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mash [69]
3 years ago
8

given line passes through the points (-4, -3) and( 4, 1) what is the equation in point slope form of the line that's perpendicul

ar to the given line and passes through the point (-4,3)
Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

y= -2x-5

Step-by-step explanation:

First find the gradient of the first line

m =  \frac{y2 - y1}{x2 - x1}

m=

\frac{1 -  - 3}{4 -  - 4}

m=

\frac{4}{8}

m=1/2

From this we can find the gradient of the perpendicular line, or the normal.

m1 × m2 = -1

Replace m1 with 1/2

1/2 × m2 = -1

m2= -2

Substitute values into

y-y1=m (x-x1)

y-3=-2 (x+4)

y-3=-2x -8

y=-2x-5

atroni [7]3 years ago
3 0

Answer:

y + 3= one- fourth (x +4

Step-by-step explanation:

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25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distanc
sineoko [7]

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = \frac{y_2-y_1}{x_2-x_1}

                                = \frac{960-480}{2-1}

                                = 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

8 0
3 years ago
25.7 is what percent of 141?
Lady_Fox [76]

Answer:

about 18.2%

Step-by-step explanation:

All you have to do is divide the result of the percent, so 25.7, by the total, 141.

So 25.7÷141=0.18226950354

We round it to 0.182 and multiply it by 100 to know the percent which is 18.2

7 0
3 years ago
Help and explain very easy hurry 10 points
stealth61 [152]

Answer:

\$18.97 per hour

Step-by-step explanation:

step 1

Find the total hours

(37 hours/week)*(52 week)=1,924 hours

step 2

Divide the annual salary by the total hours

\frac{36,500}{1,924}= 18.97\frac{\$}{h}

7 0
3 years ago
If $396 is invested at an interest rate of 13% per year and is compound continuously, how much will the investment be worth in 3
Sveta_85 [38]

Answer:

The investment at the end of the period will be $584.89.

Step-by-step explanation:

FV = PV e⁽ⁿˣ⁾

FV = Future Value = ?

PV = Present Value = $396

n = Interest Rate = 13%

x = time in years = 3

e = mathematical constant = 2.7183

FV = 396 x 2.7183⁽⁰°¹³ ˣ ³⁾

FV = 396 x 1.4770

FV = $584.89

7 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Gre4nikov [31]

Answer:

93° (to the nearest degree)

Step-by-step explanation:

sum of the interior angles of a triangle = 180°

Find angle C first, then subtract angle C and angle B from 180° to find angle A.

Use the sine rule \frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c} to find angle C:

Therefore,

              \frac{sinB}{b}=\frac{sinC}{c}

              \frac{sin38}{9}=\frac{sinC}{11}

         angle C = 48.80523914...°

Angle A = 180 - 38 - 48.80523914...°

              = 93.19476086..°

              = 93° (to the nearest degree)

7 0
2 years ago
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