Answer:
x = 8 or
x = -2
Step-by-step explanation:
<h2><em>Completing The Square</em><em>:</em></h2>
x² - 6x - 16 = 0
Here,
a = 1
b = -6
c = -16
Now,
x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0
x² - 6x + (6/2)² - (6/2)² - 16 = 0
x² - 6x + (3)² - (3)² - 16 = 0
(x - 3)² - 9 - 16 = 0
(x - 3)² - 25 = 0
(x - 3)² = 25
x - 3 = +-√25
x - 3 = +- 5
x = 3 +- 5
x = 3 + 5 or x = 3 - 5
<em><u>x = 8 or x = -2</u></em>
Hope it's helpful
Answer:
Angle DAC is an exterior angle (because it son the exterior of the triangle) and idk the choices for the measure of Angle DAC are.... but i know that X is equal to 119 beacse that line its on makes a 180 degree line with 61. so 180-61 is equal to 119
Answer:
f(x)= $70 - $1.5*x
Step-by-step explanation:
You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:
$5 + $15= $20
Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:
$1.5*x
So the money spent after x rides can be expressed as:
$20 + $1.5*x
Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:
$90 - ($20 + $1.5*x)
$90 -$20 -$1.5*x
$70 - $1.5*x
By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:
<u><em>f(x)= $70 - $1.5*x</em></u>
Answer:
A》39°
B》91°
C》59°
Step-by-step explanation:
hope it helps
have a great day!!
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (0, -4)
Point (10, 3)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
- [Fraction] Subtract:
