Answers
JK and KL make up line JL.
JL = 2x + 8, JK = 2x - 2, KL = x - 9
If JK and KL make up line JL:
JK + KL = JL
We are solving for KL, so isolate it.
JK - JK + KL = JL - JK
KL = JL - JK
x - 9 = 2x + 8 - (2x - 2)
x - 9 = 2x - 2x + 8 + 2
x - 9 = 10
Often times, we would solve for x, but considering x - 9 is what we wanted the solution to anyway, we don't need to bother solving for x.
KL = 10
Related Questions
. Which equations are true? Choose all that apply.
A. 2 x 0 = 2
B. 5x0=9×0
D.) 1 x 3 = 3
C. 6 x 1= 3x2
Answers
Find a polynomial function of degree 4 with -1 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.
Answers
Step-by-step explanation:
a polynomial of degree 4 must have 4 zeroes.
when we know these zeroes, we can define the polynomial by the factors defining these zeroes.
after all, a multiplication of several factors can only be zero, if at least one of the factors is zero.
we have 3 zeroes at x = -1. and 1 zero at x = 0.
so,
f(x) = (x + 1)(x + 1)(x + 1)x
you see ? this will only be zero, if x = -1 or x = 0. and -1 is built in as zero 3 times.
let's do the multiplications :
(x + 1)(x + 1) = x² + 2x + 1
(x + 1)x = x² + x
(x² + 2x + 1)(x² + x) = x⁴ + x³ + 2x³ + 2x² + x² + x =
= x⁴ + 3x³ + 3x² + x
f(x) = 1x⁴ + 3x³ + 3x² + 1x
Jay and Ted observed two points, P and Q, on a number line.
A number line is shown from negative 1 to positive 1 with increments of 1 over 8. The numbers negative 1, negative 6 over 8, negative 4 over 8, negative 2 over 8, 0, 2 over 8, 4 over 8, 6 over 8 are labeled on the number line. A point P is shown at the first tick mark to the left of 0, and a point Q is shown at the first tick mark to the right of 0.
Jay said that the absolute values of the numbers represented by the two points are the same.
Ted said that the absolute values of the numbers represented by the two points are different.
Which of the following explains who is correct? (1 point)
Jay, because each point is fraction 1 over 8 unit from 0
Jay, because the distance between the points is fraction 1 over 8 unit
Ted, because the points are on different sides of 0
Ted, because the points are at different locations on the number line
Answers
Jay, because each point is fraction 1 over 8 unit from 0.
What is absolute length?
One way to think about a number's absolute value is as its distance from zero on the real number line.In addition, the distance between two real numbers is the absolute value of their difference.For instance, the absolute value of 12:
Since each number is 12 units away from zero, it is clear that 12 and -12 both have the same absolute value, which is 12. In order to determine the absolute value of a negative number, simply remove the minus sign. Absolute value is always positive.Absolute value is the length from which the number is from 0 in this they are adding two so it would mean that they are both 1/8 away from 0.
Hence, Jay, because each point is fraction 1 over 8 unit from 0.
To know more about absolute value check the below link:
https://brainly.com/question/24368848
#SPJ1
Suppose the probability that it will rain is 3 over 10.
What is the probability that it will not rain?
What are the odds in favor of rain occurring?
Answers
Answer: the probability that it will not rain is 70% (you might need to do 7/10)
the odds in favor of the rain occuring is 30% (again, you might need to do 3/10)
Step-by-step explanation:
since the probability that it will rain is 3/10, there is only 7/10 left, so it is more likely to not rain than to rain.
Since it will rain 3/10 times, it is 30% for the second problem
Give me brainliest please!
15. Tim can finish painting his barn in 10 hours. It takes
his wife JoAnn only 8 hours to do the same job. If they
work together, how long will it take them to complete the
job?
Answers
Answer:
4 4/9
is the time it will take
I need help
y= 350x + 1.25
Answers
Answer: 351.25
Step-by-step explanation:
unless there is more to the question that I am not seeing that is the answer.
programing problem :
Scenario: The county tax office calculates the annual taxes on property using the following formula:
Property tax = property value × 0.0065
Every day, a clerk in the tax office gets a list of properties and must calculate the tax for each property on the
list. You have been asked to design a program that the clerk can use to perform these calculations.
In your interview with the tax clerk, you learn that each property is assigned a lot number, and all lot numbers
are 1 or greater. You decide to write a loop (while) that uses the number 0 as a sentinel value. During each
loop iteration, the program will ask the clerk to enter either a property’s lot number, or 0 to end.
