The expression 2r^2+18x +40 has a greatest common factor of 2.
1 answer:
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Answer:
x=16
Step-by-step explanation:
7x−2(3x−5)=26
Use the distributive property to multiply −2 by 3x−5.
7x−6x+10=26
Combine 7x and −6x to get x.
x+10=26
Subtract 10 from both sides.
x=26−10
Subtract 10 from 26 to get 16.
x=16
Graph if needed:
See the attached picture. You'll find a tree with four branches at level 1 (each of the four sectors of the spinner). Each of these branches is divided in four sub-branches: the possible results of tossing two coins (HH, HT, TH, TT).
So, there are 16 possible outcomes (numbered below each leaf).
If you want to roll an odd number, you have to take branch 1 or 3 at first level.
Then, for each of those, you have to toss exactly one head, so you have to take HT or TH.
The good outcomes are thus 2, 3, 10 and 11, leading to a probability of 4/16=1/4=25%.
Answer:
(3, -2)
Step-by-step explanation:
The <em>midpoint</em> of two points is half-way between the x-values and the y-values.
The formula is
M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
For the points (5,-5) and (1,1),
Half way between the x values is
(x₁ + x₂)/2 = (5 + 1) /2 = 6/2 = 3
Half way between the y values is
(y₁ + y₂)/2= (-5 + 1)/2 = -4/2 = -2
M = (3, -2)
The graph below shows your two points at (5,-5) and (1,1) and the mid-point at (3, -2).
