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natima [27]
4 years ago
5

Instructions: Find the equation of the line through point (−4,1) and parallel to y=−12x−2. Use a forward slash (i.e. "/") for fr

actions (e.g. 1/2 for 12). Y=
Mathematics
1 answer:
USPshnik [31]4 years ago
7 0

Answer:

y = - 12x - 47

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 12x - 2 ← is in slope- intercept form

with slope m = - 12

Parallel lines have equal slopes, thus

y = - 12x + c ← is the partial equation

To find c substitute (- 4, 1 ) into the partial equation

1 = 48 + c ⇒ c = 1 - 48 = - 47

y = - 12x - 47 ← equation of parallel line

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2 quick algebra 1 questions for 50 points!
tekilochka [14]

Answer:

t = 60/n

Step-by-step explanation:

The original equation we know is y = k/n

Since 12 people can assemble the set in 5 hours, when y is 5, n will be 12.

We can now input that value into the equation.

--> 5 = k/12

--> 5(12) = k/12 (12)

--> 60 = k

--> k = 60

The equation to represent the situation can be written as:

t = 60/n

and that is our final answer!

5 0
2 years ago
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What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tent
Olin [163]

Answer:

766.3

Step-by-step explanation:

8 0
3 years ago
As concrete dries, it shrinks—the higher the water content, the greater the shrinkage. If a concrete beam has a water content of
Flauer [41]
A.) Here, w = 550kg/m^3.
Therefore, S = (0.032(550) - 2.5)/10000 = 0.00151

After drying, the beam will be (1 - 0.00151) x 12.027 = 12.009


b.) 0.0012 = (0.032w - 2.5)/10000
0.032w - 2.5 = 12
0.032w = 12 + 2.5 = 14.5
w = 14.5/0.032 = 453 kg/m^3
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3 0
3 years ago
If you had 1,100 blue berry's and 3 people took 61 each how many would you have left?
katrin [286]

Answer:

917.

Step-by-step explanation:

I'm 100% sure because 1,00-61-61-61=917.

Hope this helped lots and lots,

sincerely, me

6 0
4 years ago
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A study of class attendance and grades among first-year students at a state university showed that in general students who atten
musickatia [10]

Answer:

r = 0.9

Step-by-step explanation:

Correlation is denoted by r. r² is usually used to measure variation along the line as a fraction of the total variation.

We are told class attendance explained 81% of the variation in grade index among the students. Thus, for this regression, the variation is;

r² = 81%

Or r² = 0.81

Thus, the numerical value of the correlation r would be;

r = √0.81

r = 0.9

7 0
4 years ago
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