HELP ME ASAP PLEASE!!

Mathematics

1 answer:

slamgirl [31]3 years ago

5 0

Answer:

x=3

PR=10

Step-by-step explanation:

This is an isosceles triangle, indicated by the black markers on angles P and Q. This also means that sides PR and QR are equal.

That in mind, to solve for x set the two expressions equal to each other and solve for x.

3x+1=5x-5 (subtract 1 from the left side and 5 from the right. Do the same from both sides)

-2x = -6 (divide by -2)

X=3

To find the measurement for PR, simply plug in the value for x into the equation for PR

3(3) +1

9+1 =10

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If r(x)=3x-1 and s(x)=2x+1, which expression is equivalent to (r-s)(6)

daser333 [38]

Answer:

Step-by-step explanation:

Step 1: find (r- s) or r(x) - s(x)

r(x) - s(x) = 3x - 1 - (2x + 1)

r(x) - s(x) = 3x - 1 - 2x - 1 (distribute the -1 to 2x and 1)

r(x) - s(x) = x - 2 (combine like terms, 3x + (-2x) = x, -1 + (-1) = -2)

so r(x) - s(x) = x - 2, or (r - s)(x) = x - 2

Step 2: Plug in 6 to 'x' and find (r - s)(x)

(r - s)(6) = 6 - 2 = 4

5 0

3 years ago

Given a cone with a volume of 288 in and height 7 in find the base radius of the cone

nlexa [21]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
------\\
h=7\\
V=288
\end{cases}\implies 288=\cfrac{\pi \cdot r^2\cdot 7}{3}
\\\\\\
\cfrac{288\cdot 3}{7\pi }=r^2\implies \sqrt{\cfrac{288\cdot 3}{7\pi }}=r$