Draw JKL on the coordinate plane given the above information.
translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.
Answers
Step-by-step explanation:
Hope this helps, happy learning!!!
The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form.
Depending on the scale factor, the object's size can be raised or lowered.
The translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.
F ( -1, 0)
G (1, 0)
H ( -1, 1)
Thus, counterclockwise 90°
F' ( 0, 1)
G' (0, -1)
H' ( -1, -1)
Scale factor = 2
Then
F'' ( 0, 2)
G'' (0, -2)
H'' ( -2, -2)
The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.
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Related Questions
8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is true? Select ALL that apply.
A. The slope of Function W is less than the slope of Function Z.
B. The slope of Function W is greater than the slope of Function Z.
C. The slope of Function W is equal to the slope of Function Z.
D. The y-intercept of Function W is less than the y-intercept of Function Z.
E. The y-intercept of Function W is equal to the y-intercept of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Answers
*the graph of Function W and table of values of Function Z are in the diagram attached below.
Answer:
B. The slope of Function W is greater than the slope of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Step-by-step explanation:
To determine which of the statements compare both functions correctly, let's find the slope (m) and the y-intercept (b) of each function given.
✍️Function W:
Slope of Function B, using two points on the line, (0, -1) and (2, 0):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{2 - 0} = \frac{1}{2} = 0.5 [/tex]
✅Slope = 0.5.
y-intercept is the point at which the line intercepts the y-axis. Therefore, the y-intercept, b = -1. The line cuts the y-axis at y = -1. At this point, x = 0.
✅y-intercept = -1.
✍️Function Z:
Slope of Function Z, using two pairs of values from the table of values for function Z, (0, -2) and (2, -1.5):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1.5 -(-2)}{2 - 0} = \frac{0.5}{2} = 0.25 [/tex]
✅Slope = 0.25.
y-intercept is the value of y when x = 0. It is at this point the line of the function of X intercepts the y-axis. From the table given, we can see that when x = 0, y = -2. Therefore:
✅y-intercept = -2.
Thus, the following statements that compares both functions are TRUE:
B. The slope of Function W is greater than the slope of Function Z.
✔️This is TRUE because 0.5 is greater than 0.25.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
✔️This is TRUE because -1 is greater than -2.
Answer: B and F
Step-by-step explanation:
A line passes through the point (4, -8) and has a slope of -5/4. Write an equation in slope-intercept form for this line.
Answers
Answer:
The answer is
[tex] \huge y = - \frac{5}{4} x - 3[/tex]
Step-by-step explanation:
To find an equation of a line in when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 8 = - \frac{5}{4} (x - 4) \\y + 8 = - \frac{5}{4} x + 5 \\ y = - \frac{5}{4} x + 5 - 8[/tex]
We have the final answer as
[tex]y = - \frac{5}{4} - 3 \\ [/tex]
Hope this helps you
A caterer made 4 grilled cheese sandwiches, 7 ham sandwiches, and 6 turkey sandwiches. How many sandwiches did the caterer make in all?
Answers
Answer: 17
Just add the Numbers together this is a Addition question.
7 + 6 + 4 Or However you want to do it The answer will always be 17 if u do it as 4 + 6 + 7 or however else just don't add different numbers.
May I Have brainliest?
A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT
Answers
Answer:
The inner surface area of a hemispherical bowl will be: 1923.25 cm²
Step-by-step explanation:
Given
d = 35 cm
as
[tex]r=\frac{d}{2}[/tex]
[tex]=\frac{35}{2}[/tex]
[tex]= 17.5[/tex] cm
The inner surface area of a hemispherical bowl = 2πr²
[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]
[tex]=6.28\:\times \:17.5^2[/tex]
[tex]=1923.25[/tex]
Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²
Simplify fully 4x^2+4x/2x^2-2
Answers
Answer:
Simplify the expression.
2x³ + 4x² − 2
[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast
Answers
Answer:
Step-by-step explanation:
Answer:
fourth root of 12*13^3
-------------------------------- - 2
13
Step-by-step explanation:
First focus on the 132/143 expression inside the 4th root function.
