Answer:
$3
Step-by-step explanation:
25 times 3=75
GIVING BRAINLIEST TO WHOEVER ANSWERS FIRST!!!
Based on the graph below, which sequence of transformations is needed to carry ABCD onto its image A'B'CD?
Answer:
The third is correct.
Step-by-step explanation:
Preimage: A(2,3), B(5,6), C(8,6), D(8,3)
Image: A'(-2, 6); B'(-5,3); C'(-8,3); D'(-8,6)
Option 3.
Translation Rotation 180° Clockwise
(x, y-9) (-x,-y)
A(2,3) (2,-6) A' (-2,-6)
B(5,6) (5,-3) B' (-5,3)
C(8,6) (8,-3) C' (-8,3)
D(8,3) (8,-6) D' (-8,6)
Transformation involves changing the position of a shape.
The sequence of transformation is: (d) A translation rule by [tex]\mathbf{(x,y) \to (x, y - 9)}[/tex] and then a 180 degrees clockwise rotation about the origin
The coordinates of the pre-image is:
[tex]\mathbf{A = (2,3)}[/tex]
[tex]\mathbf{B = (5,6)}[/tex]
[tex]\mathbf{C = (8,6)}[/tex]
[tex]\mathbf{D = (8,3)}[/tex]
Of the given sequence of transformations, option (d) is correct.
The proof is as follows.
First, translate ABCD by (x, y - 9)
So, we have:
[tex]\mathbf{(x,y) \to (x, y - 9)}[/tex]
[tex]\mathbf{(2,3) \to (2, -6)}[/tex]
[tex]\mathbf{(5,6) \to (5, -3)}[/tex]
[tex]\mathbf{(8,6) \to (8, -3)}[/tex]
[tex]\mathbf{(8,3) \to (8, -6)}[/tex]
Next, rotate by 180 degrees.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (-x,-y)}[/tex]
So, we have:
[tex]\mathbf{(2,-6) \to (-2,6)}[/tex]
[tex]\mathbf{(5,-3) \to (-5,3)}[/tex]
[tex]\mathbf{(8,-3) \to (-8,3)}[/tex]
[tex]\mathbf{(8,-6) \to (-8,6)}[/tex]
From the graph, the coordinates of the image are:
[tex]\mathbf{A" = (-2, 6)}[/tex]
[tex]\mathbf{ B" = (-5,3)}[/tex]
[tex]\mathbf{C" = (-8,3)}[/tex]
[tex]\mathbf{D" = (-8,6)}[/tex]
Hence, the sequence of transformation is:
(d) A translation rule by [tex]\mathbf{(x,y) \to (x, y - 9)}[/tex] and then a 180 degrees clockwise rotation about the origin
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Jerrod found the hypotenuse of a right triangle with legs 3 ft and 1 ft. Is his answer correct?
c2 = 32 + 12
c2 = 9 + 1
c2 = 8
c = 8
No, he setup the Pythagorean theorem incorrectly.
No, he made an error finding the square root.
No, he subtracted 1 and 9 instead of adding.
Yes, he correctly calculated the length of the hypotenuse
Answer:
The answer is no he is not correct, here's why.
C) No, he subtracted 1 and 9 instead of adding.
Step-by-step explanation:
Jerrod has found the hypotenuse, with the legs of 3 ft and 1 ft, his process is:
[tex]c^{2}[/tex] = 32 + 12
[tex]c^{2}[/tex] = 9 + 1
[tex]c^{2}[/tex] = 8
c = 8
The legs Jerrod said are 3 ft and 1 ft
so A and B of the formula of pythagorean theorem could be:
[tex]a^{2}[/tex] = (3)[tex].^{2}[/tex]
[tex]b^{2}[/tex] = (1)[tex].^{2}[/tex]
This leads us to:
[tex]3^{2} + 1^{2} = c^{2}[/tex]
which is:
9 + 1 = [tex]c^{2}[/tex]
10 = [tex]c^{2}[/tex]
In this case, Jerrod had calculated wrong by instead of adding he had subtracted.
(I don't know where he got 32 + 12, but other than that his process is correct other than calculation error)
The correct statement for given situation is,
⇒ No, Jerrod made an error to finding the square root.
