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3 years ago

Passes through (-7, -4) parallel to y=1/2x+9

Mathematics

1 answer:

Law Incorporation [45]3 years ago

3 0

Answer:

y = 1/2x -.5

Step-by-step explanation:

We know that is the line is parallel to the equation then the slopes are going to be the same we just have to find the a different y-intercept.

It's a simple as this just plug the points into the equation you have like this.

(-7,-4) (PLUG IN)

-4 = 1/2(-7) +b (I do plus be so we can get another y intercept)

-4 = -3.5 + b (add 3.5 on each side)

-.5 = b

the equation parallel to the first one is...

y = 1/2x -.5

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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

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

$c^{2}=481$

$c=21.9\ units$

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

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

2 years ago

Is the sequence below is arithmetic {1, 8, 27,64}

Rzqust [24]

Answer:

Step-by-step explanation:

No, because 8 - 1 ≠ 27 - 8. So, there is no common difference which is needed in order for the sequence to be arithmetic

6 0

3 years ago

Anyone up for the question, prize awaits you

Vikki [24]

Answer:

Step-by-step explanation:

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8 0

3 years ago

Which expression is equivalent to (4g3h2k4)3

RSB [31]

Answer:

d) $8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

$\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$ $= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

Step-by-step explanation:

Explanation

Given expression

= $\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

By using

(ab)ⁿ = aⁿbⁿ

$\frac{a^{m} }{a^{n} } = a^{m-n}$

= $\frac{(4)^{3} g^{9} h^{6}k^{12} ) }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

After simplification , we get

$= 8g^{9}g^{-3} h^{6} h^{-2} k^{12} - (h^{5} k^{3} )^{5}$

$= 8g^{9-3}h^{6-2} k^{12} - (h^{5} k^{3} )^{5}$

$= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

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2 years ago

Add the following values. (2.1 × 1016) + (3.2 × 1015)

qwelly [4]

Answer:

5381.6

Step-by-step explanation:

$(2.1 × 1016) + (3.2 × 1015)$

$= 5381.6$

8 0

2 years ago