Answer:
[tex]d = 17[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 8)
Point (17, 0)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(17-2)^2+(0-8)^2}[/tex]Subtract: [tex]d = \sqrt{(15)^2+(-8)^2}[/tex]Exponents: [tex]d = \sqrt{225+64}[/tex]Add: [tex]d = \sqrt{289}[/tex]Simplify: [tex]d = 17[/tex]The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:
[tex]l = 2w + 4[/tex]
The perimeter is 96 feet:
[tex]p = 96[/tex]
We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:
[tex]p = 2l + 2w[/tex]
We can solve for w by plugging the other two values into the last:
[tex]p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}[/tex]
Now we can find the length by plugging w into the first equation:
[tex]l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}[/tex]
One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:
[tex]p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96[/tex]
So we know our answer's correct
A landscape architect used the entire length of a 144 foot rope to lay out a flowerbed in the shape os a square. In another area, e used the entire length of the same rope to lay out a second flower bed in the shape of a circle
Answer:
Perimeter of square = 80 feet Circumference of circle = 80 feet
How many square feet greater is the area of one of the flower beds than the other? (use 3.14 for pi)
Step-by-step explanation:
True or False:
7>11>15>19
The number to complete the pattern is 4.
If > = To and < = From
A) True
B) False
Answer:
false
Step-by-step explanation: ur welcome
Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?
Individual Question
362
500
800
1,250
1,750-
A because I did it
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1/8 + c = 4/5
Find what c is
c = 27/40
Pic is below for explanation
God bless !
Douglas will paint two walls in his living room. One wall is 15 feet long, and the other wall is 132 feet long. Each
wall has a height of 10 feet.
What is the area Douglas will paint in square feet?
Answer:
1470 square feet
Step-by-step explanation:
15x10 =150
132×10=1320
total =1479
parabola with focus (2, 1) and directrix x=-8
Consider we need to find the equation of the parabola.
Given:
Parabola with focus (2, 1) and directrix x=-8.
To find:
The equation of the parabola.
Solution:
We have directrix x=-8. so, it is a horizontal parabola.
The equation of a horizontal parabola is
[tex](y-k)^2=4p(x-h)[/tex] ...(i)
where, (h,k) is center, (h+p,k) is focus and x=h-p is directrix.
On comparing focus, we get
[tex](h+p,k)=(2,1)[/tex]
[tex]h+p=2[/tex] ...(ii)
[tex]k=1[/tex]
On comparing directrix, we get
[tex]h-p=-8[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2h=2+(-8)[/tex]
[tex]2h=-6[/tex]
Divide both sides by 2.
[tex]h=-3[/tex]
Putting h=-3 in (ii), we get
[tex]-3+p=2[/tex]
[tex]p=2+3[/tex]
[tex]p=5[/tex]
Putting h=-3, k=1 and p=5 in (i), we get
[tex](y-1)^2=4(5)(x-(-3))[/tex]
[tex](y-1)^2=20(x+3)[/tex]
Therefore, the equation of the parabola is [tex](y-1)^2=20(x+3)[/tex].
Les is sending 8 identical catalogs to one of his customers.
If the package with the catalogs weighs 6.64 pounds, how much does each catalog weigh?
Answer:
the answer is 0.83
Your boss sends you a text of a painting of the Yankee stadium.
The painting is 16 inches by 24 inches. If the scale factor is 2.25, what is the actual size of the painting?
Your boss also needs to know if this is an enlargement or a reduction.
(If you can,Please provide an image of how you solved the problem.And please explain thoroughly how you got your answer.)
Answer:
170.6 inches
The scale factor is an enlargement
Step-by-step explanation:
16 by 24 is the Painting by a scale factor of 2.25
A scale factor is an enlargment or reduction in a shape or quantity.
So
(16*24) is the size of the painting after Scale factor
16*24=384
Know get 384/2.25
170.666666667
170.6 inches
PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST :)
Part 1: Answer the following questions (20 points)
1. Name and describe the components needed to make a complete circuit.
2. Compare and contrast a series and parallel circuit. Give at least one way that they are alike and one way that they are different.
3. Ohm's law is represented by the equation I = V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same.
4. Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same.
Part 2: Design your own circuit (40 points)
Design a circuit and draw a circuit diagram using the proper symbols. Your circuit must contain a battery, a light bulb (if you would like to substitute another item that uses electrical power you may), a switch, an ammeter, and a resistor. After you draw your circuit, complete the questions which ask you to describe the circuit that you have created. You may hand draw the circuit and scan or fax the worksheet to submit for grading. Or you may use a draw/paint program to create your circuit in the space provided.
