In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC Is vertical and line segment CD is horizontal, what are the coordinates of point C?
Answers
Answer:
(2, -1)
Step-by-step explanation:
First off, we need to find the coordinates of D. We do this by applying the partitioning formula. It is (m/m+n)(x2-x1) +x1 for x and (m/m+n)(y2-y1)+y1 for y. The value of m is 5 and n is 3. You would need to input the valuables in. This will create (5/8)(10-2)+2 for x and (5/8)(2-(-6))-6 for y. In the end, we will have 7 for x and -1 for y. To find c we just need to find what coordinates follow the x axis and for what y. We see that C follows the x coordinates of point A and y coordinates follow point D.
Related Questions
In this unit, you calculated the surface area of solid figures composed of polygons, such as rectangles and triangles. But imagine finding the surface area of a cylinder—a solid figure that has several curved surfaces. A cylinder is made up of two circular bases and a curved (lateral) surface in between. Develop a formula for finding the surface area of the outside of a cylinder based on what you know about the circumference of a circle and the areas of circles and rectangles. (Hint: Think about rolling a rectangular piece of paper into the shape of a cylinder.) Discuss your approach and why it works.
Answers
Answer:
The surface area of a cylinder is the surface area of rectangular piece of paper as you roll it into a cylinder
and the surface area of the base and top areas:
Assume that you had a rectangular piece of paper with the long side h, and short side w, let h be the height of the cylinder as you roll it, the surface area generated is the circumference of the circle with radius r multiplied by the height = 2 ¶ r h . The area of the top and bottom circular bases is 2 ¶ r2
The total surface area = 2 ¶ r h + 2 ¶ r2 = 2 ¶ r ( h+ r ) to express r in terms of w , w = 2 ¶ r the width of the rectangle equal to the circumference of the circle , then the total surface area = w ( h+ r )
but r = w / 2 ¶ , the surface area = w(h+w/ 2¶) = (wh+ w2/2¶)
Step-by-step explanation:
5. To rent a bicycle a bike shop charges a deposit plus an hourly rate, Jim can
determine how much he will have to pay for a rental lasting t hours by using the
expression 8t + 20. What does the coefficient 8 most likely represent?
a) time
b.) insurance
c.) hourly rate
d.) deposit
Answers
Answer:
c.) hourly rate
Step-by-step explanation:
The value the coefficient represents can often be learned from its units. The term 8t gives a value in currency units, since the expression 8t+20 is an amount that is to be paid. (We can only add like terms, so both 8t and 20 must have currency units.)
The value of t has units of hours, so the coefficient 8 must have units that are ...
8 currency units/hour
That is, multiplying by hours gives currency units.
In this context, a number with units of currency units per hour is most likely the hourly rate of the rental.
What’s the answer?????? #10
Answers
Answer:
1024 or A
Step-by-step explanation:
64 x4 is 256 x4 it's a 1024
multiple -c2( 3c - 2)
Answers
Answer:
[tex]-3c^3+2c^2[/tex]
Step-by-step explanation:
[tex]-c2( 3c - 2)[/tex]
Apply distributive law:
[tex]-c^2\times \:3c-\left(-c^2\right)\times \:2[/tex]
[tex]-3c^3+2c^2[/tex]
=(-c2 x 3c) - (-c2 x 2)
=-3c3 - (-2c2)
=-3c3 + 2c2
Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form
Answers
Explanation:
First find the slope 2-(-4)/-1-7 which simplified equals to -3/4. Then use one of the coordinates to find y-intercept
17) The measures of two sides of a triangle are (2x + 3y) and (5x – 2y). If the perimeter
of the triangle is (12x + 5y), what is the measure of the third side?
Answers
Answer:
5x +4y
Step-by-step explanation:
The perimeter of a triangle is the sum of side lengths. That fact can be used to find z, the length of the third side.
(2x +3y) +(5x -2y) +z = 12x +5y . . . . sum of sides is perimeter
z = (12x +5y) -(7x +y) . . . . . . . . . . . . subtract (7x+y) from both sides
z = 5x +4y . . . . . . . . . collect terms; the length of the third side
The third side of the triangle is (5x +4y).
