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Reil [10]
3 years ago
15

Complete the equivalent equation for -7x-60 =x^2 +10x

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

(x+12)(x+5)

Step-by-step explanation:

Formula use: a²+bx+c

  • Make one side equal to zero:

Original:

-7x-60 =x² +10x

New:

x² + 17x + 60

  • Multiply A with C

New:

(1)x x 60 = 60

  • Find factors of 60 that when added, equal to 17.

New:

10 × 6, 60 × 1, 20 × 3, <u>5 × 12</u>, 4 × 15

5 times 12 equal 60, but when added equal to 17.

  • Replace the 17 with 5 and 12

New:

x² + 5x + 12x + 60

  • Break them off into two equations

New:

x² + 5x  l  12x + 60

  • Divide each equation into it's simpilest form. Make sure the numbers in the ( ) are the same.

New:

x(x + 5)  l  +12(x+5)

  • Answer: (x+12)(x+5)

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A triangle has a side length of 19inches and a perimeter of 95inches. A similar triangle has a corresponding side length of 20in
Rom4ik [11]

Answer:

100 inches

Step-by-step explanation:

A triangle has a side length of 19inches and a perimeter of 95inches. A similar triangle has a corresponding side length of 20inches. Find the perimeter of the larger triangle.

This is calculated using proportion

Side length/Perimeter

Hence:

Side length of smaller triangle = 19 inches

Perimeter of smaller triangle = 95 inchee

Side length of larger triangle = 20 inches

Perimeter of larger triangle = x

19/95 = 20/x

Cross Multiply

19x = 95 × 20

x = 95 × 20/19

x = 100 inches

The perimeter of the larger triangle = 100 inches

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3 years ago
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This can be solved by finding their point of intersection on the graph, which is at point (1,3).
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Consider the two triangles. Triangles A B C and T R S are shown. Sides A C and T S are congruent. Sides T B and R S are congruen
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its c

Step-by-step explanation:

By the converse of the hinge theorem, mAngleS > mAngleC.

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Identify a number that results in a 4-digit-number when 156,350 is subtracted from it
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7 0
2 years ago
Can someone help me please and thanks .
enyata [817]

Answer:

<em>$180.</em>

Step-by-step explanation:

First lets find the <em>interest rate.</em>

<em>6.1 ÷ 100 = 0.061</em>

<em>0.061 x $200 = 12.2</em>

based on the calculations, <em>12.2</em> is our interest rate <em>in a year</em>.  Now lets find the interest rate in <em>15 years</em>.

<em>12.2 x 15 = $183 </em>

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