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Alekssandra [29.7K]
3 years ago
8

Solve x^2+8x+10=3 by completing the square

Mathematics
2 answers:
Nikolay [14]3 years ago
7 0

Answer:

Use the formula

(b/2)^2

in order to create a new term. Solve for x

by using this term to complete the square.

x=−1,−7

tatiyna3 years ago
6 0

Answer:

x = -1 and x = -7

Step-by-step explanation:

Rewrite x^2+8x+10=3 as  x^2 + 8x +                            10=3

Now identify the coefficient of the x term.

It is 8.  Halve that, getting 4, and then square

this result, getting 16.  

Now add 16 and then subtract 16   in   x^2 + 8x +                       +    10=3, as

follows:                                                    x^2 + 8x +  16      - 16       +   10=3

Simplify this in two ways:  First, rewrite x^2 + 8x +  16 as (x + 4)^2, and

Combine -16 and 10:  -6

and rewrite the equation as                     (x + 4)^2  - 6 = 3

Now add 6 to both sides:                          (x + 4)^2       = 9

Take the square root of both sides:

                                                                    x + 4 = ±3

Then x = -4 + 3 and x = -4 -3,   or   x = -1 and x = -7

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To decompose a fraction to one whole, there are different methods to use. The fraction can be decomposed either by division, multiplication(if there are more than one fraction), or addition(if there are more than one fractions).

Example:

Given 8/2, decompose by division:

To do this, divide the numerator by denominator

\frac{8}{2}=4

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1 year ago
Three times theWhich equation represents, "three times the difference of a number and four is equal to 5"?
mezya [45]
3(x-4)=5


Take it in the order than it is transmitted 4 times the difference of a number which means to switch the order


Mark brainliest please
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3 years ago
The equation 4x - 8y =16 is converted from standard form to slope
shepuryov [24]

Your answer would be D. y= 1/2x-2.

The reason why this would be your answer because the slope intercept equation is y=mx+b.

To get 4x-8y=16 to slope intercept form, you first move the 4x to the other side of the equal sign, and that will turn it in -4x

You will be at -8y= -4x+16

The Y always has to be by itself, so you would divide everything by -8 (Fact: Y Can't be a negative).

You would end up with your answer y=1/2x-2.


4 0
3 years ago
. If (5, 7) and (-3, 0) lie on the line ax - by = -20.
Stels [109]

i) The coefficients of the equation of the line are a = 20 / 3 and b = 160 / 21.

ii) The equation of the line in <em>standard</em> form is (20 / 3) · x + (160 / 21) · y = - 20.

iii) The x-intercept and y-intercept of the line are (- 3, 0) and (0, - 21 / 8).

iv) Two alternative solutions of the equation of the line are 20 · x + (160 / 7) · y = - 60 and 140 · x + 160 = 420.

<h3>How to derive the equation of a line?</h3>

In this problem we know that form of an equation of the line and two points, on which the line pass through. i) We determine the values of the coefficients a and b by solving the following system of <em>linear</em> equations:

5 · a - 7 · b = - 20

- 3 · a = - 20

Whose solution is a = 20 / 3 and b = 160 / 21.

ii) The equation of the line in <em>standard</em> form is (20 / 3) · x + (160 / 21) · y = - 20.

iii) Now we find the coordinates of the intercepts of the line:

x-Intercept

(20 / 3) · x = - 20

x = - 3

y-Intercept

(160 / 21) · y = - 20

y = - 21 / 8

iv) We can find two alternative solutions by using multiples:

20 · x + (160 / 7) · y = - 60

140 · x + 160 = 420

To learn more on equations of the line: brainly.com/question/21511618

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2 years ago
Rotate shape A 180 degrees about a point (1,0)
krek1111 [17]

Answer:

(-1,0)

Step-by-step explanation:

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8 0
4 years ago
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