Answers
The program to illustrate the information will be:
This function gets the value of the property from the user,
# calculates the tax, then displays the value of the tax
def show_tax():
# getting the value of the property from the user
property_value = float(input("Enter the property value: "))
# calculating the tax
property_tax = property_value * 0.0065
# displaying the value of the tax
print("Property tax: $ {0:.2f}".format(property_tax))
How to illustrate the information?This program will receive the lot number from the user, while the lot number does not equal 0, then it gets the value of the property from the user, calculates the tax, then displays the value of the tax
The main() function will receive the lot number from the user,
# while the lot number does not equal 0,
# call the show_tax() function then ask for the next lot number.
Learn more about programs on:
https://brainly.com/question/22654163
#SPJ1
Joyce paid $120.00 for an item at the store that was 40 percent off the original price. What was the original price?
$
Give your answer to the nearest cent.
Answers
What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8)?
Answers
The smallest distance between the origin and a point on the graph of y = 1/2(x² - 8) is √7 units.
Given, a function
y = 1/2(x² - 8)
We have to find the smallest distance between origin and a point on the graph of y = 1/2(x² - 8).
Now, the point on the graph be,
( x , 1/2(x² - 8) ) and origin be (0 , 0)
Let the function of the distance between both the points be,
D = √(x - 0)² + (1/2(x² - 8) - 0)²
D = √x² + 1/4(x² - 8)²
D² = x² + 1/4(x² - 8)²
On differentiating, we get
2DD' = 2x + x(x² - 8)
x³ + 2x - 8x = 0
x³ - 6x = 0
x(x² - 6) = 0
So, x = 0 , √6 , -√6
and the distance is minimum for x = √6
Therefore, using distance formula, we get
Distance = √(x1 - x2)² + (y1 - y2)²
Distance = √(0 - √6)² + (0 - (-1))²
Distance = √6 + 1
So, the smallest distance between the origin and a point on the graph of y = 1/2(x² - 8) is √7 units.
Hence, the smallest distance between the origin and a point on the graph of y = 1/2(x² - 8) is √7 units.
Learn more about Coordinate Geometry here https://brainly.com/question/18269861
#SPJ1
The farmer has 8.9kg of animal feed. In a day, he used 350g for the chickens, 675g for the cows and 1.3kg for the horses. How much feed will he have left?
Answers
Answer:
-1027.4
Step-by-step explanation:
that is the answer i got from my calculations. I hope this is right
What is the constant of proportionality, ?
I
y
30+
28+
26+
-24+
22+
20+
18+
16+
14+
12+
10+
8+
6+
4+
2+
2
3
4
5
6
7
8
I
Answers
Answer:50.8%
Step-by-step explanation:
the distance between two cities is 4 kilometeres. how many meters apart are the two cities
Answers
Answer: 4000
Step-by-step explanation: x by 1000
Heather and her friends want to buy tickets to the Harry Styles concert. Each ticket cost 85$ and parking cost 25$. Write an equation to represent if Heather spends 280$
Answers
answer: 85+85+85+25
Add.
(-x³-x)+(6x² + 6x -7)
Answers
Answer:
[tex]-x^{3}+6x^{2} +5x-7[/tex]
Step-by-step explanation:
-x^3-x+6x^2+6x-7
Order the polynomial from exponent order to make it easier
-x^3+6x^2+6x-x-7
-x^3+6x^2+5x-7
Hopes this helps please mark brainliest
Answer:
-x^3+6x^2+5x-7
Step-by-step explanation:
open parentheses, collect like terms.
A waterskier skis over the ramp shown in the figure at a speed of 30 ft/s. How fast is she rising as she leaves the ramp?
Answers
The waterskier has a final speed of approximately 25.350 feet per second.
What is the final speed of the waterskier?
In this question we need to determine the final speed of the waterskier, that is, the final speed of the waterskier when she leaves the ramp. This can be done by means of the principle of energy conservation, where the total energy is the result of combining translational kinetic energy (K), in pounds-feet per second, related to the speed of the waterskier, and gravitational potential energy (U), in pounds-feet per second.
The equation that represents the situation is described below:
K = U + K'
0.5 · m · v² = m · g · h + 0.5 · m · v'²
0.5 · v² = g · h + 0.5 · v'²
v'² = v² - 2 · g · h
Where:
K' - Final translational kinetic energy, in pounds-feet per second.K - Initial translational kinetic energy, in pounds-feet per second.m - Mass of the waterskier, in pounds.v - Initial speed of the waterskier, in feet per second. v' - Final speed of the waterskier, in feet per second.g - Gravitational acceleration, in feet per square second. h - Final height of the waterskier, in feet.If we know that v = 30 ft / s, g = 32.174 ft / s² and h = 4 ft, then the final speed of the waterskier is:
v' = √[(30 ft / s)² - 2 · (32.174 ft / s²) · (4 ft)]
v' ≈ 25.350 ft / s
The final speed of the waterskier is approximately 25.350 feet per second.