Find the original price of a CD if it was discounted by 5% and was sold for $21.84.
Answers
Answer:
$ 22.98
Step-by-step explanation:
discounted = 5%
sold at = 100 % - 5%
= 95%
let the original price of CD be x
= 95% of x =21.84
= 95/100 × x = 21.84
= x = 21.84 × 100/95
= x = 2184/95
= x = $22.98Please mark my answer the brainliest and rate me 5 star and follow me.please please please please please please
PLEASE HELP ME WITH THIS KHAN ITS NOT HARD IM JUST TIRED
I WILL MARK BRAINLIEST
Answers
Answer: c
Step-by-step explanation: if you draw second function you'll see they are the same so slop is also the same(0.5)
pasagot nmn po thanks
Answers
Answer:
wag Po lagi umasa sa brainl.
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to stimulate the weather in the video game.
Answers
Answer: See below
Step-by-step explanation:
30% * 50
= 30/100 * 50
= 15
Therefore, 30% of the integers between 1 and 50 are in the range 1 to 15
So the random integer generated is in this range, that is, less than or equal to 15, then the weather must be simulated to be rainy.
This would mean that the chance of rain on each day is 30% (if the computer generates the random number consistently)
The lateral area of a cone is 12.8π in. The radius is 1.6 in. Find the slant height.
Answers
Answer:
8
Step-by-step explanation:
12.8π=πrl
12.8=1.6*l. (π=πcancel)
l=12.8/1.6
l=8
50 points and brainlest
Answers
1. D
2. B
3. B
4. C
5. A
6. C
7. C
8. B
9. D
10. D
Step-by-step explanation:
i just took the test
Answer:
Question 1 ⇔ .D
Question 2 ⇔ .B
Question 3 ⇔ .B
Question 4 ⇔ .C
Question 5 ⇔ .A
Question 6 ⇔ .A
Question 7 ⇔ .C
Question 8 ⇔ .B
Question 9 ⇔ .B
Question 10 ⇔ .D
Step-by-step explanation:
I hope this helps and have a good day!
Find the equation of a line parallel to y=4x−4 that contains the point (−2,0). Write the equation in slope-intercept form.
Answers
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{4} x-4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 4 and passes through (-2 , 0)
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{4}(x-\stackrel{x_1}{(-2)}) \\\\\\ y=4(x+2)\implies y=4x+8[/tex]
Name:
Chapter 5 Section 1
More Practice Finding the Coordinates of the point of Concurrency
1. The vertices of AABC are A(1,6), B(5,4), C(5,-2). Find the coordinates of the circumcenter.
a) Graph and label the triangle
b) Find the midpoint of each side of the triangle
Midpoint AB = 5, 1)
Midpointbc =
し32)
Midpointac = [1, 2]
c) Find the slope of each side of the triangle
MAB =
MBC =
MAC =
d) Find the slope of each perpendicular bisector
IMAB =
IMBc =
IMAC =
e) Use the midpoint and the perpendicular slope to accurately draw each perpendicu
bisector on the triangle.
Answers
Answer:
see the attachments for the graph, and a spreadsheet with midpoints and slopes
Step-by-step explanation:
We are given the coordinates of the vertices of a triangle, and asked to find the parameters of the perpendicular bisectors of the sides of the triangle. The perpendicular bisectors are to be plotted on the graph.
Given:Coordinates A(1, 6), B(5, 4), C(5, -2)
__
Find:a) Graph and label the triangle
b) Find the midpoint of each side of the triangle
c) Find the slope of each side of the triangle
d) Find the slope of each perpendicular bisector
e) Use the midpoint and the perpendicular slope to accurately draw each perpendicular bisector on the triangle
__
Solution:a)See the attached graph for shaded triangle ABC.
__
b)The midpoint (M) of a segment AB will be ...
M = (A+B)/2
For example, the midpoint of segment AB is ...
D = ((1, 6) +(5, 4))/2 = (1+5, 6+4)/2 = (6, 10)/2 = (3, 5)
This repetitive arithmetic is carried out in the spreadsheet shown in the second attachment. The midpoints are ...
