MATHEMATICS HIGH SCHOOL

After distributing the terms (2x + 3) (4x – 5), you get a new expression of the formax+ bx + c
What is the value of a?
What is the value of b?
What is the value of c?

Answers

Answer 1

Answer:

Answer:

Value of a = 8

Value of b = 2

Value of c = - 10

Step-by-step explanation:

$(2x + 3)(4x - 5)$

$= > 2x(4x - 5) + 3(4x - 5)$

$= > 8 {x}^(2) - 10x + 12x - 15$

$= > 8 {x}^(2) + 2x - 10$

As per the general form of a quadratic eqn. $a {x}^(2) + bx + c$

Value of a = 8

Value of b = 2

Value of c = - 10

Related Questions

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What is the decimal representation of 27/100? A. 2.7 B. .27 C. .72 D. 27.1
81 is 54% of what number
Add.5x^2- 5x+12x^2+9x-6

Use an area model to multiply (3x+7)(4x+5).
Fill in the blanks with the correct numbers.

Answers

Answer:

12^2 + 43x + 35

Step-by-step explanation:

(3x+7)(4x+5)

=(3x+7)(4x+5)

=(3x)(4x)+(3x)(5)+(7)(4x)+(7)(5)

=12x2+15x+28x+35

=12x2+43x+35

The following are the last 10 run scores Colin got in cricket: 5, 3, 9, 11, 4, 28, 0, 30, 0, 23 a) Work out Colin's mean score.

Answers

Answer:in pula mea dute si invata nu mai venii aici\

Step-by-step explanation:vezii ca daca nu invetii ii zic lu mata aia creata ca folosesti brainly bai nesimtitule mars la munca nu la frecat ou bai labare.

$√(x)$

about 60% of the normal human beings body weight is composed is water. How much of a 125 pound person is water weight?

Answers

60% of weight 60%=0.6 'of' means multipy 60% of 125 means 0.6 times 125=75 75 pounds

u do .6 x 125 = 75
Hope it right! and it helps u out!

How many terms are in the expression 20x + 9y

Answers

Two terms:

20x and 9y

A Term is either a single number or a variable.

There are 2 terms.

Term 1 : = 20x

Term 2 : = 9y

The quantity n varies jointly with the product of z and the square of the sum of x and y. When n is 18, x = 2, y = 1, and z = 3. What is the constant of variation?

Answers

Answer:

Constant of variation is, $(2)/(3)$

Step-by-step explanation:

Joint Variation states that it is jointly proportional to a set of variables i.e, it means that z is directly proportional to each variable taken one at a time.

Given the statement: The quantity n varies jointly with the product of z and the square of the sum of x and y.

"The square of sum of x and y" means $(x+y)^2$

"Product of z and the square of the sum of x and z" means $z * (x+y)^2$

then; by definition we have;

$n \propto z * (x+y)^2$

our equation will be of the form of:

$n = k \cdot z(x+y)^2$ ......[1] ; where k is constant of Variation.

Given: n =18 , x =2 , y= 1 and z = 3

Solve for k;

Substitute these given values in [1] we have;

$18= k \cdot 3(2+1)^2$

Simplify:

$18= k \cdot 27$

Divide both sides by 27 we get;

$k = (18)/(27) = (2)/(3)$

therefore, the constant of variation is, $(2)/(3)$

Hello,

n=k*z*(x+y)²
with n=18,x=2,y=1 and z=3
==>18=k*3*(2+1)²
==>k=18/27=2/3

∡1 and ∡2 are vertical angles. If m∡1 = 64°, find m∡2

Answers

Answer:

m∡2 = 64°

Step-by-step explanation:

By definition of vertical angles, the angles opposite of each other are equal each other.

∴ IF ∡1 and ∡2 are vertical angles, AND m∡1 = 64°, THEN m∡2 = 64°. (CPCTC - Definition of Vertical Angles).

Final answer:

Vertical angles are equal. Therefore, if ∡1 is 64°, then ∡2 is also 64°.

Explanation:

In mathematics, vertical angles are a pair of non-adjacent angles formed when two lines intersect. By definition, vertical angles are equal in measure.

Therefore, when angle 1 (∡1 ) and angle 2 ( ∡2 ) are vertical angles, if the measure of angle 1 ( m∡1 ) equals 64° as per the question, then the measure of angle 2 (m∡2) will also equal 64°.

So, m∡2 = 64°.