Answer:
f(x)=x^(2),[2,3]
-2x-h+3
Step-by-step explanation:
On your paper, construct a rectangle on a coordinate plane that satisfies these criteria.
• The sides of the rectangle are either vertical or horizontal.
• The perimeter of the rectangle is 42 units.
• Each of the vertices lies in a different quadrant.
What are the coordinates of the vertices of your rectangle? Explain how you know the perimeter of your rectangle is
42 units
Answer:
[tex]A = (5,3)[/tex]
[tex]B = (-5,3)[/tex]
[tex]C = (-5,-8)[/tex]
[tex]D = (5,-8)[/tex]
Step-by-step explanation:
Required
[tex]Perimeter = 42[/tex]
Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.
First, name the rectangle ABCD.
Such that:
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_2,y_2)[/tex]
[tex]C = (x_3,y_3)[/tex]
[tex]D = (x_4,y_4)[/tex]
For the rectangle to be either horizontal or vertical, then:
[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]
We have that:
[tex]Perimeter = 42[/tex]
Replace perimeter with its formula
[tex]2(AB + BC) = 42[/tex]
Divide both sides by 2
[tex]AB + BC = 21[/tex]
This implies that, the distance between adjacent sides (through the edges) must be equal to 21
Having said that: a set of coordinates that satisfy the given conditions are:
[tex]A = (5,3)[/tex] -- First quadrant
[tex]B = (-5,3)[/tex] -- Second quadrant
[tex]C = (-5,-8)[/tex] -- Third quadrant
[tex]D = (5,-8)[/tex] -- Fourth quadrant
The above quadrants satisfy the condition:
[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]
HOW TO KNOW THE PERIMETER IS 42
To do this, we simply calculate the distance between the edges and add them up
Distance is calculated as:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
For AB
[tex]A = (5,3)[/tex]
[tex]B = (-5,3)[/tex]
[tex]D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10[/tex]
For BC
[tex]B = (-5,3)[/tex]
[tex]C = (-5,-8)[/tex]
[tex]D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]
For CD
[tex]C = (-5,-8)[/tex]
[tex]D = (5,-8)[/tex]
[tex]D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10[/tex]
For DA
[tex]D = (5,-8)[/tex]
[tex]A = (5,3)[/tex]
[tex]D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]
So, the perimeter is:
[tex]P = D_1 + D_2 + D_3 + D_4[/tex]
[tex]P = 10 + 11 + 10 +11[/tex]
[tex]P = 42[/tex]
See attachment for rectangle
Pls help I’ll brain lest ASAP
for an art project ,Mrs.Williams is dividing construction paper into fourths. how many Fourths can she make from 5 pieces of construction paper?
if you answer you'll be a Brainliest
Answer:
20
Step-by-step explanation:
5 times 4 = 20
23.450÷345
[tex]23.450 \div 345[/tex]
Answer:
0.0679710145
I hope this will help you
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: N and R
Vertical angles: A pair of angles that are made by two intersecting lines.
Complimentary: P and Q
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
What is -5 + 7
I need too know this because I am in 7th grade for the 5th time and this is the unit that always made me fail. PLEASE HELP!!!
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Ok so what you wanna do is subtract 5 from 7 which is 2, the answer is 2
Exercise 1.7.1.
1. In a class of 32 students, 11 study Physics, 16 study Biology, 14 study Chemistry but
4 do not study of these subjects, 5 study Physics and Biology,4 study Physics and
Chemistry, 7 study Biology and chemistry while 6 study chemistry only. Using n to
represent the number of students who study all three subjects.
(a) Illustrate this information on a Venn diagram
(6) Write an equation in terms of n.
(c) By solving your equation in (6), find the number of students who study:
(i) all three subjects
(ii) Physics or Chemistry but not Biology
thiz language is french
Your brother is going away to college, so you no longer have to share a bedroom. You decide to redecorate a wall by
hanging two new posters on the wall. The wall is 14 feet wide and each poster is four feet wide. You want to place the
posters on the wall so that the distance from the edge of each poster to the nearest edge of the wall is the same as the
distance between the posters, as shown in the diagram below. Determine that distance.
14 Feet
4 Feet
4 Feet
Answer:
2 feet apart each
Step-by-step explanation:
Mr. Hernandez dilates the triangle shown below by a scale factor of 2 with the origin
as the center to obtain AA'B'C'.
Answer: only student 2
HELP ASAP PLEASE I CANT FAIL THIS OR ELSE I GOTTA DO A WHOLE LESSON :( IM ALREADY SO BEHIND!!!!
Answer:
the last one on the bottom
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
How do you make it 8
Answer:
I think you spend 14 points on it
Answer:
4+4=8
Step-by-step explanation:
I hope it's helpful!
Have a nice day!
Find the ratio of ruppees 5 to 50 paise
6The table below represents the charges for using the Internet at a cafe. 3 Number of Minutes Amount Charged (in dollars) 7.5 30 R. 120 12 220 Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)
m=(12-7.5)/(120-30)
m=0.05
y=0.05x+b, using point (30,7.5)
7.5=0.05(30)+b
7.5=1.5+b
b=6
y=0.05x+6
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell five cars; nineteen generally sell six cars; twelve generally sell seven cars; nine generally sell eight cars; eleven generally sell nine cars. Calculate the following. (Round your answer to two decimal places.)Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency
Answer:
Step-by-step explanation:
From the information given:
We can compute the required calculations into a table as shown below.
