Answer:
12.
Step-by-step explanation:
12^1/2 * 12^1/2
= 12^(1/2 + 1/2)
= 12^1
= 12.
The line segment AB with endpoints A (–3, 6) and B (9, 12) is dilated with a scale factor 2∕3 about the origin. Find the endpoints of the dilated line segment. answers: A) (4, –2), (6, 8) B) (–2, 4), (6, 8) C) (–2, 4), (8, 6) D) (2, 4), (6, 8)
Answer:
B. The endpoint of the dilated line is (-2,4),(6,8)
Step-by-step explanation:
Given
Line segment AB
Endpoints: A(-3,6) and B(9,12)
Scale Factor: 2/3 about the origin
Required
Find the end points of the dilated line
From the question, we understand that the line segment is dilated about the origin;
The keywords about the origin implies that, to get the endpoints of the dilated line, we simply multiply the coordinates of of the original line by the scale factor;
This is shown below;
[tex]For\ A = (-3,6);[/tex]
The new endpoints become
[tex]A' = \frac{2}{3} A[/tex]
[tex]A' = \frac{2}{3} (-3,6)[/tex]
[tex]A' = (\frac{2}{3} * -3, \frac{2}{3} * 6)[/tex]
[tex]A' = (\frac{2* -3}{3}, \frac{2 * 6}{3})[/tex]
[tex]A' = (\frac{-6}{3}, \frac{12}{3})[/tex]
[tex]A' = (-2, 4)[/tex]
[tex]For\ B = (9, 12);[/tex]
The new endpoints become
[tex]B' = \frac{2}{3} B[/tex]
[tex]B' = \frac{2}{3} (9, 12)[/tex]
[tex]B' = (\frac{2}{3} * 9, \frac{2}{3} * 12)[/tex]
[tex]B' = (\frac{2* 9}{3}, \frac{2 * 12}{3})[/tex]
[tex]B' = (\frac{18}{3}, \frac{24}{3})[/tex]
[tex]B' = (6, 8)[/tex]
Hence, the endpoint of the dilated line is (-2,4),(6,8)
Answer:
3/2
Step-by-step explanation:
The shorter leg of a right triangle is 21 feet less than the other leg. Find the length of the two legs if the hypotenuse is 39 feet.
Answer:
leg 1= 36 feet
leg2 = 15 feet
Step-by-step explanation:
Hi, we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.
leg1 = x
leg2 = x-21 (21 feet less than the other leg)
Replacing with the values given:
39^2 = x^2 + (x-21)^2
1,521 = x^2 + x^2 -42x +441
0 = 2x^2 -42x +441-1,521
0= 2x^2 -42x -1,080
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a (quadratic formula)
Replacing with the values given:
x=-(-42)± √(-42)²-4(2)-1080] /2(2)
x= 42± √10,404] /4
x = 42± 102 /4
Positive:
x = 42+102 /4 = 36
leg 1= 36
leg2 = 36-21 =15
Feel free to ask for more if needed or if you did not understand something.
The length of shorter leg is 15 feet and other leg is 36 feet.
Pythagoras theorem:Let us consider that, length of shorter leg is x feet.
So that, length of other leg is [tex](x+21)[/tex] feet.
It is given that, the hypotenuse is 39 feet.
Apply Pythagoras theorem,
[tex]x^{2} +(x+21)^{2} =(39)^{2}\\ \\x^{2} +x^{2} +441+42x=1521\\\\2x^{2} +42x-1080=0\\\\x=15 ,-36[/tex]
Since, side can not be negative.
So that, we have to consider x=15 feet.
Length of other leg[tex]=x+21=15+21=36feet[/tex]
Learn more about the Pythagoras theorem here:
https://brainly.com/question/343682
Please help me with 1 more question ill give good ratings please!
Answer:
(4, - 4 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(1, - 1 ) → (4(1), 4(- 1)) → (4, - 4 )
If 5 deli sandwiches cost $29.75, how much will 8 sandwiches cost?
Question 10 options:
a)
$37.75
b)
$29.75
c)
$0.16
d)
$47.60
Please Answer Quick!!
