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soldi70 [24.7K]
3 years ago
7

Find the equation of the line.​

Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Answer:

y=4x + 7

Step-by-step explanation:

Line=y=ax+b

b = where the line crosses the y-axis (where x=0). Here, it's 7.

a= vertical distance ÷ horizontal distance.

You can take any pair of distances to a point on the line, for example (4,1) is easy to read in the graph.

x=0 to 1 (horizontal distance=1-0=1)

and

y= 0 to 4 (vertical distance= 4-0=4)

a=4÷1=4.

So, the answer is y=4x + 7 as a= 4 and b=7.

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A pulley is used to pull a boat to the dock. The rope is attached to the boat 7 feet below the level of the pulley. What is the
Svetradugi [14.3K]

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}

7 0
2 years ago
How does the graph of g(x) = (x - 3)^3 + 4 compare to the parent function f(x)=x^3 ?​
masha68 [24]

Answer:

f(x) has moved:

4 units in the positive y direction i.e upwards

3 units in the positive x direction

Step-by-step explanation:

to get g(x), f(x) has undergone the following transformations

f(x) = x³

f1(x) = x³ + 4      (translation of 4 units in the positive y direction i.e upwards)

f2(x) = g(x)  = (x-3)³ + 4 (translation of 3 units in the positive x direction i.e towards the right)

7 0
3 years ago
Read 2 more answers
Factoring Trinomials
alexandr402 [8]
25 a² + 20 ab +  4 b²

for formula a^x+bx^ky^k+cy ^{2k } find  u,v such that: u.v = a

and u+v = b  then  group according to (ax ^{2k} +ux^ky^k)+(vx^ky^k+cy ^{2k} )

= (25a^2+10ab)+(10ab+4b^2)

factor out 5a from : 25a^2+10ab : 5a(2b+5a)

factor out 2b from : 10ab+4b^2: 2b(2b+5a)

= 5a(2b+5a) + 2b(2b+5a)

factor out : (5a+2b)

= (5a+2b)(5a+2b)

Refine:

(2b+5a)^2

hope this helps!.


3 0
3 years ago
The following quote is from a paper on the weight of the bottle as a possible extrinsic cue with which to estimate the price (an
yuradex [85]

Answer:

1. a. Weak

2. r^2=0.0169

The variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%.

Step-by-step explanation:

The correlation between the weight of the wine bottles and the price of the wine is r=0.13.

The values for r goes from r=-1, where a perfect negative correlation to r=1 for a perfect positive correlation. The value r=0 indicates no correlation at all.

Then, a value of r close to 0 indicates very weak correlation between the two variables.

The value for r^2 in this case is:

r^2=0.13^2=0.0169

The value of r2 can be interpreted as the proportion of the variation in the dependant variable explained by the independent vairable. In this case, the variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%, which is very close to 0.

8 0
3 years ago
Which of these is an equivalent expression for X ^-3 that uses positive exponents
qaws [65]
X^-3 = 1/(x³)

............,.......
5 0
3 years ago
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