What is mean by Triangle?Any triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Jerrod found the hypotenuse of a right triangle with legs 3 ft and 1 ft.
With steps are,
⇒ c² = 3² + 1²
⇒ c² = 9 + 1
⇒ c² = 8
⇒ c = 8
Now,
We have the steps are,
⇒ c² = 3² + 1²
⇒ c² = 9 + 1
⇒ c² = 8
⇒ c = 8
Clearly, In fourth step we get;
If c² = 8
Then, c = √ 8
But here we have;
⇒ c² = 8
⇒ c = 8
Hence, He made an error finding the square root.
Therefore, The correct statement for given situation is,
⇒ No, Jerrod made an error to finding the square root.
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Write the converse of this statement.
If two angles are both obtuse, the two angles are equal.
Answer:
If two angles are equal, then they are congruent.
Step-by-step explanation:
The regular price of a Space Invader game is $30, but it is on sale. The discount is $15. What percent discount is this?
Answer:
50%
Step-by-step explanation:
15=30x
x=0.5
x=50%
Answer:
50% Discount
Step-by-step explanation:
So look to get the discount do the math like this:
30 rupees discount is 15 rupees
∴1 rupees discount is 15/30 rupees
∴ 100 rupees discount is 0.2×100 rupees
⇒50 Rupees
∴The Discount is 50%(Ans:)
Given m||n, find the value of x.
Casey bought a 15.4 pound turkey and an 11.6 pound ham for Thanksgiving and paid $38.51.
Her friend Jane bought a 10.2 pound turkey and a 7.3 pound ham from the same store and paid
$24.84. Find the cost per pound of turkey and the cost per pound of ham.
Answer:
h = 1.74
t = 1.19
Step-by-step explanation:
15.4t + 11.6h = 38.51
10.2t + 7.3h = 24.84
15.4•t + 11.6•h = 38.51
10.2•t + 7.3•h = 24.84
11.6h+15.4t = 38.51
7.3h+10.2t = 24.84
h = 87
50
= 1.74
t = 119
100
= 1.19
The revenue for a company producing widgets is given by y = -20x2 - 50x + 200, where x is the price in dollars for each widget. The cost for the production is given by y = 30x - 10. Determine the price that will allow the production of widget to break even.
Answer:
The price is x = $2.779
Step-by-step explanation:
From the question we are told that
The revenue is [tex]y = - 20x^2 - 50 x + 200[/tex]
The cost of production is [tex]y = 30 x - 10[/tex]
Generally at break even point the cost of production is equal to the revenue
So
[tex]-20x^2 -50x + 200 = 30x-10[/tex]
=> [tex]20x^2 +20 -210 = 0[/tex]
Using the quadratic formula to solve this equation we have that
x = $2.779
Answer:
1.81 per widget
Step-by-step explanation:
If you put in the equations in Desmos, you can see where is breaks even
Which equation is the slope-intercept form of the equation of the line that passes through (1, 2) and is parallel to 4x - 2y = 6?
Answer:
The equation of the parallel line is y = 2x
Step-by-step explanation:
The slope-intercept form of the linear equation is:
y = m x + b, where
m is the slope of the line b is the y-intercept (value y at x = 0)Parallel lines have the same slopes and different y-intercepts
∵ The equation of the given line is 4x - 2y = 6
→ To find the slope of this line re-arrange it to be in the
slope-intercept form Subtract 4x from both sides to move x to
the right side
∵ 4x - 4x - 2y = 6 - 4x
∴ -2y = 6 - 4x
→ Divide both sides by -2 to make the coefficient of y = 1
∵ [tex]\frac{-2y}{-2}=\frac{6}{-2}-\frac{4x}{-2}[/tex]
∴ y = -3 - (-2x)
∴ y = -3 + 2x
→ Swithch -3 and 2x
∴ y = 2x - 3
→ Compare it by the form of the equation above to find m
∴ m = 2
∴ The slope of the given line is 2
∵ The two lines are parallel
∴ The slope of the parallel line is 2
→ Substitute it in the form of the equation above
∴ y = 2x + b
→ To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The line passes through the point (1, 2)
∴ x = 1 and y = 2
∵ 2 = 2(1) + b
∴ 2 = 2 + b
→ Subtract 2 from both sides to find b
∴ 2 - 2 = 2 - 2 + b
∴ 0 = b
∴ y = 2x
The equation of the parallel line is y = 2x
HELP ASAP!!!!!!!! Select the correct answer from each drop-down menu.
