triangle ABC rotated 90 degress clockwise about point P to create triangle DEF. Determine the correct orientation and location of triangle DEF
Answers
When a triangle is rotated, it must be rotated through a center.
The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)
The triangle is given as: triangle ABC.
And the degree of rotation is 90 degrees clockwise.
Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.
And the orientation would point to the right of point P.
Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).
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Related Questions
A car dealer starts the month with 120 cars. The dealer sells 3 cars each day. The number of cars remaining on any day can by modeled by the function f(x) = 120 - 3x. What should the domain of the function be if you want to know the number of cars remaining on any day during the month? What are the maximum and minimum values during the month?
Answers
The domain of the function to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.
The domain is the all inputted value for which the function is defined. All the x values are domain of a function.
Now, finding the domain of the function,
We know that, the number of cars cannot be negative, so
[tex]f(x)\geq0\\120-3x\geq0\\3x\leq120\\x\leq40[/tex]
The number of cars should be greater than 0, so x > 0.
So, the domain will be [0, 40].
The maximum value is given by putting x = 0,
[tex]f(0)=120-3(0)\\=120[/tex]
The minimum value is given by putting x = 40,
[tex]f(40)=120-3\times40\\=120-120\\=0[/tex]
Therefore, the domain of the function f(x)=120-3x to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.
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What number could replace n?
6/12 = 2/n
n = ___
Answers
n = 4
Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.
Answer: 4
Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.
Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.
Check:
6/12 = 1/2
2/4 = 1/2
Hope this explanation helps.
the perimeter of a square is 72 inches, what is its area?
Answers
Answer:
A = 324 in²
Step-by-step explanation:
A square has 4 congruent sides s , then
s = 72 ÷ 4 = 18 in
The area (A) of a square is calculated as
A = s² = 18² = 324 in²
Your family goes to a restaurant for dinner. There are
12 people in your family. Some order the chicken dinner for
$14.99 and some order the steak dinner for $25. if the total
bill was $219.92, how many people ordered each type of
dinner?
Answers
Answer:
8 chicken and 4 steak .
Step-by-step explanation:
8 x 14.99 = 119.29
4 x 25 = 100
4. Which of the following is an example of an expression?
1. 3y - 4x -12
2. 4x + 3y
3. y > -2x - 1
4.9x < -27
Answers
Answer:
i believe its 2 but i might be wrong sorry if i am
Step-by-step explanation:
I think it could be number 1 or number 2
Find the greatest common factor of 15c and 8c2.
Answers
If 1=3
2=3
3=5
4=4
4=4
Then, 6=?
[tex] \: \: \: [/tex]
Answers
Answer:
6 = 3 If u write 1 in word then u will write one and if you count the letter it will give u 3 .Similarly if u write the number 2,3,4,5 in word and count the number you will get 3,5,4,4 respectively .So ,If u write 6 in a word you will write six and on counting the letter you will get 3 .Hence ,6 = 3( 8 x 400 ) + ( 8 x 9 )
Answers
Answer:
3,272
Step-by-step explanation:
8 x 400 = 3200
8 x 9= 72
3200 + 72 = 3,272
If f (x) = 7+2x and g(x) =5x -2, find f (7)
Answers
Answer:f=103.444
Step-by-step explanation:
took this test and got an A++
The value of the function [tex]f(x)=7+2x[/tex] for [tex]f(7)[/tex] is 21.
The given functions are [tex]f(x)=7+2x[/tex] and [tex]g(x)=5x-2[/tex].
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To find [tex]f(7)[/tex], substitute [tex]x=7[/tex] in [tex]f(x)=7+2x[/tex], we get
[tex]f(7)=7+2(7)[/tex]
[tex]f(7)=21[/tex]
Therefore, the value of the function [tex]f(x)=7+2x[/tex] for [tex]f(7)[/tex] is 21.
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Henry can write 5 55 pages of his novel in 3 33 hours.how many pages can Henry write in 8 88 hours?
Answers
What is the equation of the line with a y-intercept of -10 and a slope of 7?
