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4 years ago

What is the slope of the two given data points below? (7, 10) (12,25)

Mathematics

1 answer:

hoa [83]4 years ago

8 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{3}}}}}$

Step-by-step explanation:

Let the points be A and B

Let A ( 7 , 10 ) be ( x₁ , y₁ ) and B ( 12 , 25 ) be ( x₂ , y₂ )

Finding the slope

$\boxed{ \sf{slope \: = \: \frac{y2 - y1}{x2 - x1} }}$

$\longrightarrow{ \sf{slope = \frac{25 - 10}{12 - 7} }}$

$\longrightarrow{ \sf{slope = \frac{15}{5} \: }}$

$\longrightarrow{ \sf{slope = 3}}$

Hope I helped!

Best regards! :D

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Llana ran 2 laps around the field in 8 minutes. what was he average speed

son4ous [18]

Answer: 1 Lap Per Every 4 Minutes Is Her Average Speed.

Step-by-step explanation: To find her average speed, simply divide 8 by 2 which is 4.

8/2 = 4 minutes per lap.

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4 years ago

Angle is in standard position and (-5, -7) is a point on the terminal side of 0.

vfiekz [6]

Answer:

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Don't use 0 as a substitute for θ. 0 is always 0.

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3 years ago

Evaluate triple integral ∫ ∫ ∫ 8xydV, where E lies under the plane z = 1+x+y and above the E region in the xy-plane bounded by t

vazorg [7]

Answer:

$\mathbf{=\dfrac{163.384}{15}}$

Step-by-step explanation:

$\int \int \limits_{E} \int \ 8 xy dV = \int\limits^{1}_{0} \int\limits^{\sqrt{x}}_{0} \int\limits^{1+x+y}_{0} \ 8xy dz dydx$

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$= \int\limits^{1}_{0} \int\limits^{\sqrt{x}}_{0} 8xy (1+x+y) dy dx$

$= \int\limits^{1}_{0} \int\limits^{\sqrt{x}}_{0} 8xy+8x^2y+8xy^2 \ \ dy dx$

$= \int\limits^{1}_{0} \ [ 4xy^2+4x^2y^2+2.7xy^3]^{ y= \sqrt{x}}_{y-0} \ \ dx$

$= \int\limits^{1}_{0} \ 4x (\sqrt{x})^2+4x^2(\sqrt{x})^2+2.7x(\sqrt{x})^3\ \ dx$

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4 years ago

At school athletic events you can buy 3 drinks and 2 hot dogs for $4.80 or you can buy 1 drink and 1 hot dog for $2.00. How much

mariarad [96]

Let the cost of each drink is $x and the cost of each hot dog is $y.
According to the given data, 3 drinks and 2 hot dogs cost $4.80. In equation form, we can write it as:

$3x+2y=4.80$

1 drink and 1 hot dog costs $2.00. In equation form, we can write it as:

$x+y=2$
$x=2-y$

Using this value of x in first equation, we get:

$3(2-y)+2y=4.80 \\ 
6-3y+2y=4.80 \\ 
6-y=4.80 \\ 
y=6-4.80 \\ 
y= 1.20$

Thus the cost of one hot dog is $1.20

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Nataly_w [17]

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4 years ago

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