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3 years ago

What number must you add to complete the square? x^2+10x=15

Mathematics

1 answer:

weqwewe [10]3 years ago

6 0

Answer:

$(x+5)^2=40$

Step-by-step explanation:

The number to be added is the square of half of the linear term coefficient. Such coefficient in our case is "10" (the number accompanying the variable x). Then, half of it is 10/2 = 5, and that number squared gives 25.

Therefore, the number to add on bothsides of the equality is 25, which leads to the following:

$x^2+10x+25=15+25\\x^2+10x+25=40\\x^2+5x+5x+25=40\\x(x+5)+5(x+5)=40\\\\(x+5)^2=40$

This matches answer B) of your choices.

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The first week of January, there are

faltersainse [42]

Answer: 35 dogs

Step-by-step explanation:

Ratio of dogs to cats in first week of January

= 49 : 28

Ratio of dogs to cats in last week of January

= ? : 20

Let the unknown number of dogs for last week be Z

Thus, 49/28 = Z/20

To get the value of Z, cross multiply

49 x 20 = 28 x Z

980 = 28Z

Divide both sides by 28

980Z/28 = 28/28

Z = 35

Thus, there were 35 dogs in the animal shelter during the last week

4 0

3 years ago

one day in January the high temperature was -3.6 degrees and the low temperature was -22.3 degrees what was the difference betwe

Alisiya [41]

Answer:

(-3.6) - (-22.3) = -3.6 + 22.3 = 18.7

3 0

3 years ago

Choose Yes or No to tell if the number 35 will make each equation true.

Vladimir79 [104]

The monthly earning of two employees are determined by the number of products they sell in that month, plus a fixed amount.
Employee X:

Each month, this employee earns $245 per product sold plus $1,600.

Employee Y:

E = 270p + 1,750, where E is the monthly earnings and p is the number of products sold.

(How much does each employee earn if they do not sell any products that month?

Employee X earns $[?]

Employee Y earns $[?]

4 0

2 years ago

I NEED HELP, I'VE BEEN STUCK ON THIS...Find the volume of this triangular prism. Enter only the numerical part of your answer in

deff fn [24]

Answer:

[see below]

Step-by-step explanation:

Volume of a triangular prism is: $V=\frac{1}{2}bhl$

We are given the base of 5, the length of 12, and the height of 8. All measurements are in meters.

$V=\frac{1}{2}(5*12*8)\\\\V=\frac{1}{2}(480)\\\\V=240$

The volume of the prism should be 240 square meters.

4 0

3 years ago

Read 2 more answers

If C is the line segment from 7 3 to 0 0 find the value of the line integral C 4y2i xj dr

saul85 [17]

Parameterize $C$ by

$\mathbf r(t)=(x(t),y(t))=(1-t)(7,3)+t(0,0)=(7-7t,3-3t)$

where $0\le t\le1$ . Then

$\mathrm d\mathbf r=(-7\,\mathbf i-3\,\mathbf j)\,\mathrm dt$

and the line integral is equivalent to

$\displaystyle\int_C(4y^2\,\mathbf i+x\,\mathbf j)\cdot\mathrm d\mathbf r=\int_0^1(4(3-3t)^2\,\mathbf i+(7-7t)\,\mathbf j)\cdot(-7\,\mathbf i-3\,\mathbf j)\,\mathrm dt$
$\displaystyle=\int_0^1(-252t^2+525t-273)\,\mathrm dt=-\dfrac{189}2$

7 0

3 years ago