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nadezda [96]
3 years ago
13

Find the solutions to the equation below. check all that apply

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

A and E

Step-by-step explanation:

Given

20x² - 26x + 8 = 0 ( divide through by 2 )

10x² - 13x + 4 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 10 × 4 = 40 and sum = - 13

The factors are - 5 and - 8

Use these factors to split the x- term

10x² - 5x - 8x + 4 = 0 ( factor the first/second and third/fourth terms )

5x(2x - 1) - 4(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(5x - 4) = 0

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2} → E

5x - 4 = 0 ⇒ 5x = 4 ⇒ x = \frac{4}{5} → A

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HELP
Brut [27]

Answer:

1) m<1 = 25

2) m<4 = 155

3) m< 5 = 25

4) m<7 = 25

5) 110

6) 30.5

7) 74

Step-by-step explanation:

1)

x + 155 = 180

x = 25

2)

<4 = 155 because of vertical angle thm

3)

<5 = 25 (congruent to <1) b/c of corresponding angles thm

4)

<7 = <5 (25) because of vertical angles thm

5)

5x + 15 = 8x - 42

-3x = -57

x = 19

5(x) + 15

5(19) + 15 = 110

6)

180 - 110 = 70

3x + x + 4 + 70 = 180

4x + 74 = 180

4x = 106

x = 26.5

x+ 4 = 30.5

7)

180 - 115 = 65

x + 4 + 2x + 65 = 180

3x + 69 = 180

3x = 111

x = 37

2x = 74

4 0
3 years ago
Use figure ABCD draw a line segment from point B to D. Name and classify the triangles formed
TEA [102]
The two triangles formed will be ADB and BCD

Hope this helps :)
8 0
3 years ago
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Sauron [17]
X=12

(10(12)-20) = 120-20 = 100

(6(12)+8) = 72+8=80

100+80 = 180
4 0
3 years ago
What is the LCM of 56 and 504?
tatuchka [14]
The LCM is 2x2x2x7 factorized
6 0
3 years ago
Read 2 more answers
Round Ed to the nearthest tenth and answer now question
Vikki [24]

Answer:

y = 9.1

Step-by-step explanation:

y can be found using the Law of sines as explained below:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Thus,

\frac{x}{sin(X)} = \frac{y}{sin(Y)}

\frac{8}{sin(58)} = \frac{y}{sin(106)}

\frac{8}{0.848} = \frac{y}{0.961}

Multiply both sides by 0.961 to solve for y

\frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961

\frac{8*0.961}{0.848} = y

\frac{8*0.961}{0.848}*0.961 = y

9.07 = y

y = 9.1 (to the nearest tenth)

7 0
3 years ago
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