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andrew-mc [135]
3 years ago
10

Calculate the exact length of PA. Express your answer in simple radical form.

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Step-by-step explanation:

I apologise for the quality.

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Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than their brother David. If the sum of their a
ale4655 [162]
K\ \rightarrow\ the\ Karen's\ age\\M\ \rightarrow\ the\ Michelles\ age \\D\ \rightarrow\ the\ David's\ age\\\\K=M+6\\M=D-2\ \ \ \Rightarrow\ \ \ D=M+2\\K+M+D=62\\\\(M+6)+M+(M+2)=62\\3M+8=62\\3M=54\ /:3\\M=18\ \ \ \Rightarrow\ \ \ K=18+6=24\ \ \ and\ \ \ D=18+2=20\\\\Ans.\ Michelle\ is\ 18,\ David\ is\ 20,\ Karen\ is\ 24.
6 0
3 years ago
PLEASE HELP!!! I know it’s a lot of questions but I’m just trying to get this done, but I can’t because I’m clueless. I tried gr
artcher [175]

Answer:

a) The graph shifted to the left by 3 units and up 1 unit.

b) Domain = x ∈ R    Range = y ∈ R

(Domain (x) = All real numbers     Range (y) = All real numbers)

c) (-4, 0)

d) (0, 2.442)

~Hope this helps! If you have any questions, please let me know!~

6 0
3 years ago
What is the line slope of (10,5) and (1,9)
sveta [45]
Use the slope formula
y2-y1
m=---------
x2-x1
(rise-->y over run-->x)
so it would be
9-5
m=-------
1-10
and that would simplify to
4
----
-9
and that would be your slope.

Hope that helped :-)
7 0
3 years ago
Read 2 more answers
Please help Factor completely. Show your work (as much work as possible, including a ​list of factors if
Elena-2011 [213]

Answer:

Step-by-step explanation:

4) x² - 14x + 48

We would find two numbers such that their sum or difference is -14x and their product is 48x².

The two numbers are - 6x and - 8x. Therefore,

x² - 6x - 8x + 48

x(x - 6) - 8(x - 6)

(x - 8)(x - 6)

5) 2x² + 21x - 11

We would find two numbers such that their sum or difference is 21x and their product is - 22x².

The two numbers are 22x and - x. Therefore,

2x² + 22x - x - 11

2x(x + 11) - 1(x + 11)

(2x - 1)(x + 11)

6) 5a² - 125

5 is a common factor. So we would factorize 5. It becomes

5(a² - 25)

Simplifying further, it becomes

5(a + 5)(a - 5)

5 0
3 years ago
If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?
MaRussiya [10]

Answer:

the figure could be a rhombus because the 2 lines of symmetry bisect the angles

Step-by-step explanation:

7 0
3 years ago
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