The graph of the function y= x^2(x^2 - 6x + 9) has zeros of (0 and -3, -3 and 3, 0 and 3, -3 and 3)
complex zeros.
so the function has (no, two, three, four)
distinct real zeros and (no, two, three, four) complex zeros.
Answer: The answer is
1. 0 and 3
2. Two
3. No
Step-by-step explanation:
I took the test and it's right
The graph of the function has zeros of 0 and 3, two distinct real zeros, and no complex zeros.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm y= x^2(x^2 - 6x + 9)[/tex]
We can write it as a:
[tex]\rm y= x^2(x^2 - 2(3)(x)+ 3^2)[/tex]
[tex]\rm y = x^2(x-3)^2[/tex]
To find the zeros equate to the function with the zero.
y = 0
[tex]\rm x^2(x-3)^2=0[/tex]
First, take [tex]\rm x^2= 0[/tex] we get:
x = 0
Now
[tex]\rm (x-3)^2=0[/tex]
x - 3 = 0
x = 3
Thus, the graph of the function has zeros of 0 and 3, two distinct real zeros, and no complex zeros.
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The original price of a handbag was $84. Carole bought it on sale for $21 off
Answer:
She got 25% off. She paid $63.
Step-by-step explanation:
need help solving matrices answer ASAP
Step-by-step explanation:
Distribute the 6 to the first matrix and add the result of the first matrix to the second matrix
A model of the Empire State building is 8 inches high. If the actual Empire State building is 1,200 feet tall, what is the scale factor between the model and the actual building?"
Answer:
Every inch is represents 150 feet
Carlos drives 161 kilometers at a speed of 70 kilometers per hour. For how many hours does he drive?
Answer:
2.3 hours
Step-by-step explanation:
161 divided by 70 = 2.3
if Carlos drives 161 kilometers at a speed of 70 kilometers per hour then it takes 2.3 hours to drive.
What is Speed?Speed is the time rate at which an object is moving along a path,
Given,
Carlos drives 161 kilometers at a speed of 70 kilometers per hour
From the given data distance=161 kilometers
Distance is one hundred sixty one kilometers
Speed=70km/hr.
Speed is seventy kilometer per hour.
Speed=Distance/time
70=161/time
Now cross multiply
time=161/70
Time=2.3hrs
Hence, if Carlos drives 161 kilometers at a speed of 70 kilometers per hour then it takes 2.3 hours to drive.
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f(n)= 2n – 2; Find f(2)
i need to fine the area and perimeter?
What is the quotient 8 x 10^24/2 x 10^ 8 in scientific notation? Please Help!?!?
Answer:
4x10^6
can you also please mark me as brainliest?
Evaluate 3√-8. Use pencil and paper. Explain how you can check that your result is correct. Show your work.
Answer:
?, the value does not exist because you can't square root a negative value.
Step-by-step explanation:
root 8 can be simplified but in this case, its negative so answer D.N.E.
= 3 x √-8
= D.N.E.
Answer:-2
-2 times -2 times -2 = -8
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sign, 7, point, 50 delivery fee and \$14$14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60$60dollar sign, 60. Each pizza is cut into 888 slices, and she wonders how many total slices she can afford. Let P represent the number of pizzas that Jacque buys. ------------------------------------------------------------------------------------ 2) What is the largest number of slices that Jacque can afford?
Answer:
3 pizzas
24 slices.
Step-by-step explanation:
Given:
Delivery fee = $7.50
Charges per pizza = $14
Total money available with Jacque = $60
Number of slices in one pizza = 8
To find:
The number of pizzas, [tex]P[/tex] that Jacque can buy and
The number of slices, that Jacque can afford.
Solution:
Cost of one pizza = $14
Cost of [tex]P[/tex] pizzas = $14 [tex]\times P[/tex]
Out of total money of $60, $7.50 will be used as delivery charge.
Therefore, money that can be used for buying pizza = $60 - $7.50 = $52.50
Now, the money available must be greater than or equal to the cost of [tex]P[/tex] pizzas:
i.e. $52.50 [tex]\geq[/tex] [tex]\$14P[/tex]
[tex]\Rightarrow P = 3[/tex]
A maximum of 3 pizzas can be bought.
