All categories

3 years ago

What number would you add to the equation below to complete the square?x^2 + 4x = 0

1 answer:

7 0

You should add 4.

You should always add the squareof the p value. The p value is equivalent to half of the b value, or two, since four divided by two is two.
Then square that, so two times two is four.

You might be interested in

X-18+ (24-3 )=72 just simplify for me to understand it well.

Nataliya [291]

Answer: x = 69

Step-by-step explanation:

X-18+ (24-3 )=72

solve the brackets

x-18 + 21 =72

cllect like terms

x = 72-21+18

x = 69.

kindly rate brainliest

5 0

3 years ago

Use trigonometric substitution to evaluate the integral 13 + 12x − x2 dx . First, write the expression under the radical in an a

SCORPION-xisa [38]

I don't see a square root sign anywhere, so I'll assume the integral is

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx$

First complete the square:

$13+12x-x^2=49-(6-x)^2=7^2-(6-x)^2$

Now in the integral, substitute

$6-x=7\sin t\implies\mathrm dx=-7\cos t\,\mathrm dt$

so that

$t=\sin^{-1}\left(\dfrac{6-x}7\right)$

Under this change of variables, we have

$7^2-(6-x)^2=7^2-7^2\sin^2t=7^2(1-\sin^2t)=7^2\cos^2t$

so that

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx=-7\int\sqrt{7^2\cos^2t}\,\cos t\,\mathrm dt=-49\int|\cos t|\cos t\,\mathrm dt$

Under the right conditions, namely that cos(<em>t</em>) > 0, we can further reduce the integrand to

$|\cos t|\cos t=\cos^2t=\dfrac{1+\cos(2t)}2$

$\displaystyle-49\int|\cos t|\cos t\,\mathrm dt=-\frac{49}2\int(1+\cos(2t))\,\mathrm dt=-\frac{49}2\left(t+\frac12\sin(2t)\right)+C$

Expand the sine term as

$\dfrac12\sin(2t)}=\sin t\cos t$

Then

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \sin t=\dfrac{6-x}7$

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \cos t=\sqrt{7^2-(6-x)^2}=\sqrt{13+12x-x^2}$

So the integral is

$\displaystyle-\frac{49}2\left(\sin^{-1}\left(\dfrac{6-x}7\right)+\dfrac{6-x}7\sqrt{13+12x-x^2}\right)+C$

3 0

3 years ago

Andrew plays on a basketball team. In two games he scored 2/5 of the total number of points his team scored. His team scored 55

Anastasy [175]

Andrew scored 36 points in two games

5 0

3 years ago

Read 2 more answers

Put the following equation in Slope-intercept form. y=mx+b is the form you are looking for.

Elenna [48]

Answer:

y= -2x+23

Step-by-step explanation:

Subtract 2x over

7 0

3 years ago

Write 420 as a product 9f prime numbers

stich3 [128]

Answer:

2, 2, 3, 5, 7 that is the farthest you can go

Step-by-step explanation:

2,2,3,5,7 prime factorization of 420 but impossible to get 9 factors

5 0

3 years ago