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2 years ago

Use the “complete the square” method to rewrite the equation ax 2 + bx + c = 0 in the form ( x – p ) 2 = q .

2 answers:

5 0

X^2 + (b/a)x + c/a = 0
x^2 + (b/a)x + c/a = 0
x^2 + 2(b/a)x + c/a - b/a = 0
x^2 + 2(b/a)x = b/a - c/a
x^2 + 2(b/a)x + (b/a)^2 = b/a - c/a + (b/a)^2
(x + b/a)^2 = b/a - c/a + (b/a)^2
p = -b/a
q = b/a - c/a + (b/a)^2

mel-nik [20]2 years ago

3 0

Ax2 + bx + c = 0 = a(x+d)^2 + e = 0

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I need help on this

sdas [7]

Answer:

Step-by-step explanation:

yes

8 0

2 years ago

I need some help... HOW DO I DO THISSSS. NOT ASKING YOU TO DO IT JUST HELP ME

torisob [31]

so obviously first of all find three sherical objects or balls of varioius sizes to make it easier get a large medium and small sized.

then on scratch paper sketch those objects (im assuming by the looks of it you would trace them if not just draw them then take measuring tape or a ruler across to measure said object) now you arent told what units to measure in but id assume to stick with one unit either inches or cm

mesure the length across which is the circumference

now you would just have to do your calculations by finding the radius and volume and surface area

remember volume is (*units) cubed and suface area is (*units) sqared

6 0

2 years ago

Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connec

leonid [27]

The expression for the number of segments drawn out of the n number of points in the circle is,
n² / 2 - n / 2
Substituting directly to the expression the number of points, n, which is equal to 8,
8² / 2 - 8 / 2 = 28
Thus, there are 28 segments that can be drawn from the points.

5 0

2 years ago

Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?

Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

M=(-1,-1) ----- Missing part of question

Required

Determine the coordinates of D

Let the coordinates of D be (x₂,y₂)

We'll solve this question using mid point formula;

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where

$C(x_1,y_1) = (2,7)$ and $M(x,y) = (-1,-1)$

Put these values in the formula

$(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})$

By comparison;

$-1 = \frac{2+x_2}{2}$ and $-1 = \frac{7+y_2}{2}$

$-1 = \frac{2+x_2}{2}$

Multiply both sides by 2

$-2 = 2 + x_2$

Subtract 2 from both sides

$-2 -2 = x_2$

$x_2 = -4$

$-1 = \frac{7+y_2}{2}$

Multiply both sides by 2

$-2 = 7 + y_2$

Subtract 7 from both sides

$-2 - 7 = y_2$

$y_2 = -9$

Hence, the coordinates of D is (-4,-9)

4 0

2 years ago

Arrange these functions from the greatest to the least value based on the average rate of change in the specific interval

oee [108]

The average r. of c. of a function f(x) on an interval [a,b] is:

f(b) - f(a)
--------------
b-a

You'll need to apply this to all four of the given functions.

First function: f(x) = x^2 + 3x
a= -2; b= 3

Then the ave. r. of c. for this function on this interval is:

18 - (-2) 20
------------------ = ---------- = 4. y increases by 4 for every unit increase in x.
3-(-2) 5

Do the same thing for the other 3 functions.

Then arrange your four results in descending order (greatest to least).

5 0

2 years ago