Given 4 coordinate points — A(2, 0), B(4, 0), C(5, –2), D(1, –2) â€" identify the figure showing a
rotation of 180Âabout the origin O.
Answer:
Option B
Step-by-step explanation:
First we would identify the coordinates of the points before they are rotated.
A(2, 0), B(4, 0), C(5, -2), D(1, -2)
Plot a graph with the coordinates.
We find that the figure appears in the fourth quadrant.
Find attached the diagram.
To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.
That is positive sign becomes negative and vice versa:
A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)
This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.
Plotting the new coordinates on a graph would give option B.
what is the slope line of m (0,6),(3,0)
Answer:
slope= y²-y¹
x²-x¹
0-6
3-0
-6
3
= -2
Simplify 7(A-6)
A-6
7A-42
7A-6
Answer:
7A - 42
Step-by-step explanation:
7(A-6)
Distribute
7*A - 7*6
7A - 42
Tarek reaches into a can that contains 30 25-fils coins, 25 10-fils coins, 40
5-fils coins and 15 1-fils coins. What is the probability that the first coin
he picks is a 25-fils coin or a 1-fils coin?
Answer:
9/22
Step-by-step explanation:
They are 30 25-fils coins, 25 10-fils coins, 40 5-fils coins and 15 1-fils coins.
The total number of fils coins = 30 + 25 + 40 + 15 = 110 coins
The probability of picking n-fils coin = number of n fils coin / total number of fils coins.
Therefore:
The probability of picking 25-fils coin = number of 25 fils coin / total number of fils coins = 30/110 = 3/11
The probability of picking 10-fils coin = number of 10 fils coin / total number of fils coins = 25/110 = 5/22
The probability of picking 5-fils coin = number of 5 fils coin / total number of fils coins = 40/110 = 4/11
The probability of picking 1-fils coin = number of 1 fils coin / total number of fils coins = 15/110 = 3/22
The probability that the first coin he picks is a 25-fils coin or a 1-fils coin = The probability of picking 25-fils coin + The probability of picking 1-fils coin = 3/11 + 3/22 = 9/22
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
Step-by-step explanation:
Take you ruler and draw a horizontal line from point (0,-2)
When you do, the point where y = -2 is when x = - 3
Answer:
x = -3
Step-by-step explanation:
the question asks for what x the function = -2
if you imagine horizontal line passing through -2 then you cann see that it crosses graph when x = -3 and 0
How many terms in
(3x^2-4x+2)-(2x^2-4x-5)
[tex]\text{Simplify:}\\\\(3x^2-4x+2)-(2x^2-4x-5)\\\\3x^2-4x+2-2x^2+4x+5\\\\x^2-4x+2+4x+5\\\\x^2+2+5\\\\x^2+7\\\\\boxed{\text{Two terms}}[/tex]
Which number produces a rational number when added to 5/8 ?
A. 0.777....
B. 5/6
C. 0.13241536...
D. -0.625
Answer:
option c is correct
Step-by-step explanation:
please mark me brainlest
please thanks
Answer:
Step-by-step explanation:
Answer is C. 0.132
A standard die is rolled. Find the probability that the number rolled is less than 4. Express your answer as a fraction in lowest terms or a
decimal rounded to the nearest millionth
Answer:
1/2
Step-by-step explanation:
The results of the roll can be
1,2,3,4,5,6
The rolls that are less than 4 are 1,2,3
P( less than 4) = number of rolls less than 4 / total
= 3/6
=1/2
Can someone please help me
Answer:
1) A.
2) C.
Step-by-step explanation:
1) 1 pint = 1/2 quarts
15 pints = 15 × 1/2 quarts
15 pints = 15/2 quarts
15 pints = 7 1/2 quarts
2) 1 quarts = 0.95 liters
4 quarts = 0.95 × 4 liters
4 quarts = 3.8 liters
What is the area of Dawn’s porch
What equation is equivalent to 3(a+4)-5(a-2)=22?
Answer:
a = 0
Step-by-step explanation:
=> 3(a+4)-5(a-2) = 22
Opening Brackets
=> 3a+12-5a+10 = 22
=> 3a-5a+12+10 = 22
=> -2a+22 = 22
Subtracting 22 to both sides
=> -2a = 0
Dividing both sides by -2
We get,
=> a = 0
Answer:
a = 0
Step-by-step explanation:
3(a+4)-5(a-2)=22
3a+12-5a+10=22
-2a+22=22
Subtract 22 from both sides
-2a=0
Multiply both sides by -1
2a= -0
2a=0
Divide both sides by 2
a=0
Hey I just realized my answer is really similar to Ujalakhan01's so sorry if it seems like I copied them.
