2.
Consider the following graph and rotate point P 90° counterclockwise
around two points: the origin and (-2,4). Sketch both points on the
graph.
Answers
Answer:
[tex]P: (-2,4)[/tex]
[tex]P' : (-4,-2)[/tex]
Step-by-step explanation:
Given
[tex]P: (-2,4)[/tex]
Required
Rotate 90 degrees counterclockwise
Show both points on graph
[tex]P: (-2,4)[/tex]
When a point is rotated counterclockwise by 90 degrees, the new point is:
[tex]P':(-y,x)[/tex]
In
[tex]P: (-2,4)[/tex]
[tex]x = -2[/tex]
[tex]y = 4[/tex]
Hence:
[tex]P':(-y,x)[/tex]
[tex]P' : (-4,-2)[/tex]
See attachment for graph
Related Questions
2/9x + 3 > 4 5/9
what graph shows the values that satisfy the expression
Answers
Answer:
Step-by-step explanation:
In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.
Next, you solve the equation by finding x. Just don't mind the inequality symbol:
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.
I need help in MATH!!!!!!!!!!
Answers
Answer:
XZ=41
Step-by-step explanation:
I'm pretty sure all you do is add 17 to 24
7y−4(9/4y−6). simplified
Answers
Answer:
−2y+24
Step-by-step explanation:
Let's simplify step-by-step.
7y−4(9/4y−6)
Distribute:
=7y+(−4)(9/4y)+(−4)(−6)
=7y+−9y+24
Combine Like Terms:
=7y+−9y+24
=(7y+−9y)+(24)
=−2y+24
-2y+24
Pls mark brainliest
Jsjsjsjsjsjsjsjsjsjsjsjsj
Could someone help me out pls? I’m taking a test and I’d love help on this thanks <3
Answers
Answer:
AC = DE
Step-by-step explanation:
Using the graph, determine the coordinates of the roots of the parabola.
I really don't understand how to do this because I have never been taught this before. Could someone help me out?
Answers
Answer: (-6,0) and (-8,0)
!!!!!!Also it's fixed now so ignore my comment about this being wrong!!!!!!
Step-by-step explanation:
To find roots you're basically looking for the points on the graph where they touch the x axis. Those are your roots. You can also plug 0 and -0 in for x and find the coordinates that way with the equation.
Answer:
Two points.
(-8, 0) and (-6, 0)
Step-by-step explanation:
The roots of a graph are another word for the zeros of a graph. In other words, the roots or zeros of a graph are whenever the graph touches or crosses the x-axis. Another way to think about roots are that the roots of a graph are simply its x-intercepts.
From the graph, we can see that it does this twice: once at [tex]x=-8[/tex] and again at [tex]x=-6[/tex]. At both of these points, the graph crosses the x-axis.
Therefore, we will have two roots in this case: one at (-8, 0) and another one at (-6, 0).
So, our answer is two points, being: (-8, 0) and (-6, 0).
And we're done!
Edit: Grammar
Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?
sin(–60°)
cos(–60°)
cos(60°)
sin(60°)
Answers
Answer:
A. sin(-60°)
Step-by-step explanation:
test on edge
Answer of given expression is sin(-60°)
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given expression,
sin(20°)cos(80°) – cos(20°)sin(80°)
∵ sin(A-B) = sinA.cosB – cosA.sinB
∴ sin(20°-80°)
So, sin(-60°)
Learn more about Trigonometric functions
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f (x)=-x2 + 4x, solve for f(3)
Answers
Answer:
f(3) = 6
Step-by-step explanation:
F(3)=-(3)2+4(3)
f(3) = -6 + 12
f(3) = 6
Find the value of f(5) for the function.
f(a) = 5(a + 3) - 9
f(5)=(Simplify your answer.)
Answers
Answer:
f(5)=31
Step-by-step explanation:
f(5)=5(5+3)-9
=5(8)-9
=40-9
=31
Name a linear pair.
Answers
Answer:
(angle AFB, angle BFC)
Answer:
angle afc
Step-by-step explanation:
Can someone help me plz
Answers
Answer:
81 is d answer
Step-by-step explanation:
x = 9y
= > 9y + y = 90 substitution
= > y = 9
x =9y = 81 degree
Please help I've been staring at this thing for 30 minutes it says I have to match the segments with its measure I don't understand what goes where :(
Answers
Answer:
I believe AC=63, BG=28, GC=38, And AE=70. So really just like how it's listed in order. If you need further Help, please let me know!
Step-by-step explanation:
Order the values from least to greatest
|-7|
-2
|-6|
-6
10
Answers
Answer:
-6, -2, |-6|, |-7| 10
Step-by-step explanation:
Estimate the value of 13 (between which two whole number)
Answers
Answer:
C
Step-by-step explanation:
between three and four
What is the distance from. P to n, shown in the figure?
A. -3
B. 1
C. 4
D. 5
Answers
Answer:
-5
Step-by-step explanation:
y2-y1/x2-x1
0-5/4-3
-5/1
2b/3-5=3 what is the value of b
Answers
Answer:
‒3
Step-by-step explanation:
2b/3‒5=3
2b=3(3‒5)
2b=3(‒2)
2b=‒6
2b/2=‒6/2
b=‒3
you can proof as the following(by replace ‒3)
2(‒3)/3‒5=3
‒6/‒2=3
3=3
i hope it helps you
Simplify: 23x - 11x
Enter the original expression if it cannot be
simplified.
Answers
Answer:
23x-11x= 12x :)
Step-by-step explanation:
Answer: 12x
Step-by-step explanation: 23x-11x= 12x
giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds?
