All categories

2 years ago

-5 x + 10 equals 55 what is X

Mathematics

2 answers:

Jobisdone [24]2 years ago

8 0

Answer:

Step-by-step explanation:

I think it’s x=-9

sladkih [1.3K]2 years ago

4 0

Answer:

$x=-9$

Step-by-step explanation:

$-5x+10=55$

Solve for x by isolating the variable. Subtract 10 from both sides:

$-5x+10-10=55-10\\\\-5x=45$

Divide both sides by -5:

$\frac{-5x}{-5}=\frac{45}{-5} \\\\x=-9$

:Done

You might be interested in

Calculus Problem

Roman55 [17]

The two parabolas intersect for

$8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2$

and so the base of each solid is the set

$B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}$

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, $|x^2-(8-x^2)| = 2|x^2-4|$ . But since -2 ≤ x ≤ 2, this reduces to $2(x^2-4)$ .

a. Square cross sections will contribute a volume of

$\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x$

where ∆x is the thickness of the section. Then the volume would be

$\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}$

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

$\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x$

We end up with the same integral as before except for the leading constant:

$\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx$

Using the result of part (a), the volume is

$\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}$

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

$\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x$

and using the result of part (a) again, the volume is

$\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}$

7 0

2 years ago

Two angles are supplementary if the sum of their measure is 180 degrees. If one of the two supplementary angles measures 85 degr

ale4655 [162]

Answer:

95 degrees.

Step-by-step explanation:

Their sum is 180. You will subtract 85 to get the other half of the whole.

180 - 85 = 95

The other angle is 95 degrees.

4 0

3 years ago

Using the vertical line test. Is this a function?

marta [7]

Answer:

Can't get one(Read explanation)

Step-by-step explanation:

What you do to find out if its a function is see if any of the dots are in the same x value. If they are, its not a function. If they aren't it is a function.

7 0

2 years ago

F(x) = x2 + 1 g(x) = 5 – x (f – g)(x) =

Blizzard [7]

Answer:

x^2+x-4

Step-by-step explanation:

(f-g)=(x^2+1)-(5-x)

=x^2+1-5+x

=x^2+x-4

4 0

3 years ago

Ameer biked 5 miles and then took a break. After the break,

PIT_PIT [208]

Answer:

C. You would be finding the total distance. You arent finding the rate because there is no division, and we dont know how long it took hime to ride the original 5. The answer is C.

3 0

2 years ago

-5 x + 10 equals 55 what is X ​

-5 x + 10 equals 55 what is X