To learn more on principle of energy conservation: https://brainly.com/question/28856450
#SPJ1
Ted is a freshman attending a 4-year college. He has been approved for an $8,000 subsidized federal loan at 4.29% for 10 years. How much will the U.S. Department of
Education subsidize in interest costs during his 4.5-year non-payment period?
Answers
Answer:
$1544.40
Step-by-step explanation:
You want to know the amount of interest cost subsidized by the Department of Education during the 4.5-year non-payment period on an $8000 subsidized federal loan at 4.29%.
InterestThe interest accrued on the loan amount is found by the simple interest formula:
I = Prt
The principal is $8000, the rate is 4.29%, and the time period is the non-payment period, 4.5 years. The interest is ...
I = $8000·0.0429·4.5 = $1544.40
The DoE will subsidize $1544.40 in interest during the non-payment period.
__
Additional comment
For the purpose of this problem, the 10-year period of the loan is irrelevant, as we're only concerned with the 4.5 year period before repayment starts. Because the loan is subsidized, that interest is never "capitalized" and is not due to be repaid by the borrower.
<95141404393>
Multiply.
1,000 x 550.343978
Answers
Answer:
1,000 x 550.343978 = 550343.978
Consider two consecutive positive integers such that the square of the second integer added to 6 times the first is equal to 106.
Answers
The value of the consecutive numbers are 7 and 8.
What are consecutive integers?Consecutive integers simply means the numbers that follow each others. It should be noted that such numbers have the same difference between them.
From the information given, we want to find two consecutive positive integers such that the square of the second integer added to 6 times the first is equal to 106.
Let the numbers be x and x+1.
Therefore, 6x + (x + 1)² = 106
6x + x² + 2x + 1 = 106
Collect like terms
x² + 8x + 1 - 106
x² + 8x - 105
x² + 15x - 7x - 105
x(x + 15) - 7(x - 15) = 0
Therefore x - 7 = 0
x = 0 + 7
x = 7
Therefore x + 1
= 7 + 1
= 8
The numbers are 7 and 8.
Learn more about integers on:
brainly.com/question/17695139
#SPJ1
Which fraction has the same value as 44.4¯%?
Answers
Answer: 111/250
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
44.4% = 44.4/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,
44.4/100 = (44.4 x 10)/(100 x 10) = 444/1000.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(444,1000) = 4. So,
A tourist from the U.S. is vacationing in Greece. One day, he notices that gasoline costs 1.28 euro per liter. On that same day, euro is worth 1.09 dollars. How much does the gas cost in dollars per gallon? First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of the equation.
Answers
The cost of the gas in dollars per gallon would be = $5.3 per gallon.
What is the conversation of liters to gallon?Liters can be converted to gallon as 1 liter = 0.264 gallon.
On the first day, the cost of gasoline = 1.28 euro per liter
On the first day, the worth of £1 = $ 1.09
Which means, if £1 = $1.09
£ 1.28 = $x
Make $x the subject of formula;
$x = 1.28 × 1.09/1
$x = $1.40
Which means that on the first day, the cost of gasoline in dollars = $1.40
To convert liters to gallon;
1 liter = 0.264 gallon
If $1.40 = 0.264 gallon
$x = 1 gallon
make $x the subject of formula;
$x = 1×$1.40/0.264
$x = 5.3
Therefore, the cost of gasoline in dollar per euro = $5.3 per gallon.
Learn more about gasoline here:
https://brainly.com/question/25736513
#SPJ1
There are 8 roses and 7 daisies in a vase.
(a) What is the ratio of roses to all flowers in the vase?
(b) What is the ratio of daisies to all flowers in the vase?
Answers
b) 7:15
Hope it helps
Equipment was acquired at the beginning of the year at a cost of $36,000. The equipment was depreciated using the double-declining-balance method based on an estimated useful life of ten years and an estimated residual value of $700.
Question Content Area
a. What was the depreciation for the first year?
fill in the blank
b. Assuming the equipment was sold at the end of year 2 for $8,860, determine the gain or loss on the sale of the equipment.
fill in the blank
Answers
The depreciation for the first year is $28,800.
If the equipment is sold for $8,860 at the end of year 2, the loss on the sale is $-14,180.
What is the depreciation in year 1 and the loss on the sale?
Depreciation is the method used in expensing the cost of an asset. The double declining method is an exponential method that is used to expense the cost of an asset.
