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3 years ago

Which expression shows the result of applying distributive property to 12 (5y+4)

Mathematics

1 answer:

lina2011 [118]3 years ago

7 0

A(b+c)=ab+ac

12(5y+4)=12(5y)+12(4)=(12)(5)(y)+48=(60)(y)+48=60y+48

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I would like to know the right answer of this graph.

jeka94

Answer:

(6,-4)

Step-by-step explanation:

P(-2,2)

-2 - 4 = 6

2 - 6 = -4

4 0

3 years ago

A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

5 0

3 years ago

Country A, Country B, and Country C won a total of 130 medals. Country B won 10 more medals than Country C. Country A won 38 m

snow_lady [41]

Answer:

Country A = 84

Country B = 28

Country C = 18

Step-by-step explanation:

Country A, Country B, and Country C won a total of 130 medals;

A + B + C = 130 ......1

Country B won 10 more medals than Country C;

B = C + 10 .......2

Country A won 38 more medals than the total amount won by the other two;

A = B + C + 38 ........3

Substituting equation 3 to 1;

(B+C+38) + B+C = 130

2B + 2C + 38 = 130 .......4

Substituting equation 2 into 4;

2(C+10) + 2C + 38 = 130

4C + 58 = 130

4C = 130-58 = 72

C = 72/4 = 18

B = C + 10 = 18 + 10 = 28

A = B + C + 38 = 18 + 28 + 38 = 84

Country A = 84

Country B = 28

Country C = 18

8 0

3 years ago

Help me out here on this question pleaseee

SVEN [57.7K]

Answer: (0,0)

Step-by-step explanation:

X point of origin is zero

Y point of origin is zero

7 0

3 years ago

Read 2 more answers

The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be "Indian Red" one sixt

Vladimir79 [104]

Answer:

The fraction of tiles that will be the color of "sand" is 23/60

Step-by-step explanation:

we know that

The sum of the fractions of the tiles must be equal to 1

Let

x ----> the fraction of tiles that will be the color of "sand"

we have that

$\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1$

solve for x

Find the Least Common Multiple of denominators

$LCM=(2^2)((3)(5)=60$

Multiply both sides by 60

$\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60$

simplify

$15+10+12+60x=60$

$60x=60-37\\60x=23\\x=\frac{23}{60}$

therefore

The fraction of tiles that will be the color of "sand" is 23/60

5 0

3 years ago