Answer:
x or AB = 9
Step-by-step explanation:
Use Pythagorean Theorem to solve for missing side.
Pythagorean Theorem: a² + b² = c²
Plug our sides in to get AB² + BC² = AC²
We are solving for AB so we arrange the equation to get:
AB² = AC² - BC²
Solve for AB:
AB² = (√117)² - (6)²
AB² = 81
AB = 9
x or AB = 9
A group of 20 friends plays a card
game. The game can be played with
2 or more teams of equal size. Each
team must have at least 2 members.
List the possible numbers and sizes
of teams.
There can be two groups of 10 players on each team, or four groups of 5 on each team.
Write a problem based on the given information.
7.) c = cost per pound of plain coffee beans
C + 3 = cost per pound of flavored coffee
beans 2c + (c + 3) = 21
The polynomial of degree 4, P ( x ) , has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 2 . It goes through the point ( 5 , 336 ) . Find a formula for P ( x ) . P ( x ) =___
Show your work
We want to find a polynomial given that we know its roots and a point on the graph.
We will find the polynomial:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:
p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)
Here we know that the roots are:
x = 1 (two times)x = 0x = -2Then the roots are: {1, 1, 0, -2}
We can write the polynomial as:
p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))
p(x) = a*(x - 1)*(x - 1)*(x + 2)*x
We also know that this polynomial goes through the point (5, 336).
This means that:
p(5) = 336
Then we can solve:
336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5
336 = a*(4)*(4)*(7)*5
336 = a*560
366/560 = a = 183/280
Then the polynomial is:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
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Write the equation of a line that
goes through the points (4,4) and
(-1,9).
Answer:
y+2 = (-1/2)(x-3)
Step-by-step explanation:
Help please 6th grade math
Answer:
You would just plot it on the 1
the absolute value of positive 1=1
HELP PLSSSS!!! I will mark you as brainlyist
27. Representative Sample? You want to determine the average number of classes skipped by
first-year students at a small college during a particular semester. State whether each of the
following samples is likely to be representative and explain why or why not.
Sample 1: 100 first-year students who belong to a sorority or fraternity
Sample 2: 100 first-year students who play a varsity sport
Sample 3: The first 100 first-year students whom you meet at the student union
Sample 4: 100 first-year students taking honors humanities,, courses
A sample is said to be representative if the selection made form have population is free of bias. Evaluating the selection criteria listed above :
Sample 1 will not likely be representative as students who do not belong to either a sorority or fraternity are automatically exempted from the selection. Sample 2 will not likely be representative because not all students play a varsity sport, hence students who do not play a varsity sport won't have a chance of being selected. Sample 3 is a convenience sampling technique, they often exhibit sampling bias hence, sample 3 is not representative of the population. Sample 4 will not likely be representative as students taking other courses aside humanities have no chance of being selected.Therefore, all the sampling methods are not representative of the population of first year student.
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Can somebody help me with social studies since nobody will?
Answer:
Yes! Sure I will, just follow me and I will follow you!
Then I get the notifications of your doubts.
Step-by-step explanation:
I love helping
Use the given figure (triangular)to find the length of x. x+14 28
Step-by-step explanation:
Answer. Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.
HELP THIS IS DUE IN A FEW HOURS!!!
Emery borrowed money from her brother to buy a new phone and is paying off a fixed amount each week.
After 2 weeks, she will owe $456, and after 5 weeks, she will owe $228.
Create an equation in point-slope form to represent this situation.
Step-by-step explanation:
you can see the full answer in Quizlet
Mrs. Sampson bought 8
packages of clay for a total of $32
for an upcoming art project. At
this rate, how much would 14
packages cost?
Answer:
$56
Step-by-step explanation:
cost of 8 packages of clay = $ 32
cost of 1 package of clay = 32 / 8 = $4
cost of 14 packages = 14*4 = $ 56
solve pls brainliest
Answer:
a) 5
b) 9
Step-by-step explanation:
The lines by the side decide absolute value, meaning distance from zero. for question A, simply add the integers to get -5. With the absolute value lines surrounding the question, you must make the answer 5 instead of -5 to show the distance from zero. In easier words, absolute value is just the positive number of an integer. For question B, the absolute value is surrounding just the -7, making it a positive 7. So, you simply just add 7 + 2 for question B, getting 9.
Can someone help with this question fast ? <3
Answer:
x=7
Step-by-step explanation:
x+x+3+2x-1=30
4x+2=30
4x=30-2
=28
x=28÷4
=7
Hey ! Can anyone help me with this question please . Thank you !
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Corresponding angles in parallel lines are equal. (m// n)
Therefore,
[tex]4x-13 =x+8\\4x-x=13+8\\3x=21\\\frac{3x}{3} =\frac{21}{3} \\x=7[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Zayn puts garland around a square window. He uses 888 meters of garland.
What is the height of the window?
