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Ratling [72]
3 years ago
7

Given the point (3,4) and the slope of 6, find Y when X =27

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0
1) we find out the equation of the line.
Given a point (x₀,y₀) and the slope m, the slope-point form is:

y-y₀=m(x-x₀)

Data:
(3,4)
m=6

Therefore:

y-4=6(x-3)
y-4=6x-18
y=6x-18+4
y=6x-14

2) we find out y, when x=27
y=6*(27)-14
y=162-14
y=148

Answer: When x=27, then y=148.
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mestny [16]

Answer: 7/5

Step-by-step explanation:

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3 years ago
Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 in
inysia [295]
Namely, how many times does 5/4 go into 95/4?   well, let's just divide,

\bf \cfrac{\quad \frac{95}{4}\quad }{\frac{5}{4}}\implies \cfrac{95}{\underline{4}}\cdot \cfrac{\underline{4}}{5}\implies \cfrac{95}{5}\implies 19
4 0
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Find the value of x in each case. Give reasons to justify your solutions<br> Q ∈ PR
slavikrds [6]

The exterior angle theorem states that an exterior angle is equal to the sum of its remote interior angles.

With that we know...

m<QRS+m<RSQ=m<SQP

90+34=x+72

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answer: 52 degrees

7 0
3 years ago
Consider the equation below (in screenshot)
frozen [14]

The <em>approximate</em> solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).

<h3>How to find an approximate solution of a one-variable equation</h3>

The solution of the equation is between x = 4 and x = 5. Now we begin by evaluating each side of the expression (f(x) = x² - 5 · x + 4, g(x) = 2 / (x - 1)) at the average of x = 4 and x = 5.

x = (4 + 5) / 2

x = 4.5

f(4.5) = 4.5² - 5 · 4.5 + 1

f(4.5) = - 5 / 4

g(4.5) = 2 / (4.5 - 1)

g(4.5) = 4 / 7

The solution of the equation is between x = 4.5 and x = 5, then we evaluate at the average:

x = (4.5 + 5) / 2

x = 4.75

f(4.75) = 4.75² - 5 · 4.75 + 1

f(4.75) = - 3 / 16

g(4.75) = 2 / (4.75 - 1)

g(4.75) = 8 / 15

The solution of the equation is between x = 4.75 and x = 5, then we evaluate at the average:

x = (4.75 + 5) / 2

x = 4.875

f(4.875) = 4.875² - 5 · 4.875 + 1

f(4.875) = 25 / 64

g(4.875) = 2 / (4.875 - 1)

g(4.875) = 16 / 31

The <em>approximate</em> solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).

To learn more on successive approximations: brainly.com/question/27191494

#SPJ1

7 0
2 years ago
The sum of two numbers is twice their difference. the larger number is 6 more than twice the smaller. find the numbers.
soldi70 [24.7K]
Let the numbers be x and y; x being the larger number and y being the smaller.

Given,
 
x + y = 2* (x - y)

x + y = 2x - 2y

x = 3y

Also given,

x = 6 + 2y

3y = 6 + 2y

--- y = 6

Thus, x = 3y = 3*6 = 18.

Therefore, the numbers are 18 and 6.
7 0
3 years ago
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