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3 years ago

What is the degree measure of SRP? Please show work!

Mathematics

1 answer:

torisob [31]3 years ago

8 0

well, we have a missing point of R, but since is part of one of the tangent lines, we can safely assume is the point where the PR of 5 inches is at.

what is the angle at point R? namely the ∡SRP, well, SR is a tangent, RP is a radius line, they both touch/intersect at point R, thus R is the point of tangency for those two, and the point of tangency is always a 90° angle.

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9. Find the coordinates of point C along line segment AE with A(-2,-4) and

Nana76 [90]

Answer:

$C = (4,-1)$

Step-by-step explanation:

Given

$A = (-2,-4)$

$E = (8,1)$

$AC:CE = 3:2$

Required

Determine the coordinates of C

This is calculated as follows;

$C = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Where:

$(x_1,y_1) = (-2,-4)$

$(x_2,y_2) = (8,1)$

$m:n = 3:2$

So, we have:

$C = (\frac{3 * 8 + 2 * -2}{3+2},\frac{3 * 1 + 2 * -4}{3+2})$

$C = (\frac{24 -4}{5},\frac{3-8}{5})$

$C = (\frac{20}{5},\frac{-5}{5})$

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3 0

3 years ago

Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

$3y = 9x - 6$

$2y + 6x = 4$

Required

The words that describe the equations

Make y the subject in (2)

$2y + 6x = 4$

Collect like terms

$2y = 4 - 6x$

Divide through by 2

$y = 2 - 3x$

Substitute: $y = 2 - 3x$ in (1)

$3y = 9x - 6$

$3(2 - 3x) = 9x - 6$

$6 - 9x = 9x - 6$

Collect like terms

$9x+9x = 6+6$

$18x = 12$

Solve for x

$x = \frac{12}{18}$

Simplify

$x = \frac{2}{3}$

Substitute $x = \frac{2}{3}$ in $y = 2 - 3x$

$y = 2 - 3*\frac{2}{3}$

$y = 2 - 2$

$y =0$

So, we have:

$x = \frac{2}{3}$ and $y =0$

The system is consistent because it has at least 1 solution

The system is dependent because it has more than 1 solution

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3 years ago

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valentina_108 [34]

Answer:

I think is $5.00

Step-by-step explanation:

i dont know if i did the math right??>

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3 years ago

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algol13

Divide the equation by six to get:

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Answer:

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3 years ago