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serg [7]
2 years ago
11

Which of the following is the equation in slope-intercept form for the line that passes through points (- 4, 1) and \ -3,0\; y =

- x + 5; y = - x - 3; y = x + 2 None of these choices are correct
Mathematics
1 answer:
Akimi4 [234]2 years ago
3 0

Answer:

there y= -x - 3 is correct

Step-by-step explanation:

(-4,1) ; (-3,0)

y= -x - 3

with (-4,1)

1 = -(-4) - 3 = 4 - 3 = 1. left = right

with (-3,0)

0 = -(-3) - 3 = 3 - 3 = 0. left = right

so the line y = -x - 3 is passes through points (-4,1) and (-3,0)

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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

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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

so

∠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

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4 0
3 years ago
Solve 2(a + 7) = 5a - 13
timurjin [86]

Answer:

a = 9

Step-by-step explanation:

2(a + 7) = 5a - 13

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First, expand the bracket by multiplying 2 with a + 7

2a + 14 = 5a - 13

Bring the -13 to the left by adding 13 to both sides

2a + 14 + 13 = 5a - 13 + 13

Simplify

2a + 27 = 5a

Bring the 2a to the right by subtracting 2a from both sides

2a - 2a + 27 = 5a - 2a

Simplify

27 = 5a - 2a

27 = 3a

Bring the 3 to the left by dividing both sides by 3

27÷3 = a

Simplify

a = 9

4 0
3 years ago
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