Question:
A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4, 8). Where should she place the last point?
Answer:
[tex]D = (4,4)[/tex]
Step-by-step explanation:
Let the rectangle be ABCD
[tex]A = (-4,4)[/tex]
[tex]B= (-4,8)[/tex]
[tex]C = (4,8)[/tex]
Required
Determine the location of the last point
A rectangle has the following coordinates
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_1,y_2)[/tex]
[tex]C = (x_2,y_2)[/tex]
[tex]D = (x_2,y_1)[/tex]
From the given coordinates:
[tex]x_1 = -4[/tex] --- see x coordinates of A and B
[tex]x_2 = 4[/tex] --- see x coordinates of C
[tex]y_1 =4[/tex] --- see y coordinates of C
[tex]y_2 =8[/tex] --- see y coordinates of B and C
So:
[tex]D = (x_2,y_1)[/tex]
[tex]x_2 = 4[/tex]
[tex]y_1 =4[/tex]
The coordinates of the last point (D) is:
[tex]D = (4,4)[/tex]
In a card game, one of the players wants to draw two DIAMONDS in a row from a newly shuffled deck. (Recall a deck of cards has 52 total cards
and 13 of each symbol, including 13 diamonds.)
Create a tree diagram.
What is the probability ONE of the two cards is a diamond?
What is the probability the second card is a diamond, GIVEN the first card drawn was a diamond?
(CLICK YOUR ANSWER FROM THE OPTIONS BELOW. DON'T TYPE YOUR ANSWER IN.)
Word Bank:
382.59.235.254.191 25.559 231
Blank 1:
Blank 2:
Part A
The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.
The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.
The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.
The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.
So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34
The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%
---------------
Answer in fraction form = 13/34Answer in decimal form = 0.3824 (approximate)Answer in percent form = 38.24% (approximate)============================================================
Part B
We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.
We have 13-1 = 12 diamonds left out of 52-1 = 51 total.
The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%
-----------------
Answer in fraction form = 12/51Answer in decimal form = 0.2353 (approximate)Answer in percent form = 23.53% (approximate)Analyze the following situations that represent a relationship between x and y. Which situations can be modeled by the equation y = 0.23x? Select two that apply.
Answer:
I think it's A and D
Step-by-step explanation:
For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months
for option D, y would be the total amount of money spent and x would be the number of granola bars bought. total money spent = $0.23 × number of granola bars bought
Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.
In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change
Which square root is between 4 and 5?
O 10
O 14
O24
O 32
Answer:
√24 because it's lies on between of√16 and√25.
The only square root that falls between 4 and 5 is √24.
What is Number system?A number system is defined as a system of writing to express numbers.
We can estimate the value of each square root and see which one falls between 4 and 5:
The value of √10 is less than 4 because √10 is, 3.16
√14 is less than 4.5 because √14 value is 3.76
√24 is greater than 4.5 because √24 value is 4.89
√32 is greater than 5 because 5 x 5 = 25, and √32 is slightly smaller than 5.
Therefore, the only square root that falls between 4 and 5 is √24.
To learn more on Number system click:
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What is the product of a,b, and c?
Answer:
[tex] abc = - \frac{16}{3} [/tex]
Step-by-step explanation:
[tex] {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} [/tex]
Which of the following choices shows the equation solved for y
7x + 2y = 10
1. y = -7/2x + 5
2. y = 7/2x +10
3. y = 7/2x + 5
4. y = -7x + 10
Answer:
#1; [tex]y = -\frac{7}{2}x+5[/tex]
Step-by-step explanation:
[tex]7x+2y=10[/tex]
[tex]2y = -7x + 10[/tex]
[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]
[tex]y = -\frac{7}{2}x + 5[/tex]
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
–3y9 number of terms
Answer and Step-by-step explanation:
[tex]-3y^{9}[/tex]
This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.
#teamtrees #PAW (Plant And Water)
Ron is x years old. His brother, Ray, is y years older than him. How old was Ray when Ron was first born?
Answer:
Ray was y years old when Ron was born
Step-by-step explanation:
Hey there!
The correct answer is y years old.
If he is y years older, that means that when Ron was 0, or when he was just born, Ray was y years older.
Have a terrificly amazing day! :D
what is the surface area of the figure?
Answer:
96
Step-by-step explanation:
first off you know that it is a square pyramid, so you can assume that all base lengths are 6.
i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory
next, we have to find the 4 triangles
we know that they are 5 by 6 but you have to divide them by 2
so 30/2=15 and there are 4 of them
15*4=60
now add together 60 and 36 and you get 96
hope this helps!
What is b PLSSSS ANSWER
WILL GIVE BRAINLIEST
Answer: -15 divided by 0.3 is the same as -15/3/10 but to solve we can do -15 times 10/3 witch is -150/3=-50
Step-by-step explanation:
The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.
Answer:
x=42.3m
Step-by-step explanation:
x/47=82.8/92
92x=3891.6= 42.3m is the distance
Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
What are Similar Triangles?Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).
The two triangles formed are similar triangles. Therefore:
47/FG = 82/73.8
Cross multiply
FG = (47 × 73.8)/82
FG = 42.3 m
Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
Learn more about similar triangles on:
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Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?