Write 2 2/3 as an improper fraction. Then multiply the improper fraction by 1/4. Write the product as a reduced fraction.
Answer:
2 2/3 as an improper fraction is 8/3
8/3 × 1/4 = 2/3
Consider the quadratic function f(x) = x2 – 5x + 6.
What are the values of the coefficients and constant in the function?
a=
b =
с =
a=1
b=-5
c=6
Coefficient is very easy. Just take the number in front of the constant x
Answer:
a = 1
b = - 5
c = 6
Step-by-step explanation:
f(x) = ax² + bx + c
f(x) = x² - 5x + 6
a = 1
b = - 5
c = 6
Help. Will mark brainiest
Answer:
Step-by-step explanation:
The third, fifth and sixth expressions (from the top) are NOT polynomials, and the reason in each case is that the expression has one or more negative powers of x in it.
Can you people help me please
Answer:
A: 5/23
Step-by-step explanation:
First, lets take the total amount of coins in the jar: 8 nickels, 10 dimes, 6 quarters, and 22 pennies- for a total of 46 coins.
The question is asking what the odds of pulling a dime are.
Since there is 46 coins in the jar, you can just do a fraction and set it up like this:
10
46
From there just simplify the fraction, 10 / 2 = 5, 46 / 2 = 23. The problem can't be simplified further, so the answer you originally had was correct. 5/23
Hope this helps, give brainliest pls blah blah blah
The diameter of a circle is 5ft. Find the circumference to the nearest tenth
Answer:
Answer is 16 ft.
The answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]given \: that \: \\ diameter \: of \: circle \: = 5 \: ft \\ then \: radius \: = \frac{5}{2} \: ft \\ we \: know \: that \\ circumferece = 2\pi \: r \\ on \: substiuting \: r= \frac{5}{2} \: ft \ \\ in \: formula \\ circumferece = 2\pi \times \frac{5}{2} \\ = 5\pi \\ substiuting \: \pi = 3.14 \\ = 5(3.14) \\ = 15.7079 \\ = 15.708 \\ when \: it \: is \: rounded \: off \: to \: nearest \: tenth \\ we \: get \: 16 \: ft\: as \: the \: answer.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
The circumference of the circle having a diameter of 5 ft will be 15.7 ft.
What is circumference?
The easiest way to find the perimeter for any shape is to add up the lengths of all the sides, but a circle only has one side, so that isn't possible. If you don't know its circumference, you also don't know the length of that side.
Fortunately, we can use a formula that uses other properties of a circle to find its circumference. In fact, there are two different formulas for circumference we can use and they look like this:
C = 2πr
Here the diameter of the giver circle is 5 ft so the radii will be 2.5 ft
By putting the value of radius in the formula we get
[tex]C=2\pi r[/tex]
[tex]C=2\pi \times 2.5=15.7\ ft[/tex]
Hence the circumference of the circle having a diameter of 5 ft will be 15.7 ft.
To know more about circumference follow
https://brainly.com/question/20489969
A new club sent out 195 coupons to boost sales for next years memberships they provided four times as many then to existing members how many coupons that they sent to existing members
Answer:idk
Step-by-step explanation:
sorry
Which graph represents the solution for the equation 1/6 x = -2x + 5?
what is the measure of DAB
It's known as exterior angle theorem...The sum of angleB + angle C is equal to angle DAB....
That means 65+61 = 126...
Angle DAB =126
Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answer:
6.0869 mph
Step-by-step explanation:
Nina:
8 km: 45 mins
Jo:
8 km: 49 mins
Speed = distance / time
Speed= 8 / 49
how to solve x - 7 = -13
Answer:
x = -6
Step-by-step explanation:
to solve this you can just add 7 to both sides of the equation.
x -+7 = -13
+7 +7
x = -6
this works because since it puts the x by itself, the other side of the equation is then equal to x and typically in equations with variables you solve for the variables.
hope it helps!
Use the distributive property to factor out y.
