The equation of a line is:
y-yo=m(x-xo)
Where (xo,yo)=(9,3) and m is the slope.
The slope of a line which is parallel to another line is the same; the slope of the line y=6x-4 is 6, then:
y-3=6(x-9)
y-3=6x-54
y=6x-51
Combine like terms to get 2x + 6x which is 8x and 3y + 9y which is 12y so the simplified answer is 8x + 12y
Answer:
h = s / π.r²
Step-by-step explanation:
the given equation is s = π.r².h
Now if we have to calculate the value of h from the given formula then we will solve it so that h remains alone on one side of the equation.
This only possible when we divide term on both the sides by π.r²
s/π.r² = π.r².h/π.r²
h = s / π.r²
Therefore h = s / π.r² is the right option.
Answer:
Angle A = 60º and Angle B = 30º
Step-by-step explanation:
We know that A and B are complementary angles, therefore ∠A + ∠B =90. (+)
On the other hand, ∠A is half as large as ∠B; this can be written algebraically as . (*)
If we substitute (*) in (+) we get:
And now we substitute the value of B in (+) and we get:
∠A+60 = 90
∠A = 90-60
∠A = 30
Answer:
h(5) = -22
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
h(x) = -5x + 3
h(5) is x = 5
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function]: h(5) = -5(5) + 3
- Multiply: h(5) = -25 + 3
- Add: h(5) = -22