A boy is playing ball in a garden surrounded by a wall 2.5 m high kicks the ball vertically up from a height of 0.4 m with a spee d of 14 m/s.For how long is the ball above the height of the wall .
Answer:
2.5 sec
Step-by-step explanation:
Height of wall = 2.5 m
initial speed of ball = 14 m/s
height from which ball is kicked = 0.4 m
we calculate the speed of the ball at the height that matches the wall first
height that matches wall = 2.5 - 0.4 = 2.1 m
using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)
[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)
[tex]V^{2}[/tex] = 196 - 41.202
[tex]V^{2}[/tex] = 154.8
v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s
this is the velocity of the ball at exactly the point where the wall ends.
At the maximum height, the speed of the ball becomes zero
therefore,
u = 12.44 m/s
v = 0 m/s
a = -9.81 m/s^2
t = ?
using V = U + at
0 = 12.44 - 9.81t
-12.44 = -9.81
t = -12.44/-9.81
t = 1.27 s
the maximum height the ball reaches will be gotten with
[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
a = -9.81 m/s^2
0 = [tex]14^{2}[/tex] + 2(-9.81s)
0 = 196 - 19.62s
s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.
height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m
we calculate for the time taken for the ball to travel down this height
a = 9.81 m/s^2 (positive in downwards movement)
u = 0
s = 7.49 m
using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]
7.49 = (0 x t) + [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )
7.49 = 0 + 4.9[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = 7.49/4.9 = 1.53
t = [tex]\sqrt{1.53}[/tex] = 1.23 sec
Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold. What expression represents the profit?
A. 27x – 650
B. 27x + 390
C. 33x – 650
D. 33x + 390
Answer:
We need to subtract both equations. 2x3+30x-130-2x3+3x+520
that gives
30x-130+3x + 520
33x+390
D is answer
Answer:
D. 33x + 390
Step-by-step explanation:
Profit is the difference between revenue and cost so subtract the given polynomials:
2x³ + 30x – 130 - (2x³ – 3x – 520) = 2x³ + 30x – 130 -2x³+3x+520
combine like terms: 33x +390
three points of -x + 2y = 2
Answer:
y = 1 + x/2
x = -2 + y
Step-by-step explanation:
Theres no question here so i just solved for x and y.
Step-by-step explanation:
y=1x/2+1
Please answer correctly !!!!!! Will mark brianliest answer !!!!!!!!!!
Answer:
see below
Step-by-step explanation:
g(x) = (x² - 2 * 1/2 x) - 6
= (x - 0.5)² - 0.25 - 6
= 1(x - 0.5)² - 6.25
Which of the following are exterior angles? Check all that apply
Answer:
Options A, E
Step-by-step explanation:
If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;
[tex]< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle[/tex]
Refer to Solution below;
A. Check!
E. Check!
Viktoriya solved an equation as shown below.
5 (x - 2) -3 x = 2 (x - 3) - 16
5 x - 10 -3 x = 2 x -6 = 16
2 x - 10 = 2 x - 22.
-10 = -22.
She says that the equation has infinitely many solutions. Which describes Viktoriya’s error?
A.) Viktoriya used the distributive property incorrectly when she found the solution.
B.) Viktoriya should have said that the equation has no solution.
C.) Viktoriya should have continued to solve the equation to find that x = 0.
D.) Viktoriya should have said that the equation has one unique solution.
Answer:
B
Step-by-step explanation:
When you finish solving an equation and find the answer to be that two numbers are equal to each other when they are in fact, this means that the equation has no solutions because not values could make it true. Hpope this helps!
Answer:
I think it is B
Step-by-step explanation:
At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale
Answer:
$14
Step-by-step explanation:
35% is the same as multiplying by .35
40 * .35 = 14
Item 50
There are 6 green marbles and 7 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.
Answer:
6/13
Step-by-step explanation:
There are 13 marbles total in the bag.
The chance of picking a green marble is 6/13. This fraction cannot be simplified.
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
The trip is 45 and 1/2 miles long
Step-by-step explanation:
the lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line?
