Answers
Answer:
X(−64/3, 0); 8/3
Step-by-step explanation:
To find the coordinates of the point X, first find the scale factor for a dilation of two similar triangles in the coordinate plane
To determine the scale factor, set up a ratio of the lengths of two corresponding sides of the triangles.
Use the Distance Formula d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ to find the length of the sides JK and JW.
Point J is the origin. Thus, the coordinates of the point J are (0,0).
It is given in the figure that the coordinates of the point K are (0,6).
To find JK, substitute x1=0, x2=0, y1=0, and y2=6 into the distance formula.
JK=(0−0)2+(6−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=62‾‾√=6
The length of JK is 6.
It is given in the figure that the coordinates of the point W are (0,16).
To find JW, substitute x1=0, x2=0, y1=0, and y2=16 into the distance formula.
JW=(0−0)2+(16−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=162‾‾‾‾√=16
The length of JW is 16.
To determine the scale factor, set up a ratio of the lengths of two corresponding sides, JW and JK, of the triangles.
JWJK=166=83
The scale factor is 83.
To find the coordinates of the point X multiply the coordinates of the point L by the scale factor.
It is given in the figure that the coordinates of the point L are (−8,0).
X(−8⋅83,0⋅83)=X(−643,0)
The coordinates of the point X are (−643,0).
The figure shows the same triangles K J L and W J X as in the beginning of the task. Point X is at minus 64 thirds, zero.
Therefore, the coordinates of X is (−643,0) and the scale factor is 83.
Related Questions
PLESE HELP MEE AND SHOWW YOUURR WOORKK PLEASE :)
Answers
Answer:
a) 13.4
Step-by-step explanation:
This will use the pythagorem theorm. Which is a^2 + b^2 = c^2. You'll start with 12^2 + 6^2 = c^2. Then you'll solve from there.
12^2 + 6^2 = c^2
144 + 6^2 = c^2
144 + 36 = c^2
180 = c^2
then you'll find the square root of 180 (i don't have that symbol on my keyboard)
/180 = c
6/5 = c
then in decimal form it's 13.4164...
so rounded it's 13.4
I don't understand these, please help!
Answers
Step-by-step explanation:
2A
x=1 y=3
x=4 y=0
y=mx+b
3=m+b
0=4m+b
3=-3m
m= -1
0=-4+b
b=4
y= -x +4
2B
x=2 y=0
x=0 y= -4
0=2m+b
-4=b
b=-4
0=2m-4
2m=4
m=2
y=2x-4
Work out the gradient of a line that passes through co-ordinates (3,4) & (6,16).
Answers
Answer:
4.33
Step-by-step explanation:
Given data
x1= 3
y1=3
x2=6
y2=16
M= y2-y1/x2-x1
substitute
M=16-3/6-3
M= 13/3
M=4.33
Hence the gradient is 4.33
Brooke went to the hardware store and bought 20 identical copper pipes. When Brooke lined up the pipes end-to-end, the line was 1 meter long. How long was each pipe?
Answers
Answer: 5cm
Step-by-step explanation:
First and foremost, we should note that
1 meter = 100 centimeters
Therefore, since Brooke went to the hardware store and bought 20 identical copper pipes and their total length is 1 meter long which is 100cm, the length of each pipe will be the title length of the Pipe divided by the number of pipes. This will be:
= 100 / 20
= 5cm each.
Each pipe is 5cm long.
3
8 If xty 10 and - y = 6. What is the value of x
-y² ?
(.520 d-520
a 604
b. 504
Answers
Answer:
je sais pas miskine eu débrouille.toi demande à ton papa de t'aider ne pleure pas stp si pleure tu fera moins pipi au lit bisous
5. Which integer best represents a deposit of $37? *
A. 37
B. −37
C. −⎪37⎥
D. −⎪−37⎥
Answers
Answer:
A. 37.
Step-by-step explanation:
In B, that is making a withdrawal.
In C, because of the *||*s around it, this means that the number inside of those lines will always be positive. But the negative is outside of the lines so it is still negative.
In D, you might think that the |-37| cancels out the - on the outside. But like I said, those lines mean that anything inside of the lines will always be positive. Meaning that the |-37| inside just becomes |37| and still turns negative because of the - on the outside.