You will be awarded points as follows:
Circuit contains all required parts – 5 parts (1 point each) 5 points
Circuit is properly constructed and would work 5 points
Symbols are correct and properly placed – 5 total (1 point each) 5 points
Question 1 explanation 5 points
Question 2 explanation 5 points
Question 3 explanation 5 points
Question 4 explanation 5 points
Question 5 explanation 5 points
Total point value 40 points
Circuit Diagram:
Question 1: Is the circuit you created a parallel, series or a series/parallel circuit? Support your answer with a description of this type of circuit.
Question 2: What is the purpose of the resistor in your circuit?
Question 3: How does the switch work?
Question 4: Describe the path of the electric current through your circuit.
Question 5: Explain how your battery works. (You may want to look at the Electric Current lesson) What are some possible materials you could use to make your battery?
Answer:
Part 1: Answer the following questions (20 points)
1. Name and describe the components needed to make a complete circuit.
. battery
. connecting wire
. resister
. voltmeter
. ammeter
2. Compare and contrast a series and parallel circuit. Give at least one way that they are alike and one way that they are different.
They both give off electricity energy, and they are different because they don't release the same amount of energy
3. Ohm's law is represented by the equation I = V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same.
In accordance with the law, if r became smaller, and V stayed the same, the current would increase. The increases would be inversely proportional to the resistance, if the resistance was halved, the current would double.
4. Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same. The resistance of a conductor is the ratio of the voltage
between its ends to the current through it
Step-by-step explanation:
How do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)
x-y= -8 (ANSWER?)
Answer:
y = x + 8
General Formulas and Concepts:
Algebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
Standard Form: x - y = -8
Step 2: Rewrite
Find slope-intercept form
Subtract x on both sides: -y = -x - 8Divide -1 on both sides: y = x + 8a box contains 75 red and 25 green light bulbs. it is found that 20 bulbs in the box are defective, of which 2 are red. what is the probability that a bulb selected randomly from the box is either a red bulb or a defective bulb?
0.82
0.93
0.73
0.95
Answer:
15 bulbs are red.
Step-by-step explanation: Because 75 is 3 times as big as 25 so every 1 green light bulb 3 red light bulbs will be deflective.
What is the equation of y = x 3 y = x 3 with the given transformations? vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down
Answer and Step-by-step explanation: In math, a graph, function or equation can be alterated - by shifting, reflecting, stretching or compressing - without losing its original shape. For example, a quadratic function maintains its parabolic shape when shifted.
When an equation is transformed vertically, it means its y-axis is changed. When it is horizontally, its x-axis is modified.
For equation [tex]y=x^{3}[/tex]:
Vertical stretch by a factor of 3:This means the exponential equation will be multiplied by a constant, in this case 3. Then, the new equation is
[tex]y=3x^{3}[/tex]
Horizontal shift 4 units to the right:When an equation is shifted, it's added a constant to it. As it is horizontal, it means it is added to the x and because it is to the right, it is a plus symbol:
[tex]y=x^{3+4}[/tex]
Vertical shift 3 units down:Vertical shift means the equation is 3 units "below" the original equation, so:
[tex]y=x^{3}-3[/tex]
Use the quotient of powers property to simplify the numeric expression.
2 2/5.
2 1/0
Answer:
[tex] 2^{\frac{3}{10}} [/tex]
Step-by-step explanation:
[tex] \frac{2^{\frac{2}{5}}}{2^{\frac{1}{10}}} [/tex]
Applying quotient of powers property (i.e. [tex] \frac{a^x}{a^y} = a^{x - y} [/tex]
[tex] 2^{\frac{2}{5} - \frac{1}{10}} [/tex]
[tex] 2^{\frac{4 - 1}{10}} [/tex]
[tex] 2^{\frac{3}{10}} [/tex]
Answer:
2 3/10
Step-by-step explanation:
help me plasssss sro
Answer:
i personally think it is B i might be wrong tho
Step-by-step explanation:
Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?
Individual Question
362
500
800
1,250
1,750
Answer:
A I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given a Segment AB find the midpoint; B = 30 and A = 10
Answer:
The midpoint is at 20
Step-by-step explanation:
The midpoint of a segment
Given a segment in the number line with endpoints A(xa) and B(xb).
The midpoint coordinate is calculated as follows:
[tex]\displaystyle xm=\frac{xa+xb}{2}[/tex]
We are given the coordinates xa=10 and xb=30, thus the coordinate xm of the midpoint M is at:
[tex]\displaystyle xm=\frac{10+30}{2}[/tex]
[tex]\displaystyle xm=\frac{40}{2}[/tex]
xm = 20
The midpoint is at 20
god gave me 3 apples but the devil would have gave me 23 have many apples do i have?
