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.
Answers
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
Learn more here:https://brainly.com/question/12547932
Related Questions
Group discounted lift tickets were $14 for those paying with cash and $15 for those
paying with a credit card. The total paid by the group was $177.00. Three times as many
people paid with a credit card as those who paid with cash. How many people paid with
cash?
PLEASE ANSWER WITH AN EXPLANATION
Answers
Answer:
3 people
Step-by-step explanation:
Let "x" represent the number of people who payed with cash
Let "y" represent the number of people who payed with credit card
14x +15y = 177 ---------1
3x =y--------- 2
solving simultaneously,
put eqn 2 into eqn 1
14x + 15 (3x) = 177
14x + 45x = 177
59x = 177
x=3
From eqn 2 , y = 3 x
y = 3 (3)
y=9
therefore the number of people who paid with cash were 3.
Find the slope of the line through each pair of points.
(2,-9),(-1,4)
Answers
[tex]\\ \rm\hookrightarrow Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{4-9}{-1-2}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{-5}{-3}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{5}{3}[/tex]
Answer:
-13/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
4-(-9)/-1-2
13/-3
-13/3
Best of Luck!
A kite is inscribed in a rectangle. Everything outside of the kite is shaded. The points of the kite split the lengths of the rectangle into a length of 3x and x. The points of the kite split the height of the rectangle into lengths of x and x. The total length of the rectangle is 4 x and the height is 2 x.
The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region?
2x2
4x2
6x2
8x2
Answers
Answer:
B
Step-by-step explanation:
you can make picture into to shapes. a rectangle and a square. the square would be x2 and the rectangle would be 3x2. just add them together while your answer would be 4x2. doing this assignment right now so best of luck.
Answer:
b
Step-by-step explanation:
i just did the test
The center circle on a soccer field has a radius of 9 yards. What is the area of the center circle? Use 3.14 for pie
Answers
Answer:
[tex]\boxed {\boxed {\sf 254.34 \ yd^2}}[/tex]
Step-by-step explanation:
The area of a shape is the space occupied by the surface of an object. The area of a circle can be calculated using the following formula.
[tex]a= \pi r^2[/tex]
The radius (r) of the center circle on the soccer field is 9 yards. We are asked to use 3.14 for pi.
r= 9 yd π= 3.14Substitute these values into the formula.
[tex]a= (3.14)(9 \ yd)^2[/tex]
Solve the exponent.
(9 yd)² = 9 yd * 9 yd = 81 yd²[tex]a= (3.14)(81 \ yd^2)[/tex]
Multiply.
[tex]a= 254.34 \ yd^2[/tex]
The area of the center circle on the soccer field is 254.34 square yards.
On her way to work each morning Sophia
purchases a small cup of coffee for $425
from the coffee shop
Answers
Answer:
This is easy...stop purchasing this outrageous coffee for $425. No coffee is that good
A=1/2pie r squared solve for pie
Answers
Answer:
[tex]A = \frac{1}{2} \pi r [/tex]
multiply all sides by 2:
[tex]2 \times A = ( \frac{1}{2} \pi r) \times 2 \\ \\ 2A = \pi r[/tex]
divide all sides by r:
[tex] \frac{2A}{r} = \frac{\pi r}{r} \\ \\ \frac{2A}{r} = \pi[/tex]
therefore:
[tex]{ \boxed{ \sf{\pi = \frac{2A}{r} }}}[/tex]
i need help please and thank you
Answers
Answer:
the length of each shape will alternate between even numbers and is numbers.
Step-by-step explanation:
just think !
there are 3 cubes in the basic shape.
now, with every step he adds 1 more cube to the length, and one more cube to the height. that means 2 more cubes.
so, it goes 3, 5, 7, 9, ... cubes
therefore, the first answer is wrong. the shape in every step will always have an uneven (odd) number of boxes. remember, adding an even number to an uneven number will always result in an uneven number. only uneven and uneven or even and even can have even results.
but the length itself - he only adds there one box at a time, will go
2, 3, 4, 5, 6, ...
so, it will alternate between even and uneven numbers.
Calculate the ratios in the table using the side lengths that you recorded in Part C.
