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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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Are the two figures similar? #3
aliya0001 [1]

Answer:

True

Step-by-step explanation:

They are the same but different sizes.

4 0
3 years ago
A bookcase has a mass of 20 kilograms. A book in the bookcase has a mass of 500 grams.
dimaraw [331]

Answer:

Step-by-step explanation:

Remark

You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.

Conversion

20 kilograms = 20 * 1000 grams / kg

20 kilograms = 20000 grams

Formula

Number of books = mass of bookcase / mass of 1 book

Givens

number of books = ??

mass of bookcase = 20000 grams

mass of one book = 500 grams

Solution

number of books = 20000 / 500

number of books = 40

Answer: 40 books =  mass of bookcase

6 0
2 years ago
−5(p+3/5)=−4 solve for p
defon

Answer: p = 1/5

Step-by-step explanation:

-5(p + 3/5) = -4

Distribute

-5p - 3 = -4

Add 3 to both sides

-5p = -1

Divide by -5 on both sides

p = 1/5

3 0
3 years ago
Read 2 more answers
Solve the system of equations<br> 14x+y=−4<br> y=3x2−11x−4
wel

Answer:

(x,y)= (-2,24)

Step-by-step explanation:

4 0
3 years ago
So i need H E L P...<br> PLS help me
tensa zangetsu [6.8K]

Answer:

A 3

Step-by-step explanation:

Let n = the number

a number decreased by 12

n-12

This is equal to 3 times the opposite =

3 times the opposite

3*(-n)

-3n

Setting the two parts equal

n-12 = -3n

Subtract n from each side

n-n-12 = -3n-n

-12 = -4n

Divide by -4

-12/-4 = -4n/-4

3 =n

4 0
3 years ago
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