The third member of the Pythagorean triple is 28 and this can be determined by using the Pythagorean theorem.
Given :
21 and 35 are two members of a Pythagorean triple.
The following steps can be used in order to determine the third member of the Pythagorean triple:
Step 1 - The Pythagorean theorem can be used in order to determine the third member of the Pythagorean triple.
[tex]H^2 = P^2+B^2[/tex]
where the hypotenuse is H, the perpendicular is P, and the base is B of the right-angle triangle.
Step 2 - Now, substitute the value of H and P in the above expression in order to determine the value of 'B'.
[tex]35^2 = 21^2+B^2[/tex]
Step 3 - Simplify the above expression.
[tex]B^2= 784[/tex]
[tex]B = 28[/tex]
So, the third member of the Pythagorean triple is 28.
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4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
No correlation
Answer:
Negative Correlation
Step-by-step explanation:
The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.
Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.
3(y - 2) = 3y - 6 PLZZZZZZ HELPPP
3(y - 2) = 3y - 6
3y - 6 = 3y - 6
3y - 3y = - 6 + 6
0 = 0
It has ∞ solutions.
0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.
_____
Hope it helps ⚜
Answer:
Infinitely Many Solutions
Step-by-step explanation:
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 Distribute 3.
0 = 0 Combine the like terms.
Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.
Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.
How many floors have exactly 24 offices?
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Explanation:
Focus on the first row only. This involves the stem 2 and various leaves. The stem 2 refers to having a tens digit of 2. So it involves the numbers 20 through 29.
More narrowly, we're involving the values: 20, 22, 24, 24, 27, 29. Each value corresponds to exactly one leaf in that first row. For example, a stem of 2 and a leaf of 7 combine to form the number 27. Often, there will be a key at the bottom of the stem-and-leaf plot to indicate this in shorthand (eg: 2|7 means 27).
In that first row, we see the value 24 shows up twice. This means that there are 2 floors where there are 24 offices on those floors.
MODELING REAL LIFE You and your friend are making pear tarts for a bake sale. Your recipe uses 7/6 times the weight of the diced pears used in your friend’s recipe. Your friend’s recipe calls for 0.3 pound of diced pears. How many pounds of pears should you buy to have enough for both recipes?
Answer:
0.65
Step-by-step explanation:
7/6+6/6=13/6
13/6=2 1/6
2*0.3=0.6
[tex]\frac{3}{10} *\frac{1}{6} =\frac{1}{20}[/tex]
1/20=0.05
0.6+0.05=0.65
HELP ME PLEASE GUYS! :)
Answer:
Step-by-step explanation:
New equation equals - 5y = - 35
Step 2. y = 7
Step 3. 5x - 4( 7 ) = - 23
Step 4. ( 1 , 7 )
i have two Questions.
1. Find the unit rate of 90 miles/2 hours, in feet per second.
2.Find the unit rate of 120 miles in 8 hours, in feet per second.
(extra credit: Extra Credit: How many unique handshakes can be made between 5 people?)
Step-by-step explanation:
ww have that 90 miles /2 hours is given and we are asked to find it in feet per second.
[tex] \frac{90 \: mi}{2 \: hrs} \times \frac{5280 \: ft}{1 \: mi} \times \frac{1 \: hr}{60 \: min} \times \frac{1 \: min}{60 \: sec} = 66[/tex]
So we get
66 fps.
2.
[tex] \frac{120 \: miles}{8 \: hours} \times \frac{5280}{1 \: mile} \times \frac{1 \: hour}{60 \: min} \times \frac{1 \: min}{60 \: seconds} = 22[/tex]
So we get 22 fps.
Extra credit There is 5 people and 2 hands so we use the combinations formula.
n!/r!(n-r)!. where n is the number of objects (the number of people) and r is the things taken at the time( the hands)
Subsitue
[tex] \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 3 \times 2 \times 1} [/tex]
[tex] \frac{20}{2} = 10[/tex]
1). 4x - (2x - 15)
2). -8 + 9x (-4 + 12x)
3). 15 - 14 ( 1 + 4x )
Answer:
1). 4x - (2x - 15)=> 4x - 2x + 15
=> 2x + 15
2). -8 + 9x (-4 + 12x)=> -8 - 36x + 108x²
3). 15 - 14 (1 + 4x)=> 15 - 14 - 56x
=> 1 - 56x
Step-by-step explanation:
Hoped this helped.
