The coordinates of A, B, and C after a translation to the right by 4 units and up 1 unit will be A'(-2, 6), B'(7, 3), and C'(4, 0).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself, and it maintains some spatial correlation between figures.
Here are some points. Three points labeled, A, B, and C, plotted on a coordinate grid with the origin labeled “O”.
Point A is located at (-6, 5).
Point B is located at (3, 2).
Point C is located at (0, -1).
Then the coordinates of A, B, and C after a translation to the right by 4 units and up 1 unit will be given as
Point A: (-6 + 4, 5 + 1) ⇒ (-2, 6)
Point B: (3 + 4, 2 + 1) ⇒ (7, 3)
Point C: (0 + 4, -1 + 1) ⇒ (4, 0)
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Convert the following angle from degrees to radians. Express your answer in simplest form. 690∘
23π / 6 radians is equivalent to the 690-degrees.
To convert degrees to radians, we use the formula:
radians = degrees × π / 180
Therefore, for 690 degrees:
radians = 690 × π / 180
Simplifying this expression:
radians = 23π / 6
Therefore, 690 degrees is equivalent to 23π / 6 radians.
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The midpoint of AB is M(-6, -6). If the coordinates of A are (-4-8), what are
the coordinates of B?
Answer:
The coordinates of B are (-8,-4)
Step-by-step explanation:
Midpoint of a segment
Given points A(xa,ya) and B(xb,yb), the coordinates of the midpoint M can be found knowing that:
[tex]\overline{AM}=\overline{MB}[/tex]
Applying that relation in both axes separately, we can write:
[tex]x_A-x_M=x_M-x_B[/tex]
[tex]y_A-y_M=y_M-y_B[/tex]
Knowing the coordinates of the midpoint and A, we can find the coordinates of the other extreme B solving both equations for the required variable:
[tex]x_B=2x_M-x_A[/tex]
[tex]y_B=2y_M-y_A[/tex]
Plugging in the known values:
[tex]x_B=2(-6)-(-4)=-12+4=-8[/tex]
[tex]y_B=2(-6)-(-8)=-12+8=-4[/tex]
The coordinates of B are (-8,-4)
Alex and Dee are 28 mi. apart. They are paddling towards each other. Alex paddles at 4mph and Dee paddles at 3mph. How long will it take them to meet?
Answer: 4 hours
Step-by-step explanation: Add up 4 + 3 and then divide that number into 28.
28/7 = 4
Solve for m in terms of Fand a.
F = ma
m =
m in terms of F and a:
m= F/a
1) If 2x + 3y = 12 and xy = 6, find the value of 4x2 +9y2.
Answer:
72
Step-by-step explanation:
Given that 2x + 3y = 12 , then
(2x + 3y)² = 12² = 144 ← distribute left side using FOIL
4x² + 12xy + 9y² = 144 ( subtract 12xy from both sides )
4x² + 9y² = 144 - 12xy = 144 - 12(6) = 144 - 72 = 72
What number does the hour hand (the short arm) point to when it is
rotated 150 degrees clockwise? *
20 points
6
7
8
9
The students at Woodward elementary voted for school mascot. The falcon won with 5/8 of the votes. If 536 students voted for a mascot, how many students voted for the falcon?
Two angles are given as complementary. The larger angle is twice the measure of the smaller angle. What is the measure of the smaller angle?
Answer:
Complentary = angle add up to 90 degrees
let smaller angle = x
x+2x=90
3x=90
x=30
-----
30 is the measure of the smaller angle.
forty five thousand six and seventy seven hundredths in number form!!!!!!! neeeeeed help pleaseeeeeeeeeeeeee
Answer:
as in a decimal? or a regular number?
Step-by-step explanation:
456.70 i think
help help help help
Answer:
C
Step-by-step explanation:
Q: 1/5 + 5/6 = 6/11?
Convert fractions to have a common denominator
6/30 + 25/30 = 31/30
31/30 = 6/11?
No
31/30 is closer to 1
Which of the following is a rational number? (5 points)
square root of 22, square root of 23, square root of 24, square root of 25 Which of the following is a rational number? (5 points)
Answer:
square root of 25
Step-by-step explanation:
Answer:
Square foot of 25
Step-by-step explanation:
I took the test and got it right!
