Question 2
Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
square in Figure 1?
The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a? + b2 = c?.
In each figure the total area is equal and the area of the 4 triangles is equal, so
the remaining white area in each figure must also be equal.
Answers
Answer:
the third option
Step-by-step explanation:
that is actually the proof for Pythagoras :
both squares have the total area of (a + b)².
each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2
so, for figure 1
(a + b)² = 4×a×b/2 + c² = 2×a×b + c²
and for figure 2
(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²
2×a×b + c² = 2×a×b + a² + b²
c² = a² + b²
Related Questions
Topic 3: Performance Assessment Form A
Due 11/18/21
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the function V
to identify the x-intercepts. List them in order from least to greatest.
0
1
2
3
4
5
3
The x-intercepts are -
, and
Part
Which, if any, of the x-intercepts has meaning in the context of the problem? Explain.
B 1
Ω 6
Roviow progress
Question 3
oro
Back
Next →
Answers
Answer:
Suppose, for example, we graph the function
f
(
x
)
=
(
x
+
3
)
(
x
−
2
)
2
(
x
+
1
)
3
.
Step-by-step explanation:
1. Michael serves 1.5 quarts of juice for eight people if he’s going to serve 128 people how much juice does he need?
2. five out of nine people at Hawaiian Falls have a season pass if there are 360 people at the pool how many have a season pass?
Answers
Answer:
1. 24 qt
2. 200 people
Step-by-step explanation:
1. Use a proportion.
1.5 qt to 8 people = x qt to 128 people
1.5/8 = x/128
Cross multiply.
8x = 1.5 × 128
8x = 192
x = 24
Answer: 24 qt
2.
5/9 of number of people have a season pass.
number of people at pool = 360
5/9 × 360 = 200
Answer: 200 people
Find the gradient of the line segment between the points (4,-6) and (-6,-16).
Answers
Answer:
1
Step-by-step explanation:
gradient M= change in Y / change in X
= (-16--6)/(-6-4)
= -10/-10
M therefore= 1
A group of workers is harvesting carrots at a constant rate. An equation that represents the number of bushels of carrots the workers picked over a period of time, in hours, is y=6x+2. What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for this situation.
Answers
Answer:
Step-by-step explanation:
y = bushels of carrots picked
6 = bushels of carrots per hour (rate of change)
x = time worked at picking
2 = initial number of bushels picked before time starts.
My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".
i need detailed answer for this question. please help it’s for elementary school
Answers
Step-by-step explanation:
=4÷8-15
=½-15
= -14½
hope this helps you.
Answer:
-14.5
Step-by-step explanation:
4÷2^3-15
2^3= 8
4÷8-15
4÷8= 0.5
0.5-15= -14.5
-14.5
Solve 2x-1/4 + x/3 = 2
Answers
Step-by-step explanation:
=> 2x-1/4 + x/3 = 2
=> 3(2x-1) +4x / 12 = 2
=> 6x -3 + 4x = 24
=> 10x = 27
=> x = 2.7
Answer:
x = 27/28
Step-by-step explanation:
Solve 2x-1/4 + x/3 = 2
2x - 1/4 + x/3 = 2
2x + (-1/4) + 1/3x = 2
(2x + 1/3x) + (-1/4) = 2
7/3x + (-1/4) = 2
7/3x = 9/4
3/7 * 7/3x = 3/4 * 9/4
x = 27/28
---------------------
check
2 * 27/28 - 1/4 + 27/28 *1/3 = 2
2 = 2
the answer is good
To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.
Answers
Answer:
option d
Step-by-step explanation:
Your should have attached the equation for answer to be explained
The union of { 1, 2, 3, 4, 5, 6 } and { 4, 5, 6, 7, 8, 9, 10} is ( 4, 5, 6 }. True or false?
Answers
Answer:
Below:
Step-by-step explanation:-
The answer is in the comment!! someone answered your question!!
Answer:
false this is because the answer would contain all the values in both sets
What's fish + nine?
I NEED HELP!?
Answers
Answer:
nine fish............
Answer: 9 Fish
Step-by-step explanation:
HELP ASAP
I WILL GIVE BRAINLIEST
How is the product of 2 and 5 shown on a number line?
2-1 0 1 2 3 4 5.7.1
-10
101235
7.
-13-
3-L 1 2 3
5
-1012
4 5
Answers
Answer:
4th option
Step-by-step explanation:
2x-5 means yo have to take minus 5 twice. So you start from 0 and jump back 5 steps twice. So 4
Do You KNOW HOW?
Describe the type of association between x and
y for each set of data.
Please help☹️
Answers
Answer:
The type of association between x and y are inversely proportional
Step-by-step explanation:
Solution:
Here the x value increase, the y value decrease which implies that x is inversely proportional to y
I hope this helps.
Determine whether the distribution is a discrete probability distribution
X. 1 2 3 4 50
P(x) 0.28 0.45 0.11 0.08 0.08
Is the distribution a discrete probability distribution?
O A. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive.
OB. No, because each probability is not between 0 and 1, inclusive.
O c. Yes, because the sum of the probabilities is equal to 1.
OD. No, because the sum of the probabilities is not equal to 1.
Answers
Answer:
A child psychologist is interested in the number of times a newborn baby’s crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby’s crying wakes its mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5.
P(x) = probability that X takes on a value x.
x P(x)0 P(x = 0) = 250
1 P(x = 1) = 1150
2 P(x = 2) = 2350
3 P(x = 3) = 950
4 P(x = 4) = 450
5 P(x = 5) = 150
Step-by-step explanation:
pa follow po pls.
