Given directed line segment JL below, find the coordinates of K such
that the ratio of JK to JL is 7:8. Plot point K.
The coordinate of JK is (-1.7, -0.3)
The coordinate of the points that divides the line segment in the given ratio is calculated as:
[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]
where;
a:b = 7:8
From the image;
(x₁, y₁) = (-6, 5) and,
(x₂, y₂) = (2, -5)
Substitute the given points in the equation above to calculate the coordinates of JK.
[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]
Thus, the coordinate of JK = (-1.7, -0.3)
Check the image uploaded for the plot of point K
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-8v-12=4v+12 is it equal?
Answer:
they are not equal
Step-by-step explanation:
-8v-12=-8v-12
4v+12=4v+12
but you can solve it as an equation
-8v-12=4v+12
make v the subject
-8v-4v=12+12
-12v=24
divide both sides by-12
your answer is-2
16 + (17+8)=( 16+ ) +8
65
Step-by-step explanation:
What answer applies to “fine print”?
In goooooooogle you get your answer please Mark me as a brainlist
Please help I don’t know what to do
Answer:
A is the answer
Answer:
the first one is the answer y = (x-2)^2 + 1
Step-by-step explanation:
The vertex form of a quadratic function is y = a(x – h)^2 + k, where a, h, and k are constants. h and k are vertex.
vertex is (2,1) which is (h,k)
passes through (0,5)
Equation is y = a( x - 2)^2 + 1 . now substituting (0,5) in for x and f(x),
5 = a ( 0 - 2) ^2 + 1 and solve for a.....
5 = 4a + 1
5-1 = 4a
4a = 4.......... a = 1
equation becomes y = 1(x-2)^2 + 1 or y= (x-2)^2 + 1
1. What is the equation of a line parallel to y = x + 2 that passes through (1, 2)?
Answer:
y=x+1
Step-by-step explanation:
if it passes through (1,2), the y-intercept will be 1 and the slope will stay the same is the equation will be y=x+1
A circle's circumference is approximately 76 cm. Estimate the radius, diameter, and area of the circle by using 3 for pi. I WILL BRAINLEST HELP ASAP
Answer:
see below
Step-by-step explanation:
C=2[tex]\pi[/tex]r
76=2[tex]\pi[/tex]r
r=[tex]\frac{76}{2\pi }[/tex]=38[tex]\pi[/tex]= 119.380520836
diameter: d=2(radius)=2(119.380520836)= 238.761041672
area= [tex]\pi (r)^{2}[/tex]=[tex]\pi[/tex](119.380520836)^2= 14251.70855[tex]\pi[/tex]
19. Rashmika bought a second hand T.V. for Rs. 6,000 and she spent Rs. 1500 on its repair. She sold it for Rs. 5,500. Find her profit or loss.
Cost of TV= Rs. 6000
Money spent on repair= Rs. 1500
So, money left after repair= 6000-1500= Rs. 4500
She sold it for Rs. 5,500
Therefore, Profit= 5500-4500= Rs. 1000
So profit= Rs. 1000
Answer:
2,000 loss
Step-by-step explanation:
Total Revenue - Total Expenses = Profit
Total expenses = 6,000(Original cost) + 1500(repairs) = 7,500
Total revenue = selling price = 5,500
Therefore the Profit or Loss(negative number) =
5,500 - 7,500 = -2000 or 2,000 loss
The sum of two number is -1/3, if one of the number is -12/3 ,find the other number? please help
Answer: 11/3
Step-by-step explanation:
-12/3 + n = - 1/3
n = -1/3 + 12/3
n = 11/3
15
Determine whether the ordered pairs (1,0) and 4,
(4:15)
are solutions of the following equation.
- 5x + 7y= -5
BRE
Is (1,0) a solution of - 5x + 7y = - 5?
O Yes
Ο Νο
(ANSWER QUICKLY)
Answer:
yes
Step-by-step explanation:
x = 1, y = 0
so,
-5×1 + 7×0 = -5
-5 + 0 = -5
-5 = -5
true, therefore (1, 0) is a solution (a point on the graph) of the equation.
