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2 years ago

Name each of the points on the coordinate plane and find the distance between C and D.

Mathematics

1 answer:

kvasek [131]2 years ago

8 0

Answer:

$\displaystyle d = 7$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point C(4, -5)

Point D(-3, -5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]: $\displaystyle d = \sqrt{(-3-4)^2+(-5+5)^2}$
Subtract/Add: $\displaystyle d = \sqrt{(-7)^2+(0)^2}$
Exponents: $\displaystyle d = \sqrt{49+0}$
Add: $\displaystyle d = \sqrt{49}$
Evaluate: $\displaystyle d = 7$

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X = y 2 - 1

pochemuha

Your answer would be option B. 2y² - y - 6 = 0. This is because if you were to substitute x = y² - 1 into the equation 2x - y = 4, you would get 2(y² - 1) - y = 4, which expands into 2y² - 2 - y = 4, and then simplifies to 2y² - y - 6 = 0.
I hope this helps!

7 0

3 years ago

Read 2 more answers

two high school students are hired to rake leaves. They will work a couple hours each afternoon until the job is completed. They

Schach [20]

Answer:

x = 14 days

Step-by-step explanation:

To answer the question, find a function that represents the payment mode of plan A and an equation that represents the mode of payment of plan B.

For Plan B the payment is constant every afternoon, $ 11.5 (or 1150 cents) so the equation to represent this form of payment is as follows:

A = 1150x (with units in cents)

This equation represents the line of a line of slope 1150, which passes through point (0,0). Where x is the number of days {1, 2, 3 ....}

In form of payment B, the amount of payment is doubled each day. And the first payment is 2 cents. Therefore this model is represented by an exponential base 2 equation of the form:

$B = (2) ^ x$

Where x represents the number of days, which is always greater than 0 {1, 2, 3, 4 ...}

To know in which day the salary will be approximately the same we equate both equations and we clear x.

A = B

$1150x = (2) ^ x\\1150x- (2) ^ x = 0$

It is a somewhat difficult equation to solve, so I recommend iterating to get a value where the function approaches 0 (when this difference is zero it means that the A and B salaries are the same).

Suppose

x = 13 days

$1150(13) - (2) ^ {13} = 6758$ cents

It is not equal to 0.

Let's try with x = 15

$1150(15) - (2) ^ {15} = -15518$ cents

Then the value that makes the function zero is between x = 13 and x = 15

Let's try with x = 14

$1150(14) - (2) ^ {14} = -284$ cents = 2.84 $ difference. X = 14 is the whole number where functions A and B are closer together (the salary is approximately the same). Therefore the answer is

x = 14 days

4 0

3 years ago

Solve: |x+2|=3 Can someone explain how to do this

katovenus [111]

Hey there!

ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3

SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
x = 1

Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
x = -5

Thus, your answer is: x = -5

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

Therefore, your answer is: x = 1 or x = -5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

6 0

2 years ago

Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban

kramer

Answer:

zonas urbanas => 30 % de la poblacion => 700 millones

poblacion total => 100 % de la poblacion => x => 2333.3 millones

poblacion rural => 70% de la poblacion => x - 700 => 1633.33 millones

$x = \frac{700 \times100}{30} =2333.3$

$x-700=2333.3-700=1633.33\\$

8 0

3 years ago

Write in descending order 360t + 1013 - 12012

liubo4ka [24]

I’m pretty sure it’s the way you have it. 360t+1013-12012
if not...someone else will probably tell you the right way

5 0

3 years ago