Answer:
3rd option
Step-by-step explanation:
Under a rotation about the origin of 270°
a point (x, y ) → (y, - x ) , then
A (- 3, 4 ) → (4, - 3 )
B (4, - 5 ) → (- 5, - 4 )
C (1, 6 ) → (6, - 1 )
The center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).
What is coordinate plane?The coordinate plane is a two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.
The given information suggests that each point has been rotated 90 degrees counterclockwise around some point (h, k) on the coordinate plane.
To find this point, we can use the fact that the midpoint of the line segment joining each point to its image must be the center of rotation.
Midpoint of segment AA'/4: ((-3 + 4)/2, (4 + 3)/2) = (1/2, 7/2)
Midpoint of segment BB'/5: ((4 - 5)/2, (-5 - 4)/2) = (-1/2, -9/2)
Midpoint of segment CC'/6: ((1 + 6)/2, (6 - 1)/2) = (7/2, 5/2)
Thus, the center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).
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Kim needs 10 cups of apple juice for a recipe. How many quarts does she need?
She will need 2.5 quarts.
Kim will need 2.5 quarts.
How to find the quarts she needs?
Given = 10 cups quarter
From the given data = 10/4
⇒ 2.5
The answer is 2.5 quarts.
What does 1 quart equal to in cups?
There are 4 cups in 1 quart. There are 8 cups in 2 quarts. There are 16 cups in 4 quarts.
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Find the slope of the line whose equation is 2x + y = 5.
Answer:
Slope is -2x
Step-by-step explanation:
2x + y =5
2x-2x +y= 5 -2x
y= 5 -2x
so y= -2x+5
and the slope is -2x so the answer is -2x
If 5 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline 5, what is the value of x? â€"3 â€"2 2 3.
The value of x is 3.
Given that,
If [tex]5 + 20 \times 2^{2-3x}[/tex],
And Baseline = [tex]10 \times 2^{-2x}+5[/tex]
We have to find,
The value of x?
According to the question,
To determine the value of x in the equation following all the steps given below.
Equation; [tex]\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5[/tex]
Step1; Subtract 5 from both sides,[tex]\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}[/tex]
Step2; Divided by 10 on both sides,[tex]\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}[/tex]
Step3; Rewrite the term into their power form and add the powers,[tex]\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\[/tex]
Step4; The base is the same on both sides, we equate exponents,[tex]\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3[/tex]
Hence, The required value of x is 3.
For more details about the Exponent refer to the link given below.
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winch one is biger
4/9 0r 1/12
Answer:
4/9
Step-by-step explanation:
I did the butterfly method to see which one is the bigger one
Answer:
4/9
Step-by-step explanation:
If ALMN = AXYZ, which congruences are true by CPCTC? Check all that
apply.
Answer:
A C E
Step-by-step explanation:
these triangles can be mapped onto eachother. its basically asking which parts of the triangle would line up with eachother.
The required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.
What is CPCTC?CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." It is a theorem in geometry that states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.
More formally, if two triangles are congruent, then the three pairs of corresponding sides are congruent, and the three pairs of corresponding angles are congruent.
Here,
Since the triangle LMN ≅ triangle XYZ,
By CPCTC, we can say that,
∠L ≅ ∠X
∠N≅ ∠Z
∠M ≅ ∠Y
ML ≅ XY
MN ≅ YZ
LN ≅ XZ
Thus, the required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.
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PLEASE HELP ME!!! I"L GIVE BRAINLEST
3m + 3
m = -7
-12
-18
-16
24
Answer:
m = [tex]\frac{-421}{6}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
x
Step 1: Simplify both sides of the equation.
3m+3m=−7−12−18−(16)x(24)
3m+3m=−7+−12+−18+(−384)
(3m+3m)=(−7+−12+−18+(−384))(Combine Like Terms)
6m=−421
6m=−421
Step 2: Divide both sides by 6.
