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Ilia_Sergeevich [38]
3 years ago
13

Find the value if r so that the line passes through each pair of points has the given slope. (PLEASE HELP!)

Mathematics
1 answer:
Andru [333]3 years ago
3 0
The\ slope-point\ form:y-y_1=m(x-x_1)\\-----------------------------\\6A:\\m=-5;\\(-2;\ 6)\to x_1=-2;\ y_1=6\\\\y-6=-5[x-(-2)]\\y-6=-5(x+2)\\y-6=-5x-5(2)\\y-6=-5x-10\ \ \ |add\ 6\ to\ both\ sides\\\boxed{y=-5x-4}\\\\put\ the\ coordinates\ of\ the\ point\ (r;-4)\to x=r\ and\ y=-4:\\-4=-5r-4\ \ \ |add\ 4\ to\ both\ sides\\0=-5r\\-5r=0\ \ \ \ |divide\ both\ sides\ by\ (-5)\\\boxed{r=0}\leftarrow answer



6B.\\
The\ same\ method:\\y-(-8)=-8(x-5)\\y+8=-8(x)-8(-5)\\y+8=-8x+40\ \ \ \ |subtract\ 8 from\ both\ sides\\\boxed{y=-8x+32}\\\\(r;-6)\to x=r;\ y=-6\\\\-6=-8(r)+32\\-6=-8r+32\ \ \ \ |subrtact\ 32\ from\ both\ sides\\-38=-8r\\8r=38\ \ \ \ \ |divide\ both\ sides\ by\ 8\\\boxed{r=4.75}
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8 0
3 years ago
Identify the intercepts of the circle (x-5)^2+(y+12)^2=169
Allisa [31]

Step-by-step explanation:

The x-intercept is the point where the graph touches the x-axis, which means y=0. So let's set y=0 in your equation, and we receive

(x-5)^2 + (0+12)^ = 169

which means

(x-5)^2 = 25

Solve this, and get x=10 or x=0.

This means the x-intercepts are (10,0) and (0,0).

Try doing the same for y.

3 0
3 years ago
Read 2 more answers
Solve each equation write each equation in simplest form 7x/8=21
AveGali [126]
7x / 8 = 21
7x = 8*21
x = 24
8 0
3 years ago
Please help me due today
Keith_Richards [23]

Answer:

To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x

remember the acronym soh cah toa.

to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa

setting it up looks like this

tan 72° = \frac{x}{8\\}

solving for x gives us x= 8×tan 72°

which is about 24.62

Step-by-step explanation:

4 0
3 years ago
Please help me with this. Thank you!
Rufina [12.5K]

Answer:

1- 51.496yd 2- 39.25ft 3- 163.28cm 4- 53.38mm 5- 50.24in 6-94.2ft 7-18.84yd 8- 207.24m

Step-by-step explanation:

So how you do circumference is you find the diameter and times it by pi.

for 1. you will do 8.2 times 2 for the diameter then times it by pi and get 51.496 yards.

for 2 you would do 12.5 times pi and get 39.25ft

for 3 you would do 26 times 2 which is 52 then multiply it by pi which is 163.28cm

for 4 you do 17 times pi which is 53.38mm

for 5 you do 16 times pi which is 50.24in

for 6 you do 30 times pi which is 94.2ft

for 7 you do 3 times 2 which is 6 then multiply by pi which is 18.84yd

for 8 you do 33 times 2 which is 66 then multiply by pi which is 207.24m.

6 0
3 years ago
Read 2 more answers
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