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Naddika [18.5K]

3 years ago

14

3. Determine the Area and Perimeter of the shape below. 13 5 12

2 answers:

hodyreva [135]3 years ago

7 0

Answer:

Perimeter: 30 Area: 30

Step-by-step explanation:

Perimeter of a triangle= Add all sides = 5+12+13 = 30

Area of a triangle= (B*H)/2 = (5*12)/2 = 60/2 = 30

Hope this helps! :)

BigorU [14]3 years ago

3 0

Perimeter: 30units
Area: 30units^2

Explanation: Checked with calc!

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If x + 3y = 11 and xy = 6, find the value of x²+9y

Galina-37 [17]

Answer:

$x {}^{2} + {9y}^{2} = 85$

, it's 85

Step-by-step explanation:

for explanation see the attachment.

6 0

3 years ago

A line passes through (9, –9) and (10, –5).Write an equation for the line in point-slope form.

Ket [755]

bearing in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-9)}{10-9}\implies \cfrac{-5+9}{1}\implies \cfrac{4}{1}\implies 4$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-9)=4(x-9)\implies\underline{y+9=4(x-9)} \\\\\\ y+9=4x-36\implies y=4x-45\implies \stackrel{standard~form}{\underline{-4x+y=-45}}$

quick note:

the "x" must not have a negative coefficient for the standard form, though in this case it shows like so in the inappropriate choices above.

5 0

3 years ago

You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment

Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm Time}$

or, A = 50,000 × $(1+\dfrac{\textrm 7}{100})^{\textrm 20}$

or, A = 50,000 × $(1.07)^{20}$

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ $\frac{193480}{240}$ = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

3 0

3 years ago

I require assistance with this problem.<br> Solve for X:<br> 5/10 + 1/x = 5/6

BabaBlast [244]

Answer:

x = 3

Step-by-step explanation:

Solve for x:

1/2 + 1/x = 5/6

Bring 1/2 + 1/x together using the common denominator 2 x:

(x + 2)/(2 x) = 5/6

Cross multiply:

6 (x + 2) = 10 x

Expand out terms of the left hand side:

6 x + 12 = 10 x

Subtract 10 x + 12 from both sides:

-4 x = -12

Divide both sides by -4:

Answer: x = 3

4 0

4 years ago

Read 2 more answers

Please help I’m a bit confused on this I appreciate answers!

Afina-wow [57]

Answer:

$(2x^3)^3=8\cdot x^{9}$

Step-by-step explanation:

<u>Properties of Exponents</u>

The property called Power to a Power shows us how to simplify expressions of the type:

$(x^n)^m=x^{n*m}$

Similarily the property called Power of a product simplifies expressions like:

$(x.y)^n=x^n.y^n$

The company mentioned in the question uses the expression

$(2x^3)^3$

millimeters per second to calculate the maximum capacity of a photocell with an area of x^3 square millimeters.

First, use the power of a product property:

$(2x^3)^3=2^3\cdot (x^3)^3$

Now use the power to a power property:

$(2x^3)^3=2^3\cdot x^{3*3}$

Operate:

$\mathbf{(2x^3)^3=8\cdot x^{9}}$

5 0

3 years ago