[tex]\frac{6m}{6} =\frac{-421}{6}[/tex]
m = [tex]\frac{-421}{6}[/tex]
I really hope this help's :)Brainliestttytttttdd
Answer: Answer C
Step-by-step explanation:
Only y=x-2 passes through both points as it starts pretty low and rises to the right through both points B and C
The answer is A. y= -2x + 1
I’ll give you a lot of points for this
Answer:
2. (3,4)
Step-by-step explanation:
Plz help me answer this. Find the area plz ASAP
Answer:
42 square centimeters
I think that is the right answer
sorry if it is wrong
Answer:
7×6= 42 square centimeters
Can y’all help me plz.
Answer:
No. two inputs cannot have the same output
Step-by-step explanation:
This is not a function because -2 and 2 have the same output which is 4
HOPE THIS HELPS :)
what is 25 divided by 4(bonus question)
Answer:
6.25
Step-by-step explanation:
a) Write an equation for the line of best fit.
Y=-0.007x+13.713
5. The data below shows the population of a city,
In millions of people, since 1950.
Year Population
1950 1.75
1960 1.68
1970
1.52
1980
1.16
TO
b) Estimate the population of the city in 2020.
1990
1.04
2000
0.98
Answer
Step-by-step explanation:
In millions of people, since 1950
The perimeter of a triangle is 42 centimeters. The longest side is 2 centimeters less than 3 times the shortest side and the pother side is 2 centimeters more than twice the shortest side. Find the length of each side.
Answer:
7 cm, 16 cm, 19 cm
Step-by-step explanation:
Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.
P = s + (3s -2) +(2s +2)
42 = 6s . . . . . simplify, use the given value of perimeter
7 = s . . . . . . . divide by 6
2s+2 = 16
3s -2 = 19
The side lengths are 7 cm, 16 cm, and 19 cm.
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answer:
Inverse Property of Multiplication
Step-by-step explanation:
Inverse Property of Multiplication is when you do inverse operations to get rid of a multiplied number (if that makes any sense). to solve 8x = 80 you do the inverse of multiplying by 8 (divide both sides of the equal sign by 8) to get x=10.
Find x. Round your answer to the nearest tenth of a degree.
Answer:
42°
Step-by-step explanation:
8 is the opposite
12 is the hypotenuse
We know from SOHCAHTOA to use sine
Since we are looking for the angle, we use sin^-1
sin^-1(opposite/hypotenuse)=x
sin^-1(8/12)=x
Input into calculator
x=42°
Step-by-step explanation:
we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the the side and related angle are always opposite to each other.
so,
12/sin(90) = 8/sin(x)
12/1 = 8/sin(x)
12 = 8/sin(x)
3 = 2/sin(x)
sin(x) = 2/3
x = 41.8103149...° ≈ 41.8°
PLEASE HELP MEH!!!!!!!!!!!!!
Answer:
A) 15+ (-13) + (-2) = 0
Step-by-step explanation:
we start off with 15 cupcakes in total. Our number of cupcakes decreases when we give 13 to our friends. 15-13=2 so we have 2 cupcakes left. If we then give the remaining 2 cupcakes to our teachers, then we are left with 0 cupcakes.
The way to express this as an equation is 15 - 13 - 2 = 0 , which is equivalent to 15+(-13)+(-2)=0
Answer:
The first option.
Step-by-step explanation:
She originally has 15 cupcakes, if she gives 13 away to her friends and 2 away to her teacher then she would end up with 0, which rules out two options, but the second down would be someone giving her cupcakes, due to the addition symbol, so it's the first option.
Hope this helps and have a good day!:)
#3: Classify the number below. Select all that apply.
-8
A. Real Number
B. Irrational
C. Rational
D. Integer
E. Whole
F. Natural
how to find vertical asymptotes and horizontal asymptotes
Answer:
Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.
Step-by-step explanation: Correct me if i'm wrong lol.
Cameron ran 5 miles less than Kyle last week. Cameron ran 9 miles. Which equation will tell you how many miles Kyle ran?
