Answer:
r = 24
Step-by-step explanation:
3(r+2)+5(2−r)=−32
Step 1: Simplify both sides of the equation.
3(r+2)+5(2−r)=−32
(3)(r)+(3)(2)+(5)(2)+(5)(−r)=−32(Distribute)
3r+6+10+−5r=−32
(3r+−5r)+(6+10)=−32(Combine Like Terms)
−2r+16=−32
−2r+16=−32
Step 2: Subtract 16 from both sides.
−2r+16−16=−32−16
−2r=−48
Step 3: Divide both sides by -2.
−2r/-2 = -48/-2
r = 24
Answer:
2
Step-by-step explanation:
Simplify 3y=6x+1;
y=2x-1/3
y=mx+b , where m represents the slope.
Slope; 2
Answer:
480,700 sets (first choice)
Step-by-step explanation:
If all 25 questions are different,
When order of selection counts:
P(25,7)
= 25!/(25-7)!
= 15511210043330985984000000/6402373705728000
= 2422728000
When order of selection does not count count:
C(25,7)
=25!/(7!*(25-7)!)
=15511210043330985984000000/(6402373705728000*5040)
= 480,700
Hope this helps, have a nice day.
Answer:
Rate of increase in height =
Step-by-step explanation:
we know that volume of a cone is given by
It is Given that diameter equals height thus we have
Differentiating both sides with respect to time we get
Applying values and solving for 
we get
Answer:
x = -1
y = 4
Step-by-step explanation:
i believe this shape is a rhombus because the diagonals are perpendicular and bisectors, meaning m∡A = m∡B = m∡C = m∡D
so AC = CB = BC = DA
y + 1 = 2y - 3
1 = y - 3
4 = y
Plugging in 4 for 'y' means all sides are equal to 5
find x: 2x + 7 = 5
2x = -2
x = -1
