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2 years ago

What is the equation of the line that passes through the point (2,−4) and has a slope of 2?

Mathematics

1 answer:

vivado [14]2 years ago

3 0

Answer:

y = 2x - 8

Step-by-step explanation:

Since you have the slope of the line and point that the line passes through, you can use "point-slope form", hence the name.

Point-slope form is: $y-y_1=m(x-x_1)$

Substitute the slope (2) into m, and substitute the x-value of the point into $x_1$ and the the y-value of the point into $y_1$ .

$y-(-4)=2(x-(2))$

Simplify this equation.

$y+4=2(x-2)$

Distribute 2 inside the parentheses.

$y+4=2x-4$

Subtract 4 from both sides.

$y=2x-8$ is the final answer.

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Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Nonamiya [84]

Answer:

Step-by-step explanation:

Pythagorean Theorem:

25^2=24^2+x

625=576+x^2

49=x^2

x=sqrt49

x=7

Hope this helps!

Merry Christmas!

8 0

2 years ago

Read 2 more answers

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?

Phantasy [73]

Answer:

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Step-by-step explanation:

Given : $\cos (180^{\circ}-q)=-\cos q$

We have to write which identity we will use to prove the given statement.

Consider $\cos (180^{\circ}-q)=-\cos q$

Take left hand side of given expression $\cos (180^{\circ}-q)$

We know

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Comparing , we get, a= 180° and b = q

Substitute , we get,

$\cos (180^{\circ}-q)=\cos 180^{\circ} \cos (q)+\sin q \sin 180^{\circ}$

Also, we know $\sin 180^{\circ}=0$ and $\cos 180^{\circ}=-1$

Substitute, we get,

$\cos (180^{\circ}-q)=-1\cdot \cos (q)+\sin q \cdot 0$

Simplify , we get,

$\cos (180^{\circ}-q)=-\cos (q)$

Hence, use difference identity to prove the given result.

7 0

3 years ago

Read 2 more answers

A cockatoo costs $159.95. A cockatiel costs $48.85. What is the difference in price?

k0ka [10]

Answer:

111.1

use subtraction

8 0

2 years ago

Read 2 more answers

X= -1/5; f(x) = (25/2)x + (-91/2) =

Diano4ka-milaya [45]

Answer:

Write the problem as a mathematical expression.

X=−1/5; f(x)=(25/2)x+(−91/2)

Replace the variable x with x=−1/5 in the expression.

f(−1/5)=(25/2)(−1/5)−91/2

Simplify the result.

−48

Step-by-step explanation:

4 0

2 years ago

Please help me with this question

jek_recluse [69]

A is the correct answer

E is 90 degrees

ABE is 52 so EBD is 64
$(180 - 52) \div 2 = 128 \div 2 = 64$

so D is 26:
$180 - (90 + 64) = 180 - 154 \\ = 126$

good luck

3 0

2 years ago