Answers
[tex]\text{Hello there! :)}[/tex]
[tex]x = 8\\\\AB = 128 \text{ units}[/tex]
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[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]
[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]
[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]
[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]
[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]
[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]
[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]
Related Questions
An apple pie is divided into eight equal slices with each slice being 280 calories. How much calories are in the entire pie
Answers
Answer:
2240
Step-by-step explanation:
280*8= 2240
Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
Answers
Answer:
54.6
Step-by-step explanation:
42 = 70%
100% - 70% = .30%
42 x 1.3 = 54.6
1. Which set(s) of numbers does -87 belong to?
Answers
Brianna is playing darts. So far, she has hit the bullseye 6 times and missed the bullseye 27
times. Considering this data, how many bullseyes would you expect Brianna to get during her
next 88 tosses?
Answers
-5 1/3 divided by 2 3/4
Answers
Hey there!☺
[tex]Answer:\boxed{-1\frac{31}{33}}[/tex]
[tex]Explanation:[/tex]
[tex]-5\frac{1}{3}/2\frac{3}{4}[/tex]
Divide both fractions.
[tex]\frac{-64}{33}[/tex]
Simplify the improper fraction.
[tex]-1\frac{31}{33}[/tex]
[tex]-1\frac{31}{33}[/tex] is your final answer.
Hope this helps!
A bag contains n cards, each having numbers (1,2,3...,n) written on it. If all numbers are used, the probability of drawing a card with a number less than or equal to 4 is 1/6. How many cards are in the bag?
Answers
Step-by-step explanation:
There are 4 cards less than or equal to 4.
1/6 = 4/n
n = 24
HEEEEEEEEEEEEEEEELLLLLLLLLLLLLP :(
Answers
If x is a Poisson random variable with a mean of 10, what is the probability that x is greater than 6?
Answers
Answer:
Step-by-step explanation:
6
Order the fractions from least to greatest. 2/3 ,4/9,5/6,7/12
Answers
Answer:
4/9 , 7/12 , 2/3 , 5/6
Step-by-step explanation:
2/3 × 12/12 = 24/36
4/9× 4/4= 16/ 36
5/6 × 6/6 = 30/36
7/12× 3/3 = 21/ 36
Complete the graduated commission problem: You earn 20%
commission on the first $500 of sales, 25% commission on the next
$1000 of sales, and 30% commission on all sales over $1500. If you sold
$1940, what is your total commission?
Answers
Answer: I'll give you both the percentage and dollar amount. 75% = $144
Step-by-step explanation: first, I added up all the percentages to total 75%. then I took the total sales, and divided that by .75 (75% in decimal form), so:
1940 x .75 = 1455
1940 - 1455 = 144
PLZ I NEED HELP A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
a.0.6748 centigrams
b.6.748 centigrams
c.67,480 centigrams
d.674,800 centigrams
Answers
Answer:D
Step-by-step explanation:
Answer:
b i think
Step-by-step explanation:
7/8 + (-3/4) + (-7/-8)+ 3/4
Answers
Answer:
1.75 or 1 3/4
Step-by-step explanation:
7/8 + (-3/4) + (-7/ -8)+ 3/4
Simplify
7/8 -3/4 -7/-8 +3/4
We can get rid of -3/4 + 3/4, because together they = 0.
7/8 - 7/-8
So then we divide and subtract and get
1.75 or 1 3/4
X2 - X - 12
what's the answer for this question i am stuck
Answers
Answer:
not enough info
Step-by-step explanation:
not enough info
dives from a platform that is 5 meters above water. dive takes her 2.5 below the surface of the water. How far does 's dive take ?
Answers
Answer:
7.5 meters
Step-by-step explanation:
Stay safe!!! Stay 6 feet!!
Answer:
its 7.5
i got it right
hat is the quotient of 78.3 ÷ 3.48?
Answers
Answer:
a answer to a division problem
Step-by-step explanation:because thats have it is U-U
Answer:
The quotient is 22.5
Step-by-step explanation:
78.3/3.48 783/10/348/100 783/10/2^2*3*29/2^2*5^2 which gives you 45/2 divide that and it gives you 22.5 as your answer
Hope this helps
Which of the following statements is false? A. If a number is a natural number, then it is rational. B. If a number is a whole number, then it is rational. C. If a number is a fraction, then it is rational. D. If a number is an integer, then it is irrational.
Answers
Answer:d bc its integers a rational not irrational
Step-by-step explanation:
Your welcome
Answer:
d
Step-by-step explanation:
i got it right
We say that E is an indicator functions for the event A if I = {1 if A occurs 0 if A^c occurs Find E[I]. Compare the indicator function to a Bernoulli random variable.
