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vfiekz [6]
3 years ago
14

Find the third side in simplest radical form: V90 6

Mathematics
1 answer:
dimaraw [331]3 years ago
5 0

Answer:

Step-by-step explanation:

Use the Pythagorean theorem to find the length x of the third side.

x² + 6² = √90²

x² = 90-36 = 54

x = √54 = 3√6

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Factorise <br> a) 4p²-81<br> b) x²-13x+36
taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

7 0
3 years ago
Y = -1/2x + 2.5 (no answer options)
ruslelena [56]
I mean i don't know what to do but i made this graph online using https://www.mathpapa.com/algebra-calculator.html

8 0
3 years ago
Write a two-column <br> Give: <br><br> proof: x=45
AleksAgata [21]
Two lines that cross each other have each pair of angles the same.

2x+6=96 --> x=45
8 0
3 years ago
A six foot tall man casts a shadow that is 10 feet long. if a tree next to the man casts a 25 foot shadow. how tall is the tree?
OLga [1]

Answer: Im not completely sure but my best guess is 21. the tree is 21 feet tall

Step-by-step explanation:

4 0
3 years ago
the combined area of two squares is 45 square centimetres each side is twice as long as a side of the other square what length o
Ostrovityanka [42]

Answer:

Let the side of  one square be x.    Area = x*x = x²

Then the side of other square  would be 2x ,   Area = 2x*2x = 4x²

Combined area = x² + 4x²  = 5x²

This combined area = 45 cm²

you simplify

Therefore  5x²  = 45   Divide both sides by 5

                 x²  =  45/5

                 x²  = 9        Take square root of both sides

                 x   =  √9

                 x  = 3

Length of larger square is 2x  = 2*3 = 6 cm

Length of larger square = 6cm

Step-by-step explanation:

4 0
3 years ago
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