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Readme [11.4K]
3 years ago
10

Please write in a the folowing form

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

Answer:

10(x^2+2x+1) = 10(x+1)^2

Step-by-step explanation:

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3 years ago
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Find the equation of the straight line that passes through the points (1, 10) and (3, 2)
slava [35]

Answer:

y = -4x+14

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

m = (2-10)/(3-1)

  =-8/2

  = -4

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

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Substitute a point into the equation

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Add 4 to each side

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8 0
3 years ago
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Determine and state the vertex of f(x) = x2 - 2x - 8 using the method of completing the square
Elza [17]

Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 2x - 8

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² - 2x

f(x) = x² + 2(- 1)x + 1 - 1 - 8

     = (x - 1)² - 9 ← in vertex form

with vertex = (1, - 9 )

3 0
3 years ago
The function f(x) varies directly with x, and f(x)=12 when x=8
lozanna [386]
The answer would be d.

You can solve this by changing it up a little, such as changing it to f • x = 12
you can then divide by 8, because x = 8.
You're then left with f = 12/8 or 3/2
multiply by x again on both sides, and voila, f(x)=3/2x
6 0
4 years ago
-3x - 3y = 3, -5x + y =13<br> System of Equations
Nataliya [291]

Answer:

(\frac{-7}{3}, \frac{4}{3})

Step-by-step explanation:

Hi there!

We are given the following system of equations:

-3x-3y=3

-5x+y=13

and we need to find the solution (the point at which the 2 lines intersect)  

let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable

in the second equation, add 5x to both sides to isolate y by itself

y=5x+13

now substitute 5x+13 as y in -3x-3y=3

-3x-3(5x+13)=3

do the distributive property

-3x-15x-39=3

combine like terms

-18x-39=3

add 39 to both sides

-18x=42

divide both sides by -18

x=\frac{-7}{3}

now we need to find y

remember: y=5x+13

substitute \frac{-7}{3} as x in y=5x+13

y=5(\frac{-7}{3})+13

multiply

y=\frac{-35}{3}+13

add

y=\frac{4}{3}

So the answer is x=\frac{-7}{3}, y=\frac{4}{3}. As a point, it's (\frac{-7}{3}, \frac{4}{3})

Hope this helps! :)

4 0
4 years ago
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