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GuDViN [60]
2 years ago
11

What is the slope of the line that passes through the points (8,-6) and (11,-12)? write the answer in simplest form.​

Mathematics
1 answer:
Hatshy [7]2 years ago
8 0

Answer:

y = -2x + 10

Step-by-step explanation:

The equation is y = mx + b

1. Find the slope first.

--> (y2 - y1) / (x2 - x1) = slope

--> (-12 - -6) / (11 - 8) = (-6) / (3) = -2

2. Then, find the y-intercept (b) by plugging one of the points

--> y = -2x + b

--> -6 = -2(8) + b

--> -6 = -16 + b

--> b = 10

3. Combine

--> y = -2x + 10

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Hoochie [10]

Answer:

f(x-3)= x^2 -11x +24

Step-by-step explanation:

We want to find an equivalent expression for f(x-3)

To do this, we can simply substitute every 'x' variable in f(x) by 'x-3'

Therefore f(x-3)= (x-3)^2 -5*(x-3)

Lets re arrange the expression by grouping terms.

f(x-3)=x^2 - 6x +9 -5x + 15

f(x-3)= x^2 -11x +24

3 0
3 years ago
Examine the following graph of y=−3x+7.
likoan [24]
Y=7
X=-3
The following graph
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3 years ago
The world's tallest building is the Burj Khalifa in Dubai at 828 m tall. The CN Tower in Toronto is 553 m tall. Ryan wants to co
Taya2010 [7]

Answer:

Volume of Burj Khalifa Prism = 4000 cm^2

Volume of CN Tower Prism = 2671 cm^2

Step-by-step explanation:

Given

Height of Burj Khalifa = 828 m

Height of CN Tower in Toronto = 553 m

Base of rectangular prism is a square with sides <em>10 cm </em>\times<em> 10 cm</em>.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

\Rightarrow 553 m is represented as \frac{40}{828 } \times 553 = 26.71\ cm

So, height of rectangular prism of CN Tower = 26.71 cm

Volume of a Prism is given by the Formula:

V=Area\ of\ Base \times Height

Base is a square, so Area of base = Side^2

Volume of Burj Khalifa Prism:

V_B=10^2 \times 40 = 4000\ cm^2

Volume of CN Tower Prism:

V_C=10^2 \times 26.71 = 2671\ cm^2

So, the answer is:

Volume of Burj Khalifa Prism = <em>4000</em> cm^2

Volume of CN Tower Prism = <em>2671 </em>cm^2

4 0
2 years ago
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each.
Taya2010 [7]

Answer:

10x+12y=300

Step-by-step explanation:

3 0
3 years ago
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Solve y = x^2 +11 <br> for x.
lisabon 2012 [21]

Answer:

x = ± \sqrt{y-11}

Step-by-step explanation:

Given

y = x² + 11 ( subtract 11 from both sides )

y - 11 = x² ( take the square root of both sides )

± \sqrt{y-11} = \sqrt{x^2}, hence

x = ± \sqrt{y-11}

7 0
3 years ago
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