Answer:
y = -.5x -.5
Step-by-step explanation:
All you do is plug in the x and y in the point to the equation, y = mx + b. Since the coordinate is (5, -3), this in the equation would look like -3 = -.5(5) +b. (all you need to find is the y-intercept, or b.) Solve it out to get -3 = -2.5 + b. Add 2.5 to each side of the equation, you're left with b = -.5. Now, put that back into the original equation, and get y = -.5x -.5. I think this is right, you can go back through and check once more if you'd like.
Answer:
Ella's normal hourly pay is $12 per hour.
Step-by-step explanation:
Let us assume that the Ella's Normal hourly pay = $x per hour
Over hourly pay = 1.5 times ( Normal pay)
= 1.5 ( x) = $ 1.5 x
⇒Ella earns $1.5x in 1 hour of overtime.
So the amount she earns in 4 hour of overtime = 4 times (per hour pay)
= 4 ( $1.5x) = $ 6 x
The amount Ella earned in 4 hours of over time = $72.00
According to the question:
$ 6 x = $72.00
or, x = 72/6
=12
or , x = $12
Hence, Ella's normal hourly pay is $12 per hour.
Answer:
<em>The shaded region has an area of 1400 square units</em>
Step-by-step explanation:
<u>Area of Compound Shapes</u>
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units
No
because 2 similar triangles have to meet one of the following conditions:
1. all sides are equal
2. 2 pair of equal sides & the angles between these sides are equal
