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soldier1979 [14.2K]
3 years ago
12

Solve the following system of equations:

Mathematics
1 answer:
grin007 [14]3 years ago
7 0
<span>A) 4x − 2y − z = −5
B) x − 3y + 2z = 3
C) 3x + y − 2z = −5
Looking at ALL 4 solutions, x =0 in all of them.
So, let's say x = 0, eliminate the "x's" and just keep equations B and C
</span>
<span>B) -3y + 2z = 3
C) y − 2z = −5
</span>Add B) and C)
-2 y = -2
y = 1

<span>1 − 2z = −5
</span>-2z = -6

z = 3

and x = 0


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Round each number to the nearest tenth. What is the best estimate for the answer to 47.82 74.31?
natima [27]

i think that you are multiplying them so the answer is 3553.5

and if your adding it would be 122.1

7 0
3 years ago
Explain how proving to triangles congruent can help prove parts of the triangle congruent.
nydimaria [60]

Answer:

CPCTC - Corresponding Parts of Congruent Triangles are Congruent

Step-by-step explanation:

When two triangles are congruent, this means they have the same shape and the same size. To have the same shape, each angle must be congruent. To have the same size, each side length must be congruent. When you know two triangles are congruent you can say each corresponding part of congruent triangles is congruent. This is known as CPCTC.

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3 years ago
Darin can purchase tile at a store for 0.79 per tile and rent a tile saw for $24. At another store, he can borrow the tile saw f
ankoles [38]
Let us denote the number of tiles by T.

In the first store, if Darin bought T tiles, he would need to spend:
                        0.79\times T+24 (measured in $)

In the second store, if Darin bought T tiles, he would need to spend:
                        1.19\times T (measured in $)

For the cost to be the same at both stores, it means (measured in $)
                                           1.19T=0.79T+24

Moving 0.79T over to the left hand side and changing signs:
                                            1.19T-0.79T=24
                                            0.4T=24
                                            T= \frac{24}{0.4}
                                            T=60 tiles

Let's check. If he buys 60 tiles in the first store, he spends:
                              $0.79×60 + $24 = $47.40 + $24 = $71.40

If he buys 60 tiles in the second store, he spends:
                                               $1.19×60 = $71.40

∴ Darin needs to buy 60 tiles for the cost to be the same at both stores.
7 0
4 years ago
Answer the following questions about slope and y-intercept.
Juliette [100K]

Answer:

1. The y-intercept

2. The  slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10

Step-by-step explanation:

1. The value of the y coordinate at the point which the graph meets the y-axis is called to the y-intercept. It is the value at which the x-coordinate is equal to zero, that is, the coordinate of the point at the y-intercept = (y, 0)

2. Given that Clarissa eats 1 piece of chocolate every 10 seconds, we have the  slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10.

6 0
3 years ago
Solve the system of equations by graphing.<br> {y=x-6<br> {y=3x-8<br><br><br> Show work please
Zepler [3.9K]
You should subtract left sides and right sides in order to make y disappeared
and you will have the following:

y - y = (x - 6) - (3x - 8)    =>     0 = x - 6 - 3x - 8     =>     0 = -2x - 14    =>

2x = -14    =>    x = -14/2 = -7

Now you can use -7 in the system and you will get y
y = -7 - 6 = -13

So your answers will be:
x=-7 and y=-13


7 0
3 years ago
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