132/143 = 12/13
and so we have:
fourth root of 12/13 - 2
We must rationalize the denominator of the expression shown above. In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13. To do this, multiply that 12 by 13^3 and that 13 by 13^3:
12*13^3
fourth root of { -------------- }
13^3*13
This simplifies to:
fourth root of 12*13^3
--------------------------------
13
To obtain the final answer, subtract 2 as shown in the original problem:
fourth root of 12*13^3
-------------------------------- - 2
13
166 2/3 percent as a fraction
Answers
The fraction is 5000/3.
What is Percent?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.
Given:
166 2/3 percent as a fraction
Now, converting it into fraction
= 500/3 x 100
= 50000/3
Hence, the fraction is 5000/3
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If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed
Answers
Q7. Average of 60 numbers are 55. When 10 more numbers are included, the average of
70 numbers become 75. Find the
average of 10 numbers.
Answers
Answer:
The average of the 10 numbers is 195
Step-by-step explanation:
The average of a set of numbers is the sum of the numbers dividing by their number
Average = The sum ÷ The number∵ The average of 60 numbers is 55
∴ The average = 55
∴ The number = 60
→ Substitute them in the rule above to find the sum of the numbers
∵ 55 = The sum ÷ 60
→ Multiply each side by 60
∴ 3300 = The sum
∴ The sum of the 60 numbers = 3300
∵ 10 more numbers are included
∵ The average of 70 numbers become 75
∴ The average = 75
∴ The number = 70
→ Substitute them in the rule above to find the sum of the numbers
∵ 75 = The sum ÷ 70
→ Multiply each side by 70
∴ 5250 = The sum
∴ The sum of the 70 numbers = 5250
∵ The sum of the 10 numbers that added is the difference between
the sums of the 60 and 70 numbers
∵ The difference between the sums = 5250 - 3300
∴ The difference between the sums = 1950
→ To find the average of them divide their sum by 10
∵ The average of the 10 numbers = 1950 ÷ 10
∴ The average of the 10 numbers = 195
what is 6 1/10 plus 5 4/5 ASAP please
Answers
Answer:
11 9/10
Step-by-step explanation:
6 + 5 = 11
1/10 + 4/5
1/10 + 8/10 = 9/10
11 + 9/10 = 11 9/10
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Answer: Answer: The answer should be 11 9/10.
Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table. Number Cube Number Observed Frequency 1 18 2 16 3 24 4 26 5 16 6 20 How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3?
Answers
Answer:
A
Step-by-step explanation:
I just took this on edge
6/5 divded by (-3/2)
Answers
Answer:
Step-by-step explanation:
6/5 ÷ -3/2 = 6/5 x -2/3
-12/15 = - 0.08
Answer:
− 4/5 or −0.8
Step-by-step explanation:
Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4
Answers
Answer:
The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.
Step-by-step explanation:
The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.
To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:
y - (-3) = 4(x - 2)
Now, simplify:
y + 3 = 4x - 8
Next, bring all the terms to the left side of the equation to get the standard form:
4x - y = 8 - 3
Finally, simplify the constant term:
4x - y = 5.
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help 6th grade math i will give brainliest foolish answers will get reported
Answers
Answer:
The answer is B.
Can I have Brainliest?
PLZZZZZZZZ HELP WILL MARK YOU
PLZZZZZZZZZZZ
The table below shows the amounts of lime juice and sugar used in each container of limeade. The ratio of lime juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.
Lime Juice Sugar
one-fifth cup 1 cup
2 cup 10 cup
3 cup 15 cup
ANSWERS
one-fifth
4
two-thirds
5
Answers
Answer:
5
Step-by-step explanation:
For every one cup of lime juice, there is 5 cups of sugar.
Answer:
i think its one-fifth
Step-by-step explanation:
i hope my math is right
A chair cost $250 last year and $175 this year by what percent did the price decrease?
Answers
Answer:
I believe it is 50% decreased, not sure
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
in order to find the percentage of the price decrease,we must find the difference between the prices
250-175=75
the price has dropped 75$
to find the percentage, we do 75/250
which can be simplified to 3/10 or 30%
We can check this by finding 30% of 250 which is 75
75=75
What is the y-intercept of function f?
Answers
Answer: it’s not 5 I got that wrong
Step-by-step explanation:
y-intercept of function f is 1.
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given function
f(x) = -3x -2 , -∞ < x < -2
= -x + 1, -2 ≤ x < 3
= 2x + 5, 3 ≤ x < ∞
For y-intercept, x =0, f(x) = -x + 1 [∵ -2 < 0 < 3]
f(0) = -0 + 1
= 1
Hence, y-intercept of function f is 1.