Need help soon please and that’s question 6
Answer:
16
Step-by-step explanation:
H = (-16) × (1-2)2 + 64
=(-16) × (1-4) + 64
=(-16) × 3 + 64
=(-48) + 64
=16
( Will give Brainliest) Please Helpp
Solve the equation and determine that this equation has one/no/infinitely many solutions.
3x -1= 1-3x
Answer:
x = 1/3
There is one solution
Step-by-step explanation:
3x -1= 1-3x
Add 3x to each side
3x+3x -1= 1-3x+3x
6x-1 =1
Add 1 to each ide
6x-1+1 = 1+1
6x =2
Divide each side by 6
6x/6 = 2/6
x = 1/3
There is one solution
Answer:
x = [tex]\frac{1}{3}[/tex] One solution
Step-by-step explanation:
3x - 1 = 1 - 3x
Add 1 to both sides;
3x = 2 - 3x
Add 3x to both sides;
6x = 2
Divide both sides by 6;
x = [tex]\frac{2}{6}= \frac{1}{3}[/tex]
One solution
Jenny writes 85 pages in 5 hours.
How long will it take her to write 408 pages? Show work.
Answer:
24
Step-by-step explanation:
Divide the amount of time (5) by the amount being made (85)
Then Multiply it by the new number and pages made (408)
It comes out to be 24
Which of the following is a solution of the equation 9 - 2x = -1?
(A) -5
(B) 5
(C) 4
(D) -4
Answer: B) X = 5
Step-by-step explanation:
You need to get x by itself to find the solution, that means adding/subtracting anything around it first which is 9.
your new equation would be -2x = -10
to get x completely alone, divide it by -2 and divide the other side, it makes x = 1 which is how to solve for it, when you divide -10 by it you get the answer of x = (B) 5
Evaluate the following expression x^2 - 4x + 2 when x = -2
Answer:
-2
Step-by-step explanation:
sub x = -2 into X^2 - 4 x + 2
-2^2 - 4(2) + 2
= 4 - 8 + 2
= -4 + 2
= -2
Answer:
14
Step-by-step explanation:
Well since we know that x= -2 we can plug it into the equation
-2^2-4*-2+2
Now we can solve
-2^2 - 4*2+2
= 14
Ten more than 6 times a number is 4 less than 4 times the number.
Answer: X = -7
Step-by-step explanation:
the number is represented as X
6x + 10 = 4x - 4
solve your equation by subtracting 10 on both sides to make -4 -14
6x = 4x - 14
subtract 4x on both sides to get 2x
2x = -14
divide -14 by 2x
x = -7
Check it by plugging it in the equation
-42 + 10 = -28 - 4
-32 = -32
Answer:
-7
From:iOE Your friend*Be awesome Be you* :D :)The green shaded region does not represent the
solution to the system of linear inequalities given
below. Explain why not.
y²2
35x+2y= 20
Answer:
Step-by-step explanation:
Region represented by the inequality y ≥ 2 will be the area above the dark line y = 2.
Equation of the other line is,
3.5x + 2y ≤ 20
2y ≤ 20 - 3.5x
y ≤ -1.75x + 20
Shaded region representing the solution of the inequality will be below the solid line y ≤ -1.75x + 20.
Therefore, solution of the system of inequalities will be the common region of both the colors in the graph attached.
Graph of the question will not represent the solution of the system of inequalities.
Answer:
The blue line should be solid because the inequality has “or equal to.” The green shading should be on the other side of the blue line. The blue line should be part of the solution set.
Step-by-step explanation:
this is the sample answer you will get it right
Kelly runs a distance of 100 metres in a time of 10.52 seconds.
The distance of 100 metres was measured to the nearest metre.
The time of 10.52 seconds was measured to the nearest hundredth of a second.
Write down the upper bound for the distance of 100 metres.
Answer:
Upper bound for distance = 100.49. This is the highest number that you can round up to get 10.52.
Lower bound for time = 10.515 seconds. This is the lowest number that you can round up to get 10.52.
Upper bound for average speed = Upper bound for distance divided by upper bound for time.
100.49/10.5249 = 9.548 seconds.
Lower bound for average speed = Lower bound for distance divided by lower bound for time.
99.5 / 10.515 = 9.463 seconds.
Step-by-step explanation:
Hope this helps you out.