D(3, 5) is midpoint of AB
E(5, 1) is midpoint of BC
F(3, 2) is midpoint of CA
__
c)The slope of a segment is found using the slope formula (or by counting grid squares). That formula is ...
m = (y2 -y1)/(x2 -x1)
For segment AB, this is ...
mAB = (4 -6)/(5 -1) = -2/4 = -1/2
The other slopes are calculated similarly in the spreadsheet. When the denominator is zero (a vertical line), the slope is "undefined."
mBC = undefined
mCA = -2
__
d)The slope of the perpendicular line is the opposite reciprocal of the slope of the segment.
m⟂AB = -1/(-1/2) = 2
m⟂BC = 0 . . . . . a horizontal line has 0 slope
m⟂CA = -1/-2 = 1/2
__
e)The perpendicular bisectors of each of the sides of the triangle are shown in the first attachment. As the lesson title indicates, their point of concurrency is G(1, 1), the circumcenter of the triangle.
The total cost of 7 shirts and 5 pairs of pants is $517. The total cost of a shirt and a pair of pants is $89. How much does a pair of pants cost?
Answers
Answer:
pair of pants = $53
Step-by-step explanation:
s = shirts
p = pair of pants
eq = equation
eq 1: 7s + 5p = 517
eq 2: s + p = 89
multiply the equation 2 by 7
eq 3: 7s + 7p = 623
negate equation 1 and add it to the eq 3
7s + 7p = 623
+ -7s - 5p = -517
2p = 106
p = 53
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Answers
Answer:
544cm^2
Step-by-step explanation:
A=2(wl+hl+hw)
=2(6×16+8×16+8× 6)
= 544cm^2
elijah has three neighbors the sum of all the neighbors ages is 80 the second-oldest neighbor is 28 years old the difference between the ages of the oldest neighbor and the youngest neighbor is 30, what is the age of the youngest neighbor ?
Answers
Ans:
Step-by-step explanation:
Let the age of oldest neighbour be x
let the age of youngest neighbour be x-30
According to question,
x+28+x-30 = 80
or, 2x +28-30=80
or,2x+28=80+30
or, 2x=110-28
or, 2x=82
or, x=82/2 = 41
Therefore, The age of oldest neighbour is 41 years
& The age of youngest neighbour= x-30 = 41-30 = 11 years!
Find the solution set of given inequality. Pls answer fast its urgent. I will give 90 points to the person who will answer it and also mark his answer as brainliest
Answers
Answer:
x ≥ 5
Step-by-step explanation:
5 + 2(2x - 3) ≥ 3x + 4
Expand brackets:
⇒ 5 + 4x - 6 ≥ 3x + 4
Combine like terms:
⇒ 4x - 1 ≥ 3x + 4
Subtract 3x from both sides:
⇒ x - 1 ≥ 4
Add 1 to both sides:
⇒ x ≥ 5
Answer: x>=5
Step-by-step explanation:
Simplify the expression
5+2\cdot\left(2x-3\right)>=3x+4
5+2\cdot2x+2\cdot-3>=3x+4
5+4x-6>=3x+4
4x+\left(5-6\right)>=3x+4
4x-1>=3x+4
Group all r terms on the left side of the inequality
x-1>=4
x-1+1>=4+1
x>=4+1
x>=5
Help me please please
Answers
Answer:
Compete Risk Free with $100,000 in Virtual Cash
Have prices been going up or down recently? In a seller’s market properties will likely be somewhat overpriced, and in a buyer’s market properties are apt to be underpriced. It all depends on where the market currently sits on the real estate boom-and-bust curve.
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A 9 foot ladder liens against the side of a house how far is the bottom of the ladder from the side of the house when the angle of elevation of the latter is 75°
Answers
==========================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(75) = x/9
x = 9*cos(75)
x = 2.32937140592269
x = 2.3
The bottom of the ladder is about 2.3 feet from the bottom of the house.
