MATHEMATICS HIGH SCHOOL

what is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? y = 4x − 2 y = 2x − 4 y = −3(x − 4) y = 3(x 4)

Answers

Answer 1
Answer: Equation in point slope form is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1).

y - 0 = (6 - 0)/(2 - 4) (x - 4)
y = 6/-2 (x - 4)
y = -3(x - 4)
Answer 2
Answer:

Answer:b

Step-by-step explanation:

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What is the value of x?70°12x + 14

∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A + sin B?A) 0.28

B) 1

C) 0.38

D) 1.38

Answers

The answer is D)1.38

Answer:

1.38

Step-by-step explanation:

What is bigger 11/14 or 3/4?

Answers

Step 1: Reduce (simplify) entered fractions to lowest terms, if the case:
Fraction: 3 / 4 it's already reduced to lowest terms
Fraction: 11 / 14 it's already reduced to lowest terms

Step 2: Calculate LCM (lowest common multiple) of the reduced fractions' denominators, it will be the common denominator of the compared fractions:
Denominator 4, factored = 22
Denominator 14, factored = 2 * 7
LCM (4, 14) = 22 * 7 = 28

Step 3: Calculate each fraction's expanding number (LCM divided by each fraction's denominator):
For fraction: 3 / 4 is 28 : 4 = (22 * 7) : 4 = 7
For fraction: 11 / 14 is 28 : 14 = (22 * 7) : 14 = 2

Step 4: Expand fractions to bring them to the common denominator (LCM):
3 / 4 = (7 * 3) / (7 * 4) = 21 / 28
11 / 14 = (2 * 11) / (2 * 14) = 22 / 28

All of them are right except for number 1 like the “1 units up is wrong and the answer for that one is also not 5 or 6, I already tried so. Please I can’t get it wrong again!

Answers

Answer:

it is 5 to figure 9 you move 8 units and 2 units

Find the length of the missing

Answers

Answer:

12

Step-by-step explanation:

using pythagoras theorem

here 15 is hypotenuse since it is opposite 0f 90 degree

9 and x are the other smaller sides of a triangle

according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,

9^2 + x^2 = 15^2

81 + x^2 = 225

x^2 = 225 - 81

x^2 = 144

x = \sqrt{144

x = 12

What is the factored form of the polynomial?x2 + 9x +20

(x − 4)(x − 5)
(x − 2)(x − 10)
(x + 4)(x + 5)
(x + 2)(x + 10)

Answers

The factored form of the polynomial x² + 9x + 20 is ( x + 4 ) ( x + 5 )

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

Given :

x^2 + 9x + 20

To factor this form, we first look for the following operations:

_ + _ = 9

_ × _ = 20

To fill in the blanks, the matching numbers are :

4 + 5 = 9

4 × 5 = 20

Next, the above equation can be factorized into:

x^2 + 9x + 20

x^2 + 4x + 5x + 20

(x^2 + 4x) + (5x + 20)

x(x + 4) + 5(x + 4)

\large {\boxed {(x + 4)(x + 5)} }

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number

Answer:

(C)(x + 4)(x + 5)

Step-by-step explanation:

The given equation in the form of polynomial is:

x^2+9x+20

Factorizing the above given equation, we get

x^2+5x+4x+20

x(x+5)+4(x+5)

Taking x+5 common, we have

(x+4)(x+5)

which is the required factorised form.

Therefore the factors of the given polynomial are (x+4)(x+5).

Thus, Option (C) is correct.

A line has this equation: y= -9x-2Write an equation for the parallel line that goes through (2, -3).

Answers

Answer:

y = - 9x + 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 9x - 2 ← is in slope- intercept form

with slope m = - 9

Parallel lines have equal slopes, thus

y = - 9x + c ← is the partial equation

To find c substitute (2, - 3) into the partial equation

- 3 = - 18 + c ⇒ c = - 3 + 18 = 15

y = - 9x + 15 ← equation of parallel line
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