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Mariulka [41]
2 years ago
6

Factor completely −5x2 + 10x − 25.

Mathematics
1 answer:
garri49 [273]2 years ago
3 0
5(2x-7)

Hope this helps !

Have a great day!
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What is the distance between the points (-1,4) and (7,4)?
user100 [1]

Answer:

8

Step-by-step explanation:

=(7−(−1))2+(4−4)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(8)2+(0)2‾‾‾‾‾‾‾‾‾‾√

=64+0‾‾‾‾‾‾√

=6‾√4

=8

8 0
3 years ago
A line that includes the point (-4, 7) has a slope of 6. What is its equation in point-slope
aalyn [17]
Point slope formula: y-y1=m(x-x1). Answer: y-7=6(x-(-4))
7 0
3 years ago
What is the area of a triangle with a base of 50 feet and a height of 75 feet’
inysia [295]

Answer:

The correct answer is,

the area of given triangle = 1875 square feet

Step-by-step explanation:

Formula:

Area of triangle = bh/2

b - Base and h - height

It is given that,a triangle with a base of 50 feet and a height of 75 feet’

<u>To find the area of triangle</u>

base b = 50 feet and height h = 75 feet

Area = bh/2 = (50 x 75 )/2

Area = 3750/2 = 1875 square feet

Therefore the area of given triangle = 1875 square feet

8 0
3 years ago
Read 2 more answers
#9 - The Question
melamori03 [73]

Answer:

  12

Step-by-step explanation:

There are many ways to approach this problem. I like a method that uses the least amount of computation. We could figure how much Wendy makes on a bag of chips, the additional amount Wendy wants to make, then divide the latter by the former to find the number of additional bags to sell.

We could use a proportion to figure the number of bags corresponding to $126 in earnings, then subtract the 72 bags already sold. Essentially, we will do this, but without the intermediate numbers.

__

The additional fraction of 72 bags will be ...

   (126/108) -1 = 18/108 = 1/6

Then Wendy must sell an additional ...

  (1/6)×(72 bags) = 12 bags

to increase her earnings to $126.

7 0
2 years ago
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
erastova [34]

The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:

1) Translation (x, y) → (x + 8, y + 2)

2) Reflection across the x-axis (x, y) → (x, -y)

So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.

<h3>What are the transformation rules?</h3>

The transformation rules are:

  • Reflection across x-axis: (x, y) → (x, -y)
  • Reflection across y-axis: (x, y) → (-x, y)
  • Translation: (x, y) → (x + a, y + b)
  • Dilation: (x, y) → (kx, ky)

<h3>Calculation:</h3>

The pentagons in the graph have vertices as

For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)

For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)

Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".

Applying the Translation rule for the pentagon ABCDE:

The rule is (x, y) → (x + a, y + b)

So, the variation is

-4 + a = 4

⇒ a = 4 + 4 = 8

5 + b = 7

⇒ b = 7 - 5 = 2

So, the pentagon ABCDE is translated by (x + 8, y + 2).

Applying the Reflection rule for the translated pentagon:

The translated pentagon has vertices (x + 8, y + 2).

When applying the reflection across the x-axis,

(x + 8, y + 2) → {(x + 8), -(y + 2)}

Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}

Verification:

A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"

B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"

C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"

D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"

E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"

Learn more about transformation rules here:

brainly.com/question/4289712

#SPJ1

5 0
1 year ago
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