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Bogdan [553]
3 years ago
13

Molly is writing a paper for her history class. To complete her paper, Molly must spend 2 hours on research and 1 hour writing e

ach page. She writes the expression p + 2 where p equals the number of pages . Use the expression to evaluate the number of hours needed for 10 pages and evaluate the number of hours needed for 19 pages . Please help
Mathematics
1 answer:
Fudgin [204]3 years ago
8 0
9 hour if you add and muilpy it 


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3. Is XY Tangent to circle Z?<br> Y<br> 12 X<br> (20<br> Z<br> 18
Ratling [72]

Answer:

XY is a tangent

Step-by-step explanation:

Given

XY = 12

WY = 20

WZ = 8

Required

Is XY a tangent?

XY is a tangent if:

WY^2 = XY^2 + WX^2

Because XY should make a right angle at point X with the circle

Where

WX = 2 * WZ

So, we have:

WY^2 = XY^2 + WX^2

WY^2 = XY^2 + (2*WZ)^2

WY^2 = XY^2 + (2WZ)^2

WY^2 = XY^2 + 4WZ^2

This gives:

20^2 = 12^2 + 4*8^2

400 = 144 + 256

400 = 400

<em>Yes, XY is a tangent</em>

4 0
3 years ago
Please answer this question now
lidiya [134]

Answer:

C = (2,2)

Step-by-step explanation:

B = (10 ; 2)

M = (6 ; 2)

C = (x ; y )

|___________|___________|

B (10;2)            M (6;2)             C ( x; y)

So:

dBM = dMC

√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]

(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2

0 + (-4)^2 = (y-2)^2 + (x - 6)^2

16 = (y-2)^2 + (x - 6)^2

16 - (x - 6)^2 = (y-2)^2

Also:

2*dBM = dBC

2*√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 10)^2]

4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2

4*(16) = (y-2)^2 + (x - 10)^2

64 = (y-2)^2 + (x - 10)^2

64 = 16 - (x - 6)^2 + (x - 10)^2

48 = (x - 10)^2 - (x - 6)^2

48 = x^2 - 20*x + 100 - x^2 + 12*x - 36

48 = - 20*x + 100 + 12*x - 36

8*x = 16

x = 2

Thus:

16 - (x - 6)^2 = (y-2)^2

16 - (2 - 6)^2 = (y-2)^2

16 - (-4)^2 = (y-2)^2

16 - 16 = (y-2)^2

0 =  (y-2)^2

0 = y - 2

2 = y

⇒ C = (2,2)

4 0
3 years ago
How would you write apples grow on trees in conditional statements?
MariettaO [177]
If it is an apple, then it grows on trees.
4 0
3 years ago
Boatesville is 65 3/5 kilometers from Stanton. A bus traveling from Stanton is 24 1/3 kilometers from Boatesville. Write an equa
Elena L [17]
Distance the bus has traveled :

65 \dfrac{3}{5}  -  24\dfrac{1}{3}

= 65 \dfrac{3 \times 3 }{5 \times 3}  -  24\dfrac{1 \times 5}{3 \times 5}

= 65 \dfrac{9 }{15}  -  24\dfrac{5}{15}

= 41 \dfrac{4 }{15}  \text { km}

--------------------------------------------------------------------------------------------------
\text {Answer : The bus has traveled }41 \frac{4}{5} \text { km}
--------------------------------------------------------------------------------------------------
8 0
3 years ago
Here are 7 numbers.
SIZIF [17.4K]

Answer:

3.06

I hope this helps you :)

4 0
3 years ago
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