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2 years ago

What is the area PLEASE HELP!! :/

Mathematics

1 answer:

UkoKoshka [18]2 years ago

4 0

Answer:

15 square meters

Step-by-step explanation:

when it says find the area you have to add all the lengths together

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PLEASE HELP NOW! (-2, -4) and (-3, -3) in a linear equation

chubhunter [2.5K]

The linear equation is y = -x - 6

Step-by-step explanation:

To form a linear equation from two points lie on the line which the equation represented it

Find the slope of the line by using the formula $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Then use the slope-intercept form of the equation y = m x + b
To find the value of b substitute x and y of the equation by the coordinates of one of the two given points

∵ Points (-2 , -4) and (-3 , -3) lie on the line

∴ $x_{1}$ = -2 and $x_{2}$ = -3

∴ $y_{1}$ = -4 and $y_{2}$ = -3

- Substitute these values in the formula of the slope

∵ $m=\frac{-3-(-4)}{-3-(-2)}=\frac{-3+4}{-3+2}=\frac{1}{-1}$

∴ m = -1

∵ The form of the equation is y = m x + b

∵ m = -1

∴ y = (-1) x + b

∴ y = -x + b

To find b substitute x and y in the equation by the coordinates of

point (-2 , -4) OR (-3 , -3)

∵ x = -3 and y = -3

∴ -3 = -(-3) + b

∴ -3 = 3 + b

- Subtract 3 from both sides

∴ -6 = b

∴ The equation is y = -x + (-6)

∴ y = -x - 6

The linear equation is y = -x - 6

Learn more:

You can learn more about linear equation in brainly.com/question/4326955

#LearnwithBrainly

4 0

3 years ago

Elsa took out a 2-year loan to buy a car at 6% simple interest rate if she had to pay264 in interest how much principal did she

mina [271]

I = p * r * t
264 = p * .06 * 2
264 = .12p
Divide both sides by .12
p = $2200

5 0

3 years ago

What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)

zzz [600]

Answer:

B) 4√2

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Parametric Differentiation

Integration

Integrals
Definite Integrals
Integration Constant C

Arc Length Formula [Parametric]: $\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.$

Interval [0, π]

Step 2: Find Arc Length

[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: $\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.$
Substitute in variables [Arc Length Formula - Parametric]: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx$
[Integrand] Simplify: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx$
[Integral] Evaluate: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}$