All categories

3 years ago

Find the slope of the line that passes through (14, -26) and (15, 14).

Mathematics

1 answer:

tatuchka [14]3 years ago

5 0

Answer:

Slope is 40

Full equation: y=40x-586

Step-by-step explanation:

Slope is y2-y1/x2-x1

14 is x1

-26 is y1

15 is x2

14 is y2

14-(-26)/15-14

So the slope is 40

To find the equation

y=40x+b

14=15(40)+b

14=600+b

b=-586

Equation:

y=40x-586

You might be interested in

cos theta = 4/5, 0˚< theta < 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta

NikAS [45]

First calculate $\sin\theta$ .

$\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}$

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

$\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\
\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}$

5 0

3 years ago

Read 2 more answers

Can someone please give an example of an open equation

Ivanshal [37]

an open equation is an equation where there is one or more variable for example x+5=12

4 0

3 years ago

Read 2 more answers

Which equation describes the circle having center point (3,7) and radius r = 4

Mnenie [13.5K]

Step-by-step explanation below

7 0

2 years ago

Can someone please help me

Dennis_Churaev [7]

Okay, so I had to resort to the calculator since I couldn't figure out how to do it, anyway here.

(-0.08928571428) -this is the answer according to it id says take a few numbers and see what answer fits it the most but yeah, I didn't help much.

3 0

2 years ago

X squared - 5 + - 24

katovenus [111]

X² - 5 + -24

x² - 5 - 24

x² + (-5 - 24)

x² + 29

hope this helps, God bless!

4 0

3 years ago