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3 years ago

13

Complete the square to the problem X^2+6x-16=0

1 answer:

marishachu [46]3 years ago

3 0

Answer:

<h2>x = -8 or x = 2</h2>

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}$

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A factory can make 3 x 104 t-shirts in one day.How many t-shirts will it make in 2.5 x 102 days?

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7.5 × 10 ^6

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3 years ago

In the last election, 3/8 of the voters in Afton voted for the incumbent mayor. if 424 people voted in Afton the last election,

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3 years ago

What is the midpoint of the line segment with endpoints of (-2,-2) and (4,6)?

slamgirl [31]

Answer:

option (d) is correct.

The mid points of the line segment whose ends points are (-2,-2) and (4,6) is (1,2)

Step-by-step explanation:

Given: end points of a line segment as (-2,-2) and (4,6)

We have to find the mid points of the line segment whose ends points are given.

Mid point formula is stated as ,

For a line having end points as $\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right)$ , the mid point can be calculated as,

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

Here,

$\left(x_1,\:y_1\right)=\left(-2,\:-2\right),\:\left(x_2,\:y_2\right)=\left(4,\:6\right)$

Substitute in mid point formula, we get,

$=\left(\frac{4-2}{2},\:\frac{6-2}{2}\right)$

Solving further , we get,

$=\left(1,\:2\right)$

Thus, the mid points of the line segment whose ends points are (-2,-2) and (4,6) is (1,2)

Thus, option (d) is correct.

6 0

3 years ago

Read 2 more answers

5 and 6 why they keep giving me this lol

Advocard [28]

Answer:

5. The answer is 2

6. Her error is that she was supposed to subtract 16 minus 12 instead of 12 minus 2.

Step-by-step explanation:

For number 5 all I did was solve.

12 + (25 - 5^2) - 2 =

12 + 0 - 2 =

12 - 2 = 10

10 ÷ 5 = 2

So, for number 5 the answer is 2.

For number 6, you should know that when there are only plus and minus signs you solve from left to right.

She instead put parentheses where there shouldn't of been, and because of that she is wrong.

Hope this helps! :)

5 0

3 years ago

Pls help i’ll mark you brainliest

k0ka [10]

Answer:

90°

Step-by-step explanation:

please mark brainliest :))

7 0

3 years ago

Read 2 more answers