Number of slices that Jacque can afford = 3 [tex]\times[/tex] 8 = 24 slices
Someone help me with this
Answer:
74 is the answer bruhh
Step-by-step explanation:
180 - 106 = 74
A bird goes from a higher location to a lower location at a
rate of 2 meters per second,
Which equation models the change in the bird's position at 30 seconds?
A. (-30)(-2) = -60
B. 30(-2) = -60
C. 30.2 = 60
D. 30(-2) = 60
Answer:
30(-2) = -60
Step-by-step explanation:
The change in speed from a higher location to a lower location is 2 m/s, v = -2 m/s (from higher to lower)
We need to find the equation that models the change in the bird's position at 30 seconds.
Distance = speed × time
change in position = (-2) × 30
= -60
Hence, the correct option is (B).
Step-by-step explanation:
Use the property to complete the statement.
1. Transitive property of Equality: If a=bc and bc=de, then...
2. Substitution Property of Equality: If x = 3c and r = 5x + 7, then..
Answer:
The answer is b and r=5x+7 is 35x
Step-by-step explanation:
the complex solutions of which equation have a real component of 4.
(I'm not sure of what this is asking.)
Answer:
A.
Step-by-step explanation:
I just did this problem and guessed correctly.
The complex solutions of which equation have a real component of 4 is x² - 8x +16 +21 = 0.
What is Complex number?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
On solving all equation the correct one is x² - 8x +16 = -21.
Using discriminant method calculating the roots
x² - 8x +16 +21 = 0
x² - 8x + 37 = 0
x= -b ± √b² -4ac / 2a
x= 8 ± √ -8² - 4*1 * (37) /2a
x= 8 ± √- 84 / 2
x= 8 ± √2² *(- 21) /2
x=( 8 ± √2² *√21 i)/2
x= 8 / 2 ± 2i√21/2
x= 4 ± √21 i
So, x = 4+ √21 i and x= 4 - √21 i
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PLZ HELP ME! 20 POINTS AND A BRAINLIEST!
Find if they are equal or not: y + 5 = 7 and 5y = 10 PLEASE SHOW STEPS!!!
Answer: They are equal
Step-by-step explanation:
Y+5=7 subtract 5 from both sides
Y=2
5Y=10 divide both sides by 5
Y=2
Write 4.5 as a mixed number and a improper fraction.
Write your answer in simplest form.
Answer: 4 1/2 and 9/2
Step-by-step explanation: 5/10 can be simplifed into 1/2 and for the improper fraction, you just turn the 4 into halves which is 8 halves
Answer:
4.5 as a mixed number is 4 1/2 and as a improper fraction it is 9/2
how many solutions does 3x-1=3 have?
Answer:
one solution
Step-by-step explanation:
3x-1=3
Add 1 to each side
3x-1+1=3+1
3x = 4
Divide by 3
3x/3 = 4/3
x = 4/3
There is one solution
Answer:
One solution
Step-by-step explanation:
3x=4
x=4/3
no other answer
One week, seventy-two percent of the animals that cam to a veterinary hospital were dogs. If there were 230 animals total, how many were dogs
Answer:
165.6
Step-by-step explanation:
165.6 is 72% of 230
20 out of 45 students attended the concert; 12 out of 25 students attended the concert
5(x-4)=7x
ik its easy just very confused
Answer:
- 10
Step-by-step explanation:
Step 1:
5 ( x - 4 ) = 7x Equation
Step 2:
5x - 20 = 7x Multiply
Step 3:
- 20 = 2x Subtract
Step 4:
x = - 20 ÷ 2 Divide
Answer:
x = - 10
Hope This Helps :)
Simplify the expression by distributing and combining like terms.
Answer:
cOULD BE
Step-by-step explanation:
Step-by-step explanation:
Distribute first: 0.3(-4x+20), multiply 0.3 by -4x and 0.3 by 20, to get -1.2x+6. Then, add -1.2x and 8.8x, which gives you 7.6x.
The final answer is 7.6x-7.
solve the system:
y = 4x - 19
y = - 3x + 23
Answer:
( 6 , 5 )
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.