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Ne4ueva [31]
2 years ago
9

Which equation represents the vertical line passing through (5,-4)?

Mathematics
1 answer:
-Dominant- [34]2 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

Since the line is vertical,

the equation of the line then is x = (some value).

Since this particular line passes throught (5,-4), where the x coordinate is 5, we can deduce the equation of this line to be x = 5.

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Divya spends all of her free time playing with her building blocks. She owns building block sets with 333 pieces, 555 pieces, an
DiKsa [7]

Answer:

  5 sets

Step-by-step explanation:

The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.

Let x represent the number of 3-piece sets. Then the total number of pieces is ...

  3x +5(5) +10(2) = 3x +45

The total number of sets is ...

  x +5 +2 = x +7

We want the ratio of these numbers to be 5 pieces per set:

  (3x +45)/(x +7) = 5

  3x +45 = 5x +35 . . . . . multiply by (x+7)

  10 = 2x . . . . . . . . . . subtract (3x+35)

  5 = x . . . . . . . . . divide by 2

Divya owns 5 sets with 3 pieces.

_____

<em>Alternate solution</em>

Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.

Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.

Altogether, the differences from average must total zero.

5 0
3 years ago
M is the midpoint of AB and C is the midpoint of AM . Let the coordinate of A = 7y and the coordinate of B = 3x. Find the coordi
xz_007 [3.2K]

Answer:

The answer is below

Step-by-step explanation:

The coordinate of the midpoint of a line is gotten by adding the values of the two end points and then dividing the result by 2.

Given that M is the midpoint of AB, A = 7y and B = 3x, hence the coordinate of point M is given as:

M = (A + B)/2 = (7y + 3x)/2

Also, C is the midpoint of AM, hence the coordinates of point C is given as:

C=\frac{A+M}{2}\\ \\C=\frac{7y+\frac{3x+7y}{2} }{2}\\ \\C=\frac{\frac{14y+3x+7y}{2} }{2}\\ \\C=\frac{21y+3x }{4}

Hence the coordinates for point C is C=\frac{21y+3x }{4}

7 0
3 years ago
I NEED HELP WITH ALL OF THESE PLEASE! I HAVE A TEST AND I NEED HELP ASAP
Studentka2010 [4]
So what you do for distributive property is take #1 for example: 3(2x + 10) = 54. When there’s a parenthesis, you take the outside number which is the 3 times the numbers inside the parenthesis. So after doing that first step you should get 6x + 30 = 54. Now you want to get rid of the 30 so you do 30-30=0 but you have to do it on the other side as well. So subtracting 30 on both sides you should have 6x = 24. Now you want to get x by itself. The opposite of multiplying is dividing so you divide 6 from 6x. So the same on the other side. You get your answer x=4 if you did everything correct
4 0
3 years ago
for the equation 2x(3x+5)+3(3x+5)=ax^2+bx+c , if this equation is true for all values of x,what is the value of b if a,b,and c a
guapka [62]

Answer:

b=19

Step-by-step explanation:

2x(3x+5)+3(3x+5)=ax2 +bx+c

by expansion,

6x2 +10x +9x+15=6x2 +19x +15

6 0
3 years ago
I really need help!!!​
solong [7]

Answer:qt62

Step-by-step explanation:

kd

4 0
3 years ago
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