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Vedmedyk [2.9K]

3 years ago

6

Solve the equation x2 − 100 = 0

2 answers:

Lapatulllka [165]3 years ago

8 0

5*2 = 100 - 100 = 0

x = 5

forsale [732]3 years ago

6 0

X^2 - 100 = 0.
X^2 = 100
X = 10
Answer is X = 10. Hope that helps!

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Solve for x: 5|2x − 2| + 8 = 18.

Nitella [24]

5|2x-2|+8=18
5|2x+2|=10
|2x+2|=2
by removing the absolute and but + or -
(2x+2) = 2 & (2x+2)=-2
so , x = 0 & x=-2
so it is the second answer

8 0

3 years ago

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.

MrRissso [65]

Answer:

2/5

Step-by-step explanation:

8 to 20 is 8/20=4/10=2/5

4 0

3 years ago

51 is 85% of what number?<br><br>A) 1.67<br>B) 51<br>C) 60<br>D) 43.35

givi [52]

(C) 60 is your answer

4 0

3 years ago

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Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of th

saul85 [17]

Answer:

The standard form of the ellipse is $\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$ .

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

$(h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)$ (1)

If we know that $V_{1} (x,y) = (4,0)$ and $V_{2}(x,y) = (4, 14)$ , then the coordinates of the center are, respectively:

$(h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)$

$(h,k) = (2,0) + (2, 7)$

$(h, k) = (4, 7)$

The length of each semiaxis is, respectively:

$a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}$

$a = 3$

$b = \sqrt{(4-4)^{2}+(0-7)^{2}}$

$b = 7$

The standard equation of the ellipse is described by the following formula:

$\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1$

Where:

$h$ , $k$ - Coordinates of the center of the ellipse.

$a$ , $b$ - Length of the orthogonal semiaxes.

If we know that $h = 4$ , $k = 7$ , $a = 3$ and $b = 7$ , then the standard form of the ellipse is:

$\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$

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3 years ago

The product of a number and-5 is-115

kodGreya [7K]

The answer to the question is 23

8 0

3 years ago

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