Sides FH and HJ are not congruent
Yes and no. A negative number and it's opposite are 'integers.' Yes, a negative and a negative multiplied together give you a positive. The two negative signs cancel out making it positive. But no, a positive and a positive multiplied together do not give you a negative. When you subtract positive numbers you can get a negative, but not when multiplying. If you were to do a positive times a negative it would be negative because the positive can't cancel it out. Example: -3 · -3 = 9. [] 3 · 3 = 9. [] -3 · 3 = -9. Other than the positive number part, the statement is true about the negatives. I hope that helped!
Answer: 2 2/3 is located on the third line after two and 1 5/6 is located on the last line after one
Step-by-step explanation:
Answer:
7.) 7
10.) 0
Step-by-step explanation:
When it means "evaluate the function", it's in essence asking us to see what the function spits out when we feed it a certain input. Our inputs are our x values, which spit out a y value.
Evaluating the function when x = 1:
Let's look at where the function has an x value of 1. We see it near the bottom of the table and see the y value associated with the input is 7. So when the function is fed 1 as an input, it spits out 7.
Evaluating the function when f(x) = - 2:
This one is a weird because of the new notation. Just think of it as some value of f, which we don't know (so we represent it as an x-variable) must equal -2. So let's look at our table to find out where our output is -2. We find that when f(x) = -2 the input is 0. So the input which gives -2 is 0.
Answer:
Length:8 m
Width:3 m
Step-by-step explanation:
<u><em>The complete question is</em></u>
If the perimeter of a rectangle is 22 meters, and the perimeter of a right triangle is 12 meters (the sides of the triangle are half the length of the rectangle, the width of the rectangle, and the hypotenuse is 5 meters). How do you solve for L and W, the dimensions of the rectangle.
step 1
<em>Perimeter of rectangle</em>
we know that
The perimeter of rectangle is equal to
we have
so
Simplify
-----> equation A
step 2
Perimeter of triangle
The perimeter of triangle is equal to
so
Multiply by 2 both sides
----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (8,3)
see the attached figure
therefore
The dimensions of the rectangle are
Length:8 m
Width:3 m
