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Ainat [17]
3 years ago
11

The sum of 3 consecutive odd numbers is 51. What is the second number in this sequence?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0
Assume the second number is x, then the other two are x - 2, x + 2

So x-2 + x + x + 2 = 51

-> 3x = 51

-> x = 17
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Mars has m moons. The number of moons of Pluto is one more than twice the number of moons of Mars. The number of moons of Neptun
tigry1 [53]

Answer:

Neptune has 2 more than 6 times the number of moons on mars

Explanation:

neptune = 6m+2

mars has 'm' moons

pluto has one more than twice that of mars, = 2m+1

neptune is one less than thrice of pluto

= 3(2m+1) -1

= 6m+3 -1

= 6m+2

6 0
2 years ago
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give
goldfiish [28.3K]

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

=  \sqrt{(p-a)^2+(q-b)^2}

AB= \sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37} = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

     = 6.08 × 3.5

= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m=\frac{q-b}{p-a}

m= \frac{8-2}{3-2}=6

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




6 0
3 years ago
Read 2 more answers
How to convert 5x^2-60x+200 to vertex form?
Rom4ik [11]
Y=a(x-h)^2+k 

is what vertex form look like. (h,k) is your vertex so in this problem your vertex would be (60,200) 
6 0
3 years ago
Prove: An even plus an even is<br> an even<br> 2n + 2m = [? ](n + m)<br> = even
KonstantinChe [14]

Answer:

2(n + m)

Step-by-step explanation:

3 0
3 years ago
If the ratio of the triangular pyramids' surface areas is 4:9, what is F?
VladimirAG [237]

Answer:

The answer to your question is f = 10.35 in

Step-by-step explanation:

Data

Proportion = 4:9

height 1 = 4.6 in

height 2 = f

Process

1.- Write the proportion

                            \frac{4}{4.5} = \frac{9}{f}

2.- Solve for f

                            f(\frac{4}{4.6}) = f(\frac{9}{f})

                                   f(\frac{4}{4.6}) = 9

                                   4.6\frac{4f}{4.6} = 9(4.6)

                                           4f = 41.4

                           \frac{4f}{4} = \frac{41.4}{4}

                                           f = 10.35 in          

4 0
3 years ago
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