I am not sure what the other pair should be.
John has an account balance of $20. He receives his weekly paycheck
for work at his part-time job in the amount of $110. He can't find
a bike he wants, so he buys some comic books for $40. Then John
finds his dream bike priced as shown. If he buys the bike now, what
will his account balance be?
Step-by-step explanation:
Accounts balance=$20
Part time job salary=$110
Total balance
\begin{gathered}\\ \sf\longmapsto 110+20=130\$\end{gathered}
⟼110+20=130$
Now
Price of comics=$40
Price left for bike
\begin{gathered}\\ \sf\longmapsto 130-40=90\$\end{gathered}
⟼130−40=90$
After buying the dream bike, John's account balance will be -$110.
Let's calculate John's account balance after each transaction step by step:
1. Initial balance: $20
2. Weekly paycheck: +$110
Account balance = $20 + $110 = $130
3. Buys comic books: -$40
Account balance = $130 - $40 = $90
4. Buys dream bike: -$200
Account balance = $90 - $200 = -$110
After buying the dream bike, John's account balance will be -$110. This means he will have a negative balance of $110, indicating that he owes the bank or whoever manages the account. It's important to be cautious with negative balances as they can result in overdraft fees or other penalties depending on the account type and the bank's policies.
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Question 1 of 6
Head the problem in the box below. Make a list to help you find the correct
answer
Radio listeners were asked to call in and pick their
two favorite rodents. The listeners had 4 choices:
Woodchuck, Prairie dog, Beaver and Chipmunk
Which of the following is the complete list of the
possible pairs of rodents?
Answer:
do you understand it
Step-by-step explanation:
do you understand it
A parallelogram has a base of 7 meters and a height of 10 meters. What is the area of the parallelogram in square meters?
Step-by-step explanation:
Area of a parallelogram = H * B
Where ;H = height and B = 7
From the question our height = 10m and base = 7m
placing in formulaH * B
= 10m * 7m
=70m²
Therefore the area of the parallelogram is 70m²
A quantity of food will last 8 people for 18 days. How long will the food last 2 people?
Answer: 72 days
Step-by-step explanation:
STEP ONE: Find the total amount of food
Total days = 18 days
Total people = 8 people
Total food = days × people
Total food = 18 × 8
Total food = 144
STEP TWO: Find the days that would last for 2 people
Total people = 2 people
Total food = 144 units
Total days = food ÷ people
Total days = 144 ÷ 2
Total days = [tex]\boxed{72days}[/tex]
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There are four to every seven girls in an instructory biology course , if there are 385 students enrolled in the course, how many are boys?
Answer:
140 boys
Step-by-step explanation:
x = boys, y = girls
x/y = 4/7, x+y=385
x = 140, y = 245
How to show work for 339.3÷13
Step-by-step explanation:
Refer to the notes on long division
2. A laptop usually sells for £1320 (including VAT). A store is advertising a discount of 15%
if it is purchased on a Sunday and a further 10% student discount. What is the price that a
student should pay (including VAT) for a Sunday purchase?
Answer:
£1009.8
Step-by-step explanation:
1) 1320/100*15= 13.2*15= 198- Sunday discount,
2) 1320-198=1122- The value with Sunday discount,
3) 1122/100*10= 112.2 - the student's discount,
4) 1122-112.2= 1009.8
The student paid £990 for the purchase of the laptop.
An equation is used to show the relationship between two or more numbers and variables.
The student purchase the laptop on a Sunday, hence:
Total discount = 15% + 10% = 25%
The laptop usually sells for £1320. Hence:
Discount = 25% of £1320 = 0.25 * 1320 = £330
Price paid by the student = £1320 - £330 = £990
The student paid £990 for the purchase of the laptop.
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7(6-4) distribitive property
Answer:
14
Step-by-step explanation:
Multiply 7 and 6, then 7 and -4: 42-28=?
Subtract: 42-28=14
the supplementary are in the ratio 1:5. What is the measure of the smaller angle?
