Given a triangle with vertices U(6, −1), W(0, −5), and X(4, −9), and Y is the midpoint of segment UW and Z is the midpoint of segment WX comma what is the length of YZ?
Answers
Here we have to use the distance formula
Please see the image attached with the solution , for the figure
Firstly we have to find the length of line segment XU
and the triangle has a property that the length of line segment that connects the midpoint of the two sides is half the length of the third side.
It means here
Length of YZ = half the length of XU
So lets find the length of XU
[tex] \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}= \sqrt{(6-4)^2 +(-1+9)^2} =\sqrt{4+64} [/tex]
[tex] =\sqrt{68} [/tex]
[tex] =2\sqrt{17} [/tex]
Now the length of YZ = half of [tex] =2\sqrt{17} [/tex]
So length of YZ = [tex] =\sqrt{17} [/tex]
Related Questions
A kilometer is more than one half a mile true or false!
Answers
1 Kilometer is 0.621371 miles
1 km = about 0.62 miles
Hope this helps!
In 2010, Josh purchased a house for $110,000. In 2014, the house was valued at $105,000. What is the rate of change for the value per year?
Answers
Final answer:
To find the rate of change for the value of Josh's house per year, subtract the initial purchase price from the current value, then divide by the number of years that have passed. The result shows the house's value decreased by $1,250 per year.
Explanation:
To calculate the annual rate of change for the value of Josh's house, you would subtract the final value of the house from the initial value and then divide by the number of years that have elapsed. This calculation gives you the change in value per year. In this case, the initial value of the house in 2010 is $110,000 and the final value in 2014 is $105,000. There are 4 years between 2010 and 2014.
Rate of change per year = (Final Value - Initial Value) / Number of Years
Rate of change per year = ($105,000 - $110,000) / 4
Rate of change per year = (-$5,000) / 4
Rate of change per year = -$1,250
Therefore, the value of Josh's house decreased by $1,250 per year from 2010 to 2014.
draw and label a figure that has four points two rays and one right angle
Answers
Lucy wants to make different types of cheesecake. Each cheesecake uses 2/3 pound of cream cheese. She has 2 pounds of cream cheese. How many cheesecakes can she make?
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X+23=-23 solve for x pls help !!!!
Answers
x = -23 - 23
x = -46
Please help please. Help
Answers
What role do plants have in the carbon-oxygen cycle?
a) They release oxygen into the air as a waste product of photosynthesis.
b) They release carbon dioxide into the air as a waste product of photosynthesis.
c) They absorb oxygen from the air to use during photosynthesis.
d) They do not have a role in the carbon-oxygen cycle.
Answers
Hope This Helps you!
Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
A.Each pair of vertical angles is congruent.
B.Each pair of corresponding angles is congruent.
C.Each pair of supplementary angles is congruent.
D.Each pair of alternate interior angles is congruent.
Answers
____________________________________________________
[A]: "Each pair of vertical angles is congruent."
____________________________________________________
[B]: "Each pair of corresponding angles is congruent." ; AND:
____________________________________________________
[D]: "Each pair of alternate interior angles is congruent."
____________________________________________________
For the data set summarized in the boxplot, identify the interquartile range (IQR).
A) 22.0
B) 37.5
C) 57.0
D) 59.0
Answers
The interquartile range of the data set summarized in the boxplot is 22.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. On a boxplot, the third quartile is the third line on the box and the first quartile is the first number on the box.
Interquartile range = 70 - 48 = 22
To learn more about box plots, please check: https://brainly.com/question/27215146
What is the volume of this sphere?
Answers
----------------
or 36pi cm^2
volume = 36π cm³
Explanation:
volume of the sphere can be calculated using the following rule:
Volume = [tex] \frac{4}{3} [/tex] * π * (radius)³
We are given that the radius = 3 cm
Substitute in the equation to get the volume as follows:
volume = [tex] \frac{4}{3} [/tex] * π * (3)³
volume = 36π cm³
Hope this helps :)
A student reports three trials to measure the density of an unknown metal. The percent error in these trials is given in the table. Trial Count Percent Error Trial 1 0.05 Trial 2 0.02 Trial 3 0.01 Indicate the most accurate valu
Answers
Hope this helps!
Frank’s electric bill has a cycle day of the 3rd and a due date 8 days later with a one day grace period. What happens if Frank pays his electric bill on the 12th of the month?
Answers
Frank’s electric bill has a cycle day of the 3rd
And the due date of the bill is 8 days later
that is 3+8 = 11th of that month is the due date
The bill is to be paid by 11th
But 1 day grace period is given
So
11+1
=12
If one pays the bill by 12th of that month , then no penalty will be imposed.
