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IrinaVladis [17]
3 years ago
9

Find an equation for the line that passes through the points (-2,-6) and (6,-4)

Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0
Slope of line
m= (y2-y1)/(x2-x1)
=(-4--6)/(6--2)
=2/8
=1/4

Line in two point form
(y-y1)=m(x-x1)
y--2=(1/4)(x-6)
y+2=(1/4)(x-6)
simplify
4(y+2)=x-6 =>
x-4y-14=0
Alternatively, use the slope intercept form:
y--2=(1/4)(x-6) =>
y=(1/4)x - 3/2-2 =>
y=(1/4)x -7/2

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Which statement is true of the function f(x) = -3 squared root x
grigory [225]

Using translation concepts, it is found that the function f(x) = -3\sqrt{x} is the function g(x) = \sqrt{x} reflected over the x-axis and vertically stretched by a factor of 3.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, from g(x) = \sqrt{3} to f(x) = -3\sqrt{x}, g(x) was multiplied by -3, that is, it was reflected over the x-axis(due to the multiplication by the negative number) and vertically stretched by a factor of 3.

More can be learned about translation concepts at brainly.com/question/27948675

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6 0
2 years ago
From an 8- foot board, a carpenter sawed off one piece that was 2 3/4 feet long and another piece that was 3 1/2 feet long. How
alexdok [17]

Answer:

1 3/4 or 1.75

Step-by-step explanation:

An easy way to do this is to convert to decimals

1/4 = 0.25

2/4 = 0.5

3/4 = 0.75

Now, for the numbers for this problem.

2 3/4 would be equal to 2.75

3 1/2 would be equal to 3.5

Add those two numbers together and you get 6.25

Subtract that from 8 and you get 1.75 or 1 3/4

3 0
3 years ago
Given the following system of equations:
Artemon [7]

Answer: Divide the first equation, −4x + 8y = 16, by 2

Step-by-step explanation:

3 0
3 years ago
How many three-digit positive integers have three different digits and at least one prime digit?
Blababa [14]

The number of three-digit positive integers that have three different digits and at least one prime digit are 7960.

The only two components in prime numbers are 1 and the number itself.

Any whole number greater than one is a prime number.

It has exactly two factors—1 and the actual number.

There is just one 2-digit even prime number.

Every pair of prime numbers is always a co-prime.

The product of prime numbers can be used to represent any number.

Three-digit positive integers that have three different digits and at least one prime digit = 3!*4!*10*9 = 7960

Learn more about prime numbers here:

brainly.com/question/145452

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6 0
2 years ago
Order these from least to greatest:<br><br> |–15|, |4|, –|15|, |–5|
Alenkinab [10]

-/15/, /4/, /-5/,/ -15/

6 0
3 years ago
Read 2 more answers
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