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3 years ago

Find the slope of the line that passes through (8,9) and (5, 14).

Mathematics

1 answer:

AleksAgata [21]3 years ago

7 0

Answer:

6/-4 (right 6 points on x-axis & down 4 points on y- axis

Step-by-step explanation:

14- 8 6

---------- = ------

5-9 - 4

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One month, ruby worked 6 more hours than Issac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 126 hour

garik1379 [7]

Ruby's hours will represent x+6
Svetlana's hours will represent 4(x+6)
Issac will represent x.

The equation would read:
x+(x+6)+(4(x+6))=126
x+x+6+4x+24=126
6x+30=126
Subtract 30 from both sides.
6x=96
Divide 6 on both sides to get x by itself.
x=16

So:
Issac worked 16 hours
Ruby worked 22 hours
Svetlana worked 88 hours.

To check your answer, plug in the values:
16+22+88=126
126=126

Hope this helps.

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4 years ago

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3 years ago

Use substitution to determine the solution of the system of equations.

sineoko [7]

Answer:

Step-by-step explanation:

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3 years ago

Solve this identifying holes, vertical asymptotes, and horizontal asymptotes for

USPshnik [31]

$x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}$

$\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}$

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4 years ago

Ridley bought 3 3/4 yards of blue fabric,12 5/6 yards of red fabric,and 7 2/3 yards of purple fabric.if she paid $7.50 per yard,

Amanda [17]

The fabric cost $181.875

Step-by-step explanation:

Blue fabric bought = 3 3/4 yards , change to improper fraction (4*3)+3/4 = 15/4 yards

Red fabric= 12 5/6 yards = 77/6 yards

Purple fabric= 7 2/3 yards= 23/3 yards

Find total length of fabric bought, 15/4 +77/6 +23/3 =291/12 yards

Cost per yard= $7.50

Total cost will be, 291/12 * 7.50 =$ 181.875

Learn More

Cost : brainly.com/question/12878495

Keywords : cost, yard

#LearnwithBrainly

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3 years ago

Find the slope of the line that passes through (8,9) and (5, 14).​

Find the slope of the line that passes through (8,9) and (5, 14).