Answer:
3x + 8
Step-by-step explanation:
Since, WY bisects UV at Y.
Therefore,
UV = UY + YV
UV = 2x + 1 + x + 7
UV = 2x + x + 1 + 7
UV = 3x + 8
The measure of length UV given that UY = 2x +1 and YV = x+7 is 3x + 8
To bisect a given line means to divide the line into two equal parts.
If WY bisects UV at Y, then:
UY + YV = UV and UY = YV
Given the following parameters:
UY = 2x +1
YV = x+7
Required
UV
Substitute the given parameters into the formula shown above:
2x + 1 + x + 7 = UV
Collect the like terms
2x + x + 1 + 7 UV
3x + 8 = UV
Swap
UV = 3x + 8
Hence the measure of length UV is 3x + 8
Learn more here: https://brainly.com/question/17430417
if x+y=5,x-y=4,find the value of x²-y²
Answer:
20
Step-by-step explanation:
→ First find the value of x and y
x + y = 5
x - y = 4
→ Add the equations to cancel out the y's
2x = 9
→ Divide both sides by 2 to find the value of x
x = 4.5
→ Substitute x = 4.5 back into x - y = 4 to find the value of y
4.5 - y = 4
→ Minus 4.5 from both sides to isolate -y
-y = -0.5
→ Multiply everything by -1
y = 0.5
→ Substitute x = 4.5 and y = 0.5 into x² - y²
4.5² - 0.5² = 20.25 - 0.25 = 20
if alpha and beta are zeroes of the quadratic polynomial f(x) = x2-x-2 then find a polynomial whose zeroes are 2alpha + 1 and 2beta + 1
Answer:
Step-by-step explanation:
Hello, as alpha and beta are zeroes of
[tex]x^2-x-2[/tex]
it means that their sum is alpha+beta=1 and their product alpha*beta=-2.
The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4
and the product is (2alpha+1)(2beta+1)=4 alpha*beta + 2(alpha+beta) + 1 = 4 * (-2) + 2*(1) +1 = -8 + 2 + 1 = -5. so one of these polynomials is
[tex]\Large \boxed{\sf \bf \ \ x^2-4x-5 \ \ }[/tex]
Thank you.
Which of the following statements are true? The coordinates of point p (2,3) lie along the directed segment
Answer:
3
ehebehejhebehsueywbw
Answer:
It was number 2
Step-by-step explanation:
The one where P is located at (3,5)
Simplify the expression. (5+3)×4 8 17 23 32
Answer:
32
Step-by-step explanation:
BIDMAS
(5 + 3) = 8
8 x 4 = 32
need the answer asap!! thank you!!!
Answer: C
Positive and between 0.0 and 0.5
Work out 114 % of 818.07 kg Give your answer rounded to 2 DP.
Answer:
932.60 kg
Step-by-step explanation:
To find a percent of a number, change the percent to a decimal and multiply by the number.
114% of 818.07 kg =
= 114% * 818.07 kg
= 114/100 * 818.07 kg
= 1.14 * 818.07 kg
= 932.60 kg
Answer:932.60
Step-by-step explanation:
i had the same question on hegarty lol
f(x)=10. Find f^-1(x)
Answer:
See below.
Step-by-step explanation:
This question cannot be answered with the information that is given since we don't know what f(x) or f^-1(x) are.
What is the exact value of cos(-60°)?
Answer: 1/2
Step-by-step explanation:
cosine=adjacent/hypotenuse
Cos (-60)=1/2
This is a special triangle
see below as the ratio of each side
Hope this helps!! :)
Please let me know if you have any question
Can someone please help?
Answer:
Multiply by 3, 162
Step-by-step explanation:
2 x 3 is 6.
6 x 3 is 18.
18 x 3 is 54.
54 x 3 is.... you get the deal.
54 x 3 is 162.
1. Jean spent $37.50 for 500 paperclips. How much did he pay for each paperclip?
Answer:
Step-by-step explanation:
It's simple simply do
3750÷500=7.5
Answer:
0.075
Step-by-step explanation:
0.075x500=37.50
Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represent the height of Alice in m above or below the centre of the Ferris wheel. Relative to the centre of the Ferris wheel, what is the lowest height Alice achieves?
Answer:
Alice reaches 11 metres below the centre as lowest height.
Step-by-step explanation:
Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:
[tex]h(t) = 11\cdot \cos (12\cdot t)[/tex]
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h(t)[/tex] - Height with respect to centre, measured in metres.
If [tex]\cos (12\cdot t) = -1[/tex], then:
[tex]h_{min} = 11\cdot (-1)[/tex]
[tex]h_{min} = -11\,m[/tex]
Alice reaches 11 metres below the centre as lowest height.
Answer: 80m got it on edge
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after minutes of calls is , and the remaining credit after minutes of calls is . What is the remaining credit after minutes of calls?
Answer and Step-by-step explanation: Suppose remaining credit is y and time in minutes is x. To determine a value of y corresponding to a value of x, first find the equation for the function.
