The distance between the given points is 13 units.
We have two coordinate points A(8, -4) and B(3, 8).
We have to determine the distance between these two points.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of 1st point - A(8, -4)
Coordinates of 2nd point - B(3, 8)
Using the distance formula given -
d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]
d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]
d = [tex]\sqrt{25 + 144}[/tex]
d = [tex]\sqrt{169}[/tex]
d = 13 units
Therefore, the distance between the given points is 13 units.
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What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2? (1 point) Group of answer choices 5 over 2 5 to the power of 2 over 2 2 to the power of 2 over 5 to the power of 2 5 over 2 to the power of 2
Answer:
I got the answer 5 over 2
Answer:
5/2
Step-by-step explanation: hope it helps :)
Mr. Gonzalez earns his living as a salary plus commission employee. His annual salary is $18,000. He makes 4% commission on all of his sales. Mr. Gonzalez wants to earn $60,000 this year. If his earnings are divided evenly throughout the year, how much in monthly sales would Mr. Gonzalez need to have?
Mr. Gonzalez's monthly sales must be $87,500.
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100"
For given example,
Let 's' represents the monthly sale.
So, the annual sales are 12 × s
He makes 4% commission on all of his sales.
So, the commission on (12 × s) sales would be,
= 12 × s × (4%)
= 12× s × 0.04
Mr. Gonzalez wants to earn $60,000 this year.
So, we get an equation,
⇒ 18000 + (12 × s × 0.04) = 60000
⇒ 12 × s × 0.04 = 60000 - 18000
⇒ 12 × s × 0.04 = 42000
⇒ s × 0.04 = 42000/12
⇒ s × 0.04 = 3500
⇒ s = 3500/0.04
⇒ s = 87500
Therefore, Mr. Gonzalez's monthly sales must be $87500.
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Solve the equation. -1 + x = -10 x =
Answer:
-1
Step-by-step explanation:
4/11x10/8
What is the answer
Answer:
5/11
Step-by-step explanation:
4/11 × 10/8
= 40/88
= 5/11
What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) Is the product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your answer
Answer:
(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35
The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.
Step-by-step explanation:
Product means multiplication
Product of 2x - 5 and 3x^2 + 5x - 7
(2x - 5 ) (3x^2 + 5x - 7)
= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35
Collect like terms
= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35
= 6x^3 - 5x^2 - 39x - 35
Product of 5x - 2 and 3x^2 + 5x - 7
(5x - 2) (3x^2 + 5x - 7)
= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14
Collect like terms
= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14
= 15x^3 + 19x^2 - 45x + 14
The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.
They both consist of different variables in their multiplier
Solve for the given variable 7x+5y=6 for y
Answer:
y = (6/5) - (7/5) x
Step-by-step explanation:
goal: to rearrange the equation such that it takes the form:
y = f(x) ; where f(x) is an expression in terms of x
Given:
7x+5y=6 subtract 7x from both sides
5y = 6 - 7x (divide both sides by 5)
y = (6-7x) / 5
y = (6/5) - (7/5) x
The combined height of the world's three tallest buildings is 6,360 feet. The building in Dubai is 745 feet taller than
the building in Makkah. Taipei's building is 301 feet shorter than Makkah's.
The equation (x + 745) + x + (x - 301) = 6,360 represents the scenario.
What can be determined from the given information? Check all that apply.
x represents the height of the building in Dubai.
The expression (x - 301) represents the height of the building in Taipei.
The building in Makkah is 1,972 feet tall.
The height of Dubai's building is 1,227 feet tall.
The height of Taipei's building is 1,671 feet tall.
Answer:
b , c , d
Step-by-step explanation:
Answer:
The answer is B, C, and E.
Hope this helps!!! Love you!!
Step-by-step explanation:
What is the solution to this linear system?
11+4+x=x+9. kaksjdjdbdjjdjdbdbd
Answer:
x=0.6
Step-by-step explanation:
11+4+x=x+9
15+x=x+9
15x=9x
9/9=1
9/15=0.6
x=0.6
Zack did 1/6 of his homework in 1/2 an hour. How much can he do in one hour
Answer:
1/3
Step-by-step explanation:
MONEY FOR FUN
If you earn $50,000 a year
and spend 5 percent of
that on sports and enter-
tainment, how much do
you spend per year on
sports and entertainment?
Th
Answer:
$2,500
Step-by-step explanation:
1.) 5% would be switched to decimal form which is 0.05
To do this, start with 5.
Move the the decimal point two place values to the left.
2.) Now multiply 50,000 and 0.05
3.) This equals 2,500
What is 25.894 - 12.65
Answer:
0.244
Step-by-step explanation:
Step 1:
12.894 - 12.65
Answer:
0.244
Hope This Helps :)
Answer: 13.244
Step-by-step explanation:
3z + 9 + 14z = 4x + 5
Choose 1 answer:
A.No solutions
B.Exactly one solution
C.Infinitely many solutions
2p²q³×5pq÷10p³q⁴ PLEASE SOLVE THIS EQUATION WITH WORKING. THANK YOU!
I'VE ASKED THIS ONE EARLIER BUT NOBODY ANSWERED Point D is in the interior of \small \angle ABC, \small m\angle ABC=20x-15, \small m\angle ABD=6x-5, and \small m\angle DBC=x+16. What is \small m\angle ABD? \small m\angle ABD= degrees
Answer:
7°
Step-by-step explanation:
Since, Point D is in the interior of angle ABC.
