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vazorg [7]
2 years ago
9

Factor completely 4а^2 - 8а - 5

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
5 0

Answer:

(2a + 1)(2a - 5)

Step-by-step explanation:

Given

4a² - 8a - 5

Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the a- term

product = 4 × - 5 = - 20 and sum = - 8

The factors are + 2 and - 10

Use these factors to split the a- term

4a² + 2a - 10a - 5 ( factor the first/second and third/fourth terms )

= 2a(2a + 1) - 5(2a + 1) ← factor out (2a + 1) from each term

= (2a + 1)(2a - 5)

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A triangle has sides of lengths 13, 21, and 24. is it a right triangle? explain
mel-nik [20]
<span>No, it doesn't. To find out if it's a right angled triangle, we use Pythagorean triple. It states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the opposite and adjacent sides. Obviously, the longest side, which is our hypotenuse is 24. So we want to find out whether the square of our hypotenuse is equal to the sum of the squares of the other two sides i. e 13 and 21. 24^ 2 = 576 ; 13^2 = 169 ; 21^2 = 441; So is 576 = 169 + 441. An emphatic No: hence the triangle isn't right angled since it doesn't satisfy pythagorean triple.. A^2 is not equal to B^2 + C^2 where a is the hypotenuse and b and c the opposite and adjacent sides.</span>
8 0
2 years ago
Complete the square for the expression, then factor the trinomial.
Nuetrik [128]

Answer:

Completing the square we get: (x-2)^2-(2)^2

and factoring the term we get: x(x-4)

Step-by-step explanation:

We need to complete the square for the expression x^2-4x

For completing the square the expression would be of form a^2+2ab+b^2=(a+b)^2

For given expression we have to add (2)^2 and subtract to make it complete the square.

x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2

Now, we have to factor the polynomial using formula (a)^2-(b)^2=(a-b)(a+b)

So, (x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)

Completing the square we get: (x-2)^2-(2)^2

and factoring the term we get: x(x-4)

5 0
2 years ago
Through: (3,5), slope=5\3
ANEK [815]
So slope intercpet form
y=mx+b

m=slope
b=y intercpet


slope=5/3
in (x,y) form

x=3
y=5 is one point


subsitute and solve for b
y=mx+b
5=5/3 times 3+b
5=3/3 times 5+b
5=1 times 5+b
5=5+b
subtract 5 from both sides
0=b

equation is
y=5/3x+0 or
y=5/3x
3 0
2 years ago
Solve for x<br>-2x+2-7x= -70​
Lostsunrise [7]

Answer:

x=8

Step-by-step explanation:

-2x+2-7x=-70

Minus two from each side.

-2x-7x=-72

Combine like terms.

-9x=-72

Divide -9 from each side.

x=8

7 0
3 years ago
Hong reads 9 3/4 chapters in 3 3/8 hours. What is the unit rate in chapters per hour? Write your answer as a fraction or a mixed
Sav [38]

The unit rate is: 2\frac{8}{9} chapters per hour

Step-by-step explanation:

Given

chapters read = 9\frac{3}{4} = \frac{39}{4}

Time = 3\frac{3}{8} = \frac{27}{8}

Unit rate is calculated by dividing the total chapters by total time

So,

Unit\ rate = \frac{\frac{39}{4}}{\frac{27}{8}}\\= \frac{39}{4} * \frac{8}{27}\\= 13 * \frac{2}{9}\\=\frac{26}{9}\\=2\frac{8}{9}

Hence,

The unit rate is: 2\frac{8}{9} chapters per hour

Keywords: Unit rate, fractions

Learn more about fractions at:

  • brainly.com/question/5998244
  • brainly.com/question/5924921

#LearnwithBrainly

4 0
3 years ago
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