Since the function is linear, the equation is of the form: y = mx + b. To determine it:
1) Find slope, or inclination, of the line:
slope (m) = [tex]\frac{y_{b}-y_{a}}{x_{b}-x_{a}}[/tex]
where x's and y's are points of the function.
2) Determine the y-intercept, or b: Use a point of the function, replace them at the equation, y = mx + b, and find b.
3) The equation will be: y = mx + b
With the equation, replace x for the minutes the question is asking and calculate to find the remaining credit.
Th result will be a pair (x,y)
Susan plans to rent a bike in New Orleans to tour the city. The cost of the rental is $20 per day. The cost of a helmet is for as long as Susan needs the bike . Susan has 250 to rent a bike for 15 days. Does Susan have enough moneyExplain .
Susan does not have enough money.
20 times 15 will cost $300. Susan only have $250.
I'm not sure if this is correct.
solve for x -18+26=-2(x+2)
Answer:
x = -6
Step-by-step explanation:
-18 + 26 = -2(x + 2)
8 = -2x - 4
12 = -2x
x = -6
A product has a production cost function C(x)x and a revenue function R(x)x. Find and analyze the break-even quantity, then find the profit function.
A product has a production cost function C(x) =165x + 3630 and a revenue function R(x)= 220x. Find and analyze the break-even quantity, then find the profit function.
Answer:
the break-even quantity = 66
the profit function = 55x - 3630
Step-by-step explanation:
Given that:
C(x) = 165x + 3630
R(x) = 220 x
The Break-even quantity is C(x) = R(x)
∴
165x + 3630 = 220x
collecting the like terms, we have:
3630 = 220 x - 165 x
3630 = 55 x
[tex]x = \dfrac{3630}{55}[/tex]
x = 66
Thus, the break-even quantity = 66
The profit function = R(x) - C(x)
The profit function = 220x - 3630 - 165x
By rearrangement
The profit function = 220x - 165x - 3630
The profit function = 55x - 3630
(6−3x
2
−8x
4
−2x
3
)+(6+7x
2
)+(2−7x
3
+3x
2
)
What is the constant?
Answer:
14
Step-by-step explanation:
I tried to put the problem together as best as I could and i got the problem as (6-3x^2-8x^4-2x^3)+(6+7x^2)+(2-7x^3+3x^2)
That means that the constants are 6+6+2.
6+6+2= 14
Riley is saving up to buy a new television. She needs a total of $1,372.35. Riley has saved $200.55 already and earns $78.12 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television? A. 14 B. 16 C. 15
Answer: C. 15
Step-by-step explanation: You take the total amount that she needs: $1,372.35 and you subtract $200.55. Then you are left with $1171.1. This is the amount that she needs still. Then you take $78.12 and multiply it by 15. You get $1171.8. Then when you add $200.55 and $1171.8 you get $1171.1.
if you were to describe a translation of triangle ABC what information would you need to include your description
Answer:
In order to describe the translation of the triangle ABC we need to know the rule of translation, i.e. we need to know how many units to the left or to the right the x coordinate will move and how many units up or down the y coordinate will move
Step-by-step explanation:
You need to how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
The rule of translation, which states how many units the x coordinate will move to the left or right and how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.
Learn more about the Scale images here:
brainly.com/question/13194929
#SPJ2
what is the pattern between 5,3,9,7,13
Answer it takes away 2 than adds 3 and takes away 2 than instead of adding 3 on the fourth number it adds 6 so maybe it doubles the number it adds every time or it adds three onto the last number it added with and continues like that.
Step-by-step explanation:
The figure to the right has its congruent segments marked. Find
the measure of AB.
17 meters
B
5 meters
AB = meters
(Type an integer or a decimal.)
Answer:
AB = 17 meters
Step-by-step explanation:
Given that the triangle, ∆ABC, has 2 congruent sides that are indicated with a single marking on segment AC and segment AB, both segments would be of equal measure.
Therefore, since the measure of segment C is 17 meters, the measure of segment AB = measure of segment AC = 17 meters.
Segment AB = 17 meters. It is congruent to segment AC.
Answer:
13
Step-by-step explanation:
N this conversation the two people speak a total of 42 words in 21 seconds. When we have a comparison of two numbers with different units (like words and seconds), that is called a _______ .
Answer: I believe it would be called a rate.
Need help with 6 math problems please
Answer:
9) 60
10) 16
11) 12
12) 3
13) 60
14) 4
Step-by-step explanation:
9) (2)(5)(6)
(10)(6)
60
10) 4(5-1)
4(4)
16
11) 3+4+2+6
7+2+6
9+6
12
12) 3- (1-[tex]\frac{6}{6}[/tex])
3- (0)
3
13) 5(6+1+6-1)
5(7+6-1)
5(13-1)
5(12)
60
14) 2-3(1-1)+4
2-3(0)+4
-1(0)+4
0+4
4
Determine the standard form of the equation of the line that passes through (-2,0) and (-8,5)
Answer: 5/6x + 1y = -5/3 or 5x + 6y = -10
Step-by-step explanation:
First you need to write an equation in slope intercept form and convert it to Standard form. To write an equation in slope intercept form using the coordinates we need to find the slope and the y-intercept.