Answers
Step-by-step explanation:
The ratios are;
\dfrac{BC}{AB} = \dfrac{3}{5}
AB
BC
=
5
3
\dfrac{AC}{AB} = \dfrac{4}{5}
AB
AC
=
5
4
\dfrac{BC}{AC} = \dfrac{3}{4}
AC
BC
=
4
3
\dfrac{DE}{AD} = \dfrac{3}{5}
AD
DE
=
5
3
\dfrac{AE}{AD} = \dfrac{4}{5}
AD
AE
=
5
4
\dfrac{DE}{AE} =\dfrac{3}{4}
AE
DE
=
4
3
koGiven that the lengths of the sides are;
\overline {AB}
AB
= 20
\overline {BC}
BC
= 12
\overline {AC}
AC
= 16
\overline {AD}
AD
= 10
\overline {DE}
DE
= 6
\overline {AE}
AE
= 8
The ratios are;
\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{BC}{AB} = \dfrac{12}{20} = \dfrac{3}{5}
Hypothenus
Length opposite ∠A
=
AB
BC
=
20
12
=
5
3
\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AC}{AB} = \dfrac{16}{20} = \dfrac{4}{5}
Hypothenus
Length adjacent ∠A
=
AB
AC
=
20
16
=
5
4
\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{BC}{AC} = \dfrac{12}{16} = \dfrac{3}{4}
Length adjacent ∠A
Length opposite ∠A
=
AC
BC
=
16
12
=
4
3
\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{DE}{AD} = \dfrac{6}{10} = \dfrac{3}{5}
Hypothenus
Length opposite ∠A
=
AD
DE
=
10
6
=
5
3
\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AE}{AD} = \dfrac{8}{10} = \dfrac{4}{5}
Hypothenus
Length adjacent ∠A
=
AD
AE
=
10
8
=
5
4
\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{DE}{AE} = \dfrac{6}{8} = \dfrac{3}{4}
Length adjacent ∠A
Length opposite ∠A
=
AE
DE
=
8
6
=
4
3
determine the equation of the vertical line that passes through (3, 15)
Answers
Answer:
x = 3
Step-by-step explanation:
The given straight line is vertical therefore it's slope doesn't exists.
Equation of the line with undefined slope is given by, x = c where c is the point of x axis from which the given line passes.
Therefore x = 3 is the correct answer.
Will give brainly est
Find the difference. Enter your answer in simplest form.
3 1/3 minus 2 5/12 The First 3 and the first two are whole numbers btw
options
1 4/9 A
11/12 B
7/12 C
1 1/2 D
Answers
[tex]\\ \sf\longmapsto 3\dfrac{1}{3}-2\dfrac{5}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{10}{3}-\dfrac{29}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{40-29}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11}{12}[/tex]
full form of ALU please tell
Answers
Answer:
ALU stands for arithmetic logic unit. which is part of the central processing unit of a computer which performs arithmetic and logical operations.
I hope this helps
Answer:
In computer science: Architecture and organization. …of a control unit, an arithmetic logic unit (ALU), a memory unit, and input/output (I/O) controllers. The ALU performs simple addition, subtraction, multiplication, division, and logic operations, such as OR and AND.
Step-by-step explanation:
if the cost price of 10 tables is equal to the selling price of 16 tables , find out the gain or loss percentage
Answers
Hi,
To solve this problem, Let us take the LCM of 10 and 16 which will come 80.
Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n
According to the question, CP of 10 tables is equal to the SP of 16 tables, then
the SP of 16 tables will also be ₹ n.
So, SP of 80 tables will be ₹ 5n
So, Loss = CP-SP
→ 8n - 5n = ₹ 3n
Loss%= (3n×100)/8n
Loss%= 37.5%.
Hence the correct answer will be a loss of 37.5%.
If -30 + 8r = -7(-3r - 3) + 4r,
the value of 5r?
Answers
Answer:
Gggggg
Step-by-step explanation:
Bh H hjjhбичар сук в оригинале xdddd
Answer:
[tex] - 30 + 8r = - 7( - 3r - 3) + 4r \\ - 30 + 8r = 21r + 21 + 4r \\ - 30 - 21 = 25r - 8r \\ - 51= 17r \\ r = \frac{ - 51}{17} \\r = 3 \\ thank \: you[/tex]
Simplify the following 1)0.002 x 3421. 2)584.23 x 4.3214. 3)1000 x 4.3214. 4)31.234 x 300. 5)333.333 x 0.0003 Plsssss show working
Answers
Answer:
Step-by-step explanation:
Basically you just multiply everything together
1) 6.842
2) 2524.691522
3) 4321.4
4) 9370.2
5) 0.0999999
Best way to solve these questions is either a calculator or write the questions down and figure it out yourself. It isn't that hard.
Explanation on how to place the decimal places I found on a good website:
Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product.
To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.
Multiply 0.7 by 0.352
0.7 1 decimal place
0.352 3 decimal places
A total of 4 decimal places
Once you have found the sum of the decimal places in each factor, you know how many decimal places the product will need after its decimal point. Starting at the far right of the number, move the decimal point toward the left that number of decimal places.
0.2464 (4 decimal places after the decimal point)
Dividing decimals
1. Move the decimal point in the divisor to the right to make the divisor a whole number.
2. Move the decimal point in the dividend the same number of places to the right.
3. Place the decimal point in the quotient directly over the decimal point in the dividend for the final quotient.
4. Divide as if working with whole numbers
A 16-ft steel beam is to be cut into two pieces so
that one piece is 1 foot longer than twice the other.
