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scoray [572]
2 years ago
7

If dave decides to go scuba diving for the first time. If he descends at -2 1/3 feet every second, at what depth will he be at a

fter 3 1/2 seconds.
Mathematics
1 answer:
erma4kov [3.2K]2 years ago
6 0

Answer:

-8.66666667 feet because:

Step-by-step explanation:

-2 1/3 x 3 = 7

-2 1/3 ÷ 2 = 1.66666666667

7 + 1.6666666667 = 8.66666667

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What is the slope of the line that contains the points (-1,2) and (3,3)
AlladinOne [14]

Answer:

B

Step-by-step explanation:

Hi there!

We are given the points (-1,2) and (3,3) and we need to find the slope.

The formula for slope calculated from two points is \frac{y_{2}-y_{1} }{x_{2}-x_{1}}, where (x_{1},y_{1}) and (x_{2},y_{2}) are points

since we have two points, we can substitute them into the formula, but let's label their values to avoid any confusion

x_{1}=-1

y_{1}=2

x_{2}=3

y_{2}=3

now substitute into the formula (m is the slope); remember: we have a negative number in this, so we'll be subtracting a negative.

m=\frac{3-2}{3--1}

simplify

m=\frac{3-2}{3+1}

m=\frac{1}{4}

so <u>B </u>is your answer

Hope this helps! :)

6 0
3 years ago
Line ℓ has equation y= - x+3. find the distance between ℓ and the point r(5,3). round your answer to the nearest tenth.
myrzilka [38]

y + x - 3 = 0
the the distance will be
5 \div  \sqrt{2}
7 0
4 years ago
The legs of a right triangle measure 6 meters and 8 meters. What is the length of the hypotenuse?
steposvetlana [31]
Hypotenuse=x
x2=(6)2+(8)2
x2=36+64 m2
x2=100m2
x=10 m
8 0
3 years ago
What is the area of this polygon?
Wittaler [7]

Answer:

42 i think

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
3√x -2/x^2<br><br>please show step by step of differentiation before combining the terms. ​
EastWind [94]

Answer:

Step-by-step explanation:

Before we differentiate, let us assign a variable to the function. Let y be equal to the function i.e let y = 3√x -2/x²

In differentiation if y = ax^{n}, then \frac{dy}{dx} = nax^{n-1} where n is a constant and dy/dx means we are differentiating the function y with respect to x.

Applying the formula o the question given;

y= 3\sqrt{x}  -2/x^2\\y = 3{x}^\frac{1}{2}  - 2x^{-2} \\\\

On differentiating the resulting function;

\frac{dy}{dx} = \frac{1}{2}*3x^{\frac{1}{2}-1 }   - (-2)x^{-2-1} \\\\\frac{dy}{dx} = \frac{1}{2}*3x^{-\frac{1}{2}} + 2x^{-3}\\ \\\frac{dy}{dx} = \frac{1}{2}*{\frac{3}{x^{\frac{1}{2} } }} + \frac{2}{x^{3} } \\\\\frac{dy}{dx} = {\frac{3}{2x^{\frac{1}{2} } }} + \frac{2}{x^{3} }\\\\\frac{dy}{dx} = {\frac{3}{2\sqrt{x}  }} + \frac{2}{x^{3} }

To combine the terms, we will add up by finding their LCM.

\frac{dy}{dx} = {\frac{3}{2\sqrt{x}  }} + \frac{2}{x^{3} }\\\frac{dy}{dx}  = \frac{3x^3+4\sqrt{x} }{2x^{3} \sqrt{x}}

3 0
4 years ago
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