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Likurg_2 [28]
3 years ago
8

If QR= 3x-2, RS= 2x+1, QS=6x-3, and R is between Q and S, then RS=​

Mathematics
1 answer:
rewona [7]3 years ago
4 0

Answer:

RS = 5

Step-by-step explanation:

Since R is between Q and S , then

QS = QR + RS , that is

6x - 3 = 3x - 2 + 2x + 1

6x - 3 = 5x - 1 ( subtract 5x from both sides )

x - 3 = - 1 ( add 3 to both sides )

x = 2

Then

RS = 2x + 1 = 2(2) + 1 = 4 + 1 = 5

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The formula for the volume of a right circular cone, V, is given below, where r represents the radius of the base of the cone an
Mrrafil [7]

Answer:

r=\sqrt{\frac{3V}{(\pi h)}}

Step-by-step explanation:

we know that

The volume of a right circular cone is equal to

V=\frac{1}{3}\pi r^{2}h

where

r is the radius of the base of the cone

h is the height

Solve for r-----> That means, isolate the variable r

so

step 1

Multiply by 3 both sides

3V=\pi r^{2}h

step 2

Divide by (\pi h) both sides

\frac{3V}{(\pi h)}=r^{2}

step 3

take square root boot sides

r=\sqrt{\frac{3V}{(\pi h)}}

7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (8,-2) and has an undefined slope?
Aleksandr-060686 [28]

Answer:

x = 8

Step-by-step explanation:

A line with an undefined slope is a vertical line parallel to the y- axis, with equation

x = c ( c is the value of the x- coordinates the line passes through )

The line passes through (8, - 2) with x- coordinate 8 , thus

x = 8 ← equation of line

3 0
2 years ago
Determine the equation of the parabola shown in the diagram in factored form. (check picture below)
krok68 [10]

Answer:

(x+1)(x-3)

Step-by-step explanation:

A quadratic in factored form is usually expressed as: a(x\pm a)(x \pm b) where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: a(x+1)(x-3). Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)

I'll use the point (1, -4) the vertex

-4 = a(1+1)(1-3)

-4 = a(2)(-2)

-4 = -4a

1 = a. So yeah the value of a is 1

So the equation is just: (x+1)(x-3)

6 0
2 years ago
HELPP ASAP PLS<br> what is m<br> A) 120°<br> B) 75°<br> C) 80°<br> D) 85°
MariettaO [177]
The straight angle ;
60 + x = 180
So x = 120

Please give me a brainliest answer
8 0
2 years ago
Read 2 more answers
What is the area of rectangle ABCD?
kotegsom [21]

The area of a 2D form is the amount of space within its perimeter. The area of the rectangle is 12 units². Thus, the correct option is A.

<h3>What is an area?</h3>

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

As per the given information, the graph of the rectangle can be made as shown below. It can be observed from the graph that the length of the rectangle and width of the rectangle are 4 units and 3 units, respectively. Therefore, the area of the rectangle is,

Area = 4 units × 3 units = 12 units²

Hence, the area of the rectangle is 12 units². Thus, the correct option is A.

Learn more about the Area:

brainly.com/question/1631786

#SPj1

3 0
2 years ago
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