Find the length of each piece.
Answers
Answer:
8.5 feet and 7.5 feet.
Step-by-step explanation:
Hope this helps :)
what percentage is 10 in 24?
Answers
Answer:
41.67
Step-by-step explanation:
10: 24×100 =
(10×100): 24 =
1000: 24 = 41.67
What property is show in this problem? 11 x (4+5) = 11 x 4 + 11 x 5
Answers
99 = 44 + 55
99 = 99
Infinity solution
The following image is a piece of tile from a kitchen floor. What does the bolded line represent?
A. a line
B. a line segment
C. a ray
D. a plane
Answers
Answer:
a line segment in the correct answer
Please help its due today will give 15+ points and make brainlyiest
Answers
absolute value of -3
hope it helped
Which tree is growing faster
Answers
Answer:
tree 1 is growing faster
Using the slope of a linear function, it is found that Tree 1 is growing faster.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1. It can be given by the change in the input divided by the change in the output.b is the y-intercept, which is the value of y when x = 0.In this problem:
Tree 1 is growing 1.5 inches every week.For tree 2, when the week increasing by 1, the height also increases by 1, hence the slope is 1, which means that it is increasing 1 inch per week.Thus, tree 1 is growing faster.You can learn more about the slope of a linear function at https://brainly.com/question/24674549
Please help due tomorrow
Answers
Answer:
just observe its like corresponding soo..
CAB = DEF
ABC = EFD
ACB = EDF
EMJOY ;)
B
How many degrees must
Figure A be rotated
counterclockwise around
the origin in order to line
up with Figure B?
A
A 90
B. 180
C. 270
D. 360
Answers
Answer:
90 degree is my guess please
Answer:
90
Step-by-step explanation:
it's 90 because if it needs to be in line with a it has to be rotated a bit and since the lowest is 90 the answer is 90
PLEASE HELP
3/5x+22=28
Show your work in details if you can, I have a hard time understanding this.
Answers
Step-by-step explanation:
3/5x+22=28
3/5x=28-22
3/5x=6
3x=6*5
3x=30
X=30/3
X=10
Wh ich of the following tables represent functions? If the relation is not a function, indicate why it is not.
Answers
Step-by-step explanation:
1. the table on the left is a function, with the formula : y = x²
2. the table on the right is also a function, indicated by the values of the input are different each others
Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?
Answers
Answer:
They got $91 in total
Step-by-step explanation:
I did some trial and error and when I reached 65 dollars for Gavin I realized that Jim would be $29. So 65 - 29 = $39. Btw substitute $ for £
Answer: £91
Step-by-step explanation:
Let x be the amount of money Jim gets
Let x + 39 be the amount of money Gavin gets
Given information
Ratio = 5 : 2 (Gavin to Jim)
Jim = x
Gavin = x + 39
Set up proportion
5 / 2 = (x + 39) / x
Cross multiply to reduce fraction form
5x = 2 (x + 39)
Expand parentheses and apply the distributive property
5x = 2 · x + 2 · 39
5x = 2x + 78
Subtract 2x on both sides
5x - 2x = 2x + 78 - 2x
3x = 78
Divide 3 on both sides
3x / 3 = 78 / 3
x = 26
Find the amount of money they get altogether
Gavin + Jim
=x + 39 + x
=(26) + 39 + (26)
=65 + 26
=[tex]\boxed{91}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find an equation of the plane that passes through the point P0 = (6, 3, 2) and is parallel to the xy-plane. g
Answers
The xy-plane has a normal vector of 〈0, 0, 1〉, and any plane parallel to it will have the same normal vector.
Then the equation of the plane through (6, 3, 2) that is parallel to the xy-plane has equation
〈x - 6, y - 3, z - 2〉 • 〈0, 0, 1〉 = 0
==> z - 2 = 0
==> z = 2
How many area codes (ABC) would be possible if all three digits could be any value 3-9
Answers
Answer:
Step-by-step explanation:
Create a function that generates for any value x the corresponding value y when
y= 17x^2+ 14x +9
Required:
What is the value y when x =12?
Answers
Answer:
Step-by-step explanation:
a company spent 36% of its annual budget developing a new bicycle. What fraction of the company's budget was spent on developing the new bicycle?
Answers
Answer:
9/25
Step-by-step explanation:
36% = 36/100
Simplify the fraction and you'll have:
9/25
Answer:
9/25
Step-by-step explanation:
36% = 0.36 = 36/100 = 18/50 = 9/25
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the value of a.
Answers
Answer:
86°
Step-by-step explanation:
try suggested solution (see the attached picture), note, the suggested way is not the shourtest one.