Answer:
y = x² - 4x - 21
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 25), thus
y = a(x - 2)² - 25
To find a substitute (7, 0) into the equation
0 = a(7 - 2)² - 25 = a(5)² - 25 = 25a - 25 ( add 25 from both sides )
25a = 25 ( divide both sides by 25
a = 1, thus
y = (x - 2)² - 25 ← in vertex form
Expand and simplify
y = x² - 4x + 4 - 25
y = x² - 4x - 21 ← in standard form
Answer:
10/7 feet
Step-by-step explanation:
Let e = Ethan
k = Kayla
The following equations can de derived from the equation :
1/2 e = 2/3k
multiply both sides of the equation by 2
e = 4/3k --- 1
e + k = 10 --- 2
Substitute for e in equation 2
4/3k + k = 10
7/3k = 10
multiply both sides of the equation by 3/7
k = 30/7
Substitute for k in equation 1
e = (4/3) x 30/7 = 40/7
difference in length = 40/7 - 30/7 = 10/7
The geometric term described as an infinite set of points that has
length but not width is called a line. It has a negligible with and depth. In
geometry, a line located in the plane is defined as the set of points whose
coordinates satisfy a given linear equation. A line segment however is a line
connected by two dots far apart from each other and then connected. For example
is the equation y=mx+b. This is a slope intercept form which is a linear
equation.
Area of the rectangle is 2*6=12 in^2
12 could be = 1*12 or 2*6 or 3*4
P could be 2*(1+12)=2*13=26
2*(2+6)=2*8=16
2*(3+4)=2*7=14
the answer is 24 in (c)
Answer:
57
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
n² - m
m = 7
n = 8
<u>Step 2: Evaluate</u>
- Substitute: 8² - 7
- Exponents: 64 - 7
- Subtract: 57
