and yes, the restrictions are -4, -2 and 1.
the original expression has such restrictions because if ever "x" becomes one of those values, one of the denominators will turn to 0 making the fraction
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Gym A charges 9 per hr
Gym B charges 0.75 per 5 minutes....0.75/5 = 0.15 per minute...60 minutes in an hr.....60 * 0.15 = 9 per hr
so Gym A and Gym B charge the same hourly rate
Answer:
2. y = -1/2x - 1
Step-by-step explanation:
First we want to find the slope of the line.
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values using two points (-4, 1) & (2, -2)
(-2 - 1) / (2 - (-4))
Simplify the parentheses.
= (-2 - 1) / (2 + 4)
= (-3) / (6)
Simplify the fraction.
-3/6
= -1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -1/2x + b
b is the y-intercept when the line crosses the y-axis.
From the graph, we can see that the point on the y-axis is (0, -1)
Therefore, b is -1.
Plug this into the equation.
y = -1/2x - 1
Hope this helps!
Answer:
<em>A) similar; SAS similarity.</em>
Step-by-step explanation:
<u>SAS Triangle Similarity</u>
The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5
Sides JK and BC have a ratio of 81/18 = 4.5
Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.
A) similar; SAS similarity.
Volume= 125cm cubed
Total Surface area=150 cm squared
