10) 4 1/2 inches thick. You would add them together and simplify 2/4 into 1/2.
11) Yes. He needed a stick that was about 5 feet long. It is only a little longer and he could easily make it shorter.
We know that
Perimeter=2AB+2AD=34 in-----> AB+AD=17-----> AB=17-AD-----> equation 1
MA=MD
MA²=AB²+(AD/2)²
for the triangle AMD
AD²=[MA²+MD²]----> AD²=2*[MA²]----> AD²=2*[AB²+(AD/2)²]---> equation 2
I substitute 1 in 2
AD²=2*[(17-AD)²+(AD/2)²]----> AD²=2*[289-34AD+AD²+0.25AD²]
AD²=578-68AD+2.50AD²--------> 1.50AD²-68AD+578
1.50AD²-68AD+578=0
using a graph tool to solve the quadratic equation
see the attached figure
AD1=11.33 in
AD2=34 in----------is not solution because (AB+AD=17)
Solution is AD=11.33 in
AB=17-11.33--------> 17-11.33-----> AB=5.67 in
the answer is
AD=11.33 in
<span>AB=5.67 in</span>
Answer:
2y + 3 = 4y + 2; y = 1/2
Step-by-step explanation:
to find this equation we can use the ys and the 1s to create an equation
so
in the left side
there are 2 ys and 3 1s
your equation is
2y + 3
on the other side
it is
4 ys and 2 1s
so
4y + 2 is your equation
then yo uset them equal to each other
2y + 3 = 4y + 2
if you must solve
subtract 2y and 2 from both sides
1 = 2y
then divide both sides by 2
y = 1/2 is your answer