Answers
9514 1404 393
Answer:
(a) C(0, 0)
(b) D(4 2/3, 2 1/3)
(c) E(1.2, 0.6)
Step-by-step explanation:
All of these problems are similar, so let's talk about how to work them in general. The points to be found are C, D, E. For this discussion, let's say the point to be found is P.
"Similar triangles" means the triangle side lengths are proportional. When P is located some fraction from A to B, it means the horizontal triangle leg from Ax to Px is that fraction of the horizontal triangle leg from Ax to Bx. In equation form, it means ...
(Px -Ax)/(Bx -Ax) = fraction
The same is true for the vertical triangle legs:
(Py -Ay)/(By -Ay) = fraction
These equations are used to find the values of Px and Py, so the coordinates of P: (Px, Py).
__
(a) (Cx -(-2))/(6 -(-2)) = 1/4 . . . . . . . substituting known values in the above equation
Cx +2 = 8(1/4) = 2 . . . . . multiply by 8
Cx = 0 . . . . . . . . . . . . . . add -2
The y-coordinate is found the same way.
(Cy -(-1))/(3 -(-1)) = 1/4
Cy +1 = 1 . . . . . . . . . . . . . multiply by 4
Cy = 0
The point 1/4 of the way from A to B is C(0, 0).
__
(b) For this, the starting and ending points are switched, so the reference point is B, not A.
(Dx -Bx)/(Ax -Bx) = 1/6
(Dx -6)/(-2 -6) = 1/6
Dx -6 = -8/6 . . . . . . . . . . . multiply by -8
Dx = 6 -4/3 = 4 2/3 . . . . . add 6
The y-coordinate is found the same way.
(Dy -3)/(-1 -3) = 1/6
Dy -3 = -4/6 . . . . . . . . . multiply by -4
Dy = 2 1/3 . . . . . . . . . . . add 3
The point 1/6 of the way from B to A is D(4 2/3, 2 1/3).
__
(c) We assume a typo in the problem statement, so that the desired ratio is ...
AE : EB = 2 : 3
This means our point E is located 2/5 of the way from A to B.
(Ex +2)/8 = 2/5 . . . . . . using previous results, we don't have to write out and compute the difference Bx -Ax
Ex = 8(2/5) -2 = 1 1/5
And the y-coordinate is computed similarly.
(Ey +1)/4 = 2/5
Ey = 8/5 -1 = 3/5
The point E dividing the segment AB into parts in the ratio 2:3 is E(1.2, 0.6).
Related Questions
The length of the table is 118 as long as its width.
Find the ratio of the length of the table to its width.
Answers
1
Step-by-step explanation:
ratio of length to width equal length per width
The doctor prescribes Sam a 140 ml bottle of medicine with the instructions to take 5 ml twice a day. How long does the medicine last? Show your solution
Answers
Answer:
14 days
Step-by-step explanation:
14
An apartment building has 35 floors with 12 apartments on each floor. There are 300 apartments that have 2 bedrooms. The rest of the apartments have 1 bedroom. How many 1-bedroom apartments are in the building?
Answers
Answer:
120 is the answer, if we multiply 35×12= 420 apartments and there is 300 with 2 bedrooms. 420-300= 120 apartments with 1 bedroom. I hope it was helpful!
The number of 1-bedroom apartments is in the building is 120 apartments.
Given that
There are 35 floors with 12 apartments on each floor so total it should be = 35 × 12 = 420.There are 300 apartments that contain 2 bedrooms.So, the number of 1-bedroom apartments is in the building is
= 420 - 300
= 120 apartment
Therefore we can conclude that The number of 1-bedroom apartments is in the building is 120 apartments.
Learn more about the building here: brainly.com/question/24285028
I need to know this quick! 10 points is Max sorry
Answers
Answer:
A
Step-by-step explanation:
[tex]\frac{5}{6}\cdot \frac{1}{2}=\frac{5}{12}[/tex]
Multiply top and bottom, on the top we get 5*1 which is 5 and on the bottom we get 6*2 which is 12.
Instructions: Simplify each expression by combining like terms.