Please help me urgently
Answers
Answer:
3/8 seems to be the most relevant answer
What is the value of x for the inequality in the box? 3 ( x − 7 ) + 4 ≥ 22
Answers
Step-by-step explanation:
3(x-7) + 4 = 22
or,3x-21+4 = 22
or, 3x-17 = 22
or, 3x = 22+17
or, x = 39/3
x = 13
use pascals triangle to find the coefficient of the third term in the expansion of (a + b)2
Answers
Answer:
2. ( a + b )
Step-by-step explanation:
The (a + b)2 formula is the algebraic identity used to find the square of the sum of two numbers. To find the formula of the binomial in the form (a + b)2, we will just multiply (a + b) (a + b).
The triangles shown below must be congruent . true or false how do I solve this
Answers
Answer: its A
Step-by-step explanation:
3 1/3 + 1 1/2= 3 2/6 + 1 3/6
Answers
Answer:
True
Step-by-step explanation:
3 1/3 is the same as 3 2/6
2/6 can be simplified to 1/3
nothing moves with the 3
3 2/6 = 3 1/3
1 1/2 is the same as 1 3/6
3/6 can be simplified down to 1/2
1 doesn't change
1 1/2 = 1 3/6
3 1/3 + 1 1/2 = 3 2/6 + 1 3/6 is infact true
Trapezia ABCD and PQRS are similar.
Find the area shaded in green.
Answers
The area shaded in green is 864 cm²
Similar figures
Similar figures, corresponding angles are congruent and the sides are ratio of each other. Therefore,
AB / PQ = CD / RS
30 / 10 = 24 / RS
30RS = 240
RS = 240 / 30
RS = 8 cm
let find the height of trapezium PQRS.
AB / PQ = 36 / h
30 / 10 = 36 / h
30h = 360
h = 360 / 30
h = 12 cm
Therefore,
area of the green portion = area of ABCD - area of PQRS
Area of a trapeziumarea = 1 / 2(a + b)hTherefore,
area of ABCD = 1 / 2(24 + 30)36 = 1 / 2 (54)36 = 1944 / 2 = 972 cm²
area of PQRS = 1 / 2(10 + 8)12 = 1 / 2(18)12 = 216 / 2 = 108 cm²
Area of the green portion = 972 - 108 = 864 cm²
learn more on trapezium here: https://brainly.com/question/11961445
The type of eruption is directly related to the type of magma that is feeding them.
True Or False
Answers
Answer:
True
Step-by-step explanation:
The reason why this is true is because it is totally related. In a Shield volcano, the eruption happens with very fast, less dense, and more magma than that which comes from the stratovolcano. In a stratovolcano, most of the things are just ash and toxic gases. So, that's why, the stratovolcano is also more dangerous.
So hence, your answer is True
Thanks!
MiniMeteorologist
Solve by Substituting the equation -4x+y=-7, -8x+2y=-14
Answers
Step-by-step explanation:
I solved it using substitution method
Answer:
All Real Numbers
Step-by-step explanation:
Javier has 24 math problems for homework this week. On Monday he solved 2/6 of the problems on Tuesday he solved 3/6 of the problems.on Thursday he finish solving the rest of the problems. How many problems did Javier solve on thursday
Answers
Answer:
[tex]the \: whole \: week \: \frac{6}{6} = 24 \\ monday \: and \: tuesday \: \\ \frac{2}{6} + \frac{3}{6} = \frac{5}{6} \\ thursday \\ \frac{6}{6} - \frac{5}{6} = \frac{1}{6} \\ 24 \times \frac{1}{6} = 4[/tex]
Can someone help solve this question?
Answers
Answer:
Total percentage is always 100% so if its 12% for her to slip the remainder is 100-12= 88.
88% she doesn't slip.
Using Percentage, the odds against jessie slips on the ice is 88%.
What is percentage?A percentage is a "number or ratio that can be expressed as a fraction of 100".
According to the question,
The probability of jessie slip on the ice is 12% and the percentage is always taken as 100%.
In order to find the odds against jessie slips on the ice only if difference from 100% to 12%.
100 - 12 = 88.
Hence, the odds against jessie slips on the ice is 88 percentage.
Learn more about percentage here
https://brainly.com/question/19926290
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