A)
+ 5-9
B)
X-5 - 9
o
X+ 5-49
D)
X-5=-9
D. it is d because I said so >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:(
what is the probability of flipping 3 coins on the same side that is getting either all heads or all tails? write the exact decimal answer withput rounding
The table below shows the number of minutes a household phone is used daily based on the number of household members.
Which equation best models this set of data?
A. P = -20.2x^2 - 1.3
B. P= -20.2x - 1.3
C. P= 20.2X^2 + 1.3
D. P= 20.2x + 1.3
I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D
Find the value of √1600×8²+√4225
Step-by-step explanation:
√1600×8²+√4225
40 x 64 + 65
= 2625
Equation of the line that passes through (-6,-5) and (-3,0)
Answer:
y=(5/3)x + 5
Step-by-step explanation:
Every line is in the form: y = ax+b. If some points are on this line, they satisfy this equation. So we can write:
-5 = a(-6) + b
0 = a(-3) + b
It's a system of equations. We can solve them by subtracting the second equation from the first:
-5-0 = -6a - (-3a) + b - b
That becomes:
-5 = -3a
Therefore:
a = 5/3
Now we plug this value in the second equation of the system, and find the value of b:
0 = 5/3*(-3) +b
b=5
The final line equation will be: y=(5/3)x + 5
y = [tex]\frac{5}{3}[/tex]x + 5
Explanation:First, find the slope. The formula to find slope can be defined as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
Given points (-6, -5) and (-3, 0), we can substitute those values in and find that the slope for this line will be [tex]\frac{5}{3}[/tex].
Using slope-intercept form, our equation so far is y = [tex]\frac{5}{3}[/tex]x + b. To find b, we substitute the coordinates of any point and solve. Doing so gets us a value of 5 for b.
Therefore, our final answer is y = [tex]\frac{5}{3}[/tex]x + 5.
PLS HELPPPPPPPPPPPPPPPPPPPPPPP
HELP!! Select the values for the domain and range of the functions graphed below.
Answer:
Graph 1
Domain = -8 =< x =< 10
Range = -9 =< f(x) =< 9
Graph 2
Domain = -1 =< x =< 5
Range = -1 =< f(x) =< 2
Explaination:
Domain means the inputed x values on the x-axis, so to make things simpler and to not write every individual x values. We write it with <, >, and =<. (you can see it as the 'width' of a graph).
Range means the output y values on the y-axis. It's like the 'height' of a graph. And also, to make things simpler and to not write every individual y values. We write it with <, >, and =< with f(x) too because f(x) = y.
Can someone plz help me? :(
Answer:
The answer is A
Step-by-step explanation:
Both equal 48
7/18÷14/9 don't mind this I need 20 characters
Answer:
0.25
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
in the united states 16 out of every 20 cans are recycled what percent of cans are recycled
Answer:
80%
Step-by-step explanation:
First, you multiply 20 by 5, which gives you 100. Then multiply 16 by 5, which is 80. 80 out of 100 is 80%
Answer:80%
Step-by-step explanation:16/20=0.8 Knowing this the answer will be 80% of cans are recycled in this equation
Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.
Answer:
Ive alredy answered your quesiton but what ever
20%
43*0.8=34.4
Hope This Helps!!!
triangle: 3x-1,4x+1,3x
perimeter:70cm
area:A2
find A
Answer:
A = 210 cm²
Step-by-step explanation:
Perimeter of the triangle = the sum of the sides of the triangle.
70 = (3x - 1) + (4x + 1) + (3x)
70 = 10x
7 = x The length of the sides of the triangle are 3x - 1 = 20; 4x + 1 = 29 and
3x = 21.
Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.
Trying a² + b² = c² to see if it is a right triangle. 20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21. The longest side is the hypotenuse in a right triangle
A = 1/2bh
A = 1/2 (20)(21)
A = 10 · 21
A = 210 cm²