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3 years ago

Complete the Square: x^2-3x=-12x^2+7x=-6x^2+10x=-8

Mathematics

1 answer:

fredd [130]3 years ago

6 0

1. (x-1.5x)^2 - 1.25
2. (x+1.75)^2+ 2.5
3. (x+5)^2 - 2

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A(n) _____ is a line drawn from one part of a circle's circumference to another without passing through the center.

Artemon [7]

Answer:

chord

Step-by-step explanation:

a chord is a line drawn from one part of a circle's circumference to another without passing through the centre.

If the line passed through the centre then it would be a diameter

7 0

2 years ago

Given that x overbarequals3.6667, s Subscript xequals2.0656, y overbarequals4.2167, s Subscript yequals1.5613, and requalsne

Shtirlitz [24]

Answer:

$y = 0.7063x+2.7790$

Step-by-step explanation:

Given that

$x bar = 3.6667\\s_x= 2.0656\\y bar = 4.2167\\s_7 = 1.5613\\r = -0.9344$

We have slope of linear regression line is

$a=r*\frac{s_y}{s_x} =0.9344(\frac{1.5613}{2.0656} )\\=0.7063$

So regression line would be of the form

$y-4.2167 = 0.7063(x-2.0656)$ (since it passes through xbar, y bar)

$y = 0.7063x+2.7790$

is the equation of regression line.

6 0

3 years ago

What is three fourths divided by eight thirdteenths?

xz_007 [3.2K]

$\frac{3}{4} , \frac{8}{13}$ is $\frac{39}{32}$

$\frac{3}{4} * \frac{13}{8} = ?$ , multiple by the reciprocal of the second fraction to get the answer.

3 0

3 years ago

HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of t

ohaa [14]

We need the perimeter of the window for framing

The window is in the shape of a rectangle with the height of $9 \frac{1}{3}$ feet and width of $6 \frac{3}{4}$ . The diagram of the shape is shown below

The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.

The perimeter of the window is $9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4}$ = $18 \frac{2}{3}+12 \frac{6}{4}$

We have two whole numbers 18 and 12 and two fractions $\frac{2}{3}$ and $\frac{6}{4}$

Adding the two fractions that have different denominator
$\frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12}$ , which is an improper fraction which we can change into a mixed number $2 \frac{1}{6}$

So the perimeter of the window is
$18+12+2 \frac{1}{6} =32 \frac{1}{6}$

and the length of wood needed for the frame is $32 \frac{1}{6}$ feet

4 0

3 years ago

What is the slope of the line that passes through the points (-10, 9) and (-12, 7)

Iteru [2.4K]

$\text{Given that,}~~\\\\(x_1, y_1) = (-10,9)~~\text{and}~~ (x_2,y_2) = (-12,7)\\\\\\\text{Slope,}~~ m = \dfrac{y_2 - y_1}{x_2 -x_1}= \dfrac{7-9}{-12+10} =\dfrac{-2}{-2} = 1$

6 0

2 years ago