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Dovator [93]
3 years ago
13

Construct 3 linear equation starting with qiven solution z = 1/3

Mathematics
1 answer:
Andreyy893 years ago
4 0

Answer:

(a)9z+2=5

(b)21z-11=-4

(c)4z=2-2z

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

<u>Equation 1</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 9

9z=\frac{1}{3}\times 9\\9z=3

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: 9z+2=5

<u>Equation 2</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 21

21z=\frac{1}{3}\times 21\\21z=7

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: 21z-11=-4

<u>Equation 3</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 6

6z=\frac{1}{3}\times 6\\6z=2

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: 4z=2-2z

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An exterior angle is equal to the sum of the two opposite inside angles.

T + 31 = t + t-29

Simplify:

T + 31 = 2t -29

Add 29 to both sides:

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Subtract 1t from both sides:

T = 60

8 0
3 years ago
SOMEONE PLEASE HELP HURRY (show work pls
ycow [4]
Answer is b. -1/2
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5 0
3 years ago
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What is 6y - 12 = -3x in standard form?
lakkis [162]
To get it into standard you need to simplify
6y - 12 = -3x add 12 to both sides
6y = -3x + 12 add 3x to both sides
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6 0
3 years ago
in these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x and y
vlada-n [284]
I added a screenshot with the complete question

Answer:
x = 3
y = 9

Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3

2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9

Hope this helps :)

5 0
3 years ago
Is this graph a function? why or why not.
Reil [10]

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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