Depreciation expense using the double declining method = Depreciation factor x cost of the asset
Depreciation factor for the double declining method = 2 x (1/useful life)
Depreciation expense in year 1 = (2 / 10) x $36,000 = $7,200
Book value at the beginning of year 2 = cost of the asset - depreciation in year 1
$36,000 - $7,200 = $28,800
Depreciation in year 2 = (2/10) x $28,800 = $5,760
Book value at the end of year 2 = book value at the end of year 1 - depreciation in year 2
$28,800 - $5,760 = $23,040
Loss = sales price - cost price
Loss = $8,860 - $23,040 = $-14,180
To learn more about double declining depreciation method, please check: https://brainly.com/question/15186872
#SPJ1
what is 500,000x100=
Answers
The simplified form of the expression 500,000 multiplied by 100 equals 50,000,000 or 5 x [tex]10^7.[/tex]
We have,
The product of 500,000 multiplied by 100.
= 500,000 x 100
= 50,000,000
This can be written as:
= 5 x [tex]10^7[/tex]
Therefore,
The simplified form of the expression 500,000 multiplied by 100 equals 50,000,000 or 5 x [tex]10^7.[/tex]
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
a magician charges a $30 fee to cover travel and expenses, plus $19.99 per hour. Write an equation to represent the relationship between h, the number of hours, and t, the total charge for the magician.
Answers
The equation to represent the relationship between h and t is
t = 30 + 19.99h.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, the magician charges a $30 fee one time and a $19.99 fee per hour.
The total charge, t, for the magician for h hours is,
t = 30 + 19.99h
Hence, the equation to represent the relationship between h and t is
t = 30 + 19.99h.
Learn more about equations here:
https://brainly.com/question/10413253
#SPJ1
Suppose an investment account is opened with an initial deposit of $18,500 earning 6.25% interest, compounded continuously. How much will the account be worth after
25 years? (Round your answer to two decimal places.)
$
Answers
The amount in the account after 25 years be $ 84,216.11
Given, an investment account is opened with an initial deposit of $18,500 earning 6.25% interest, compounded continuously.
We have to find the amount in the account after 25 years.
Now, on using the compound interest amount formula, we get
Amount = P(1 + r/100)^t
Amount = 18500(1 + 6.25/100)^25
Amount = 18500(1.0625)^25
Amount = 18500(4.55)
Amount = 84,216.1137
Hence, the amount in the account after 25 years be $ 84,216.11
Learn more about Compound Interest here https://brainly.com/question/24274034
#SPJ1
what is the ancer to 50+50
Answers
Answer: 100 is the ancer m
Step-by-step explanation: my man
Simplify.
-6√7.4√5
-2√35
24√√35
-24 √√35
Answers
The simplified form of the expression is -24√35
Expression
Basically, an expression is the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given,
Here we have the expression -6√7.4√5
Now, we have to simplify the expression.
While we looking into the given expression, we have identified that the expression is in the form of multiplication,
So, the first step in solving the expression is to group the similar element,
So, the grouped form of the expression is,
=> (-6 x 4).(√7 x √5)
Now, we have to perform the multiplication on it, then we get,
=> -24√35
Therefore, the simplified form of the expression is -24√35
To know more about Expression here.
https://brainly.com/question/14083225
#SPJ1
(x+1)² using identity
please help on this question
Answers
Answer:
[tex]x^2+2x+1[/tex]
Step-by-step explanation:
Note that [tex](a+b)^2=a^2+2ab+b^2[/tex].
Let [tex]a=x[/tex] and [tex]b=1[/tex].
[tex](x+1)^2=x^2+2(x)(1)+1^2=x^2+2x+1[/tex]
100 pointers! pls answer ASAP!!!!
find the measure of angle A show all your work
Thx
Answers
The value of ∠A in triangle ABC is 40°
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
In the given triangle ABC,
∠A=7x-16°, ∠B=81°
By alternate segment theorem,
∠C=4x+27°
The sum of all the angle of a triangle is 180°.
∠A+∠B+∠C=180°
⇒7x-16+81+4x+27=180
11x=180-92
11x=88
x=8
So the value of ∠A=7×8-16 = 40°
To know more about Triangle on:
https://brainly.com/question/2773823
#SPJ1
Answer:
The value of ∠A in triangle ABC is 40°
Pretty much the same as the person that posted before.
Two tracking stations are on the equator 163 miles apart. A weather balloon is located on a bearing
of N 43°E from the western station and a bearing of N 17°E from the eastern station. How far, to the
nearest mile, is the balloon from the western station? i got 322 miles
Answers
If the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
Suppose the selling price of a towel is x, according to the given condition,
5 = x - 15% of x
5=x-0.15x
5=0.85 x
x=5/0.85
x=5.88
Thus, if the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2