Since ∝ < β you can throw out answers C and D. Using the relationship of sine and cosine being complementary angles you can plug in the two smallest values. Out of those two for 13° you get sin18°=cos72° and 13°+72°=90°, meaning these two angles are complementary.
Step-by-step explanation:
there seems to be something missing.
I assume the slope of the line is -2/3.
the slope of a line is always the factor of x in the equation.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the equation for the line looks like this then :
y = (-2/3)×x + b
to get b we use the provided point (-6, -5) and it's x and y values.
-5 = (-2/3)×-6 + b = 4 + b
b = -9
so, the full equation of the line is
y = (-2/3)×x - 9
Answer:
1. $6.20
2. Samantha has $79, she decides to go to the mall and buys 6 dresses that are $7 each. She thinks that she might not have enough money so she returns 2 dresses. She then finds out that she has more than enough so she buys a candy bar for $5. How much money does she have left?
Sam has $79, she buys 6 dresses that cost $7 each. She returns 2 dresses and then buys a candy bar for $5. How much money does she have left?
Step-by-step explanation:
1. you can write an equation to represent the word problem
20-(2.10+0.9x)
20-(2.10+0.9(13)
20-(2.10+11.7)
20-(13.8)
6.2
Answer:
-3, 5/2
Step-by-step explanation:
What are the roots of the function y = 4x2 + 2x – 30?
To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.
Factor out the GCF of : 2, so the equation becomes 0 = 2(2x2+x-15)
Next, factor the trinomial completely. The equation becomes: 0=2(x+3)(2x-5)
Use the zero product property and set each factor equal to zero and solve.
x+3=0 2x-5 = 0
x = -3, 5/2
The roots of the function are -3, 5/2.
Hope this helped!