Answer: y=-5x-36
Step-by-step explanation:
In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.
slope(m) =-5
and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)
point slope formula: y-y1=m(x-x1)
y-4=-5(x--8)
simplify and pay attention to negative signs
y-4=-5(x+8)
y-4=-5x-40
y=-5x-36
:)
Answer:
The rug will fit. The rug is smaller than the parallelogram.
Step-by-step explanation:
This question is testing to see if you can figure out how the rug may fit in the room.
The rug does fit. Here's how we know.
The only given information from the question is...
- Length and Width of the <em>Rectangular Rug</em>
- Area of the Parallelogram
Notice that you can use the Length and the Width to get the area of the Rectangular Rug. We need to find the area of the rectangle so we can compare it to the parallelogram.
The area of the Parallelogram is listed at : 108 sqft
The area of the rectangular rug is : 60 sqft
- <em>Area of rectangle = Length * Width</em>
- <em>6 * 10 = 60</em>
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The question now asks us if the rug will fit in her room. Well, 60 sqft is less than 108 sqft. So, yes, it will fit.
25/100 simplify and get 1/4
.25 as a decimal. 25 hundredths
When an exponential function is given as
f(x)=ab^x, and
knowing that b^0=1, that means that
f(0)=ab^0=a value of function when x=0, or the initial value.
In the case of
f(x)=20.b^x, f(0)=20.b^0 = 20 (initial value)
If b=1.2, then the hourly growth rate is (1.2-1)=0.2=20%.
If b=1.85, then the hourly growth rate is (1.85-1)=0.85=85%.
each term is negative and 1/4 of previous term so the nth term is the n-1 term times -1/4 so f(n)= -1/4 f(n-1)