Answer:
height = 6
volume = 60 in³
Hope this helps!
Answer:
Height = 4
Volume = 48 units ^3
Step-by-step explanation:
PLEASE HELP FAST I WILL GIVE BRAINLIST AND EXTRA POINTS FOR YOU TO DRAW THE GRAPH
Answer:
literally straight on the x axis
EMERGENCY! NEED QUICK
if
Answer:
100 degrees
Step-by-step explanation:
hi again,
By the linear pair theorem, Angle B + Angle E will equal 180 degrees
Angle B + 128 = 180
Angle B = 52
By the triangle Sum Theorem, Angle A + Angle B + Angle C = 180
48 + 52 + Angle C = 180
100 + Angle C = 180
Angle C = 80
Like I said, by the linear pair theorem, Angle C + Angle F will equal 180 degrees
80 + Angle F = 180
Angle F = 100
38 is 90 percent of what
Answer:
42.22 (2 repeating)
Step-by-step explanation:
When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.
Starting with the most basic equation,
Percent * Base = Amount
In this problem, you are given the amount (38) and the percent (90)
So to find the base, you can do
Base = Amount / Percent
As always, convert the percent to a decimal by dividing by 100.
38/ 0.9 = 42.222 repeating
Answer:
38 is 90 Percent of What Number?
42.22
Step-by-step explanation:
Which property is demonstrated below?
(a+b)+c=(b+a)+c
A. Commutative property of addition
B.Associative property of addiction
C.Identity property of addition
D.Distributive property
Answer:
Associative property of addition
Answer:
B.Associative property of addiction
Step-by-step explanation:
Solve this equation 53y - 55 = 42y
One banana cost $30 how many do 80 bananas cost
Answer:2400 ...
Step-by-step explanation:
vertex (0,0) focus (0,-1)
A) y=1/4 x^2
B) y=-1/4x^2
C) y=1/16x^2
D) y=-1/16x^2
Answer:B
Step-by-step explanation:
Solve graphically.
5x+7y=1 and x+4y=-5
Answer:
{x,y} = {3,-2}
Step-by-step explanation:
Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The equations are given below.
5x + 7y = 1
x + 4y = -5
Convert the equation into an intercept form. Then we have
From equation 1, then we have
5x + 7y = 1
x / (1/5) + y / (1/7) = 1
From equation 2, then we have
x + 4y = -5
x / (-5) + y / (-5/4) = 1
The lines are drawn below.
Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).
More about the linear equation link is given below.
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A tip for great service is 20% of the bill. If the bill for dinner is $32, what is the total cost of dinner?
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A baker needs 15 lb of cream cheese that contains 20% fat to fill a big order. But his supplier delivers one cream cheese that contains 10% fat, and another that contains 35% fat. How many pounds of each should the baker combine to fill the order?
Answer:
6 2/3 lbs of each
Step-by-step explanation:
.10x + .35x = 15(.20)
.45x = 3
x = 3/4.5
x = 6.67
Answer:
Step-by-step explanation:
[.1x+.35(15-x)]/15=.2
.1x+5.25-.35x=3
-.25x+5.25=3
-.25x=-2.25
x=9
So he will use 9lbs of 10% and 6lbs of 35%.
what is the answer to 6−2(3x−5)=−8
Answer:
x = 4
Step-by-step explanation:
A store manager earns $ 24.00 per hour. If the manager works 8 hours one day and donates 1 10 of the day's earnings to charity, how much of the earnings are left?
what is the common ratio? {250, 50, 10, 2...}
Answer:
5
Step-by-step explanation:
The common ration can be found by dividing the 2nd number from the 1st number:
250 / 50
which equals 5
250 / 50 = 5
you can do this by any number, for example:
50 / 10 =5
10 / 2 = 5
Please Help!! Brainliest Answer! Thank you!
Answer:
D. 157.5
Step-by-step explanation:
Formual for sum of interior angles
(n-2)*180
so 14*180=2520
but that is the sum
divide that by 16 (2520/16) = 157.5
The square root of 14641 will have how many digits
Answer:
3 digits
Step-by-step explanation:
Hopefully that helps.
Answer:
3 digits
Step-by-step explanation:
Using a calculator, we find √14641 = 121, which has 3 digits.
Find the volume of the cylinder. Round your answer to the nearest tenth.
V =
Answer:
1526.81
Step-by-step explain
v=[tex]\pi[/tex]*radius^2*Hight
In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?
Answer: 20inch
Step-by-step explanation:
Using the Pythagoras theorem:-
25^2 = 15^2 + x^2 where x = the width of the screen.
625 = 225 + x^2
x = √(625 - 225) = √400
= = 20 ins
Can someone please answer this for me
Answer:
3.5
Explanation:
Take any two points of the line and simply use the formula slop = y2-y1/x2-x1
Two points that I consider
(x1, y1) = (5,0)
(x2,y2) = (7,7)
Now using the above mentioned formula,
y2-y1/x2-x1 = 7-0/7-5 = 7/2= 3.5
Hence slop of line is 3.5
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