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Len [333]
3 years ago
11

Write the equation in slope-intercept form for each line based on the information given.

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

Answer:

y = -1x + 6 or y = -x + 6

Step-by-step explanation:

First, let's identify what slope-intercept form is.

y = mx + b

m is the slope. b is the y-intercept.

We know the slope is -1, so m = -1. Plug this into our standard equation.

y = -1x + b

To find b, we want to plug in a value that we know is on this line: (2, 4). Plug in the x and y values into the x and y of the standard equation.

4 = -1(2) + b

To find b, multiply the slope and the input of x(2)

4 = -2 + b

Now, add 2 from both sides to isolate b.

6 = b

Plug this into your standard equation.

y = -1x + 6

This is your equation.

Check this by plugging in the point again.

y = -1x + 6

4 = -1(2) + 6

4 = -2 + 6

4 = 4

Your equation is correct.

Hope this helps!

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vovangra [49]

Answer:

C

Step-by-step explanation:

V=4 /3πr3

3000=1 1/3*3.14*r*r*r

3000=4.18666667*r*r*r

716.560509=r^{3}

Cube root the number

8.94851471456=r

TSA=4\pir^{2}

TSA=4*3.14*8.94851471456*8.94851471456

TSA=1006.26

Since we used different numbers for pi and I rounded our answer will be different but the answer is C

3 0
3 years ago
The points (4, 9) and (0, 0) fall on a particular line. What is its equation in slope-intercept form?
Nikolay [14]

Answer:

The equation of the line would be y = 4/9x

Step-by-step explanation:

In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (9 - 0)/(4 - 0)

m = 9/4

Now that we have this, we can use point-slope form along with one of the points to get the equation.

y - y1 = m(x -x1)

y - 0 = 4/9(x - 0)

y = 4/9x

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3 years ago
A block of ice has a square top and bottom and rectangular sides. At a certain point in
Lilit [14]

Answer:

\frac{dV}{dt} = 360 \ cm^3/h

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0
3 years ago
The value of a painting bought for $3,800 increases 2.6% each year. Use a graph to predict the value of the painting in 5 years.
Vinvika [58]

The value of the painting in 5 years is $4,320.36

<h3>Expoential functions</h3>

The standard exponential function is expressed as:

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Given the following

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Substitute into the formula

A = 3800(1+0.026)^5
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Hence the value of the painting in 5 years is $4,320.36

Learn more on exponential function here: brainly.com/question/12940982

5 0
2 years ago
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