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Andreyy89
3 years ago
5

Three points, P, Q, and R, lie on the same line such that Q lies between P and R. Find PR if PQ = 11 and QR = 13. Question 17 op

tions: A) 2 B) 13 C) 11 D) 24

Mathematics
1 answer:
Amanda [17]3 years ago
3 0
D) 24
you just need to add the two segments together

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Part A
Nat2105 [25]

Answer:

A.  f(n) =0.2n+4.8

B. The y intercept is 4.8

Step-by-step explanation:

Given

a_n= 5 + 0.2(n-1)

Solving (a): Write as a function.

To do this, we simply substitute f(n) for a_n

a_n= 5 + 0.2(n-1) becomes

f(n)= 5 + 0.2(n-1)

Open Bracket

f(n) = 5 + 0.2n-0.2

Collect Like Terms

f(n) =0.2n-0.2 + 5

f(n) =0.2n+4.8

B. The y intercept.

To get the y intercept, we set n to 0

i.e

f(0) =0.2 * 0+4.8

f(0) =0+4.8

f(0) =4.8

Hence, the y intercept is 4.8

4 0
2 years ago
1. What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?
fgiga [73]
Hello!

1.
find circumferece
c=2pir
c=2*6*pi=12pi
intercept is 5.4

2pi radians=all

part/whole=part/whole
5.4/12pi=x/2pi
times both sides by 12pi
5.4=6x
divide both sides by 6
0.9=x
answer is 0.9 radians



2. 
assuming 9pi/5 radians

find circumference
c=2pir
c=2*26.9*pi
c=53.8pi

arc/circumference=(9pi/5)/2pi

x/(53.8pi)=(9pi/5)/(2pi)
x/(53.8pi)=18/5
times both sides by 53.8pi
x=608.46266 m
about x=608.46 m


Hope this Helps! Have A Wonderful Day! :) 
5 0
3 years ago
Solve 2 (3d + 3) = 7 + 6d.
Leni [432]

First distribute in the 2 on the left side to get 6d+6=7+6d

Then, you would combine the variables to be on one side of the equation by doing -6d. However, this would cancel out the d by leaving you with 0d+6=7. That is the same thing as saying 6=7.

The answer to this equation is no solution because 6 is NOT equal to 7.

4 0
3 years ago
Read 2 more answers
Solve for x 6(x-1)=9(x+2)
tigry1 [53]
<span>Simplifying 6(x + -1) = 9(x + 2) Reorder the terms: 6(-1 + x) = 9(x + 2) (-1 * 6 + x * 6) = 9(x + 2) (-6 + 6x) = 9(x + 2) Reorder the terms: -6 + 6x = 9(2 + x) -6 + 6x = (2 * 9 + x * 9) -6 + 6x = (18 + 9x) Solving -6 + 6x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 6x + -9x = 18 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = 18 + 0 -6 + -3x = 18 Add '6' to each side of the equation. -6 + 6 + -3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 18 + 6 -3x = 18 + 6 Combine like terms: 18 + 6 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8</span>
8 0
3 years ago
Read 2 more answers
You work at an ice-cream shop. One of your jobs is to order new ice-cream cones. You pick the cone that is 5 inches high and has
Taya2010 [7]
We have that
the Volume of cone=(1/3)*B*h
B=the area of the base
h= the height of the cone
D=3.5 in-----------------> r=D/2=1.75 in
h=5 in
B=pi*r²---------> 3.14*1.75²=9.616 in²
V=(1/3)*9.616*5=48.08 in³--------> 48 in³

the answer is 48 in³
5 0
3 years ago
Read 2 more answers
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