The upper bound for the distance of 100 metres is 100.4 meters.
What is meant by rounding off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
Given:
Kelly runs a distance of 100 metres in a time of 10.52 seconds.
The upper bound represents the highest number, to which round off can be done to the nearest unit.
We have distance of 100 metres
So, the upper bound for the distance is 100.4 meters.
Hence, the upper bound for the distance is 100.4 meters.
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I need help on this plsss:)
Answer:
x=6.5
Step-by-step explanation:
5+1=6
39 divided by 6 equals 6.5.
Could I please have BRAINLIEST.
If n = 4, all of the following expressions are equivalent except _____.
16
n -2
1/16
1/n^2
Answer:
Its 16
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
n -2 is 1/16
1/16
1/n^2 is 1/16
What will be the coordinates of point N after a 270° counterclockwise rotation about the origin?
Answer:
N(-4, 1)
Step-by-step explanation:
Counterclockwise means anti clockwise.
Now, when rotated by 90° about the origin, the point N will be in the second quadrant starting clockwise from the 0 - 90° quadrant
When it's rotated counterclockwise by another 90°, it will be at the first quadrant starting clockwise from the 0 - 90° quadrant
When it's rotated another 90°, it will be located in the 4th quadrant starting clockwise from the 0 - 90° quadrant.
Thus, after 270° N will be in the 4th quadrant starting clockwise from the 0 - 90° quadrant.
Therefore, the coordinates of N at that point will be;
On x - axis: -4 units
On y - axis: 1 unit
Thus coordinates are;
N(-4, 1)
F(x)=-x²+9x given the function below, find f(7)
Answer:
f(7)=112
Step-by-step explanation:
f(7)=[tex]-x^{2}[/tex]+9x
f(7)=[tex]-7^{2}[/tex]+9(7)
f(7)=49+63
f(7)=112
Help me out please! Thanks
Answer:
c 25
Step-by-step explanation:
The exponents cancel out and leaves you with 5 × 5. which is 25
Forty-five is six more than three times a number.
Answer:
13
Step-by-step explanation:
45 - 6 = 39/3 = 13
Answer:
Forty-five is six more than three times 13.
Step-by-step explanation:
First, you have to set up the equation. We know 45 equals three times a number, 3x, plus 6.
45 = 3x + 6
Subtract 6 from both sides.
39 = 3x
Divide by 3 to isolate the x, and you get 13. Hope that helps!
how much is 36 pages in 4 hours in ratios
Answer:
9/1
Step-by-step explanation:
Using the table below showing median income by year, how many years did it take for the annual household income to double from its value in 1982?
Year 2012 2010 2008 2006 2004
2002 2000 1998 1996
1994 1992 1990
Median Income $48,291 $46,658 $47,624 $45,618 $41,952 $40,125 $39,772 $36,802 $33,447 $30,247 $28,424 $27,522
Year 1988 1986 1984 1982 1980 1978 1976 1974
1972
Median Income $24.772 $22,482 $20,196 $18,347 $15,944 $13,098 $10,947 $9,554 $8,198
1970
$7,368
1968
$6,421
Answer:
2006
Step-by-step explanation:
Trust
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Based on the advertised sales, at which store will Zachary get the lowest price on 4 tires?
Answer:
It is V
Step-by-step explanation:
v= 468 and that is the lowest.
WILL RATE 5 STAR AND GIVE BRAINLIEST TO FIRST RIGHT ANSWER
solve the formula for the variable h
f=10gh
Answer:
f=10gh
making h the subject of the formula, we have;
h=f/10g
PLZ HELP!
Find the slope of the line that passes through (8,4) and (5, 3).
Answer:
The answer is
[tex] \frac{1}{3} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(8,4) and (5, 3).
The slope is
[tex]m = \frac{3 - 4}{5 - 8} = \frac{ - 1}{ - 3} = \frac{1}{3} \\ [/tex]
We have the final answer as
[tex] \frac{1}{3} \\ [/tex]
Hope this helps you
Step-by-step explanation:
Hey there!
Here;
The given coordinates are(8,4) and (5,3).
Use slope formulae.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{3 - 4}{5 - 8} [/tex]
Simplify it to get answer.
[tex]m = \frac{ - 1}{-3} [/tex]
Therefore the slope is, 1/3.
Hope it helps....