33.32 divided 9.8 plsssssss helpppppppp showww workkk
Answer:
3.4
The quotient of 33.32 divide by 9.8 = 3.4
Find the area 3 and 6
Answer:
18
Step-by-step explanation:
You always multiply when doing area.
Please help me I need to turn in tomorrow please help me
Answer:
Answer: A. 0.2
Step-by-step explanation:
Probability
The circle graph shows the distribution of the makeup of the Riverside Municipal Choir.
The total number of choir sections is: 8+10+10+12=40
To calculate the probability of a member chosen at random comes from the alto section, we use the formula:
[tex]\displaystyle P=\frac{8}{40}[/tex]
Calculating:
P = 0.2
Answer: A. 0.2
PLEASE HELP!!!!! I WILL MARK YOU BRAINLIEST IF YOU ARE RIGHT!!!!!!
Answer:
C
Step-by-step explanation
Its c trust me.
Triangle ABC is dilated by a factor of 2 with the center of dilation at the origin to form triangle A′B′C′. What are the coordinates of triangle A′B′C′?
Question 2 options:
A)
A′ (0, 4), B′ (4, 0), C′ (16, 16)
B)
A′ (4, 0), B′ (0, 4), C′ (8, 8)
C)
A′ (0, 4), B′ (4, 0), C′ (8, 8)
D)
A′ (0, –4), B′ (–4, 0), C′ (–8, –8)
Answer: c
Step-by-step explanation: I got it right on the test
A′ (0, 4), B′ (4, 0), C′ (8, 8)
Make a circle graph for each set of data.
Top 5 Biggest U.S. Employers Company Employees Wal-Mart Stores, Inc.
677,500 General Motors Corp. 646,200 PepsiCo, Inc. 485,100 Ford Motor 372,900 Sears Roebuck & Company 336,100 Source: Scholastic Kid's Almanac, 2001
a.
b.
c.
d.
Answer:
Option "B" is correct answer
Step-by-step explanation:
Given:
Wal-Mart Stores, Inc = 677,500
General Motors Corp = 646,200
Pepsi Co, Inc. = 485,100
Ford Motor = 372,900
Sears Roebuck & Company = 336,100
Find:
Chart
Computation:
Total = 677,500 + 646,200 + 485,100 + 372,900 + 336,100
Total = 2,517,800
Percent Wal-Mart Stores, Inc = 677,500 / 2,517,800 = 26.90 %
Percent General Motors Corp = 646,200 / 2,517,800 = 25.66 %
Percent Pepsi Co, Inc. = 485,100 / 2,517,800 = 19.26 %
Percent Ford Motor = 372,900 / 2,517,800 = 14.81 %
Percent Sears Roebuck & Company = 336,100 / 2,517,800 = 13.34 %
So, Option "B" is correct answer.
Answer:here's the correct answer for this question
Step-by-step explanation:edge2023
Passes through (-4, -3), slope = -2.
9514 1404 393
Answer:
y +3 = -2(x +4)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
For your given point and slope, this is ...
y -(-3) = -2(x -(-4))
y +3 = -2(x +4)
I have to finish this in 6 min!! Help! try to see the picture
Answer:
The distance between 7 and zero on a number line
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
0 to 7 on a number line is 7
60 feet of wire is needed for a connection. An 80 meter roll of vire is to be
used. How much wire is left over?
answer:
61.712
Step-by-step explanation:
60 feet = 18.288
left wire = 80-18.288 = 61.712
7. What is a metaphor? *
Answer: A
Step-by-step explanation: B is a simile, D isn't true, and C doesn't exist (there is no type of figurative language that means that). I hope this helps you out!
What is the slope in slope-intercept form for this graphs?
Answer:
Step-by-step explanation:
since the line crosses the y axis at -4 we know that b in the slope intercept form is -4 . now we just need the slope.. and slope is rise over run or y/x... soooo .....
looking at the graph I see that the point (-1,4) and (0,-4) look like they are points on the graph..
soooo....
the rise is -8 when the run is 1 or -8/1 or just -8
use the slope intercept form y = mx + b
y= -8x + (-4)
y = -8x -4 :)
Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.
The graph that correctly represents f(x) = –2(x + 4)² is graph (B).
What is a graph?A graph is a diagram that depicts the connections between two or more objects. A pie chart is a type of graph. In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to connected and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other types of graphs.So, graph of: f(x) = –2(x + 4)²
Then,
f(x) = -2(x + 4)² f(x) = (-2x - 8)²Now, plot (-2x - 8)² on the graph.
(Refer to the graph attached below)
Therefore, the graph that correctly represents f(x) = –2(x + 4)² is graph (B).
Know more about graphs here:
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