Answer:
(x - 3)² = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
x² = 6x + 1
<u>Step 2: Rewrite</u>
- Subtract 6x on both sides: x² - 6x = 1
- Complete the Square: x² - 6x + 9 = 1 + 9
- Factor: (x - 3)² = 10
First note that f(x) means the same thing as y. To solve for f(x) or y you need to plug in -5 for x and solve using the rules of PEMDAS
5(-5) + 40
-25 + 40
15
When x is -5 then y is 15
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Step-by-step explanation:
(68+75+74+82+88+x)/6=70
(387+x)/6=70
x= 33
Answer:
the answer would be 135 meters
Step-by-step explanation:
If, to scale on a map, 1 centimeter is 3.5 meters, them 2 centimeters is 7 meters. so on and so forth until 30. 30 (centimeters) times 3.5 (meters) is 135. hope this helped!!!!! reply if this doesn't make sense
Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)