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3 years ago

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A farmer has a rectangular field which measures 100 feet for the length and w feet for the width. If the perimeter is the sum of

all four sides of the field, what is an expression for the perimeter of the field? Simplify.

1 answer:

Yuri [45]3 years ago

7 0

Perimeter = 2(L+W)=2(100+w)=200+2w

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Find x and y, given that KL and line MN are parallel. Show all work

Setler [38]

$\dfrac{|MN|}{|NJ|}=\dfrac{|KL|}{|LJ|}\\\\\dfrac{22}{12+8}=\dfrac{y}{8}\\\\\dfrac{22}{20}=\dfrac{y}{8}\ \ \ |cross\ multiply\\\\20y=22\cdot8\\\\20y=176\ \ \ |:20\\\\\boxed{y=8.8}$

$\dfrac{|MK|}{|KJ|}=\dfrac{|NL|}{|LJ|}\\\\\dfrac{x-2}{5}=\dfrac{12}{8}\ \ \ \ |cross\ multiply\\\\8(x-2)=5\cdot12\\\\8x-16=60\ \ \ |+16\\\\8x=76\ \ \ |:8\\\\\boxed{x=9.5}$

4 0

3 years ago

Read 2 more answers

What is 700÷80 and with the remainder thanks

Viefleur [7K]

Answer:

640 R = 60

Explain Your Answer:

7 0

3 years ago

In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .

IgorLugansk [536]

<h2>1. y-intercept</h2>

$\boxed{(0,-10)}$

The quadratic function $f(x)=2x^22-8x-10$ represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set $x=0$ as follows:

$f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)$

<h2>2. x-intercepts</h2>

$\boxed{(-1,0) \ and \ (5,0)}$

To find the other x-intercept, we must set $y=0$ as follows:

$f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5$

Therefore, the other x-intercept is $(5,0)$ . You can see both the y-intercept and the x-intercepts in the figure below.

8 0

3 years ago

How many times smaller is 2 × 10^-10 than 4 × 10^-5

natta225 [31]

Answer:

200,000

Step-by-step explanation:

To find how many times smaller is smaller number than greater number, divide greater number by smaller number.

Greater number $=4\times 10^{-5}$

Smaller number $=2\times 10^{-10}$

Then

$\dfrac{\text{Greater number}}{\text{Smaller number}}\\ \\=\dfrac{4\times 10^{-5}}{2\times 10^{-10}}\\ \\=\dfrac{4}{2}\times \dfrac{10^{-5}}{10^{-10}}\\ \\=2\times \dfrac{1}{10^{-5}}\\ \\=2\times 10^5\\ \\=2\times 100,000\\ \\=200,000$

7 0

3 years ago

You discovered you can deduct medical expenses over 6% of your income. Your income is $42,000 and you had medical expenses of $5

iren2701 [21]

No portion of your medical expenses you can deduct

Step-by-step explanation:

You discovered you can deduct medical expenses over 6% of

your income

Your income is $42,000

You had medical expenses of $567

We need to find the portion of your medical expenses you can deduct

∵ Your income = $42,000

∵ You can deduct medical expenses over 6% of your income

- Find the 6% for your income

∵ 6% of the income = $\frac{6}{100}$ × 42,000 = $2520

∴ 6% of your income is $2520

∵ You can deduct medical expenses over 6% of your income

∴ If your medical expenses greater than $2520, then you can

deduct the value greater than it, but if your medical expenses

smaller than $2520, then you can not deduct any value

∵ You had medical expenses of $567

∵ $567 < $2520

∴ There is no value you can deduct from your medical expenses

No portion of your medical expenses you can deduct

Learn more:

You can learn more about percentage in brainly.com/question/12960754

#LearnwithBrainly

4 0

3 years ago