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3 years ago

Find the equation of a line that passes through the points (-2, 2) and (10,4).?

Mathematics

2 answers:

sp2606 [1]3 years ago

8 0

This is the answer to your question

Neporo4naja [7]3 years ago

3 0

Answer:

find the erea of shaded secorts in each circle 8cm

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What is the total annual dividend received from owning 50 shares of stock A, if Company A issues a $0.10 quarterly dividend to i

GrogVix [38]

Answer:

20 dollars

Step-by-step explanation:

.10 x 4 (each quareter) = .40

.40 x 50 = 20.00

= $20.00

3 0

2 years ago

Find the area of the region enclosed by the graphs of the functions

Vaselesa [24]

Answer:

$\displaystyle A = \frac{8}{21}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Functions
Function Notation
Graphing
Solving systems of equations

Calculus

Area - Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

*Note:

Remember that for the Area of a Region, it is top function minus bottom function.

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

Find where the functions intersect (x-values) to determine the bounds of integration.

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

Step 3: Find Area of Region

Integration

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx$
[Area] Rewrite [Integration Property - Subtraction]: $\displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx$
[Area] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}$
[Area] Evaluate [Integration Rule - FTC 1]: $\displaystyle A = \frac{2}{3} - \frac{2}{7}$
[Area] Subtract: $\displaystyle A = \frac{8}{21}$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

6 0

3 years ago

How many minutes would it take a car traveling at a constant speed of 40 miles per hour to go 120 miles?

laila [671]

Answer:

3 Hours = 180 Minutes

Step-by-step explanation:

Time=Distance/speed

X=120/40

X=3

60*3= 180

6 0

3 years ago

Sasha returned home from mowing lawns at 4:15 p.m. It took 3/4h to mow the first lawn. The second lawn took 1h. She took a 30-mi

tankabanditka [31]

Answer:

2:00 p.m.

Step-by-step explanation:

3/4 hour is equal to 45 minutes. Add 30 minutes to that and you have 1 hour and 15 minutes. You will then add the final hour to that to get 2 hours and 15 minutes. Subtract that from 4:15 and you get 2:00.

5 0

3 years ago

Read 2 more answers

Use the virtual models to solve 5/8 x 3

HACTEHA [7]

Answer:

5/8 x 3 = 15/8. If it needs to colour up then you to colour 15 of them.

5 0

3 years ago