5y-3y + 12
The new expression becomes
O By+ 12
0-2y+ 12
0 2y+ 12
O 147
________________________________
5y-3y+12
=2y+12
So the new expression becomes 2y+12
hope it helps
Good luck on your assignment
________________________________
Answer:
2y+12
Step-by-step explanation:
Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric
2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b
P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY
Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
It is provided that:
Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.The probability of tail in both cases is:
[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex](1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]
Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Answer:
Answer is C
Step-by-step explanation:
The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)
Help quickly! Please find X
Answer:
About 4.5
Step-by-step explanation:
Since the full base has length 8, half of it must have length 4. Now, using the Pythagorean theorem, you can find x:
[tex]x=\sqrt{6^2-4^2}=\sqrt{36-16}=\sqrt{20}\approx 4.5[/tex] or answer choice D
Hope this helps!
Answer:the answer is 4
Step-by-step explanation:
I will give the brainiest answer
Answer:
D
Step-by-step explanation:
This net when folded, will become a triangular prism, which is only represented by option D.
What is the solution to this equation?
2x + 3 = x − 4
Answer:
-7
Step-by-step explanation:
2x+3=x-4
Let's start by subtracting 3 from both sides
2x=x-7
Now, subtract x from both sides
x=-7
Let's plug it in to make sure!
2(-7) +3= (-7)-4
-11=-11
Answer:
x= -7
Step-by-step explanation:
You subtract both sides by x meaning the x on the right side will turn to zero and then you subtract both sides by 3
Could someone help what is the variable in “8y3”?
Answer:
y
Step-by-step explanation:
The variable in 8y^3 is y because a variable is a number that we don't know yet, and that is the only one.
CAN 10/12 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
CAN 7/16 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
CAN 2/9 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
CAN 1/8 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
Answer:
No
Yes
No
No
Step-by-step explanation:
Can someone plzz help me on thiss!
Answer:
A
Step-by-step explanation:
because it goes up constantly by 12
If a fair die is rolled four times, which of the following is closest to the probability that at least one
roll will show the number 4?*
1) 17%
2) 67%
3) 52%
4) 36%
Answer:
Answer is 67%
Step-by-step explanation:
If you want to get the number four from 4 rolls the chances would be
1st roll = 1/6 (16.667%)
2nd roll = 2/6 (33.333%)
3rd roll = 3/6 (50.000%)
4th roll = 4/6 (66.667%)
So the answer is 67%
Find the domain and range of the relation. {(−7,−18),(−23,21),(4,13),(−17,22),(2,−10)}
Answer: Domain = all x values and Range = all y values
Step-by-step explanation:
The domain of a function is all the allowed x values that make the function true. Luckily you were already given the domain. Its all the x values.
The range of a function is pretty much all the allowed y values of a function. Or, what y values the function can be equal to. So that's just all the y values
When listing the domain and range, you generally want to do it from least to greatest and you do not want to repeat any values
Answer:
D:{ -23,-17,-7,2,4}
R:{-18,-10,13,21,22}
Step-by-step explanation:
The domain is the input
D:{ -7,-23,4,-17,2}
We normally put them in numerical order
D:{ -23,-17,-7,2,4}
The range is the output
R:{-18,21,13,22,-10}
We normally put them in numerical order
R:{-18,-10,13,21,22}
Alex measured the rainfall on his property to be 10.5 cm in June which he calculated to be a 35% increase compared to the previous month. how much had it rained in may explain the steps you took to turn in the solution
Answer: 3.675 cm
Step-by-step explanation:
June was 35% more compared to May
35% of 10.5 cm = 3.675 cm in May
Find the slope of the line that passes through the given points.
(9,1) and (9,5)
The answer is 4/0 or indefinite.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦. What is the value of x?
Answer:
Central Angle OPQ = Arc OQ = 82°
5x - 3 = 82°
5x = 85°
x = 17 degrees
Step-by-step explanation:
Rewrite using a negative exponent.
5/x ^2
Can someone help me?? Please
Answer:
3 lunches
Step-by-step explanation:
2 Points
What is the slope of the line that contains the points in the table?
y
23
-5
-2
14
1
5
3
A. 3
B. -100
D. -3
Answer:
D. -3
Step-by-step explanation:
The table is:
x | y
-5 | 23
-2 | 14
1 | 5
To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:
slope = (y2 - y1)/(x2 - x1)
Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:
slope = (5 - 14)/(1 - (-2)) = -3