Answers
Answer:
84.474
Step-by-step explanation:
46.93 x 1.8 = 84.474
Answer:
The giraffe could run 84.474 feet in 1.8 seconds.
Step-by-step explanation:
cross multiply
1x= 84.474
x= 84.474 ft
The volume of a rectangular prism is the product of its length, width, and height. The length of a rectangle prism is 3 feet more than five times its height. The width is 5 feet less than six times its height. Express the length and width in terms of the height h. The length is The width is (Be sure to Write down the expanded form of the expression for the volume: expand the volume expression) (Express the interval in which the In what range must the height fall? He height must be)
Answers
The length and width in terms of the height h is 5h+3 feet and 6h-5 feet respectively, the volume will be [tex]30h^3 - 7h^2 -15h[/tex] units and the height must be in the interval of [tex][0,\infty)[/tex].
According to the question,
The height of the rectangular prism is h.
The length of the rectangular prism is 5h+3 feet
The width of the rectangular prism is 6h-5 feet
The volume of the rectangular prism can be calculated as:
[tex]Length \times width \times height = Volume[/tex]
Substitute the value of height, length and width in the formula:
[tex]V = (5h+3) \times (6h-5) \times h[/tex]
V = [tex](30 h^2 -7h-15)h[/tex]
[tex]V = 30h^3 - 7h^2 -15h[/tex]
The height is always positive. So, the interval in which the In what range must the height fall is [tex][0,\infty)[/tex].
The length and width in terms of the height h is 5h+3 feet and 6h-5 feet respectively and the volume will be [tex]30h^3 - 7h^2 -15h[/tex] units
The height must be in the interval of [tex][0,\infty)[/tex].
Learn more about rectangular prism here:
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(0,0) is a solution to y> -3x + 4
Answers
Answer:
(0,0) is a solution.
Step-by-step explanation:
To see if this is true you can put (0,0) into the [tex]y[/tex] and [tex]x[/tex] variables like so: [tex]0>-3(0)+4[/tex]. When you solve this you get [tex]0>4[/tex] so this statement is true
find the length of the angle inducated for each trapezoid.
Answers
First things first: all quadrilateral have an interior of 360⁰. With that info, you can do your exercice.
the first one:
the angle P =90⁰
the angle Q=90⁰
So you do the deduction:
360⁰-90⁰-90⁰-65⁰= 115⁰
the second one:
the angle F=60⁰
so you do the same thing as number one:
360⁰-60⁰-60⁰= 240⁰
240⁰/2= 120⁰
Voilà!
15 1/2 + 12 2/3 + 10 3/4 as a mixed number in simplest form help asap
Answers
Answer:
37 23/12
Step-by-step explanation:
First, make them all have a common denominator.(12) Then, multiply as needed. Lastly, add all three number together.
Answer:
38 11/12
Step-by-step explanation:
Turn all denominators to 12. what you do the the bottom due to the top.
A train goes at a constant speed. If it covers 150 miles in 2 1 2 hours,
What distance would it cover in 7 hours?
Answers
Answer: I think is 420 miles in 7 hours
hope this helps :D
Step-by-step explanation:
Answer:
A train would cover 180 miles in 3 hours, So in 6 hours it will cover 360 miles, in 7 hours it will cover 420 miles.
Step-by-step explanation:
150 miles → 2 1/2 hours = 150 minutes
x miles → 3 hours = 180 minutes
(150 × 180) ÷ 150 = x miles
27,000 ÷ 150 = x miles
180 = x miles
Solve
6x + 5 = 3x + 14
Answers
Answer:
x = 3
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
6x + 5 − 3x = 3x + 14 − 3x
3x + 5 = 14
Step 2: Subtract 5 from both sides.
3x + 5 − 5 = 14 − 5
3x = 9
Step 3: Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{9}{3}[/tex]
x = 3
Hope it helps!!
The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
6x + 5 = 3x + 14
Simplify the equation, then we have
6x + 5 = 3x + 14
6x - 3x = 14 - 5
3x = 9
x = 3
The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.
More about the solution of the equation link is given below.
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Which equation represents the line that passes through points B and C on the graph?
On a coordinate plane, point A is at (1, 4), point B is at (negative 4, 2), point C is at (negative 2, negative 2) and point D is at (5, negative 4).
y = negative 2 x minus 6
y = negative 2 x + 10
y = 2 x minus 6
y = 2 x + 10
Answers
Answer:
The answer is A y = -2 x - 6
Step-by-step explanation:
I got this question right on the test I took. Hope this help!
Answer:
a
Step-by-step explanation:
i got it right on edg 2020
Which of the following is 7/18 closest to?
-0
-1/2
-1
Answers
Answer:
I guess -1/2?
Step-by-step explanation:
Answer: 0
0 is closest to 7/18 on a number line. -1 is 1 farther than zero. -1/2 is one half way from the number 7/18. So, the answer to the question is 0.
Hope this helps!
The temperature of a liquid is changing by -4.32 degrees celsius per minute. What will be the temperature change, in degrees Celsius over a period of 6.5 minutes?
Answers
Answer:
-28.08 degrees celsius
HELP!!
Are triangles ABC and ALM congruent
A. Yes by AA
B. Yes by SSS
C. Yes by SAS
D. They are not similar
Answers
Answer:C
Step-by-step explanation:
Is -12 divided by -5 a rational number or irrational
Answers
Answer:
Rational
Step-by-step explanation:
Hope this helps!!
a sqaure tile has a width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
Answers
Answer:
16- this question is already here from other people! :-)
Step-by-step explanation:
What is the slope of the line? (Picture)