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Klio2033 [76]
2 years ago
5

Write th equation of the line in standard from passing through the point (-1,2) and is parallel to the line: y=3x-5

Mathematics
1 answer:
maxonik [38]2 years ago
8 0

Answer:

y = 3x + 5

Step-by-step explanation:

Parallel ⇒ Same gradient

→ Rewrite with the same gradient but different constant

y = 3x + c

→ Substitute in the new coordinates

2= -3 + c

→ Solve for c

c = 5

→ Rewrite full line equation

y = 3x + 5

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The sum of two numbers is 134. If three times the smaller number is subtracted from the larger number, the result is 18. Find th
Phantasy [73]

Let, larger number be x and smaller number be y.

Condition 1: The summ of two numbers is 134.

It can be written as,

x+y=134\ldots\ldots\text{.}(1)

Condition 2: If three times the smaller number is subtracted from the larger number, the result is 18.

The equation is,

x-3y=18\ldots\ldots\ldots\text{.}\mathrm{}(2)

Solving equation 1 and 2,

\begin{gathered} \text{subtract equation (2) from (1),} \\ x+y-(x-3y)=134-18 \\ x+y-x+3y=116 \\ 4y=116 \\ y=29 \end{gathered}

Out the value of y=29 in equation (1),

\begin{gathered} x+y=134 \\ x+29=134 \\ x=105 \end{gathered}

Answer:

Larger number is x=105

Smaller number is y=29.

7 0
1 year ago
Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the f
xenn [34]
After 5 hrs not exactly 5 hrs because that’s exactly his limit
3 0
3 years ago
Find the negative reciprocal of the sum of the 25 and square of 2, pls show your work
Lesechka [4]

Answer:

-17.964

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A) x and y are two numbers taken from the list below.
Masja [62]

Answer:

a)

i) we have the equation:

3*x - 2*y

We want to find a common multiple of 3 and 2.

One can be:

3*6 = 18

2*9 = 18

And both numbers 6 and 9 are on the list, then if we take:

x = 6, y = 9

we get:

3*6 - 2*9 = 18 - 18 = 0

The solution is x = 6, y = 9.

ii) The greatest possible value of:

3*x - 2*y

Will be when x is the largest value of the list (because it is on the positive term) and y is the smallest value on the list (because it is on the negative term)

then we need to have x = 10, y = 5

The value will be:

3*10 - 2*5 = 30 - 10 = 20

iii) Now we want to have the smallest value on x, and the largest one on y, then:

x = 5, y = 10

The smallest value of the equation will be:

3*5 - 2*10 = 15 - 20 = -5

B) We want to solve:

5*(a - 4*b)

when:

a = -7

b = 1/4

This is kinda easy, we just need to replace the variables in the equation to get:

5*(a - 4*b) = 5*(-7 - 4*(1/4)) = 5*(-7 - 4/4) = 5*-8 = -40

6 0
3 years ago
The team won 18 of its 30 games. What was the team’s won-lost ratio?
NemiM [27]

Answer:

18:12 (accurate)

3:2 (simplified)

Step-by-step explanation:

The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:

30 - 18 = 12

The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:

won:lost ⇒ 18:12

18:12 is the ratio.

If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:

(18)/6 : (12)/6

3:2

3:2 is your simplified ratio.

~

6 0
3 years ago
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