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2 years ago

Find the slope and the equation pleaseand step by step PLEASE.

Mathematics

1 answer:

Svetllana [295]2 years ago

5 0

Answer:

y = $\frac{-4}{5}$ x + 1

Step-by-step explanation:

Slope is rise over run, or the vertical progression over the horizontal progression.

Your example has a line that heads downwards, so we know that the slope is negative. If we count the squares, the "rise" is down by 4. We count the squares going horizontally and there are 5. So, your slope is $\frac{-4}{5}$ .

The other half of the equation is the y-intercept, or where the line crosses the y axis. It appears to be at (0 , 1), so we can say that your y-intercept is 1.

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3 years ago

For the rotation - 660°, find the coterminal angle from 0° < 0 < 360°, thequadrant and the reference angle.

guajiro [1.7K]

Given the angle:

-660°

Let's find the coterminal angle from 0≤θ≤360.

To find the coterminal angle, in the interval given, let's keep adding 360 degrees to the angle until we get the angle in the interval,

We have:

Coterminal angle = -660 + 360 = -300 + 360 = 60°

Therefore, the coterminal angle is 60°.

Since 60 degrees is between 0 to 90 degrees, is is quadrant I.

60 degrees lie in Quadrant I.

Also since it is in quadrant I, the reference angle is still 60 degrees.

ANSWER:

The coterminal angle is 60°, which lies in quadrant I, with a reference angle of 60°

3 0

1 year ago

Given: Triangle ABC, mmBC=24 cm, line segment AL- < bisector

Furkat [3]

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

But angle B = 2 Angle A

x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

0. 8660 = x/24

Cross multiply

x = 24 × 0. 8660

x = 20. 78cm

We have the angle of A in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

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6 0

2 years ago

Find a point d(x, y) such that the points a(−4, 1), b(3, 0), c(−1, −3), and d are the corners of a square.

Greeley [361]

- draw the points
- you will see thet AC has the same M as BD
- also AC = BD distance because it is a square
- calculate the M of AC
$\frac{1 - ( - 3)}{ - 4 - ( - 1)} = \frac{4}{ - 3} = - \frac{4}{3} = m$
- calculate AC distance
$\sqrt{ {(1 - ( - 3))}^{2} + {( - 4 - ( - 1))}^{2} } = \\ \sqrt{ {4}^{2} + {( - 3)}^{2} } = \\ \sqrt{25} = 5 = ac$
- lets say d is (x,y)
- now just make to equations with BD distance and M

5 0

3 years ago

WILL GIVE BRAINLIEST! BEING TIMED<br><br> PRE-CALC

ycow [4]

It’s 0

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5 0

3 years ago

Find the slope and the equation pleaseand step by step PLEASE.​

Find the slope and the equation pleaseand step by step PLEASE.