The answer is 14 because 3 1/2 multiplied by 4 is 14. Hope this helps
<span>Answer: 18/25 ; or, write as: 0.72 .
_____________________________________
Explanation:
<span>_____________________________________
</span>
9/20 * 4/5 = (</span>9*4) / (10*5) = 36/50 ;
<span>_____________________________________________________
36/50 = </span>(36÷2) / (50÷2) = 18/25 ; or, write as: 0.72 .
<span>_____________________________________________________
</span>
The answer is x=-5 and x=1
Explanation: you just look where the line crosses the x axis which is left to right
We have this equation.
A²+B²=C²
We have bits of information that'll help us simplify the equation so there's only one variable.
The longer leg, A, is 3 inches more than the length of the shorter leg, B, tripled.
A=3B+3
Let's plug that in.
(3b+3)²+B²=C²
The hypotenuse, C, is 3 inches less than four times the length of the shorter leg. C=4B-3
Let's plug that in.
(3b+3)²+B²=(4B-3)²
Let's solve.
9B²+18B+9+B²=16B²-24B+9
10B²+18B+9=16b²-24b+9
Let's subtract 9 from both sides.
10b²+18b=16b²-24b
Let's subtract 10b² from both sides.
18b=6b²-24b
Let's add 24b from both sides.
42b=6b²
Let's divide each side by 6.
7b=b²
With this, you can tell that b is 7 since it times 7 equal itself squared.
The shorter leg is 7 inches.
Now, let's look back at the bits of information.
The longer leg of a right triangle is 3 inches more than the length of the shorter side tripled.
3(7)+3=24
So, the longer side is 24. We can either use the other information or plug it into the equation. We can do both.
The hypotenuse is 3 less than four times the shorter leg.
4(7)-3=25
7²+24²=
49+576=625
√625=25
So, the length of the hypotenuse is 25 inches.