A. 2/3
B. -2/3
C. -3/2
D. 3/2
Answer:
-2/3
Step-by-step explanation:
Perpendicular slopes have lines that multiply to -1
m* 3/2 = -1
Multiply each side by 2/3
m* 3/2 * 2/3 = -1 * 2/3
m = -2/3
The slope of the perpendicular line is -2/3
Answer:
The answer is B
I use an online graphing calculator called Desmos. You should check it out some time :)
Lorrie biked d miles in 2 hours. She traveled at an average speed of more than 8 miles per hour. To determine the distance she may have traveled, she uses the inequality 2d > 8. She then determines that she biked at most 4 miles. Analyze Lorrie’s inequality and solution.
Answer:
[tex]\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}[/tex]
[tex]\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the problem
Given:
Lorrie biked [tex]d[/tex] miles in time [tex]t = 2[/tex] hours.
Lorrie traveled at speed [tex]s[/tex] which is greater than [tex]8[/tex] (mile/hour).
Task:
Lorrie wants to determine the distance she may have traveled.
Key point:
The relation among the distance biked [tex]d[/tex], time [tex]t[/tex], and the speed [tex]s[/tex] is represented:
[tex]d = s[/tex] x [tex]t[/tex]
Step 2: Substitute given data into the main relation
with: [tex]s > 8[/tex] and [tex]t = 2[/tex]
=> [tex]d = s[/tex] x [tex]t[/tex]
=> [tex]d[/tex] > [tex]8[/tex] x [tex]2[/tex]
Simplify:
[tex]d > 16[/tex]
Step 3: Verify Lorrie's inequality
Lorrie uses the inequality [tex]2d > 8[/tex] to conclude that she traveled a distance [tex]d[/tex] at most [tex]4[/tex] miles, or [tex]d < 4[/tex].
Considering the correct answer is at step 2, in which, [tex]d > 16[/tex].
=> Lorrie's conclusion is incorrect.
Hope this helps!
:)
Answer:
Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.
Step-by-step explanation:
took the test
Help!
Suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated past the biologist on the trail. Each minute, the number of wildebeests per minute increased by 3.
How many wildebeests migrated past the biologist during the first 20 minutes?
Enter your answer in the box.
Step-by-step explanation:
first minute = 24 wildebeest
by 20 min = (20 × 3) + 24 = 84 wildebeest
For each pair of congruent triangles, name the corresponding parts then complete the congruence statement
Answer:
First one
Step-by-step explanation:
Which square root is between 4 and 5?
Answer:
√24
Step-by-step explanation:
4.89897948 will be the answer. Which is a number in between 4 and 5. Hope this helps :)
I have been asking for assistance for an hour and a half now, I will greaty appreciate anyone that can help with this..Find the Slopes,and for the third one find Mid-point
Answer:
1st graph: m = -1/2. (m is the slope)
2nd graph: m = 3/2.
3rd graph: Midpoint = (1/2, 1/2)
Step-by-step explanation:
1st graph:
Find the slope by looking for two points on the line. Use the formula [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.
[tex]m= \frac{-2-0}{1-(-3)}[/tex]
Simplify this, giving you: m = -1/2.
2nd graph:
Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)
[tex]m = \frac{4-1}{1-(-1)}[/tex]
Simplifying gets you: m = 3/2.
3rd graph:
To find the midpoint, use the formula: [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
Plug in the end-points of the graph, or (-3, 2) and (4, -1).
You get:
[tex](\frac{-3+4}{2}, \frac{2-1}{2})[/tex]
Simplify:
Midpoint = (1/2, 1/2)
which of the following descriptions represents the transformation shown in the image?
Answer:
A
Step-by-step explanation:
It is a 90-degree rotation counterclockwise 2 units left and 3 units down.
Find the volume of a cone. Either enter an exact answer in terms of or use 3.14 for pi and round your final answer to the nearest hundredth. The radius is 2 the height is 9
Answer:
12 units³
Step-by-step explanation:
The required formula is V = (1/3)πr²h, where r is the radius and h is the height. Here we get:
V = (1/3)π(2)²(9) = (1/3)π(9)(4) = 12 units³
How many different angle measures the two parallel and one crossing line can make?
Answer:
The answer is 2 different angles, 53° and 127°.
Explanation:
As you subtract 180° from the given angle to find the other angle, you will get only 2 angles either 53° or 127°.
I will mark you brainliest!!!! Which statement is true for f(x)=6•(7)x?
Answer:
D
Step-by-step explanation:
A. The domain of this function is infinite, since x can be any number.
B. To find the y intercept, you need to set x to 0. 7^x will become 1, and 6*1=6, so the y intercept is (0,6).
C. This function is not always decreasing. For instance, when x is positive, it exponenentially increases.
D. As I said before, the y intercept of the function is (0,6), meaning that this statement is correct.
Hope this helps!