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Galina-37 [17]
3 years ago
7

What is the equation of the line that passe throught the point (4, -6) and has a slope of -3

Mathematics
2 answers:
JulijaS [17]3 years ago
7 0

Answer:

your equation should look like:

y+6= -3(x-4)

ipn [44]3 years ago
3 0

Answer:

y=-3x+6

Step-by-step explanation:

y=mx+b

y=-3x+b

shift the parent function y=-3x to where it crosses the point and the y intercept is 6. Put that into your equation for the final answer

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Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
andrey2020 [161]

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

5 0
3 years ago
You work 21.5 hours this week. You get paid $7.35 an hour. How much did you get paid?
prisoha [69]

Answer:

158.025

Step-by-step explanation:

Multiply the numbers together.

7 0
3 years ago
Read 2 more answers
True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement us
vivado [14]

Answer:

The statement is true

Step-by-step explanation:

Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)

5 0
2 years ago
To which set or sets does the number 37 belong? Explain.
docker41 [41]
37 is a whole number , interger and rational number
4 0
3 years ago
Write linear function f with the values f (0) = 6 and f(7) = 27
Bond [772]

Answer:

f(x) = 3x + 6.

Step-by-step explanation:

f(7) - f(0) = 27 - 6 = 21

so we may write a function:

f(x) = 3x + 6.

4 0
2 years ago
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