Hope this helped, the detailed explanation took a minute! :D
If the simple interest on $7000 for 3 years is $1890, then what is the interest rate?
Answers
Answer:
0.09 or 9%
Step-by-step explanation:
I = Prt
Given:
I = 1890
P = 7000
t = 3
Work:
I = Prt
r = I/(Pt)
r = 1890/(7000 x 3)
r = 1890/21000
r = 0.09
How do you find the diameter of a circle. Or what is the diameter of 56.52
Answers
Answer:
Assuming that the Radius is 56.52, the diameter would be 113.04
Step-by-step explanation:
The equation for finding diameter of a circle is r2 (I think) but it means Radius times 2, as radius if half of the diameter.
I need a linear equation
Answers
Answer:
y = 2x + 5 is an option
use the image below to answer questions 8-9
rhombus JKLM
8. find the measure of angle 1
9. find the measure of angle 2
Answers
Answer:
Angle 1=42.5
Angle 2=95
Study lamps are packed 2 in a carton. The dimensions of the carton are 2.5 feet by 1.25 feet by
1.75 feet. The Supply Store wants to order 200 pairs of lamps. How much storage space will the
Supply Store need to store the lamps?
Answers
Answer:
hahahhahahahahahahahahahahahaha
What are the coordinates of point S'?
(2, 1)
(1, -2)
(-1, -2)
(2, -1)
Answers
Answer:
(2,-1)...........
Step-by-step explanation:
................
Help please thank you
Answers
3) When Jackie took her children to the movie theater, she bought one box of candy and three small drinks for
$14.75. When Alex went to the same theater and bought two boxes of candy and five small drinks, he paid
$26.
a) Set up a system of equations to model this situation. Be sure to define the variables that you use.
b) Determine, algebraically, the cost for one box of candy and one small drink
Answers
Answer:
c + 3d = 14.75
2c + 5d = 26
A box of candy is $4.25 and a drink is $3.50
Step-by-step explanation:
Let c represent the cost of a box of candy and let d represent the cost of a drink
c + 3d = 14.75
2c + 5d = 26
Solve by elimination by multiplying the top equation by -2
-2c - 6d = -29.5
2c + 5d = 26
Add them together
-d = -3.5
d = 3.5
Plug in 3.5 as d into one of the equations to solve for c
c + 3d = 14.75
c + 3(3.5) = 14.75
c + 10.5 = 14.75
c = 4.25
So, a box of candy is $4.25 and a drink is $3.50
Solve (4-2) x 32
plz help
Answers
Answer:
64
Step-by-step explanation:
Hope it helps!
Answer:
64
Step-by-step explanation:
parenthesis first
(4-2)= 2
2x32= 64
simplify 2x+1+3x+2 iohehtorgewiugfegvtwqugfewiufyvayu
Answers
Answer:
5x+3
Step-by-step explanation:
PLEASE HELP I NEED THIS I AM GIVING LOTS OF POINTS!!!!!!!!!!! How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches?
Answers
===================================================
Work Shown:
Let's find out how many smaller cubes are needed to go along the 2 & 2/3 inch side length of the bigger box.
First convert to an improper fraction
2 & 2/3 = 2 + 2/3 = 6/3 + 2/3 = 8/3
Divide this over the side length of the small cube to get
8/3 divided by 1/3 = (8/3)*(3/1) = 24/3 = 8
So we need exactly 8 small cubes along the 2 & 2/3 inch side length.
Let A = 8 so we can use this later.
------------------
Repeat the same steps for the 3 & 1/3 inch side length
3 & 1/3 = 3 + 1/3 = 9/3 + 1/3 = 10/3
10/3 divided by 1/3 = (10/3)*(3/1) = 30/3 = 10
We need 10 cubes along the 3 & 1/3 inch side length.
Let B = 10.
------------------
Repeat for the 2 & 1/3 inch side length
2 & 1/3 = 2 + 1/3 = 6 + 1/3 = 7/3
7/3 divided by 1/3 = (7/3)*(3/1) = 21/3 = 7
We need 7 cubes along the 2 & 1/3 inch side length
Let C = 7
------------------
Multiply out the values of A,B,C to get
A*B*C = 8*10*7 = 560
This means we need 560 cubes that are each 1/3 of an inch along the the side to fill up a box that has dimensions of 2 & 2/3 inches by 3 & 1/3 inches by 2 & 1/3 inches.
