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trapecia [35]
3 years ago
9

(8x 2 −15x)−(x 2 −27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squ

ared, minus, 27, x, right parenthesis, equals, a, x, squared, plus, b, x If the equation above is true for all values of xxx, what is the value of b-ab−ab, minus, a ?
Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer:

<h2>5</h2>

Step-by-step explanation:

Given the expression (8x² −15x)−(x² −27x) = ax² +bx, we are to determine the value of b-a. Before we determine the vwlue of b-a, we need to first calculate for the value of a and b from the given expression.

On expanding the left hand side of the expression we have;

= (8x² −15x)−(x² −27x)

Open the paranthesis

= 8x² −15x−x²+27x

collect the like terms

= 8x²−x²+27x −15x

=  7x²+12x

Comparing the resulting expression with ax²+bx

7x²+12x =  ax²+bx

7x² = ax²

a = 7

Also;

12x = bx

b =12

The value of b - a = 12 - 7

b -a = 5

Hence the value of b-a is equivalent to 5

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What’s the base of a triangle if the area is 180cm but the height is 20
Lena [83]

Answer:

the base is 18cm

Step-by-step explanation:

A=1/2*bh

180=1/2*(20)b

180=10b

b=18

You're welcome :)

6 0
3 years ago
Read 2 more answers
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
Evaluate g(x)=3x when x= -2,0,and 5 g(-2)=? g(0)=? g(5)=?
serious [3.7K]

Answer:

g(-2) = -6

g(0) = 0

g(5) = 15

Step-by-step explanation:

For each of the evaluations, you have to plug in the number everywhere where there is an x

6 0
3 years ago
What is the gif of nine and fifty two
Novosadov [1.4K]
I assume you mean 9+52,
If so you can add the 9 and the 2 together:
9+2 = 11

Then you can add the 11 on to the 50 to get the final answer:
50+11 = 61

Hope this helps! :)
4 0
3 years ago
Who invited math?? Please answer!!!!!
maksim [4K]

Answer:

Ancient Greeks

Beginning in the 6th century BC with the Pythagoreans, with Greek mathematics the Ancient Greeks began a systematic study of mathematics as a subject in its own right. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

Step-by-step explanation:

6 0
3 years ago
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