Therefore,
[tex]m\angle ABC = m\angle ABD + m\angle DBC\\
20x - 15 = 6x - 5 + x + 16\\
20x - 15 = 7x + 11\\
20x - 7x = 11+15\\
13x = 26 \\ x = \frac{26}{13} \\ x = 2 \\ \\ m\angle ABD = (6x - 5) \degree \\ m\angle ABD = (6 \times 2 - 5) \degree\\ m\angle ABD = (12 - 5) \degree \\ \huge \red{ \boxed{ m\angle ABD = 7\degree}}[/tex]
There is a 40% chance of rain on Tuesday and a 50% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?
Answer:
You will submit your completed work from the "Explore: Famous People" assignment here. Type or copy/paste your response directly into the space provided.
As a reminder, the activity instructions are included below:
Using Spanish resources, research a famous historical figure from a Spanish-speaking country. You may consider finding information on Miguel Hidalgo, Simón Bolívar, José de San Martín, Benito Juarez or Ferdinand and Isabel.
In 1-2 Spanish paragraphs, write a brief biography and then describe his/her important contributions. In addition, explain this person's significance in the country where he/she is from.
You will be graded on (1) evidence of research conducted, (2) appropriateness of response, and (3) overall quality of your response.
You may use outside sources (Internet, books, magazines, etc.) to gather information for this assignment. However, be sure not to copy the information directly from those sources. Copying information and presenting it as your own work is considered plagiarism and will result in a failing grade. You will need to rephrase the information into your own words and cite the source of the information you used.
Step-by-step explanation:
Factor completely
6х2 - 23х + 20
Answer:
The answer is (2x-5) (3x-4).
If the diameter of a circle is 18 feet, which is closest to the circumference?
A. 56 52 feet
B. 9 feet
C. 573 feet
D. 28 26 feet
Answer:
A. 56 52 feet
Step-by-step explanation:
[tex]d = 18 \: ft \\ c = \pi \: d \\ c = 3.14 \times 18 \\ c = 56.52 \: ft[/tex]
The closest to the circumference is 56 52 feet.
It is required to find the circumference.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
Given:
Diameter of a circle is 18 feet.
Radius=18/2=9 feet.
We know that
circumference of the circle= 2πr
According to given question we have,
circumference of the circle= 2πr
circumference of the circle=2 π*9
circumference of the circle=56.54 feet.
Therefore, the closest to the circumference is 56 52 feet.
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HELP MEEE OMGGGG JESSUS AMENNN
Answer:
Answers in the pics
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
Pls help me out and follow the steps
Answer:
4w + 3 = 2w + 7
-[2w] -2w
-----------------------
2w + 3 = 7
-3 -[3]
----------------------
2w = [4]
2w = 4
---- ----
2 [2]
w = [2]
n + m-a=d solve for m
HELP!!
Answer:
m = d - n + a
Step-by-step explanation:
Subtract n and add a on both sides to isolate m
What’s y-6=4(x+3) in slope intercept form?
Answer:
Step-by-step explanation:
y = 4x + 18
Cell Phone Plus and Phones R Us offer special prices for new customers. Each cell phone company’s advertisement is shown below.
Cell Phone Plus
Phones R Us
$50 Activation Fee
$15 per month
$60 Activation Fee
$10 per month
For what number of months, x, would the cost be the same?
3.16 x 10 with the power of 3
Answer:
3160
Step-by-step explanation:
3.16 x 10^3
10^3 = 1000
so you move the decimal point three times to the right
I hope this helps
Answer:
3,160
Step-by-step explanation:
This is expressed in scientific notation. Since 3 is positive, that means the number is actually larger than 3.16, not smaller.
You would take
3.1600
and move the decimal point 3 spaces to the right
31.600
316.00
3160.0
3,160 is your answer
Hope this helps :-)
Multiply (3)x(−4)x(2).
Answer:
-24x²
Step-by-step explanation:
remove the parentheses, multiply the numbers, apply exponent rule and add the numbers
Solve the following equation for b be sure to take into account whether a letter is capitalized or not f = ad
Answer:
Step-by-step explanation:
J
y = 9(x – 8)2 + 17
Standard form
Answer:
I think that the answer would be y=18x−127
Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1. Subtract 12 from both sides: −6x − 12 = −4y 2. Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y
Answer: 1.5x
Step-by-step explanation:
Answer:
1.5x + 3 = y
Step-by-step explanation:
−6x = 12 − 4y
1. Subtract 12 from both sides: −6x − 12 = −4y
2. Divide −4 to both sides: -6x-12 over -4 = -4y over -4
Tom has 40$ to spend. He spend $21.40 on a light saber. He needs to set aside $15 for a toda t-shirt. If skittles cost $0.58 per package, what is the maximum number of skittles packages he can buy? PLEASE HELP
Answer:
6
Step-by-step explanation:
40 - 21.40 = 18.6
18.6 - 15, for the amount he sets aside for shirt = 3.6 left to spend
3.6 divided by 0.58 = 6.20
so rounded, the answer should be 6 packages of skittles
The expression 14 to the power of 6 divided by 14 to the power of 4 is equal to
Answer:
[tex]14^{2}[/tex] [tex]or 196[/tex]
Step-by-step explanation:
[tex]14^{6}[/tex] ÷ [tex]14^{4}[/tex]
all you have to do it subtract
[tex]14^{6} - 14^{4}[/tex]
=
[tex]14^{2}[/tex]
which is equivalent as 196.
to solve [tex]14^{2}[/tex], it's just
14 × 14 = 196
1 2