Prove that 3:8 is equivalent to 12:32:
I'd suggest that you write the ratio 12:32 as<span /><span><span><span><span><span><span><span><span><span>12</span><span /></span><span><span>32</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span></span>
and then factor both the 12 and the 32. Write out the factors:<span /><span><span><span><span><span><span><span><span><span>12</span><span /></span><span><span>32</span><span /></span><span><span /><span /></span></span></span><span>=</span><span><span><span><span><span>(</span><span>?</span><span>)</span><span>(</span><span>?</span><span>)</span></span><span /></span><span><span><span>(</span><span>?</span><span>)</span><span>(</span><span>?</span><span>)</span></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span></span> and then reduce this last result by cancelling out the common factor.3 x 4 = 12
8 x 4 = 32
It is equivalent. They both multiplied by four the get that ratio.
There is a common equation we use to find the Area of a trapezoid.
(a+b)h/2=A
Let's fill in what we know. We're not going to fill in any information about the bases.
(a+b)8/2=96
We can already tell that 8/2 will simplify to 4.
(a+b)4=96
Let's divide each side by 4.
a+b=24
Now, let's look at the information about the bases.
So, we will have this in terms of base a, since one base is longer than the other. This is how it'll look.
a +(a+6)=24
We can simplify that further.
2a+6=24
now subtract 6 from each side.
2a=18
Let's divide
9=a
So one side is 9, so the other one is 15. We should make sure everything makes sense by putting all the information in the formula to find area.
(9+15)8/2
24×4
96.
The lengths of the bases are 9 and 15 inches.
Answer:
y=(x+kh)1/h
Step-by-step explanation:
(y-k)h=c
hy-kh=c
hy=x+kh
y=(x+kh)1/h
Answer:
(-2,4) is the point of intersection according to the graph
Answer:
Step-by-step explanation:
Steps:
- Factorise the second term as the first is already in its simplified form.
- Solve the first term and the second term by doing the required arithmetic operations.
- Take the common factor out.
- The result will be : 2 (- a - 6).