1. -8(r-2) + 6(r-2)
2. 6-2(3x+4)
WILL MARK BRAINLIEST!!!!
Answers
2. -6x - 2
Explanation:
1. -8(r-2) + 6(r-2)
-8r + 16 + 6r - 12
-2r + 4
2. 6-2(3x + 4)
6 - 6x - 8
-6x - 2
Answer:
1. −2r+4 2. -6x-2
pls branliest ; )
help i do t understand
Answers
Answer:
14.9, 15.2, 15.4, 15.9, 15.9, 17.4, 18.3, 18.4, 18.6, 18.6Step-by-step explanation:
Stem is the number on the left side separated, leaf is the each of the numbers on the right side of the line, each of numbers indicating the tenth digit
Here is the list
14 | 9 ⇒ 14.915 | 2499 ⇒ 15.2, 15.4, 15.9, 15.916 | ⇒ none17 | 4 ⇒ 17.418 | 3466 ⇒ 18.3, 18.4, 18.6, 18.6the ratio of the base to the leg of an isosceles triangle is 2:7. if the perimeter of the triangle is 304 feet, find the length of the base
Answers
Step-by-step explanation:
I hit a expected tomorrow:No for completion of a
The required base of the isosceles triangle is given as 38 feet.
What is the isosceles triangle?A triangle with two sides and two congruent angles is called an isosceles triangle.
here,
For a given isosceles triangle,
side/base = 2 / 7
side = 2/7 base = 7 /2 sides
According to the question,
The perimeter of the triangle is 304 feet,
2 side + base = 304
2 [7/2 base] + base = 304
8 base = 304
base= 304 / 8
base = 38 feet
Thus, the required base of the isosceles triangle is given as 38 feet.
Learn more about the isosceles triangle here: https://brainly.com/question/2456591
#SPJ5
F(x)=(x-7)^2-64
Please help
Answers
Answer:
x-intercepts/ roots= (-1,0), (15,0)
f(0)= -15 (y-intercept)
Axis of symmetry: x = 7
Vertex: (7, -64)
Domain: All real numbers
Range: [-64, infty)
(-19, 12) , (-9, 1)
slope again
Answers
Why?
Difference of y / difference of x
12-1 / -19+9= 11/-10
So the slope is 11/-10
M=-11/10
Your welcome:)
What is the equation of a line with slope
12 / 2 and a y-intercept of -4 ?
Answers
Answer: y= 6x-4
Step-by-step explanation:
I wrote it in y=mx+b format. m is the slope and b is the y-intercept.
The slope is 6 because 12/2=6
Please explain how to solve 19 - 16.92 on paper
Answers
Answer:
Step-by-step explanation:
19 - 16.92.
19.00 minus
16.92 subtract 16 first
3
300 - 92 = 208
Add in the decimal point
2.08
Which polynomial is the product of (4x – 3) (3x² + 5x – 7)?
Answers
The 36x by the power of 2
Hello going to fail and not make it to highschool if I don’t pass this test!! Please help
Answers
Answer:
Step-by-step explanation:
(0, -1) (3,3)
(3 + 1)/(3 - 0) = 4/3
y + 1 = 4/3(x - 0)
y + 1 = 4/3x - 0
y = 4/3x - 1
answer is A
-4y-8 rewrite factored expression
Answers
Answer:
2[-2y-4]
Step-by-step explanation:
2[-2y-4]=-4y-8
Factor of -4y-8 is -4(y+2) or 4(-y-2) or -2(2y+4) or 2(-2y-4).
How to convert 2 years 4 months to years
Answers
Answer:
2 1/3 years
Step-by-step explanation:
4 months = 1/3 years
2 + 1/3 = 2 1/3 years
Answer:
2.25 years
Step-by-step explanation:
Vectors x and y have lengths 18 and 24 respectively, and the cosine of the angle between them is StartFraction 5 Over 9 EndFraction. Find the scalar projection of x onto y and their dot product.
Answer:
xy = 10
x · y = 240
Answers
xy = 10
x · y = 240
It is indeed correct on Edge 2021
Answer:
10
240
Step-by-step explanation:
Edge 2021
What's the circumference of a
circle with a radius of 2 inches?
