All categories

2 years ago

Write the slope-intercept equation of the line passing through (-2,-5) with a slope of 0

1 answer:

5 0

We want to find the slope-intercept equation of the line passing through (-2,-5) with a slope of 0.

Note that since the slope is 0, the line will be horizontal, as there will be no change.

And since it passes through the point (-2,-5), the equation of the horizontal line must be y = -5. Since the line is horizontal, the x-coordinate is irrelevant.

In conclusion, our equation is y = -5.

You might be interested in

Is it possible to have a negative value for sin but a positive value for tangent

bonufazy [111]

Answer:

Yes

Step-by-step explanation:

Tan = sin / cos

If sin is negative, ans cos is negative, then tangent is positive.

Tan= (-)/(-) = (+)

7 0

3 years ago

Laura spent 78.5% of her paycheck on her mortgage payment. If her paycheck was $1562 how much was her mortgage?

torisob [31]

Answer:

$337.12

Step-by-step explanation:

Multiply $1562 by 78.5% (or 0.785) =1230.88

Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)

1562-1230.88=337.12

5 0

3 years ago

A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ (Approximated)

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ (Approximated)

5 0

2 years ago

Find the x-intercepts of the parabola with vertex (-3,-18) and y-intercept at (0,0)

statuscvo [17]

Y + 18 = a(x + 3)^2
0 + 18 = a(0 + 3)^2 
18 = 9a 
2 = a

y = 2(x + 3)^2 - 18 
0 = 2(x + 3)^2 - 18 
18 = 2(x + 3)^2 
9 = (x + 3)^2 
± 3 = x + 3 
-3 ± 3 = x 
x = 0 or -6

(0, 0) and (-6, 0)

5 0

3 years ago

Find the sum of the first 5 terms of the following geometric series. 512 - 256 + 128 +...

olga55 [171]

Answer:

352

Step-by-step explanation:

512 - 256 + 128 - 64 + 32 = 352

3 0

2 years ago