A quadratic equation is set up in the form of ax² + bx +c
First set equation = to 0
0= x² - 5x - 24
Next plug into quadratic formula( -b Plus or minus the √b²-4ac) ÷ 2a
[10 plus or minus √(25² - 4×1×24)] ÷ 2
Solve for inner parenthesis first
√625- 96 = √529
Now set up two equations
(10 + √529) ÷2 = x = 16.5
(10 - √529) ÷2 = x = -6.5
So therefore x = 16.5 and -6.5

8 0

3 years ago

What is the slope of the line that passes through the pair of points (-1, 4), (3,12)

Nadya [2.5K]

Answer:

$\displaystyle m = 2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 12)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{12-4}{3--1}$
[Fraction] Subtract: $\displaystyle m = \frac{8}{4}$
[Fraction] Divide: $\displaystyle m = 2$

3 0

3 years ago

Question 5 of 10

LiRa [457]

Answer:

y=1/2x

Step-by-step explanation:

if a linear equation has a parallel function then it's going to have to be the same slope as the equation. ie

y=2x+3

and

y=2x-2

are paralell

6 0

3 years ago

Yuhhhhhhhhhhhhhhhhh

Mashutka [201]

Answer:

6. 550

7. 70

Step-by-step explanation:

6. 16+28 = 44, 44*25 = 1100 divided by 2 = 550

7. 2.5+3+5.5 = 11, 11+3 = 14, 14*10 = 140 divided by 2 = 70

3 0

3 years ago