[tex]\mathbf{Data \ value }[/tex] [tex]\mathbf{ Frequency }[/tex] [tex]\mathbf{Relative \ frequency}[/tex] [tex]\mathbf{Cumulative \ relative }[/tex]
[tex]\mathbf{Frequency}[/tex]
5 14 14/65 = 0.22 14
6 19 19/65 = 0.29 19+14 = 33
7 12 12/65 = 0.19 33+12 = 45
8 9 9/65 = 0.14 45 + 9 = 54
9 11 11/65 = 0.17 54 + 11 = 65
65
Note: that the relative frequency is determined by dividing each value in the frequency by the total of the frequency.
I think I got the answer but I need someone to help
Someone help me out please.
Answer:
The answer should be 64.21 or 64
Step-by-step explanation:
Help this Helped
Help plz...plz don’t steal points..
Answer:
C is the correct answer
Step-by-step explanation:
You just distribute the 5 to the following exponents.
If 5 hours is 25% of the time a trip will take, how long will it take?
Answer:
20 hours
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
We know that 25% is 1/4 of the time. So 5 hours would be multiplied by 4, which is the reciprocal of 1/4.
5 x 4 = 20, so that's your answer. I hope I helped :)
simplify and factor this expression; 12x+18y+18x
Answer:
15x+9y
Step-by-step explanation:
1) Add: 12x+18x+18y= 30x+18y
2)Factor (divisible by 2)
3)Divide 2 from 30 and 18 so,
4)15x+9y
what is the least common denominator for 5/7 4/6
Answer:
Tricky! The LCD is 21
Normally, we would have to multiply the denominators, 7 × 6 = 42 but 4/6 is not reduced.
Step-by-step explanation:
15/21 is equivalent to 5/7
14/21 is equivalent to 4/6 and 2/3
Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)
Answer:
85.99% of airline passengers incur this fee.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean 46 pounds and standard deviation 3.7 pounds.
This means that [tex]\mu = 46, \sigma = 3.7[/tex]
Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.
As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 46}{3.7}[/tex]
[tex]Z = 1.08[/tex]
[tex]Z = 1.08[/tex] has a pvalue of 0.8599
0.8599*100% = 85.99%
85.99% of airline passengers incur this fee.
what is 3,000 + 200 + .4 + .06 in standard from
Answer:
3,200.406
I think
Step-by-step explanation:
Answer:
Hello! :) have a good day!
3000 + 200 + .4 + 0.6 in standard form is 3201
Find the distance between the two points (-5, -2) and T(-3, 4).
Answer:
[tex]\displaystyle d = 2\sqrt{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, -2) → x₁ = -5, y₁ = -2
Point (-3, 4) → x₂ = -3, y₂ = 4
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+5)^2+(4+2)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(2)^2+(6)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{4+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{40}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{10}[/tex]The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.
Answer:
41.91 is your answer right answer
An advertising agency notices that approximately 1 in 50 potential buyers of a product sees a given magazine ad, and 1 in 8 sees a corresponding ad on television. One in 100 sees both. One in 4 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product
Answer:
Probability = 0.12025
Step-by-step explanation:
P (Am) = 1/50 = 0.02 {Magazine ad}
P (At) = 1/8 = 0.125 {Television ad}
P (Am ∩ At ) = 1/100 = 0.01 {Both ads}
P (Am U At) = P (Am) + P (At) - P (Am ∩ At )
= 0.02 + 0.125 - 0.01
P (Am U At) = 0.135 {Person sees either ad}
P (Am' ∩ At') = 1 - P (Am U At)
P (Am' ∩ At') = 1 - 0.135 = 0.865 {Person sees none ad}
Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)
P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1
P (P) = (0.25) (0.135) + (0.1) (0.865)
= 0.03375 + 0.0865
0.12025
I dont rlly understand this problem, can someone help me pls! thx :)
Answer:
68 i think
Step-by-step explanation:
Step-by-step explanation:
The equation here is,
w° + 124° = 180°
=> w = 180° - 124°
=> w = 56° (Ans)
SOLUTION TO THIS EQUATION
Is the equation 5x = 7x always, sometimes, or never true? Explain.
Answer:
Step-by-step explanation:
If x = 0, 5x = 7x is true.
If x = 1, 5x ≠ 7x
5x = 7x is sometimes true.
If I invest $600 at an 11.5% interest rate, how much money will I earn over 5 years? A. $945 B. $345 C. $69 D. $34.50
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Answer:
a
Step-by-step explanation:
I would I simplify this ?
4. A movie-streaming service offers 12 children's movies. This is 15% of the
total number of movies offered. How many movies does the streaming
service offer? *
Answer:
80
Step-by-step explanation:
12 is 15% of 80.
80 movies does the streaming service offer.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A movie-streaming service offers 12 children's movies.
This is 15% of the total number of movies offered.
let the total number of movies offered be x.
So, 15% of x= 12
15/100 x = 12
x= 1200/15
x= 80
Thus, there were total 80 movies.
Learn more about Algebra here:
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