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Gennadij [26K]
3 years ago
15

Write an equation of the line that is perpendicular to y=-3x+1 and passes through point (5,3).

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer: There are two formulas that we will use the first one is the y=m x+b and the second one is finding the perpendicular line.

Step-by-step explanation:

the first one is

y=m x+b

y= 3 x -12

the second one is

first find the negative reciprocal of the slope of the original line and use the point slope formula y- y,= m(x - x1) to find the line perpendicular to

Y= 3 x 1

X= 5

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A worker at a factory earns $12 per hour plus 2.50 for each unit produced that hour. The worker earns a total of $27 in one hour
nevsk [136]

Answer:

The total number of units produced is 6  .

Step-by-step explanation:

Given as :

The earning of worker at the factory = $ 12 per hour + $ 2.50 each unit per hour

The total earning of worker per hour = $ 27

Let The total number of unit produced = x

According to question

The wage worker earn per hour + earning  × per unit produced that hour = Total earning of worker per hour

Or, $ 12 per hour + $ 2.50 each unit per hour × x = $ 27

Or, $ 2.50 each unit per hour × x = $ 27 - $ 12

Or,  $ 2.50 each unit per hour × x = $ 15

∴   x = \frac{15}{2.50}

Or, x = 6

Hence The total number of units produced is 6  .   Answer

4 0
3 years ago
The first four terms of a geometric progression are 84, 42, 21, 10.5 a) write down the common ratio of the progression b) write
Ket [755]

Answer:

r = 0.5 and 5.25

Step-by-step explanation:

The common ratio r of a geometric progression is the ratio of a term to the one before it, that is

(a)

r = 42 ÷ 84 = 0.5

(b)

To obtain a term in the sequence multiply the previous term by r, thus

a₅ = 10.5 × 0.5 = 5.25

3 0
3 years ago
Which expressions are equivalent to 5(-2k-3)+2k
bulgar [2K]

Answer:

-8k - 15

Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

or, -5*(2k) - (5*3) + 2k

or, -10k - 15 + 2k

or, -8k - 15 (after the deduction)

The answer is = -8k - 15

6 0
3 years ago
I need help on this PLS
IrinaVladis [17]

I REALLY HOPE THIS HELPS! I’m sorry if this was wrong but I really believe it’s true.

Answer:

The value of P is $6.75.

Step-by-step explanation:

In the diagram to the left, we see 6 apples, and are labeled that the price is $4.50.

If the prices are proportional, that may mean that each apple has the same price. To find the price of apples in the diagram to the right, divide the total price by 6:

4.50/6 = 0.75

So the price per apple is 0.75.

As seen on the diagram, P represents the total price of 9 apples.

Multiply the price per apple by 9:

0.75 x 9 = 6.75

So the value of P is $6.75

5 0
3 years ago
Match the inequality to the graph of the solution C - 6 < 4​
SVEN [57.7K]

Answer:

A

Step-by-step explanation:

C  - 6  <    4

<u>     +6     +6   </u>

C       < 10    

Open circle at 10 and shade to the left.

4 0
3 years ago
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