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Bess [88]
3 years ago
5

What is the slope of a line that passes through the points (2.7, 1.4) and (2.4, 1.7)

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Answer:

-1

Step-by-step explanation:

1.7 - 1.4 = .3

2.4 - 2.7 = -0.3

.3/-.3 = -1

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Error Analysis
aleksklad [387]

The coefficient(s) of the expression is/are 7, 1

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The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

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6 0
3 years ago
If x2 = 30, what is the value of x?<br> +60<br> +15<br> 130<br> O: 15
Tresset [83]

Answer:

<h2>(+)(-)√30</h2><h2>#option c</h2>

Step-by-step explanation:

<u>☆</u><u> </u><u>REFER</u><u> TO</u><u> THE</u><u> </u><u>ATTACHMENT!</u>

<h3><u>♰</u><u>H</u><u>ope </u><u>it </u><u>helps</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u></h3>

7 0
3 years ago
Dy/dx = y/x , y(1) = −2
s2008m [1.1K]

Start with

\dfrac{dy}{dx}=\dfrac{y}{x}

Separate the variables:

\dfrac{dy}{y} = \dfrac{dx}{x}

Integrate both parts:

\displaystyle \int \dfrac{dy}{y} = \int\dfrac{dx}{x}

Which implies

\log(y) = \log(x)+c

Solving for y:

y = e^{\log(x)+c} = e^{\log(x)}e^c=xe^c

Since e^c is itself a constant, let's rename it c_1.

Fix the additive constant imposing the condition:

y(1) = c_1\cdot 1 = -2\iff c_1=-2

So, the solution is

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5 0
3 years ago
Find the distance between (3,-3) and (2,7)
yarga [219]

Answer:

\sqrt{101} = D

Step-by-step explanation:

Method #1

We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:

{a}^{2} + {b}^{2} = {c}^{2}

{1}^{2} + {10}^{2} = {c}^{2}

1 + 100 = {c}^{2}

101 = {c}^{2}

\sqrt{101} = c

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

_______________________________________________

Method #2

Or, we can use the Distance Formula:

\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D

[2, 7] [3, −3]

\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D

\sqrt{[-1]^{2} + 10^{2}} = D

\sqrt{1 + 100} = D

\sqrt{101} = D

** You see? It does not matter which method you choose, as long as you are doing the work correctly.

I am delighted to assist you anytime.

5 0
3 years ago
G a spherical tank has a capacity of 300 gallons. using the fact that 1 gallon is about 0.1337 ft3, find the radius of the tank
Paladinen [302]
Volume of a sphere is  V=(4/3)pi r^3
300(.1337)=(4/3)pi r^3
solve for r
r= 2.12 ft
5 0
4 years ago
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