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tester [92]
3 years ago
15

a student was given the equation x^2+6x-13=0 the next step in the students process was x^2+6x+c=13+c state the value of c that c

reates a perfect square trinomial explain how the value of c is determined
Mathematics
1 answer:
Ratling [72]3 years ago
4 0
This is the process of completing the square. 
Keep this equation in mind: ax^2+bx+c
Basically, to make this a perfect square trinomial, you take half of b and square that value. This will make it so you can compress the left side of the equation into (x+b)^2 \ or \ (x-b)^2 depending on the sign in the middle of the original equation.
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Point R(5,-3) and point N(9,-4) are on line k. What is the slope of the line passing through these points?
Aleks04 [339]
The slope of a line, denoted "m" is:

m=(y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points on the line.

m=(-4--3)/(9-5)

m=-1/4

So the slope is negative one quarter.
8 0
3 years ago
the weight of an elephant is10.3 times the weight of a cat. if the elephant weighs 14,000 pounds, how many pounds does the cat w
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6 0
3 years ago
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If there are four teams in a league, how many games will have to be played so that each team plays every other team once?
Sedaia [141]

Answer:

6 matches

Step-by-step explanation:

Let’s call the teams A B C D

A will play B C D = 3 matches

B will play only C and D as it already played A, making 2 matches

C will play D, making 1 match

D has already played all

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3 0
3 years ago
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xz_007 [3.2K]
The answer should be 80.5
7 0
2 years ago
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A line is drawn so that it passes through the points (-3, -1) and (4, 2).
marishachu [46]

Answer:

(A) \boxed{\bold{y=\frac{3}{7}x+\frac{2}{7}}}

(B) \boxed{\bold{2 \ = \ \frac{3}{7} * \ 4 \ + \ \frac{2}{7}  }}

Explanation:

(A) Slope: y = mx + b

m = 3/7

b = 2/7

Slope = \bold{\frac{y_2-y_1}{x_2-x_1}}

\bold{\left(x_1,\:y_1\right)=\left(-3,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:2\right)}

M = \bold{\frac{2-\left(-1\right)}{4-\left(-3\right)}: \ \frac{3}{7} }

Y intercept

\bold{y=\frac{3}{7}x+b}

Plug in \bold{\left(-3,\:-1\right)\mathrm{:\:}\quad \:x=-3,\:y=-1}

\bold{-1=\frac{3}{7}\left(-3\right)+b}

Isolate B

\bold{-1=\frac{3}{7}\left(-3\right)+b}

b = \bold{\frac{2}{7} }

(B) 4 = x, 2 = y

2 = 3/7 * 4 + 2/7

5 0
3 years ago
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