First write both vectors in terms of their horizontal and vertical components.
G = (40.3 m)(cos(-35.0º) x + sin(-35.0º) y)
G = (33.0 x - 23.1 y) m
(where x and y are the unit vectors that point in the positive horizontal and vertical directions, respectively)
H = (63.3 m)(cos 270º x + sin 270º y)
H = (-63.3 y) m
Then the vector sum is
G + H = (33.0 x - 86.4 y) m
which has a magnitude of
|| G + H || = √[33.0^2 + (-86.4)^2] = 92.5 m
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Answer:
The inverse of the function y = x² - 12 is
x = √(y + 12)
Step-by-step explanation:
for y ≥ -12 :
x² - 12 = y ⇔ x² = y + 12 ⇔ x = √(y + 12).
:)
Answer:
f(1/2) = -2
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>
f(x) = 8x - 6
f(1/2) is x = 1/2
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(1/2) = 8(1/2) - 6
- Multiply: f(1/2) = 4 - 6
- Subtract: f(1/2) = -2
Answer:
The answer is -77
Step-by-step explanation:
Ok, so assuming by x2 you mean x squared, I will solve this. So basically when you have a function, f(-7) would mean that you would have to replace all the x's in the equation with -7. So let's write that out. that would be f(-7) = -7^2 + (-7*4). So now according to PEMDAS, you would solve the exponent first, and -7^2 is equal to -49, because when you solve it you would do -(7^2), which is -(49), which is then -49. So now you have f(-7)= -49+ (4*-7). Solving for (4*-7), you get -28. This leaves you with -49 + (-28), which is -49 - 28. Simplifying that, you get the answer, which is -77.
Equivalent expressions are expressions with equal values
The equivalent expression is 16.5d+9
<h3>How to determine the equivalent expression</h3>
The expression is given as:
14.5d+8.5-1/2d+1/2+2.5d
Express the fractions as decimals
14.5d+8.5-0.5d+0.5+2.5d
Collect like terms
14.5d-0.5d+2.5d+8.5+0.5
Evaluate the like terms
16.5d+9
Hence, the equivalent expression is 16.5d+9
Read more about equivalent expressions at:
brainly.com/question/2972832
