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notsponge [240]
2 years ago
6

In point slope form: passes through (-2,-1), slope = 4?​

Mathematics
1 answer:
Anastasy [175]2 years ago
3 0

Answer:

y+1= 4(x+2)

You could also do: y - -1= 4(x- -2)  

They are the same so it shouldnt matter

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suter [353]

Thanks again you are VERY sweet and kind!

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3 years ago
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A line passes through the points (1.4) and (2, 2). What is the equation of this line?
emmasim [6.3K]

Answer:

y = - 2x + 6

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 )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ )  = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

m = \frac{2-4}{2-1} = \frac{-2}{1} = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line

3 0
2 years ago
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Which graph shows the same end behavior as the graph of f(x) = 2x6 - 2x2 - 5?
aleksandrvk [35]

Step-by-step explanation:

End behavior of a polynomial function is the behavior of the graph of f(x) as x tends towards infinity in the positive or negative sense.

  Given function:

            f(x)  = 2x⁶   -    2x²   -  5

To find the end behavior of a function:

  • Find the degree of the function. it is the highest power of the variable.

  Here the highest power is 6

  • Find the value of the leading coefficient. It is the number before the variable with the highest power.

   Here it is  +2

We observe that the degree of the function is even

         Also the leading coefficient is positive.

For even degree and positive leading coefficient, the end behavior of a graph is:

x → ∞ , f(x) = +∞

x → -∞ , f(x) = +∞

The graph is similar to the attached image

Learn more:

End behavior brainly.com/question/3097531

#learnwithBrainly

6 0
3 years ago
A semicircle has the radius of 2 4/5. What is its area? leave your answers in term of π
Ratling [72]

Answer:

11\dfrac{13}{25}\pi

Step-by-step explanation:

r = Radius of semicircle = 2\dfrac{4}{5}=\dfrac{24}{5}\ \text{units}

Area of semicircle is given by

A=\dfrac{\pi r^2}{2}\\\Rightarrow A=\dfrac{\pi \left(\dfrac{24}{5}\right)^2}{2}\\\Rightarrow A=\dfrac{288}{25}\pi=11\dfrac{13}{25}\pi\ \text{sq. units}

The area of the semicircle is 11\dfrac{13}{25}\pi\ \text{sq. units}.

4 0
3 years ago
Someone help me pls <br><br>47 as the sum of ______
Elanso [62]

9514 1404 393

Answer:

  (a) 6² +3² +1² +1² = 47

  (b) 5² +4² +2² +1² +1² = 47

  (c) 3³ +4² +2² = 47

Step-by-step explanation:

It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.

The approach where a cube is required can work the same way.

(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1

__

(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...

__

(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2

3 0
3 years ago
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