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2 years ago

X + 4y = 16 -X + 3y = -2

Mathematics

1 answer:

jeyben [28]2 years ago

7 0

Answer:

(8, 2 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 16 → (1)

- x + 3y = - 2 → (2)

Adding the 2 equations term by term will eliminate the x- term

0 + 7y = 14

7y = 14 ( divide both sides by 7 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

Substituting into (1)

x + 4(2) = 16

x + 8 = 16 ( subtract 8 from both sides )

x = 8

solution is (8, 2 )

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URGENT!!! Please answer ASAP with full working out thank you

Tema [17]

Step-by-step explanation:

$a) \\ \frac{a}{x - 1} - \frac{2}{x + 1} = \frac{4}{(x - 1)(x + 1)} \\ \\ \frac{a(x + 1) - 2(x - 1)}{(x - 1)(x + 1)} = \frac{4}{(x - 1)(x + 1)} \\ \\ a(x + 1) - 2x + 2 = 4 \\ \\ a(x + 1) = 4 + 2x - 2 \\ \\ a(x + 1) = 2x + 2 \\ \\ a (x + 1) = 2(x + 1) \\ \\ a= \frac{2(x + 1)}{(x + 1)} \\ \\ \huge \red{ \boxed{a = 2}}$

Solve b part yourself in the same way.

6 0

2 years ago

I need help. this is due in less than 10 min and i have no clue how to solve. any tips appreciated

babymother [125]

Answers:

a) x = 9
b) arc JK = 68
c) arc MJ = 112
d) arc LMK = 248

================================

Explanation:

Arcs JK and KL form a semicircle, so they add to 180 degrees

(arcJK) + (arcKL) = 180

(5x+23) + (17x-41) = 180

22x-18 = 180

22x = 180+18

22x = 198

x = 198/22

x = 9

Then you'll use this x value to find arc JK and arc KL

arc JK = 5x+23 = 5*9+23 = 68

arc KL = 17x - 41 = 17*9-41 = 112

Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees

Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)

arc LMK = (full circle) - (measure of minor arc LK)

arc LMK = 360 - 112

arc LMK = 248

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2 years ago

Tan(-212°) = _____. -cot 32° tan 32° cot 32° -tan 32°

Liula [17]

The correct answer is: -tan 32degrees

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2 years ago

How can I do this, can you explain me

Sergio039 [100]

Answer:

Step-by-step explanation:

Start with h(t) = -16t^2 + initial height, which here is h(t) = -16t^2 + 1296. Set this = to zero, which corresponds to the object hitting the ground (h = 0):

0 = -16t^2 + 1296. Dividing all terms by -16, we get t^2 = 81, whose positive square root is 9. It takes 9 seconds for the object to hit the ground.

3 0

2 years ago

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pshichka [43]

Answer:

$m=\frac{1}{2}$