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3 years ago

Can you find the distance using the graph?

Mathematics

2 answers:

iragen [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Dmitrij [34]3 years ago

4 0

Answer: The line is $\sqrt{65}$ units long.

Step-by-step explanation:

You can find the distance using the Pythagorean theorem.

The line travels 8 units across and 1 down. These are the "sides" of the triangle, and we can treat the line given as the hypotenuse of the triangle.

$a^2 + b^2 = c^2\\\\1^2 + 8^2 = c^2\\\\1 + 64 = c^2\\\\c = \sqrt{65}$

The line is $\sqrt{65}$ units long.

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Which description is correct for the polynomial 2x² + 2?

Blizzard [7]

Answer:

The polynomial is a quadratic binomial

Step-by-step explanation:

we have

$2x^{2}+2$

Classify the polynomial

<u>By the number of terms</u>

we know that

A polynomial with two terms is a binomial

<u>By the Degree of a Polynomial</u>

we know that

The degree of a polynomial is calculated by finding the largest exponent in the polynomial

In the given problem the largest exponent is $2$

Is a quadratic equation

therefore

The polynomial is a quadratic binomial

6 0

3 years ago

Read 2 more answers

A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng

tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, $xy \leq 8000$

So, $x(220-x) \leq 8000$

$220x-x^2 \leq 8000$

So, $220x-x^2 = 8000\\-x^2+220x-8000=0$

General quadratic equation : $ax^2+bx+c=0$

Formula : $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031$

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0

3 years ago

John plans to practice piano at least 2 1 2 212 hours this weekend. If he practices 1 1 6 116 hours on Saturday and 1 1 4 114 ho

Irina18 [472]

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2 years ago

1. To determine simple interest, we use the formula i=prt where i is the interest, p is the principal or initial amount, r is th

Andrews [41]

Step-by-step explanation:

To determine simple interest, we use the formula

$I=Prt$

where I is the interest, p is the principal or initial amount, r is the interest rate is in the unit of years and t is the time in years

When the times is 3 years , then we plug in 3 for 't' directly

$I=Pr(3)\\$

we know that 1 year = 12 months

Suppose, the time is given in months then we divide time 't' by 12

When the times is 4 months , then we plug in 4 for 't' and divide by 12

$I=\frac{Pr(4)}{12}$

we know that 1 year = 365 days

Suppose, the time is given in days then we divide time 't' by 365

When the times is 45 days , then we plug in 45 for 't' and divide by 365

$I=\frac{Pr(45)}{365}$

5 0

3 years ago

I kinda forgot my fractions. Anybody nice to help? 17/21 - 1/7. Answer in simplest form. Thanks!

jeka94

Answer:

2/3

Step-by-step explanation:

17/21-1/7

17/21-3/21

14/21=2/3

6 0

2 years ago