Answer:
[tex]thank \: you[/tex]
3 and (5 + 1 + 3)
What is the answer
Answer:
27
Step-by-step explanation:
3(5+1+3) distribute
15+ 3+ 9 add
27
i need help to solve this please -6 - 8x = -2(4x + 3)
Answer:
infinite solutions, true for all x
Step-by-step explanation:
-6 - 8x = -2(4x + 3)
Distribute
-6-8x =-8x-6
Add 8x to each side
-6-8x+8x = -8x-6+8x
-6 =-6
Since this is always true, the equation is true for all x
-6-8x = -2(4x+3)
-6-8x = -8x-6
-8x+8x = -6+6
0=0
infinite solution
THANK YOU
Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
L=6x+3
B=-2x-5
[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]
[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]
[tex]\begin{gathered}\\ \rm\longmapsto Perimeter=2(4x-2)\end{gathered}\begin{gathered}\\ \rm\longmapsto Perimeter= 8x-4\end{gathered}[/tex]
Here is the histogram of a data distribution.
10
8
7
What is the shape of this distribution?
A. Unimodal symmetric
B. Bimodal skewed
C. Uniform
O D. Bimodal symmetric
O E. Unimodal skewed
Answer:
Step-by-step explanation:
Some form of symetric i think....
The best describes the shape of this distribution is Unimodal symmetric.
What is Unimodal symmetric?A unimodal distribution is a distribution that has one clear peak. The values increase first, rising to a single highest point where they then start to decrease. A unimodal distribution can either be symmetrical or non-symmetrical. A symmetrical distribution is one where the mean, mode, and median are all equal.
Given is a histogram, we have to find the shape of this distribution,
Since, we can see that the graph only has a hump with equal distribution either side of the hump, which can say that the graph is a Unimodal symmetric
Therefore, the given distribution is Unimodal symmetric as the distribution has 1 hump.
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Perry uses 12 milliliters of honey in his honey lemon dressing . He makes just enough dressing for 4 salads he puts the same amount on each salad .how much honey is on each salad ASAPPPPP
The amount of honey he use for each salad is : 12 / 4 = 3 (milliters)
SO he used 3 milliters on each salad
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0.2 is 10 times as 2
Answer:
5 times
Step-by-step explanation:
please follow me
the midpoint of ab is m(-2,1). if the coordinates of a are (1,-2) what are the coordinates of b
Answer:
-5,4
Step-by-step explanation:
midpoint x is a 3 point difference. 3 points in the opposite direction is -5
midpoint y is also a 3 point difference. 3 points in the opposite direction of that is 4
so I believe the correct answer should be (-5,4)
A machine costing $56,745 with a 7-year life and $51,208 depreciable cost was purchased January 1. Compute the yearly depreciation expense using straight-line depreciation. Round your answer to the nearest whole dollar.
How much is per year?
Answer:
$7315
Step-by-step explanation:
To find the depreciation expense, we use this formula:
Depreciable cost ÷ useful life time
Depreciated cost = $51,208
Life time = 7 years
51,208 ÷ 7 = 7315.42857
This means that $51,208 were lost over the 7 years, meaning $7315 were lost every year.
Please help
Solve the inequality.
2x – 9 = 1
x= [?]
Answer:
[tex]2x - 9 \leqslant 1 \\ 2x \leqslant 10 \\ x \leqslant 5 \\ thank \: you[/tex]
if the volume of cube is 125 cm cube . find its length
solve 10/6 + 3/6- 5/6 mentally
Answer:
4/3
Step-by-step explanation:
Answer: 4/3
Step-by-step explanation:
Given
10/6 + 3/6 - 5/6
Add the numerators up (since they have the same denominator)
=(10 + 3 - 5) / 6
Simplify by addition/subtraction
=(13 - 5) / 6
=8 / 6
Divide 2 on both numerator and denominator to simplify the fraction
=(8 ÷ 2) / (6 ÷ 2)
=[tex]\boxed{\frac{4}{3} }[/tex]
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