And
Frank pays his electric bill on the 12th of the month
So no penalty will be imposed.
besides the 90 degree angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13
Answers
Cosine= adjacent/hypotenuse tangent= opposite/adjacent. This should help you find your answers.
Answer:
b.) 23° and 67°
Step-by-step explanation:
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
a.) 18° and 39°
b.) 23° and 67°
c.) 43° and 47°
d.) 65° and 25°
15% of 20 is _____. a3,b30,c 300
Answers
1% of 20 = 20/100.
20/100 = 0.2
Multiply 15 and 0.2. . .
15 x 0.2 = 3 <--------------
The correct answer to your question is option "A."
15% of 20 is 3.
Hope this helps you.
Have a great day!
What are the roots of the polynomial equation? x² + 7x + 12 = 0 Enter your answers in the boxes. x1= x2=
Answers
.. (x +3)(x +4) = 0
By the zero-product rule, the roots are
.. x1 = -4
.. x2 = -3
x= -3, -4
using the image below find the y value for the point that divides the line segment cd into ratio 4:1
Answers
Answer:
A) 2
Step-by-step explanation:
In recent years, 23.8% of all registered doctors were female. If there were 57,800 female registered doctors that year, what was the total number of registered doctors?
Answers
To find out the number of registered doctors, we divide the number of female doctors by 23.8% as a decimal (which is just 0.238):
57,800 ÷ 0.238 = 242,857
-------------------------------------------------------------------------------------------------------------
Answer:
So there are 242,857 registered doctors.
Final answer:
To determine the total number of registered doctors, one can use the percentage of female doctors and the number of female doctors to calculate the overall total. By dividing 57,800 by 0.238, you find there were approximately 242,857 registered doctors.
Explanation:
The question asks for the total number of registered doctors, given that 23.8% are female and there are 57,800 female registered doctors. To find this, we use the formula:
Percentage (%) = (Part/Total) × 100
First, we express the percentage as a decimal by dividing it by 100, so 23.8% becomes 0.238. Next, we will rearrange the formula to solve for the Total:
Total = Part / Decimal Percentage
So we have:
Total = 57,800 / 0.238
Doing the calculation:
Total = 242,857 (approx.)
Therefore, the total number of registered doctors is approximately 242,857.
Ms. Johnson asked her class to write an equivalent
expression to
14d - 9 + 21k - 7dk + 2.
riley wrote the expression
7dk(2 - 3 - 1) _ 7
ahmad write the expression
7(2d + 3k - dk) - 7
Ariana wrote the expression
7k(2d - 3 - d) - 7
who is correct? explain how you know
Answers
To prove that 7(2d + 3k - dk) - 7 is equal to 14d - 9 + 21k - 7dk + 2
Please check this solution:
7(2d + 3k - dk) - 7 = 14d - 9 + 21k - 7dk + 2
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -9 + 2
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -7
Get the common variable which is 7.
7(2d + 3k - dk) - 7 = 7(2d + 3k - dk) - 7
For checking, we can simplify the equation...
from 7(2d + 3k - dk) - 7 = 14d - 9 + 21k - 7dk + 2
We simplify it to:
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -7
7 * 2d = 14d
7 * 3k = 21k
7 * - dk = -dk
Therefore,
7(2d + 3k - dk) - 7 is equal to 14d + 21k - 7dk -7
Can someone help me with A), B), and C)
Answers
.. y = 3f(x) -10
.. y = 3x -10 . . . . . . f(x) = x, here and in the rest of the problem.
B) The transformation is
.. y = (1/2)f(x) +4
.. y = (1/2)x +4
C) The transformation is
.. y = f(x) -1
.. y = x -1
Kenya has 2 hours to work a 100 problem math test.At what rate must she work in order to finish in 2 hours
Answers
Answer:
Kenya should solve the problems at the rate 0.83 questions per minute.
Step-by-step explanation:
Total number of hours Kenya has to work on 100 questions is 2 hours .
2 hours = 2x60=120 minutes.
Kenya has to work on 100 problems in 120 minutes .
In 1 minute Kenya can solve 100 ÷ 120= 0.83 questions per minute.
Kenya should solve the problems at the rate 0.83 questions per minute.
a) You want to buy a new sweatshirt. They normally cost 28.80, but you found one that's on sale for 40% off its normal price. How much will you pay, not including tax?
