Answer:
x = 32.6666667
Step-by-step explanation:
12(x - 2) + 3x = 12(x + 6) + 2
Distribute;
12x - 24 + 3x = 12x + 72 + 2
Collect like terms;
15x - 24 = 12x + 74
Subtract 12x from both sides;
3x - 24 = 74
Add 24 to both sides;
3x = 98
Divide both sides by 3;
x = 32.6666667
Answer:
7
Step-by-step explanation:
PEMDAS
3-2=1
x
7
=
7
Answer:
8.12
Step-by-step explanation:
We obtain the distance between x and y
d = sqrt[(x2 - x1)² + (y2 - y1)²]
d = sqrt[(1 - 2)² + (2 - 6)²]
d = sqrt[1 + 16)
d = sqrt(17)
d² = 17
From Pythagoras rule;
Hypotenus = sqrt(Adjacent² + opposite²)
Hence,
Hypotenus = sqrt(17 + 7²)
Hypotenus = sqrt(17+ 49)
Hypotenus = sqrt(66)
Hypotenus = 8.124
Hypotenus = 8.12
Answer:
24
Step-by-step explanation:
From the picture you can see that area is sume of area P1 and area P2.
a=6 because its egdes are on point -2 and 4, so it is 6. (See x-ose)
h=3 Edges on -2 and 1 (see y-ose)
k=2 edges on 3 and 1 on y-ose
P1=a*h=6*3=18
P2=a*k/2=6*2/2=6
P=18+6=24
If the hypotenuse is equal to 11, then we can plug it into the Pythagorean theorem. So we get a^2+x^2=121. So we take the square root of both sides, sqrt(a^2+x^2)=11. So we take a^2 and x^2 out of the square root. We get a+x=11. So now we have two equations, a+x=11 and a^2+x^2=121. I’ll leave the rest of solving equations to you.
Hint: a=11-x
You can plug that into a^2+x^2=121