Answer:
222 meters
Step-by-step explanation:
Zayn puts a total of 888 meters of garland around a square window.
Because a square has all equal sides, divide the amount of garland he used by 4 to find how much is used per side:
888 ÷ 4 = 222
So, the height of the window is 222 meters.
Maureen paid 198.75 for a stereo system, plus a sales tax of 15.90. approximately what is the sales tax percent?
How to solve??
Answer:
The answer to your question is 13.5%
Step-by-step explanation:
Try It!
Suppose that Katie finished the race 0.13 second before Amy. What was Katie's
time in the race? Use an estimate to check that your answer is reasonable.
Choose the number sentence that illustrates the distributive property of multiplication over additional
Answer: A
Step-by-step explanation:
It distributed into 5x 4 and 5 x 9. Lemme get brainliest
Answer:
A
Step-by-step explanation:
Guys please help me i really need this right answer
Answer:
Step 2: Commutative Property
Step 3: Associative Property
Step-by-step explanation:
According to the Commutative Property of Addition: Two real numbers can be added in either order.
a + b = b + a
Therefore, she used the Commutative Property in Step 2.
In Step 3, she used the Associative Property, in which the grouping of the addends does not change the sum.
which equation does not belong with the other three A. y=-5x-1 B.2x-y=8 C. y=x+4 D. y= -3x+13
Answer:B
Step-by-step explanation:
All other equations solve for Y
How many 1/3 cup serving are there in 10/3 cups of dried beans
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The number of 1/3 cups of servings in 10/3 cups of dried beans is 10 cups of servings.
i.e
= 10/3 ÷ 1/3
= 10/3 x 3/1
= 10/3 x 3
= 3
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have
Number of dried beans = 10/3 cups
The number of 1/3 cup servings can be found by dividing the total number of cups of dried beans by 1/3.
The number of 1/3 cup servings:
= Number of dried beans cups ÷ 1/3
= 10/3 ÷ 1/3
= 10/3 x 3/1
= 10 cups servings
Thus,
The number of 1/3 cups of servings in 10/3 cups of dried beans is 10 cups of servings.
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what is the volume of the following figure. all of the cubes are visible
Answer:
Is there an image you can post? I dont see the figure.
15 Which line passes through the point (1.-4)? A x + y = 5 B.X + y = 5 c.xy=5 D.x-y=.5
Answer:
Step-by-step explanation:
A x + y = 5 1 + -4 = -3 Nope
B.X + y = 5 1 + -4 = -3 Nope same as A unless X is somehow not equal to x,
C. xy = 5 1(-4) = -4 Nope and does not even qualify as a line.
D. x - y = .5 1 - (-4) = 5 Nope unless you have a typo adding an unwanted decimal point
si a+b = 40; ab= 40 calcula a2 + b2
a² + b² = 1,520
Step-by-step explanation:
a + b = 40ab = 40a² + b²
= (a + b)² - 2ab
= 40² - 2(40)
= 1,600 - 80
= 1,520
If you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when he was first inaugurated. How old was President G.H.W. Bush when he was inaugurated?
Answer:
64Step-by-step explanation:32+14=46
Step-by-step explanation:
lf you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when ...
1 answer
Age of President G.H.W. Bush is 37.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Age of President Bush = 54,
So, Age of President Clinton
=(54/2) + 14
=27+14
=41
Now, Age of President G.H.W. Bush
=46/2+14
=23+14
=37
Hence, the age of President G.H.W. Bush is 37.
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IM MARKING BRAINLEST IF U HELP PLEASE!!!
Angle A = 133 degrees
47 degrees and angle A are supplementary angles/a linear pair, which means that they add up to 180.
180 - 47 = 133
Angle B = 15 degrees
The sum of the interior angles in a triangle is 180.
a + 32 + b = 180
133 + 32 + b = 180
b = 15
Angle D = 58 degrees
32 degrees and angle D are complementary angles, which means that they add up to 90.
90 - 32 = 58
Angle C = 75 degrees
The sum of the interior angles in a triangle is 180.
c + d + 47 = 180
c + 58 + 47 = 180
c = 75
Hope this helps!! :)
(5 - 2i) + (-4 + 81)
O A. 5i
B. 7i
O c. 1-6
D. 1 + 6
Answer:
82 - 2i
Step-by-step explanation:
(5 - 2i) + (-4 + 81)
5 - 2i + 77
= 82 - 2i
1 + 6i
we open the brackets to give us
5 - 2i - 4 + 8i
collecting like terms, we have,
-2i + 8i + 5 - 4
6i + 1
or
1 + 6i
Find an angle between 0 and 2 that is coterminal with the given angle.
Answer:
40degres
Step-by-step explanation:
8% of what number is 1.2
16 teams of hockey are playing. each team plays two matches against another team. how many matches are played
Answer:
240
Step-by-step explanation: