3 years ago

Complete the square x^2+100+■

Mathematics

1 answer:

____ [38]3 years ago

7 0

X= 102 • + (75) there you go

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I only need help on number 9. Find the value of Y.

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6y+40=10y-32
8=4y
Y=2

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Solve the following system. x2 + y 2= 25 2x + y = 10 The solution set

anzhelika [568]

Answer: {(5,0), (3,4)}

Step-by-step explanation:

You can apply the Substitution method:

- Solve for y from the second equation.

- Substitute into the first equation and solve for x.

Then:

$y=10-2x$

$x^2+y^2=25\\x^2+(10-2x)^2=25\\$

(Remember that: $(a\±b)^2=a^2\±2ab+b^2$ )

$x^2+(10^2-2(10)(2x)+(2x)^2)=25\\x^2+100-40x+4x^2=25\\5x^2-40x+75=0\\x^2-8x+15=0\\(x-5)(x-3)=0\\\\x=5\\x=3$

Substitute the values obtained into one of the original equation and solve for y:

$2(5)+y=10\\10+y=10\\y=0\\\\2(3)+y=10\\6+y=10\\y=4$

The solution set is: {(5,0), (3,4)}

8 0

3 years ago

A package of balloons contains 5 green, 3 yellow, 4 red, and 8 pink balloons. Suppose you reach in the package and choose one ba

Marianna [84]

Probability of choosing pink balloon is $\frac{2}{5}$ .

Step-by-step explanation:

Given,

Number of green balloons = 5

Number of yellow balloons = 3

Number of red balloons = 4

Number of pink balloons = 8

Total number of balloons = 5+3+4+8 = 20

To find the probability of pink balloon.

Formula

Probability of an even = number of outcomes ÷ total number of outcomes

So,

Probability of choosing pink balloon = $\frac{8}{20}$ = $\frac{2}{5}$

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3 years ago

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Solve 25- (6-) A. -31 B-20 C.20 D. 31

ElenaW [278]

Answer:

The answer is 31

Explanation:

25 - (-6) = 31

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3 years ago

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