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xxMikexx [17]
3 years ago
8

Solve using linear combination 5x+2y=10 3x+2y=6

Mathematics
1 answer:
defon3 years ago
8 0

Answer:

x=2, y=0

Step-by-step explanation:

2y=6-3x

5x+(6-3x)=10

2x+6=10

2x+4

x=2

Now plug in x to find y

5(2)+2y=10

10+2y=10

y=0

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Explain why the triangles are similar. Then find the value of x.
djyliett [7]
Answer: Choice A) AA postulate; 18

---------------------------------------------------------------------------------------

Work Shown:

The triangles are similar to each other due to the AA (angle angle) postulate. The top angles are overlapping or shared angles. So that's the first pair. The second pair of angles is either bottom pair of angles, from the fact that corresponding angles are congruent. This is only true if the lines are parallel.

Due to the similar triangles, we can set up the proportion and solve for x
8/(8+4) = 12/x
8/12 = 12/x
8*x = 12*12 ... cross multiply
8x = 144
x = 144/8
x = 18

8 0
3 years ago
Hepl me what is the answer to this math question
Luda [366]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
19.
ziro4ka [17]

Answer:

B. y= -3x2 + 3

Step-by-step explanation:

y= -3^2+3

4 0
3 years ago
Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and
Gre4nikov [31]

Answer:

Ratio = 0.74

Step-by-step explanation:

Represent

- Andy with A

- Christopher with C

A = 3.5L

C = 2580mL

Required

Determine the ratio of C to A

Ratio is represented as thus:

Ratio = C:A

Rewrite as fraction

Ratio = \frac{C}{A}

This gives

Ratio = \frac{2580mL}{3.5L}

Convert L to mL

Ratio = \frac{2580mL}{3.5*1000mL}

Ratio = \frac{2580mL}{3500mL}

Ratio = \frac{2580}{3500}

Ratio = 0.73714285714

Ratio = 0.74 --- Approximated

6 0
3 years ago
If alpha and beta are the zeroes of the polynomial f(x)= xsquare -8x +gamma such that alpha - beta = 2 find the value of gamma.
Komok [63]

Answer:

Γ = 15

Step-by-step explanation:

Given

f(x) = x² - 8x + Γ

with a = 1, b = - 8 and c = Γ , then

sum of zeros α + β = - \frac{b}{a} = - \frac{-8}{1} = 8

product of zeros = αβ = \frac{c}{a} = Γ

Given α - β = 2 , then

(α - β)² = 2²

α² - 2αβ + β² = 4 → (1)

and

(α + β)² = 8²

α² + 2αβ + β² = 64 → (2)

Add (1) and (2) term by term

2α² + 2β² = 68 ( divide through by 2 )

α² +β² = 34

Substitute α² + β² = 34 into (1)

34 - 2αβ = 4 ( subtract 34 from both sides )

- 2αβ = - 30 ( divide both sides by - 2 )

αβ = 15

Now

αβ = Γ = 15

Thus

f(x) = x² - 8x + 15

4 0
3 years ago
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