Answer:
The equation that represents the new path is y=(1/2)x-2
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-2x-7
so
the slope m is equal to
m=-2
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-2 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/2
step 3
With m=1/2 and the point (-2,-3) find the equation of the line
y-y1=m(x-x1)
substitute
y+3=(1/2)(x+2)
y=(1/2)x+1-3
y=(1/2)x-2 -----> equation that represent the new path
Answer: -12
Step-by-step explanation: To solve this problem, we can first start by rewriting the problem. When we add a negative, that's exactly the same thing as subtracting so we can make the problem easier to understand.
18 + (-30) → 18 - 30
To find the answer to this problem, let's first find out how many jumps it get's to 0 from 18. It would take 18 jumps and there is 12 jumps left over. Then, we would subtract 12 from 0 and we would get -12 as our answer. Therefore, 18 + (-30) = -12.
Answer:
x^3(15x^4y^2+4)
Step-by-step explanation:
Answer:
x ≈ 11.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle = 35°
Opposite Leg = <em>x</em>
Hypotenuse = 20
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [sine]: sin35° = x/20
- Isolate <em>x</em>: 20sin35° = x
- Evaluate: 11.4715 = x
- Rewrite: x = 11.4715
- Round: x ≈ 11.5