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Aleks04 [339]
3 years ago
15

I.The difference between two numbers is 5. Their product is 36.

Mathematics
1 answer:
faust18 [17]3 years ago
3 0
Equ 1: X-Y=5
equ 2: x∗y=36
from Equ 1
     X=5+Y------equ 3
substitute x=5+y in equ 2
(5+y)∗y=36
5y+y^2=36
y^2+5y-36=0
factorize by substitution
(y^2+9y)-(4y-36)=0
y(y+9)-4(y+9)=0
(y-4)(y+9)=0
y=4 or y=-9....

substitute y=4 or -9 in equ 1
x-4=5
x=5+4
x=9 OR

x-(-9)=5
x+9=5
x=5-9
x=-4

since -4∗-9=36
therefore y=-9 and x=-4



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3 years ago
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7 0
3 years ago
I need help on #4 ASAP!!!!
kodGreya [7K]
Hi there. 

A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.

(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.

Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
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One measurement is 84 degrees.

x = 40 is another measurement on its own.

Our measurements are:
56, 84, and 40.

Your corresponding answer choice is H.) 56, 84, 40.

I hope this helps!
7 0
3 years ago
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