1) $16.18
2) $17.28
3) $18.38
4) $19.48
b) If you get 17 out of 20 questions correct on this test, what percentage will you get correct?
1) 100%
2) 95%
3) 90%
4) 85%
Answers
For question B, the answer if 4. You can divide 17 by 20 getting .85
write the rule for this pattern 5, 20, 80, 320
Answers
5 x 4 = 20
20 x 4 = 80
80 x 4 = 320
solve for q.
k=4pq^2
Answers
k/4p=q^2
q=(k/4p)^2
k = 4 p q^2
k = 4 p q^2 is equivalent to 4 p q^2 = k:
4 p q^2 = k
Divide both sides by 4 p:
q^2 = k/(4 p)
Take the square root of both sides:
Answer: q = sqrt(k/p)/2 or q = -sqrt(k/p)/2
What is the slope of the line of best-fit in the scatterplot below?
9/27
3/7
7/3
27/9
Answers
answer
7/3
Answer:
Option C is correct
7/3
Step-by-step explanation:
Formula for slope is given by':
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex] ....[1]
As per the statement:
The graph shows the best fit line scatter-plot.
Consider two points i.e
(3,12) and (6, 19)
Substitute these points in [1] we have;
[tex]\text{Slope} = \frac{19-12}{6-3}[/tex]
⇒[tex]\text{Slope} = \frac{7}{3}[/tex]
Therefore, the slope of the line of best-fit in the scatter plot is, 7/3
Dana has n quarters. Ivan has 2 fewer than 3 times the number of quarters Dana has. The expression n + 3 n−2 gives the number of quarters they have altogether. Which is another way to write this expression?
Answers
4n -2
Ms.Sherman is preparing 5 5/8 cups of rice for a family reunion, she plans to use 1/4 of a cup for each serving. How many servings of rice is Ms.Sherman preparing
Answers
It might be easier to see if we used friendlier numbers. If she has 10 cups total and uses 2 cups per serving she would have 10 / 2 = 5 servings.
Now, back to the numbers we were given. We need to divide 5 5/8 by 1/4. Let's first re-write 5 5/8 as an improper fraction (multiply 8 by 5 and add 5 to get 45 then place this over the already existing denominator of 8). 5 5/8 = 45 / 8.
The division we need to undertake is [tex] \frac{45}{8} / \frac{1}{4} [/tex]
To divide by a fraction we multiply by the reciprocal (what you get when you flip the fraction over) so our problem becomes [tex]( \frac{45}{8} )( \frac{4}{1} )[/tex]
We multiply across to get [tex]( \frac{45}{8} )( \frac{4}{1} ) = \frac{(45)(4)}{(8)(1)}= \frac{180}{8}=22.5 [/tex]
That is, she is making 22.5 servings. As a fraction this is 22 1/2
Which inequality's solution is graphed here?
A) 4 < x
B) 4 > x
C) 4 ≤ x
D) 4 ≥ x
Answers
the inequality solution represented in the graph is X> 4
then
x>4 is equal to 4< x
the answer is the option 4< x
If the function graphed is f(x), find f(1).
A.) -4
B.) - 1/4
C.) 0
D.) 4
***
Is it C.) 0 ???
Answers
Draw a vertical line through 1 on the x axis. Extend this vertical line as far up and down as you can.
Notice how the vertical line crosses the blue curve. Mark this point. Then draw a horizontal line from this point to the y axis. The horizontal line will touch -4 on the y axis. So that means the point (1,-4) is on the curve.
If the input it is x = 1, then the output is y = -4
So that's why the answer is choice A
which number dose 5 represent a value 10 times the value represented by 5 in 35,187
Answers
In 35,187, the digit 5 represents 50,000. Ten times this value is 500,000. Therefore, in the new number, the digit 5 represents 500,000.
To find the value represented by the digit 5 in the number 35,187, we need to consider its place value. In the given number, 5 is in the ten-thousands place, which means it represents 5 * 10,000 or 50,000.
Now, we're asked to find a number where 5 represents a value ten times that of its representation in 35,187. So, we need to multiply 50,000 (the value represented by 5 in 35,187) by 10.
50,000× 10 = 500,000.
Therefore, in the new number, the digit 5 represents 500,000.
To summarize, the number where 5 represents a value ten times its representation in 35,187 is 500,000.
complete question=
Which number represents a value 10 times the value represented by 5 in 35,187?
What is .58 as a fraction in simplest form
Answers
It is not currently in simplest form, and to do so divide each part by 2.
Then you have 29/50, which is the fraction in simplest form.
Hope this helps!