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3 years ago

Use the elimination method to solve the system of equations.Choose the correct ordered pair. x+y=8 x-y=6

Mathematics

2 answers:

Step2247 [10]3 years ago

7 0

Answer:

(7,1)

Step-by-step explanation:

x+y=8

x-y=6

Subtract the two equations from each other.

2y/2=2/2

y=1

Plug y into any equation.

x+1=8

Subtact 1 from 1 and the 8.

x=7

(7,1)

ratelena [41]3 years ago

3 0

Answer:

Solution (7,1)

Step-by-step explanation:

Use the elimination method

x + y=8

x - y=6

--------------Add

2x = 14

x = 7

Substitute x = 7 into x + y=8

7 + y=8

y = 8 - 7

y = 1

Solution (7,1)

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3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

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3 years ago

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Masja [62]

Answer:

Step-by-step explanation:

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3 years ago

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Reika [66]

Mlh diagnol … i think

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3 years ago

In the 1980s an average mortgage rate was around 18.5 how much less per month would a 150000 30 year mortgage by today if the cu

lianna [129]

Answer:

$1516.69 per month less

Step-by-step explanation:

The formula for the monthly payment A on a loan of principal P, annual rate r, for t years is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

For the 18.5% loan, the monthly payment is ...

A = 150000(.185/12)/(1 -(1 +.185/12)^(-12·30)) ≈ 2321.92

For the 5% loan, the monthly payment is ...

A = 150000(.05/12)/(1 -(1 +.05/12)^-360) ≈ 805.23

The mortgage at 5% would be $1516.69 less per month.

7 0

3 years ago