Answer:
12+33 and 33 - (-12)
Step-by-step explanation:
12 - (-33) = 45
12 + 33 gives us 45
33 - (-12) gives us 45
Answer:
-4a + 16b -12c -12d
Step-by-step explanation:
Given: From 4a + 7b - 12c subtract 8a - 9b + 12d.
We are given two algebraic expression. We can add/subtract only the like terms.
(4a + 7b -12c) - (8a -9b +12d)
Now we have distribute the negative sign inside the second expression (8a -9b +12b). If we do, the sign changes.
4a + 7b -12c -8a + 9b -12d [Sign rule: -(-) = +; -(+) = -]
Now we can combine the like terms
= (4a - 8a) +(7b + 9b) -12c -12d
= -4a + 16b -12c -12d
<span>2x+5=10
Subtract 5 from both sides.
2x + 5 - 5 = 10 - 5
2x = 5
Divide both sides by 2.
2/2x = 5/2
x = 5/2
5/2 can be simplified to 2 1/2 or 2.5.</span>
Answer:
Blue Triangle.
Step-by-step explanation:
Using the area formula for a triangle, the pink triangle has an area of 0.5×54×33 in² or 891 in². The blue triangle has an area of 0.5×56×39 in² or 1092 in².
Answer:
A/B = 0.125
Step-by-step explanation:
Givens
r for Sphere A = 4
r for Sphere B = 8
Solution
Volume A = 4/3 pi r^3
r = 4
Volume A = 4/3 pi 4^3
Volume A = 4/3 pi 64
Note: there is no point in expanding the result. 4/3 and pi are going to cancel out when you set up the volume formula
Volume B = 4/3 pi * r^3
r = 8
Volume B = 4/3 pi * 8^3
Volume B = 4/3 pi * 512
Ratio A to B = 4/3 pi * 64 / 4/3 * pi * 512 Cancel 4/3 pi
Ratio A to B = 64/512
Ratio A to B = 1/8
Ratio A to B = 0.125