Lin solved the equation 8(x-3)+7=2x(4-17) incorrectly.
Find the errors in her solution. What should her answer have been?
Lin's Steps - 8 (x-3) + 7 = 2x (4 - 17)
8 (x-3) + 7 = 2x (13)
8x - 24 + 7 = 26x
8x - 17 = 26x
-17 = 34x
-1/2 = x
Answers
Answer:
22
Step-by-step explanation:
Answer:
1/2 = x
Step-by-step explanation:
8 (x-3) + 7 = 2x (4 - 17)
8 (x-3) + 7 = 2x (-13)
8x - 24 + 7 = -26x
8x - 17 = -26x
-17 = -34x
1/2 = x
7+15÷3⋅2−12 answer using orders of operations I will give the brainliest
Answers
Answer: The final answer is 5
Step-by-step explanation: Have a brilliant day mate - Lily ^_^
Answer:
the answer is 5
Step-Step-by explation:
=7+15÷3×2-12
=7+5×2-12
=7+10-12
=17-12
=5
Write 14 more then a number (pre algebra)
Answers
Answer:
14>4
Step-by-step explanation:
If we read this it literally says 14 is greater than 4. We always read left to right so if it was 14<4 it would be 14 is less than 4, which we know isn't true but just for an example.
-9x5 + x3 + 4x + 3
SIMPLIFY NEEDED ASAP !
Answers
Answer:
it's already simplified
Step-by-step explanation:
PLS HELPPP
Simplify the expression by combining 1 point
like terms:
4x + 7y + 9x + 7 + 3x – 5
Answers
Answer:
16 x + 7 y + 2
Step-by-step explanation:
Please Help!!!
Jada's sister earns a commission. she makes 3.5% of the amount she sells. Last week she sold 9,000$ worth of furniture. How much was her commission?
Answers
The length of a rectangle is twice the width. The area is 8 yd^2. Find the length and the width.
Answers
Answer:
width be x
length = 2x
Area = L*W
x*2x =8
Step-by-step explanation:
Connie keeps her sports card collection in a 54-page book. Each page has 9 slots for cards.
Football cards take up the first 18 pages of the book. Use the drop-down menus to describe
how many slots in the book may be filled with baseball cards.
Answers
Answer:
324
Step-by-step explanation:
54x9 gives total slots. Then 18x9. (54x9)-(18x9)
Harvey is working on a weekly budget. He earns $459 per week. Harvey spends $200 per week on rent and utilities plus $85 per week on food. After paying
for rent, utilities, and food, Harvey deposits of the amount left over into a savings account. He can spend the rest of the money on entertainment.
How much money does Harvey have to spend on entertainment per week?
Answers
Step-by-step explanation:
i need help with this question
CAN SOMEONE HELP I WILL GIVE BRAINLIST PLEASE!
Answers
Answer:
1) Perimeter = 34 yards
If one of the width = 5 yards then the other width = 5 yards so 10 yards
34 yards - 10 yards = 24 yards divide by 2
Length = 12 yards
2) Perimeter = 24 m of fencing
Width = 7 m
2nd Width = 7 m
24 m - 14 m = 10 m divide by 2
Length = 5 m
3) The perimeter of a square is 12 feet
Note: All sides in a square is equal!
Side = 3 feet
4) The perimeter of a square pool is 30 feet
Note: All sides in a square is equal!
Side = 5 feet
what is 25% of 45,832
Answers
HELPHELPHELP
Select all of the statements that are true about the following expression: -4x^3+3x^2-1
a
The leading coefficient is 4.
b
The polynomial is not in standard form.
c
The leading coefficient is -4.
d
The polynomial has 3 terms.
e
The degree of the polynomial is 3.
f
The polynomial is a cubic trinomial
Answers
Answer:
may be option is B the cofficient is-4
Answer:
C, E, F, D are correct answers
Step-by-step explanation:
y = 5x +7
y = 2x + 4
systems of equations
Answers
hope this helps!