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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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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0.2 is 10 times as 2
Answer:
5 times
Step-by-step explanation:
please follow me
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
What is the y-intercept
Answer:
y-intercept is (0, 9)
Step-by-step explanation:
At y-intercept, x is 0
[tex]y = 9[/tex]
Answer: (0, 9)
Concept:
The y-intercept of a function is the point at which the graph of the function crosses the y-axis.
In other words, the y-intercept is the point when the x value is 0.
Solve:
Find the point where the x value is 0
It is the fourth from the left, where the x value is 0.
The y value is 9.
Finalize the point
x value is 0
y value is 9
Point = [tex]\boxed{(0, 9)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
If AB = x +4, BC = 2x - 10, and AC = 2x + 1, then find the value for BC.
Please help will give brainly
Answer:
rational number
Step-by-step explanation:
it is being expressed in form of p/q
the supplementary are in the ratio 1:5. What is the measure of the smaller angle?
Answer:
[tex]thank \: you[/tex]
f=2 and s=8 then s divided by [2f]
Answer: 2
Step-by-step explanation:
f=2
s=8
[tex](8)\div(2(2))\\8\div4\\2[/tex]
Answer:
2
Step-by-step explanation:
s/ (2f)
Let s = 8
and f = 2
8 / ( 2*2)
8/4
2
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 inverse of the relation y = 9x – 4 can be obtained graphically by:
The inverse of the function y = 9x -4 is obtained by a reflection in the line at ( y = x ). Hence Option D is correct.
What is the reflection of a line?Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point but is on the other side of the line. This transformation is known as a reflection over the line.
The inverse relation for y= 9x -4 will be calculated by putting the value of x equal to y or replacing x by y and y by x in the equation.
Hence Option D is correct.
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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
if the volume of cube is 125 cm cube . find its length
-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
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]
solve for Y: Y=6b+12ab^2 a= 4, b=6
Answer:
1764
Step-by-step explanation:
Y=6b+12ab^2
Let a = 4
b = 6
Y = 6(6) +12 (4)(6)^2
= 36 + 12 (4) (36)
= 36+1728
=1764
Answer:
[tex]\huge\boxed{\sf Y = 1764}[/tex]
Step-by-step explanation:
[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!∫[tex]\frac{x2}{9}[/tex]
9514 1404 393
Answer:
(x^3)/27
Step-by-step explanation:
The power rule applies.
∫(x^n) = (x^(n+1))/(n+1)
__
[tex]\displaystyle\int\dfrac{x^2}{9}\,dx=\dfrac{x^3}{3\cdot9}=\boxed{\dfrac{x^3}{27}}[/tex]
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
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.
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
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
factorize it h
[tex]4sin {2} \alpha - 5sin \alpha - 6[/tex]
Step-by-step explanation:
putting X in place of sin we get,
4x²-5x-6
4x²-8x+3x-6
4x(X-2) +3(x-2)
(4x+3)(x-2)
putting back sin in place of X
(4sin+3)(sin-2)
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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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
Mark as Brainliest If the answer is helpful!
1/8+c=4/5 jus need to answer
whats 40 euros to usd?
Answer:
47.06 United States Dollar
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
47.6 US DollarsHope it helpsThanks.Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?
Answer:
5.70
Step-by-step explanation:
Take the price per bag and multiply by the number of bags
.95 * 6 =5.70
what is the arithmetic property of x+0*d=x
a triangle has a vertices at R(1,1) S(-2,-4) and T(-3,-3). The triangle is transformed according to the rule
what do you call polygons with all sides same
Polygons with all same sides is an equilateral.