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AlladinOne [14]
3 years ago
8

What is the answer to number 5. Given BD=24 and PC=13, find PB

Mathematics
2 answers:
irakobra [83]3 years ago
7 0
The second one because of the points and it would need to be pc=13
Umnica [9.8K]3 years ago
5 0
Well first, we know BD which is equal to 24 is bisected by QC. Thus BC is 12 units long. Now that we know 2 sides of the triangle PBC, we can find the third missing side, PB, using the Pythagorean Theorem:

BC^2 + PB^2 = PC^2

12^2 + PB^2 = 13^2

144 + PB^2 = 169

PB^2 = 25

PB = 5
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3. The sum of x and y is 9. The value of y is two more than the value of x. Write a system of equations to model this.
hodyreva [135]

Answer:

x + y = 9

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Step-by-step explanation:

We need to write a system of equations to represent the given situation . The statements are ,

<u>Statement</u><u> </u><u>1</u><u>:</u><u>-</u><u> </u>The sum of x and y is 9.

Mathematically , we can write it as ,

\rm\implies x + y = 9

<u>Statement</u><u> </u><u>2</u><u>:</u><u>-</u> The value of y is two more than the value of x.

This simply means that y equals to 2 + x , that is

\rm\implies y = x+2

Therefore the system of equations will be ,

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  • y = x + 2

Also when we will try to solve the equations we will get ,

\rm\implies x + y = 9

Put y = x + 2 , we have ,

\rm\implies x + x + 2= 9

Add the like terms ,

\rm\implies 2x +2 = 9

Transpose 2 to RHS ,

\rm\implies 2x = 9 -2 = 7

Divide both sides by 2 ,

\rm\implies \boxed{\blue{\rm\quad x = 3.5\quad}}

Similarly we will get the value of as ,

\rm\implies 3.5 + y = 9

Transpose 3.5 to RHS ,

\rm\implies y = 9 - 3.5

\rm\implies \boxed{\blue{\rm\quad y = 5.5\quad}}

Therefore ,

\begin{cases} \rm x = 3.5 \\\\\rm y = 5.5 \end{cases}

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2:3:5 = X : 9 : Y<br><br> How much is X and how much is Y?
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Step-by-step explanation:

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