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Katena32 [7]
3 years ago
13

Find the slope of the points (5,-6) and (-1, 7).

Mathematics
2 answers:
fomenos3 years ago
7 0
M = 13 / -6 = -2.16667 your answer should be -2.16
wolverine [178]3 years ago
4 0

Answer:

-\frac{13}{6}

Step-by-step explanation:

To find the slope between two points, we can use the slope formula. The slope formula is:

m=\frac{y_2-y_1}{x_2-x_1}

where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.

Plugging in (-1, 7) and (5, -6) for (x₁, y₁) and (x₂, y₂) respectively, we get:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-6-7}{5-(-1)}=\frac{-13}{6}=-\frac{13}{6}

So the slope between the two points would be -\frac{13}{6}.

I hope this helps. Happy studying.

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Create a list of steps in order that will solve the following equation <br>(x-5)^2=2<br><br>​
artcher [175]

Answer:

Step-by-step explanation

Take the square root of both sides.

Add both sides by 5

4 0
3 years ago
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line? Help me please
joja [24]

Step-by-step explanation:

If it's a straight line the use formula

y = mx + c

m= gradient of line

c = y-intercept

we know that y-intercept is 4 so coordinate is

(0,4)

Equation also passes (2,10)

Use both coordinate to find gradient

m= vertical distance / horizontal distance

= (10-4) / (2-0)

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3 years ago
A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet
Natali5045456 [20]

Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

t\approx 0.1s

Step-by-step explanation:

From the question we are told that

Initial velocity  V_0= 18 ft/s

Initial Height    h_1=5feet

Final Height     h_2=4feet

Generally the Newtons equation for motion is mathematically given by

   V^2 = U^2 + 2as

Where

    s=h_2-h_1\\s=4-5\\s=-1ft

And

   a=g=>9.81\\a=32.2ft/s^2

Therefore

   V^2 = (18)^2 + 2(-32.2)(-1)

   V^2 = 388.4

   V =19.70786645\\V=19.71ft/s

Generally the equation for Time is mathematically Given as

   t=\frac{V-U}{a}

   t=\frac{19.71-18}{32.2}

   t=0.05310559006

   t\approx 0.1s

Therefore the time spent on air by the ball is

    t=0.05310559006s

4 0
3 years ago
A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
Jobisdone [24]

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

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4 0
3 years ago
A group of 4 students need to share 20 paper clips equally ?
harkovskaia [24]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
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