Answer:
[tex]\sf 1)\: 4x-\left(2x-15\right)[/tex]
Apply Distributive property:
[tex]\sf 4x-2x+15[/tex]
Combine like terms:
[tex]\boxed{\sf 2x+15}[/tex]
_____________
[tex]\sf 2)\:-8 + 9x (-4 + 12x)[/tex]
Apply Distributive property:
[tex]\boxed{\sf -8-36x+108x^2d}[/tex]
_______________
[tex]\sf 3)\: 15 - 14 ( 1 + 4x )[/tex]
Apply Distributive property:
[tex]\sf 15-14-56x[/tex]
Subtract numbers:
[tex]\boxed{\sf 1-56x}[/tex]
_______________________________________
if , (4x + 3y) : (3x + 4y) = 24 : 25 , find the value of x : y .
don't give unwanted ans to get the points,
well explained ans needed
pls no plagiarism , links and spams
thx for answering :)
We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25
[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]
[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]
[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]
[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]
[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]
[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]
Hence ,
x : y = 3 : 4[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]
Use cross multiplication[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]
[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]
[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]
[tex]\\ \sf\longmapsto 21y=28x[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]
Cut 7[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto x:y=3:4[/tex]
1. What is the next number in the pattern below?
0, 5, 11, 18, _____
can someone pls help me with this? Thank you!
wich is greater 45%, 1/2, 0.55
Answer:
0.55
Step-by-step explanation:
45/100 = 0.45
1/2 = 0.50
Answer:
0.55 is the biggest
Step-by-step explanation:
45% can be converted to 0.45
1/2 is the same as 50%, so in decimal form, it is 0.50 (although no matter how many 0s you put at the end, it will still be the same, so this could effectively be 0.5.)
0.55 is already done for you, so there is nothing to do here.
Therefore, the biggest is 0.55
what is 3/4÷2/1=
Explain how you got your answer
Answer:
3/2
Step-by-step explanation:
Use the KCF method.
Keep the first fraction (3/4)
Change the sign (division to multiplication)
3/4*2/1=6/4 or 3/2
Answer:
[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]
Step-by-step explanation:
=[tex]\frac{3}{4*2}[/tex]
[tex]\frac{3}{8}[/tex]
wich form is more quickly to reveal the y intercept f(x)=3(x-6)^2-75 f(x)=3x^2+36x+33 f(x)=3(x+1)(x+11)
Answer:
the 2nd option
Step-by-step explanation:
the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept
Can you please help me with this question
Answer:
B
Step-by-step explanation:
The table that represents a function will have no x-values repeated.
A. 4 is repeated -- not a function
B. all x-values are unique -- this is a function
C. 2 is repeated -- not a function
D. 3 is repeated -- not a function
How does Shakespeare create an immediate mood of sadness around Romeo
Answer:
Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is
What is the value of X?
i think the answer is 8
bc the small one is 4 and the big one is 6
and the other one is 6 so it must be 8
9. On a certain day the temperature in New
York City was 4°C and the temperature
in Austin was 10°C. How many degrees
lower was the temperature in New York
City?
Answer:
it is 6°. because 10 degree - 4 degree = 6 degree
Can someone pleasee answer this
giving brainly, show work! teacher said this was wrong, specifically the sheldon calculations part, so what's the correct answer?