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Plz quick can some one help me with these two questions also plz show working out
Answers
total salary = £3600 x 4 = £14400
total amount of salary spent
= (£14400x20%) + (2/5 x £14400) + £3600
= £2880 + £5760 + £3600
= £12240
total amount saved
= £14400 - £12240
= £2160
23a. amount anwar saves = 12%
= 0.12 of his salary
amount bethany saves = 1 - 7/8
= 1/8 = 0.125 of her salary
hence, bethany saves more money each week.
Helps me solve this problem please
Answers
Answer:
(1,1) and (-2,-11) are the correct solutions
Answer:
D. (1, 1) and (-2, -11)
Step-by-step explanation:
A's answers:
Coordinates: (0, -3) and (-1, -1)
Equations when they get solved:
4(0)-3=-3 (correct)
4(-1)-3=-1 (incorrect)
B's answers:
Coordinates: (-2, -5) and (2, 5)
Equations when they get solved:
4(-2)-3=-11 (incorrect)
4(2)-3=5 (correct)
C's answers:
Coordinates: (0, 3) and (3, 9)
Equations when they get solved:
4(0)-3=-3 (incorrect)
4(3)-3=9 (correct)
D's answers:
Coordinates: (1, 1) and (-2, -11)
Equations when they get solved:
4(1)-3=1 (correct)
4(-2)-3=-11 (correct)
A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?
Answers
Answer:
Average speed is 15km/hStep-by-step explanation:
Step one:
given data:
total distance =7.5km
time taken= 30 min= 0.5 hours
we know that the average speed is the average distance divided by time taken
Step two:
mathematically expressed as
speed=distance/time
substituting we have
speed=7.5/0.5
speed=15km/hour
Hence the average speed is 15km/h
The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled
Answers
Answer:
C.
Step-by-step explanation:
X is the number miles driven so C. is the BEST answer choice.
Answer:
Its C
Step-by-step explanation:
What type of correlation is the graph below?
a
no correlation
b
quadratic correlation
c
negative
d
positive
Answers
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPP!!!!
Select the missing property.
(9+3)v
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property
Answers
Answer:
Associative property of addition
Step-by-step explanation:
yes
44% of the books are fairy tales. What fraction of the books are fairy tales (Give your answer in simplest form e.g. 10/11)
Answers
Answer:
[tex]\frac{11}{25}[/tex]
Step-by-step explanation:
44% can also be written as a fraction: [tex]\frac{44}{100}[/tex]
To simplify this fraction, let's divide the numerator and the denominator by 4:
44/4 = 11
100/4 = 25
The simplest form of the fraction of books that are fairytales is [tex]\frac{11}{25}[/tex]
1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D
Answers
Answer:
B
Step-by-step explanation:
.99*6= 5.94
Answer:
B. 5.94
Step-by-step explanation:
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answers
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0Edna runs at a speed of 9 miles per hour. How many miles per second is her speed?
Answers
Answer:
To convert any value in miles per hour to miles per second, just multiply the value in miles per hour by the conversion factor 0.00027777777777778. So, 65 miles per hour times 0.00027777777777778 is equal to 0.01806 miles per second. so the answer is 0.0025
Step-by-step explanation:
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Answers
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Answer:
What graph
The time taken by the shipping company to pack 180 boxes is 15 hours.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
The given graph is the direct relation and has a constant proportion as,
Book packed/hour = 60/5 = 12
With this constant of proportionality,
For 180 boxes,
180/hour = 12
Hour = 15
Hence "It takes the shipping business 15 hours to pack 180 cartons".
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Missing data shown below,
PLEASE HELP 15 POINTS N BRAINLIEST
Answers
Answer:
OK don't worry we will help you get 15 points
Pick any two points: (5, 500), (10, 100)
(100-500)/(10-5) = -400/5 = -80
Y = -80x + h
Plot in the points
500 = -80(5) + h
500 = -400 + h
h = 900
b) Y = -80x + 900
(I have to go. I’m sure you can do the rest on your on )
8^1/3 dived by 5^-2
Please help
Answers
Answer:
50
Step-by-step explanation:
(8^1/3) /(5^-2)
(2)/(0.04)
50