

Because i = -1  

6 0
3 years ago
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6 0
3 years ago
Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?
suter [353]
A reflection through the axis and is given by the following transformation rule:
 (x, y) -------> (-x, y)
 We have the following point:
 C = (5, 3)
 Applying the transformation rule we have:
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 Therefore, C' is given by:
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 Answer:
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6 0
3 years ago
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A cupcake recipe takes 3 cups of flour for every 2 dozen cupcakes. How many cups of flour does Sally need to make 96 cupcakes? U
Lilit [14]

Answer:

388

Step-by-step explanation:

96x3=

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3 years ago
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