Answers
Answer:
do it got a picture
Step-by-step explanation:
y=mx+b
y=slope(x)+y-intercept
Write an inequality that represents the graph.
Answers
espaneool
Step-by-step explanation:
Help me :) Please and Thanks
Answers
Answer:
0.65
Step-by-step explanation:
the number is greater than 0.5 and less than 7, that would usually be 0.6 but since it has two decimal places, it can be 0.61 to 0.68 since 0.69 would be the largest
What is the slope of the line with the equation: y+6=24-2x
pleeaseeee
Answers
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
y=18-2x
y=-2x+18
Answer:
Slope = -2
Step-by-step explanation:
Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.
the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be
m=-2/1 rise/run
Which situation would use the midpoint formula?
a-Calculate the distance from Trenton to Jackson using a map.
b-Find the slope between two points.
c-Two friends live across town from each other. A park located in the center of town is the same distance from each friend. Find the location of the park when given the location of the each friend's house.
d-Locate the ordered pair (5,-2) on a coordinate plane.
(can chose more than one)
Answers
Answer:
A and C
Hope this helps!!
If I am wrong please tell me I enjoy learning from my mistakes:)
need help on these 2 questions
Answers
Answer: y = -1 and x = 3
Step-by-step explanation:
x=-2y+6
3x-4y = 28
There are two ways to solve this: 1) solve directly with the equations, and 2) graph the line and look for the intersection.
---
Use the definition of x from the first equation and substitute it in the second:
3x-4y = 28
3(-2y+6)-4y = 28
-6y + 18 -4y = 28
-10y = 10
y = - 1
---
Graph the two lines and find the value of y at the point they intersect. See the attachment.
y = -1 at x= 8
=======================
For the second question:
y=3x-10
4x+5y=7
---
4x+5y=7
4x+5(3x-10)=7
4x+15x-50=7
19x = 57
x = 3
----
Profit is defined as earnings less expenses (earnings - expenses). At the local hot-air balloon festival, the Ma & Pops Ice Cream Truck sells ice cream pops, which cost them $0.75 each, but are sold for $2 each. They also paid $50 to the festival's organizers for a vendor permit. The table below shows the earnings, expenses, and profit earned when 50, 75, and 100 ice cream pops were sold at the festival.
Answers
Answer:
Step-by-step explanation:
50 POINTS!!!!!!!!
(if you answer just for points or its a wrong answer and no effort was put fourth, then I will report and remove your answer, however a correct answer I will mark with a brainliest)
Please also provide and in detail explanation on how you solved it.
Substitution:
2x + 4y = 0
y = -8x
Basically I dont understand how to do it if it has an x value on both the top and the bottom equation.
Answers
Answer:
x=0, y=0
(0,0)
Step-by-step explanation:
First you see that y= -8x, so you would place that in the y variable for the question above, which means your question would now be 2x+4(-8x)=0. Now you would solve 4 time -8x which is -32x. The equation would then be 2x-32x=0. Then you would Combine Like Terms which would get you -30x=0. Then you divide -30 by 0 which gets you an x = 0. Then you would solve for y. Lets make it easy. You can plug in the x to any of the substitution problems, but I prefer doing it to y= -8x since it is easier. You will see why. You would then do, -8(0) (0 is the x value) and your answer would be 0, because -8 times 0 is well 0. Once you got this, you know your x is 0 and y is 0, so your answer would be (0,0). The reason it is easier to substitute the bottom rather than the top is because for the top, you would do 2(0) + 4y = 0, then you would solve which gets you 0+4y=0, then subtract 0-0 which is 0, then you would divide 4y by 0 which gets you an answer of 0. This is much more complex than just substituting the problem for y = -8x. I really hope this helps you out. I know it is confusing, but if you keep on solving more of these and working them out, then it will become much easier for you.
Directions- If each quadrilateral below is rectangle, find the missing measures
Answers
Answer:
1) 59
2) 31
3) 59
4) 31
5) 31
6) 59
7) 118
8) 62
9) 62
10) 118
11) 31
Step-by-step explanation:
The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!