Answers
Answer:
Step-by-step explanation:
Bb
How do u write 200+9+07+0.01 In written form
Answers
Answer:
297.01 In
Step-by-step explanation:
if f(x)=2x-1 what does f(10) equal
Answers
Answer:
19
Step-by-step explanation:
Step 1:
x = 10
Step 2:
2 ( 10 ) - 1
Step 3:
20 - 1
Answer:
19
Hope This Helps :)
Write this ratio as a fraction in lowest terms
60 minutes to 70 minutes
Answers
If a class has 12 boys and 4 girls, what is the ratio of boys to girls written as a decimal? 0.33 0.75 3 4
Answers
Answer:
Pretty sure it's 3
Answer:
C 3
Step-by-step explanation:
Which set of ordered pairs does not represent a function
Answers
The Second one {(-8,-7), (4,-2), (2,9), (-8,8)}
Step-by-step explanation:A function only gives ONE out put for a given value. But the second set has two outputs if we input -8, it gives you -7 and 8 so this must not be a function.
The sample mean is an example of ____.
(A) interval estimation
(B) point estimation
(C) confidence point
(D) confidence
Answers
Answer:
B) point estimation
Step-by-step explanation:
Sample mean is an example of point estimation. It is a point estimation of the population mean.
A point estimate of a population parameter is defined as one value of a statistic. The sample mean is regarded as the best point estimate of the population mean
What is 6 times 6? #ifyouknowitquestion!
Answers
Answer:
36
Step-by-step explanation:
Determine what to add to make the trinomial a perfect square. x2+8x+___
Answers
Answer: 16
Step-by-step explanation:
For a perfect square each factor is identical.
Now, we have to find a number that adds to get 8.
The only option is (x+4)(x+4). When you distribute, you get x²+8x+16.
Now, we know that the missing number is 16.
Daniel bought a pokemon card at a store for $10. He sold the card for $20.
Later he bought the same card back for $30 and then sold it again for $50.
How much money did he make or lose on the pokemon card?
Answers
Answer:
Daniel gained 30 dollars.
Step-by-step explanation:
-10 + 20 = 10
10 - 30 = -20
-20 + 50 = 30
Hope this helps :)
True or false: Supporting evidence refers to examples that can be used to help visualize why a statement is true. (1 point) This statement is false. Supporting evidence refers to examples that can be used to help visualize why a statement is false. This statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is false.
Answers
Answer:
The answer is: This statement is true :)
Step-by-step explanation:
Which of these distributions is most likely to show data collected while studying the number of the plates people use while eating at an all you can eat buffet explain your reasoning
Answers
Answer: The second distribution.
Step-by-step explanation:
We should to expect to see a large density for the lowest number of plates (because is more common to eat 1, 2 or 3 plates than more)
For example, in the first distribution, we can see a normal distribution with a mean of 6.
This does not really make sense, because 6 plates is really a lot.
The third distribution has two peaks, one at 1 plate that has a lot of sense, and another at 10 plates, so this also does not have really a lot of sense (again, 10 plates is really a lot)
The fourth distribution seems to be even for all the number of plates, which would say that there is almost the same number of customers that eat 1 or 2 plates than the number that eats 9 or 10. This does not seem really logical, so we can assume that this is incorrect.
The second distribution is the correct one, because we see a larger density at a smaller number of plates (with a maximum at 2 plates) and the number of customers starts decreasing as the number of plates decreases (in this case, we can see that no one ordered more than 9 plates, which makes a lot of sense)
1). Use the same ratio as 16 people in 25 square feet to estimate the size of a
crowd that is 10 feet deep on both sides of the street standing along a 1-mile
section of a parade route.
Answers
Answer:
33,792 people
Step-by-step explanation:
The parade route is rectangular in nature. The area of the parade route will be expressed as:
Area = Length × Breadth
If the route is 10feet deep, the length of the route = 10feet
Is the section of the route is 1 mile, the width of the parade route = 1mile × 5280ft = 5280ft
Area of the parade route = 10×5280 = 52,800ft²
If 16 people in 25 square feet is used to estimate the size of a crowd, the number of a crowd in a 52800ft² parade route is expressed as;
25ft² = 16
52800ft² = x
Cross multiply
25×x = 16×52800
25x = 844,800
x = 844,800/25
x = 33,792
Hence there are 33,792 people on 1-mile section of a parade route that is 10ft deep.
True or False. All Rational Numbers are also Integers.
Answers
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The circle of real numbers. Natural goes into Whole, Whole goes into Integers, and intergers go into rational.