2 years ago

Describe the slope of the graph?

Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

5 0

Attach an image of the line on a Cartesian plane for us to help you

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An equation that represents the path of a diver jumping off a diving board is y = –7x2 + 5x + 16. Graph this function from the p

ANTONII [103]

Answer:

See explanation

Step-by-step explanation:

An equation that represents the path of a diver jumping off a diving board is

$y = -7x^2 + 5x + 16.$

The diver jumped to the water when x = 0.

Then

$y=-7\cdot 0^2+5\cdot 0+16=16$

The jumper reached the water when y = 0, then

$-7x^2+5x+16=0\\ \\D=5^2-4\cdot (-7)\cdot 16=25+448=473\\ \\x_{1,2}=\dfrac{-5\pm\sqrt{473}}{-14}$

So, point where the jumper reached the water is

$\left(\dfrac{5+\sqrt{473}}{14},0\right)\approx (1.93,0)$

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3 years ago

I have to pack 296 apples into 8 boxes. How many apples will there be in a box if each box contains the same number of apples

kirill115 [55]

Answer:

Step-by-step explanation:

296÷8=37

Hope this helps! :)

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2 years ago

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List formulas for: Area of a triangle

Ede4ka [16]

The formula for the area of a triangle is the base times the height, divided by 2. Or in simple forms, bh/2

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3 years ago

Simplify 6^3/6^2<br> A. 6<br> B. 1 1/2<br> C. 18<br> D. 256

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The answer would be (A) 6

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3 years ago

The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction

ExtremeBDS [4]

Answer: Third option.

Step-by-step explanation:

By definition, the slope of a line can be calculated with the following formula:

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

Since you need to solve for $y_2$ to find an equivalent expression, you can apply these steps:

1. You must multiply both sides of the equation by $(x_2-x_1)$ :

$m(x_2-x_1})=(\frac{y_2-y_1}{x_2-x_1})(x_2-x_1})\\\\m(x_2-x_1})=y_2-y_1$

2. Finally, you must add $y_1$ to both sides of the equation:

$m(x_2-x_1})+y_1=y_2-y_1+y_1\\\\y_2=m(x_2-x_1})+y_1$

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3 years ago

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