Write a quadratic function whose zeros are 2 and -12. 60 Point question Answer ASAP for brainliest!
Answers
Answer:
x^2 + 10x - 24 = 0
Step-by-step explanation:
Two zeros are 2 and -12:
x - 2 = 0x + 12 = 0So the function is (x-2)(x+12) = 0
<=> x^2 + 12x - 2x - 24 = 0
<=> x^2 + 10x - 24 = 0
what is 56/53 = I'm so confused I used my calculator but i don't know whats accurate
Answers
Answer:
1.05660377358 or 1.06 rounded
Step-by-step explanation:
If it needs to be rounded, use 1.06 or 1.057. If not, the exact answer is 1.05660377358.
Answer:
1.056603774
Step-by-step explanation:
pls i cant do this more longer i need help i will give brainlist !!!!!!!!!
Answers
Basically, 6 is the base number for this. The equation for this is 6 * 3^n
The 12th number in this sequence is 3,188,646
Hope this helps :)
Answer:
Step-by-step explanation:
6, 18, 54, 162, ...
[tex]a_{1}[/tex] = 6
r = 3
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
[tex]a_{12}[/tex] = 6 × [tex]3^{11}[/tex] = 1,062,882
Solve for X (x-4)(x-3)=0
Answers
[tex](x-4)(x-3) =0\\\\\implies x-4 = 0~~ \text{ or}~~ x - 3 = 0\\\\\implies x = 4~~ \text{or}~~ x = 3[/tex]
On a snow day, Claire created two snowmen in her backyard. Snowman A was built to a height of 29 inches and Snowman B was built to a height of 54 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 3 inches per hour and Snowman B's height decreased by 8 inches per hour. Let
A
A represent the height of Snowman A
t
t hours after sunrise and let
B
B represent the height of Snowman B
t
t hours after sunrise. Write an equation for each situation, in terms of
t
,
t, and determine the number of hours after sunrise when both snowmen have an equal height.
Answers
Answer:
29 - 3t = 54 - 8t
-29 -29
-3t = 25 - 8t
+8t +8t
5t = 25
/5 /5
t = 5
The snowmen will have an equal height after 5 hours.
If the slope of a line is 2/3 and one point is (1, 1), what could be another point?
Answers
Answer:
(3,4)
Step-by-step explanation:
My old teacher taught me a trick for this. Treat the first number like the y and the second like the x. Count Accordingly from there.
Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answers
Answer:
R3. alternate interior angles
( alternate interior angles are always congruent )
S4. AC = CA
R5. ASA triangle congruence property
( you have 2 angles and the included side, so you know they're congruent )
lmk if you want an actual explanation
Need help l don’t understand could someone help me?
Answers
Answer:
first put the numbers and unknowns to different sides, as in 6x-3x= 14-5, now solve for x, 3x=9, divide each side by 3 to get the value of x, x=3
Step-by-step explanation:
I did it for you. (Step by step)
I hope this helps.
Can someone help me with this problem plz
Answers
Answer:
mq - 12
ql - 36
Step-by-step explanation:
I am not for sure but this is what I think it is because the m-q is smaller than the q-l
write an equation of the line passing through the point (5,2) that is perpendicular to the line "-x+3y=12"
Answers
Answer:
y = -3x + 17
Step-by-step explanation:
first, change the equation into slope-intercept form
add 'x' to each side to get:
3y + x = 12
divide each side by 3 to get:
y = 1/3x + 4
now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:
2 = -3(5) + b
2 = -15 + b
17 = b
put slope and y-intercept together to get:
y = -3x + 17
What is 3/7 + 4/18 estimated
Answers
Answer:
41/63
Step-by-step explanation:
41/63 can't be simplified
Answer:
3/7+4/18=41/63
Step-by-step explanation:
3/7=3x18/7x18=53/126
4/18=4x7/18x7=28/126
54/126+28)126=54+28/126=82/126
82/126
simplify
41/63