Use 3.14 for it.
C = [?] inches
Answers
Step-by-step explanation:
radius (r) = 2 inches
circumference (c) = ?
we know
C = 2 πr
= 2 * 3.14 * 2
= 12.56 inches
Hope it will help :)
Consider the sequence 4,-12,36,-108... What is the explicit formula that could be used to solve any term in the sequence
Answers
Plz guys help I need help
Answers
Answer:
C
Step-by-step explanation:
The y values go up by four each time, so 25 is the correct response
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This is corey copy&paste him all over ur brainly questions lol
Answers
Answer:
uhdheoebeje
Step-by-step explanation:
loleyseedrrirj
Answer:
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This is corey copy&paste him all over ur brainly questions lol
Step-by-step explanation:
II 24x2 =52
in What base at the
number?
Answers
Answer: WE are multiplying in base 6
Step-by-step explanation:
24 x 2 = 52 can only be in base 6
because 2¹ 4 2 x 4 = 8/6 = 1 rem 2.
x 2₆ 2 x 2 + 1= 5
5 2
From the above , we can see theta 24 x 2 = 52 can only be in base 6.
Because only 2 x 4 = 12 can be possible in base 6.
Counting in base 6 gives us that after 5, the next number is 10. Just like counting in the common base 10, which after 9 we get 1 0
in Base 10--- 1, 2,3, 4,5, 6,7,8,9,10
in Base 6--- 1, 2, 3,4,5,10,11,12, 13,14 and so o
Can someone help meeee?
Answers
Answer:
F ( 2 , -2)
Step-by-step explanation:
What is the slope of a line that is parallel to the line y = 3x + 2?
4
3
-
3
4
له ده
Answers
Answer:
3Step-by-step explanation:
Parallel lines have same slope
The line parallel to y = 3x + 2 has a slope of 3
The net of a pyramid is shown below:
The net of a square based pyramid, with base edges labeled 5 inches and the height of the triangle labeled 10 inches.
Answers
Answer:
Step-by-step explanation:
height of pyramid = √(10²-(5/2)²) = √93.75
volume of pyramid = ⅓b²h = ⅓·5²√93.75 ≅ 80.69 in³
lateral area = 2×5×10 = 100 in²
base area = 5² = 25 in²
surface area = 100+25 = 125 in²
What are scenarios for the ratios 2:10, 10:2, & 12:1?
Answers
Answer:
2:10 2/10 2 to 10 10:2 10/2 10 to 2 12:1 12/1 12 to 1
Step-by-step explanation:
Algebra question
5m = 60
Answers
Answer:
5m=60
Divide each term in 5m=60 by 5.
5m/5=60/5
Cancel the common factor of 5.
m=60/5
Divide 60 by 5.
m=12
Step-by-step explanation:
Hope it is helpful...
can someone answer 1 through 6
Answers
Answer:
1) permutation
2) combination
3) combination
4) combination
5) permutation
Step-by-step explanation:
what is the answer to this image
Answers
Answer:
A
Step-by-step explanation:
You are wayyyy to young to be on this site. I mean... 5TH GRADE!!!!
help please and thank you
Answers
Answer:
[tex]-\sqrt{1}[/tex] = rational
[tex]16\pi[/tex] = irrational
[tex]-37.777[/tex] = rational
[tex]\sqrt{7\\}[/tex] = irrational
[tex]\frac{7}{8}[/tex] = rational
hope this helps, good luck :)
I am thinking of two numbers.
They have a difference of 2.
The sum of the two numbers is 14.
What is the product of the two numbers I am thinking of?
Thank you! :D
Answers
Answer:
6 and 8
Step-by-step explanation:
6+8=14 difference 2
Step-by-step explanation:
Let x and y be the 2 numbers, where x has a greater value than y.
We have x - y = 2 and x + y = 14. Adding the 2 equations up, we get 2x = 16, x = 8.
Then (8) + y = 14, y = 6.
Since the numbers are 8 and 6, the product is 48.