Hilary is making slime for a class project
He discovers that he needs 2 cups of glue for every 3 cups of water
Select all the ratios that have the same constant of proportionality as Hilary's
observation
4:6
3:6
3:12
8:12
Answers
8:12
Are the answers
The ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.
Hilary's observation states that he needs 2 cups of glue for every 3 cups of water. This can be represented as the ratio 2:3.
Now, let's compare this ratio to the given options:
4:6 = 2:3
Same ratio, same constant of proportionality.
3:6 = 1:2
Different ratio, not the same constant of proportionality.
3:12 = 1:4
Different ratio, not the same constant of proportionality.
8:12 = 2:3
Same ratio, same constant of proportionality.
So, the ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.
To learn more on Ratios click:
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What is the distance between the points (6, 11) and (3, 1)? If necessary, round
your answer to two decimal places.
A. 109 units
B. 9.43 units
C. 10.44 units
D. 89 units
Answers
Answer:
C.) 10.44030650
Step-by-step explanation:
Answer:
C. 10.44 unitsStep-by-step explanation:
Use distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute the values and calculate:
[tex]d=\sqrt{(3-6)^2+(1-11)^2} =\sqrt{(-3)^2+(-10)^2} =\sqrt{9+100} =\sqrt{109} =10.4403[/tex]Correct choice is C
PLEASE SOMEBODY HELP Let x and Y be two positive integers such that x-y =75 and the least common multiple of x and y is 360. Find the value of x+y.
Answers
Step-by-step explanation:
xy=360
x-y=75
(x-y)^2+2xy=(x+y)^2-2xy hence we have for x+y= ((x-y)^2+4xy)^0.5 which somehow equals 84.1
Pls brainlest ASAP and add extra points for correct answer
Answers
Answer:
glucose, sunlight and oxygen on the left (they go in the cell)
water and carbon dioxide on the right (they go out of the cell)
Find the equation for the linear function based upon this table. y = mx + b
y -6 -2 2 6 10
x -4 -2 0 2 4
Answers
Answer:
y = 2x + 2
Step-by-step explanation:
for each rise of 4 in y
there is a run of 2 in x
m = rise/run
m = 4/2
m = 2
when x = 0, y = 2
therefor the y-intercept, b = 2
y = mx + b
y = 2x + 2
Select the graph which correctly displays the function f(x) = |x + 2|– 3.
graph 1
graph 2
graph 3
graph 4
Answers
Answer:
Graph 4
Step-by-step explanation:
I have to put more words lol
which of the following is the inverse of F(x) = 2 x + 3?
Answers
Answer:
[tex]\frac{x-3}{2}[/tex]
Step-by-step explanation:
Ms. McCullough bought a bunch of bananas. If she ate 2/8
the bananas and Mrs. Byrd ate 1/4, what fraction of bananas
remains?
Answers
Answer:
1/2
Step-by-step explanation:
that's the answer because 2/8-1/4 is 1/2
its urgent .have an exam tomorrow .pls help
Answers
Please do this step by step!
Answers
Answer:
Step-by-step explanation:
Let the amount creating equality = x
10% x + 625 = 20%x Convert The percentages to a decimal
10/100 x + 625 = 20/100 x Multiply both sides by 100
10x + 62500 = 20 x Subtract 10x from both sides
62500 = 20x - 10x Combine
62500 = 10x Divide by 10 on both sides
62500/10 =10 x/10
6250 = x
The equality is reached when 6250 sales is made.
Write the equation of the line graphed below in slope-intercept form.
a. y = 3x +12
b. y = 12x + 3
c. y = 2x + 3
d. y=12x
Answers
Answer:
C
Step-by-step explanation:
c. y = 2x + 3
first you need to find the y-intercept which is 3
and then the slope rise/run which is 2 so y = 2x + 3
How to express a mixed number as a percent
Answers
Answer:
Make it an improper fraction and multiply by 100
Answer:
Well a percent means out of a hundred
And a mixed number is
x e/y (example)
Now we know the whole number is already 1 and above so we know that’s already a 100%
Now we just need to add the other fraction to the 100%.
Thats it!
OR you can do convert the mixed number into an improper fraction.
From there make a proportion of the improper fraction equaling x/100
Now solve the proportion by cross multiplying.
Solve for x
Zoin is reading a 300-page book.He is 41% finshed. How many pages of the book has he read so far?
Answers
Answer: 41% of 300 is 123
this was a basic answer
He has read 123 pages of the book so far.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Zoin is reading a 300-page book.He is 41% finshed.
Therefore, we get;
41% of 300
41% x 300
0.41 x 300
= 123
Hence,
The number of pages is 123
Learn more about the unitary method, please visit the link given below;
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a bird is flying 1200 feet above the see level. at a particular point it is directly above a fish floating at 400 feet below the see level .by how much the bird must descend its flight to be as far as from the see level,as the fish is
Answers
Answer:
Ok the answer is 200 feet
61 = 7 - 6x
this is 8th grade math
Answers
Answer:
x = -9
Step-by-step explanation:
Solve:
61 = 7 - 6x54 = -6xx = -9-Chetan K
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: x = -9 }}}}}}}}[/tex]
Step-by-step explanation:
[tex]61 = 7 - 6x\\61 - 7 = - 6x\\54 = -6x\\-\frac{54}{6} = x\\\boxed{- 9 = x}[/tex]
______
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
(x-1)I+(y+1)=(1+i)(4-3i)
Answers
Answer:
x=2, y=6
Step-by-step explanation:
answer this question fast
Answers
Answer:
0.09
Step-by-step explanation:
Help help math please help help help help
Answers
Answer:
Answered is x= 55x
Step-by-step explanation:
13x+10 * 12x+20
soln:
or, 13x+12x+10+20
or, 25x+30
:., therefore, x=55x