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Alik [6]
3 years ago
9

Complete the equation: x^2 + 10x + _ = (_)^2

Mathematics
1 answer:
Korolek [52]3 years ago
6 0

Answer:

(x + 5)²

Step-by-step explanation:

Given

x² + 10x

To complete the square

add ( half the coefficient of the x- term )² to x² + 10x

x² + 2(5)x + 25

Then

x² + 10x + 25 = (x + 5)²

You might be interested in
Kevin earned $80. Out of his earnings, he spent $68/5 on shopping, $51/2 on food, and $22/5 for taxi. Find the remaining amount.
Assoli18 [71]

The amount remaining out the money earned is $37.5

<h3>Sum of values and proportion</h3>

Given the following parameters

Amount earned by kevin = $80

If he spent $68/5 on shopping, $51/2 on food, and $22/5 for taxi, the total money spent is given as;

Total money spent = 51/2 + 68/5 + 22/5

Total money spent = 51/2 + 90/5

Total money spent = 25.5 + 18

Total money spent = 43.5

Amount remaining = 80. - 43.5

Amount remaining = 37.5

Hence the amount remaining out the money earned is $37.5

Learn more on difference here: brainly.com/question/148825

#SPJ1

3 0
2 years ago
Just need to solve number 8 with quadratic formula
choli [55]
ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}

2x^2=8x-7\ \ \ \ |-8x\\\\2x^2-8x=-7\ \ \ |+7\\\\2x^2-8x+7=0\\\\a=2;\ b=-8;\ c=7\\\\b^2-4ac=(-8)^2-4\cdot2\cdot7=64-56=8\\\\\sqrt{b^2-4ac}=\sqrt8=\sqrt{4\cdot2}=2\sqrt2
x_1=\dfrac{-(-8)-2\sqrt2}{2\cdot2}=\dfrac{4-\sqrt2}{2}\\\\x_2=\dfrac{-(-8)+2\sqrt2}{2\cdot2}=\dfrac{4+\sqrt2}{2}

7 0
3 years ago
6. 1 point Mark only one oval. Not biased Bias 7. 2 points Mark only one oval. 26 oz 27 oz 28 oz A town has 15,000 registered vo
ValentinkaMS [17]

Answer:

About 7,500 registered voters are expected to vote for the new dog park.

Step-by-step explanation:

- A town has 15,000 registered voters.

- A random sample of 200 voters shows that 100 voters are in favour of a new dog park.

How many registered voters are likely to vote for the dog park?

The laws of probability allows us to extrapolate and use the proportion of randomly sampled registered voters that vote for a new dog park to calculate the actual number of registered voters that will vote for a new dog park.

Proportion of randomly sampled registered voters that voted for a new dog park

= (100/200) = 0.50

Proportion of overall registered voters that will vote for a new dog park will also be 0.50.

Number of likely registers voters that'll vote for a new dog park = 0.50 × 15,000 = 7,500

Hope this Helps!!!

4 0
3 years ago
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
lana66690 [7]

Answer:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 180        y = 180 - x

.60x + .85y = .75(180)

.60x + .85y = 135      Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 13500

60x + 85(180 - x) = 13500

60x + 15300 - 85x = 13500

-25x = -1800

x = 72ounces

y = 180 - 72

y = 108 ounces          

Step-by-step explanation:

Wyzant (ask an expert) solution on their website.

3 0
3 years ago
What is the equation of<br>line parallel to y = 3x - 5<br>and through the point 12,-1)​
iogann1982 [59]

Answer:

y = 3x -37

Step-by-step explanation:

since parallel, slope is the same. plug in 12 for x and figure out the y-intercept.

3(12) - ? = -1

? = 37

4 0
3 years ago
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