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nadezda [96]
3 years ago
7

Using the method of completing the square to solve the quadratic equation ::

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

{x}^{2}  - 20x + 24 = 0 \\ ( {x}^{2}  + 2 \times 10 \times x  +  {10}^{2})  -  {10}^{2} + 64 = 0 \\  {(x - 10)}^{2}  - 100 + 64 = 0 \\  {( x - 10)}^{2}  - 36 = 0 \\    {(x - 10)}^{2}  = 36 \\ (x - 10) =  \pm 6 \\ x = 10 \pm 6 \\  x = 10 + 6 \:  \: or \:  \: x = 10 - 6 \\   x = 16 \:  \: or \:  \: x = 4

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I'm confused on how to solve a right triangle given only one side measurement and one interior angle.
SVEN [57.7K]

Answer:

You use trigonometry.

Step-by-step explanation:

You can use soh cah toa. Basically you pic one side and if the interior angle is opposite or next to it, you you soh, or cah, or toa, it's based on where the angle is.

8 0
3 years ago
It says write an equation of the line shown and the line goes through points 4,3 and 1,-3
RUDIKE [14]
Slope of the line;
slope=\frac{change in y}{change in x}
Slope=\frac{3--3}{4-1}
Slope,m =\frac{6}{3} =2
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Replacing for x and y using point (4,3)
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4 0
3 years ago
Bad Investment After Mrs. Fisher lost 9% of her investment, she had $22,750. What was Mrs. Fisher's original investment?​
stira [4]

Answer:

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Step-by-step explanation:

Given that,

The lost percentage = 9%

Amount she had = $22,750

We need to find Mrs. Fisher's original investment.

As she had lost 9%, it means she will remain with 91% of her investment. Let the original investment is x.

So,

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So, her original investment is equal to $25000.

7 0
3 years ago
What is the property describe of the number sentence 6+0 equals 6
erma4kov [3.2K]
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3 years ago
Determine whether the lines are parallel or perpendicular or neither. 2x=y−10 and y=−2x
MrRa [10]

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2x - y = -10, subtract 2x from both sides.

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Divide both sides by negative one.

y = 10 + 2x

To find the slope when the equations are in slope-intercept form you look at the coefficient of x. The first equation has the slope of 2 (which we just found), and the second equation has the slope of -2.

Parallel lines have the same slope and perpendicular lines have opposite reciprocal slopes. Since 2 and -2 are neither of these, your answer is neither.

7 0
3 years ago
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