The slope is the change in y over the change in x.
0-5 = -5
-2-(-8) = 6
Slope is -5/6
Now find the y intercept using the formula y =mx + b where m is the slope and b is the y-intercept.
5 = -5/6(-8) + b
5 = 40/6 +b
-40/6 -40/6
b= -5/3
So now the equation is y= -5/6x - 5/3
So now write it in standard form as ax+by = c where x is constant.
y = -5/6x -5/3
+5/6x
5/6x + 1y = -5/3 now you can multiply it by 6 to get rid of the fractions.
5/6x(6) + y(6) = -5/3(6)
5x + 6y = -10
Which set of angle measures could be the measures of the interior angles of a triangle? 90°, 42°, and 58° 60°, 60°, and 60° 100°, 48°, and 42° 31°, 75°, and 70°
Answer:
60°, 60°, and 60° is the set of interior angles of triangle.
Step-by-step explanation:
Given:
Set of interior angles
90°, 42°, and 58° 60°, 60°, and 60° 100°, 48°, and 42° 31°, 75°, and 70°Find:
Set of interior angles of triangle
Computation:
We know that, sum of interior angles of triangle is 180°
So,
90° + 42° + 58° = 190°
60° + 60° + 60° = 180°
100° + 48° + 42° = 190°
31° + 75° + 70° = 176°
So,
60°, 60°, and 60° is the set of interior angles of triangle.
Answer:
60°, 60°, and 60°
Step-by-step explanation: I took the quiz
there are (4 to the 9th power) to the 5th power times 4 to the 0 power books at the library. what is the total number of books?
Answer:
1310720
Step-by-step explanation:
you multiply (4^9) and get 262144 then multiply (262144)^5 and get 1310720*4^0 and multiply 4*0 and get 0 so 1310720 if that makes sense
how many phone numbers are possible in the (404) area code if the seven digit number have the form FGH-XXXX where F is restricted to 3-9 and X,G and H can be any digit 0-9?
Answer:
900 phone numbers possible.
Step-by-step explanation:
Given the seven digit numbers are of the form:
FGH-XXXX
Possibilities for F = 3 - 9 and X i.e. 9 possibilities
Possibilities for G = 0 - 9 i.e. 10 digits
Possibilities for H = 0 - 9 i.e. 10 digits
To find:
How many numbers are possible ?
Solution:
This problem is nothing but a problem in which we have to find out how many numbers are possible where each digit has a few options available.
Number of ways to select F = 8 digits from 3 to 9 and 1 alphabet X = 9
Number of ways to select G = 10 digits from 0 to 9
Number of ways to select H = 10 digits from 0 to 9
XXXX part will be same in all the numbers.
So, total phone numbers possible = [tex]9 \times 10 \times 10 = \bold{900}[/tex]
Hence, the answer is:
900 phone numbers possible.
what are equations in algebra?
I NEED HELP PLEASE !!!
Answer:
-3
Step-by-step explanation:
Solve each piece then use order of operations to solve.
[tex]4^{\frac{1}{2} }[/tex] = 2
[tex]\sqrt[4]{16}[/tex] = 2 so [tex]\frac{2}{\sqrt[4]{16} }[/tex] = [tex]\frac{2}{2}[/tex] = 1
Use the order of operations to finish solving. Multiplication and division come before addition and subtraction.
2 * 1 - 10 ÷ 2
2 - 5 = -3
-3
Which equation is correctly rewritten to solve for x?
x/r - s = t A. x = t+s/r B. x= rt + s C. x= r(t + s) D. x= r(t - s)
Answer:
x=r(t+s)
Step-by-step explanation:
x/r - s = t
x/r=t+s
x=r(t+s)
Answer:
x=r(t+s)
Step-by-step explanation:
hope this helps
In the given diagram, if AP = 15 cm, AQ = 24 cm and PB + QC = 26 cm, find QC – PB, given PQ || BC.
Answer:
QC - PB = 6
Step-by-step explanation:
Given PQ is parallel to BC then it divides the sides proportionally, that is
[tex]\frac{AP}{AQ}[/tex] = [tex]\frac{PB}{QC}[/tex] = [tex]\frac{15}{24}[/tex] = [tex]\frac{5}{8}[/tex] , then
[tex]\frac{PB}{QC}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )
8PB = 5QC → *
Given PB + QC = 26 , then
PB = 26 - QC
Substitute into *
8(26 - QC) = 5QC ← distribute left side
208 - 8QC = 5QC ( subtract 5QC from both sides )
208 - 13QC = 0 ( subtract 208 from both sides )
- 13QC = - 208 ( divide both sides by - 13 )
QC = 16
Thus PB = 26 - QC = 26 - 16 = 10
QC - PB = 16 - 10 = 6