Step-by-step explanation:
Sheldon's brother shoveled 2/3 of the driveway
Remaining portion = 1 - ⅔
= (3-2)/3
= 1/3
Sheldon shoveled 3/4 of what was left= ¾ × ⅓
= ¼
Sheldon shoveled ¼ or 0.25 of the driveway
Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½
= 2/5
Ahmed shoveled 2/5 or 0.4 of the driveway
0.4 > 0.25
therefore, Ahmed will have the larger area to shovel
Answer:
Ahmed shoveled more
Step-by-step explanation:
you need to do 3/4 - 2/3 which is 1/12 so the you do 1/12 x 3/4 = 3/48
compare with 4/15 and 4/15 is higher so that what you got wrong
Help me please I do not want a bot answering with a link
[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]
The student council is ordering
T-Shirts from a website. The T-shirts
cost $7 each and there is a shipping
fee of $15 for any amount ordered.
The student council wants to suspend
less than $100 on the T-shirts. Write
an inequality that can be used to find
X, the number of shirts the student
council can order?
Plz help me, i need this done 2 get my phone back
Answer:
Step-by-step explanation:
4x = 3yz^2
4x/3y = z^2
To undo an exponent you root it.
[tex]\sqrt{4x/3y} = z[/tex]
I believe this is it. you basically just have to divide by the numbers to get z by itself. If you have any questions please comment.
Help! What is 5 - x = 8
Answer:
x = -3
Step-by-step explanation:
hope this helps!!
which mapping diagram does NOT represent a function from x > y ?
Answer:
A
Step-by-step explanation:
In a function, each x value must have a singular y value. This means that one x-value (the values on the left) may not have a line pointing to 2 different y-values (the values on the right). In the first relation, the x-value of 6 points to both 4 and 6. This means that the value repeats, and in a function x-values cannot repeat.
However, y-values can repeat. So, situations like that seen in D, where both the x-values of 2 and 4 equal the y-value of 6 are fine.
Answer:
It's A
Step-by-step explanation:
GivenAC ⊥ BD , complete the flowchart proof below. Note that the last statement and reason have both been filled in for you. please giving brialist!!!
Answer:
Here you go!!!!! Its correct let me know if you need any more problems for me to try and solve!!!
Step-by-step explanation:
PLS HELP!!! WILL MARK BRAINLIEST!!
Answer:
All real numbers
Step-by-step explanation:
It can go on to infinity.
Hope that helps
PLEASE HELP ME!!!!!!!
Answer:
x=6
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
In a teacher's math course, a linear regression line was calculated to predict
a student's final exam score from the score he received on the midterm. The equation was
Y = 25.5 + 0.82 where y is the final exam score and x is the score on the midterm. AJ scored 90 on the first test. AJ actually scored 99 on his final exam. What is the value of his residual?
A. -1.5
B. 1.5
C. 95
D. 97.5
E. None of these
The given equation is the best line that approximates the linear
relationship between the midterm score and the score in the final exam.
AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. E. None of these.Reasons:
The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]
Where;
[tex]\hat y[/tex] = Final exam score;
[tex]\hat x[/tex] = The midterm score;
AJ score in the first test, [tex]\hat x[/tex] = 90
AJ's actual score in the exam = 99
Required:
The value of AJ's residual
Solution:
By using the regression line equation, we have;
The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3
The residual score = Predicted score - Actual score
∴ AJ's residual = 99.3 - 99 = 0.3
AJ's residual = 0.3
Therefore, the correct option is option E;
E. None of theseLearn more about regression line equation here:
https://brainly.com/question/9339658
https://brainly.com/question/7361586
https://brainly.com/question/14747095
Select the correct answer from each drop-down menu.
Answer:
so sorry i don't know the answer
if I have five candies from the box containing 9 candies I ate 5/9 of all candies so 5 is what part of 9 is 3
Answer: 1/3?
Step-by-step explanation:
The wording is a bit confusing. ". . . so 5 is what part of 9 is 3 . ." seems to be missing some portion of the sentence.
You ate 5/9 of the candies. There were 9 and you consumed 5. I don't know what you are asking in " . . what part of 9 is 3." 3 is 3/9, or 1/3.
Twice jack’s age plus 5 is 21.write and solve an equation.how old is jack
Answer:
8
Step-by-step explanation:
If j represents Jack's age, we have ...
2j +5 = 21
2j = 16 . . . . . . subtract 5
j = 8 . . . . . . . . divide by 2
Jack is 8 years old.