Question 1)
Answer:
Please see the explanation.
Step-by-step explanation:
We know that the dilation of an original object shows how much bigger or smaller the image will really get, as compared to the original shape.
Also,
if the value of scale factor > 1, the image will get bigger.if the value of scale factor < 1, the image will get smaller.The new coordinates of the image can be determined by multiplying the scale factor with the coordinates of the original object.
Given the preimage points:
A(0, 5)B(4, 9)C(-1, -8)The formula of the dilation by a scale factor of 3:
(x, y) → (3x, 3y)
As the scale factor > 1, so the image will be bigger.Therefore, the coordinates of the dilated image after the dilation by a scale factor of 3 will be:
A(x, y) → (3x, 3y) = A(0, 5) → (3(0), 3(5)) = A'(0, 15)
B(x, y) → (3x, 3y) = B(4, 9) → (3(4), 3(9)) = B'(12, 27)
C(x, y) → (3x, 3y) = C(-1, -8) → (3(-1), 3(-8)) = C'(-3, -24)
Question 2)
Answer:
Please see the explanation.
Step-by-step explanation:
Given the preimage points:
A(0, 5)B(4, 9)C(-1, -8)The formula of the dilation by a scale factor of 1/2:
(x, y) → (1/2x, 1/2y)
As the scale factor < 1, so the image will be smaller.Therefore, the coordinates of the dilated image after the dilation by a scale factor of 1/2 will be:
A(x, y) → (3x, 3y) = A(0, 5) → (1/2(0), 1/2(5)) = A'(0, 5/2)
B(x, y) → (3x, 3y) = B(4, 9) → (1/2(4), 1/2(9)) = B'(2, 9/2)
C(x, y) → (3x, 3y) = C(-1, -8) → (1/2(-1), 1/2(-8)) = C'(-1/2, -4)
Three adult kangaroos weigh 435 pounds.
If each adult weighs the same, how much
would one adult kangaroo weigh?
Answer:
um 145 lbs
Step-by-step explanation: basic math bruv
Answer:
145 lbs
Step-by-step explanation:
HELP URGENT ASAP WILL MARK AND 5 STARS DUE in 5 MINUETS HURRY
Answer:
1. x=8
the other ones i got was decimals and i dont think you want those for this assignment
Step-by-step explanation:
A line has this equation Y= 3X +4 write an equation for the parallel line that goes through -4, -9
Answer:
4 plus 4 equelses 12
Step-by-step explanation:
A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to build a fence that is 150 inches long?
Answer:
25 wooden boards
Step-by-step explanation:
Given that:
Width of wooden board = 6 inches
Number of boards required to build a fence of 150 inches long if there are no gaps :
The lenght of fence / width of wooden board
= 150 inches / 6 inches
= 25 wooden boards
Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes that the product of her brothers ages is equal to the age of her 40 year old father. How old is Sarah? How do we setup an equation for this using null factor law presumably.
Answer:
Sarah is 13 years old
Step-by-step explanation:
Represent Sarah's age with S
Her first brother's age with F
Her second brother's age with B
So, we have:
From the first statement, we have:
[tex]S - F = 5[/tex] ---- (1)
From the second, we have:
[tex]S - B = 8[/tex] ---- (2)
The product of their ages is 40.
First, we make F the subject in (1) and B the subject in (2)
[tex]F = S - 5[/tex]
[tex]B = S - 8[/tex]
Their product is represented as follows:
[tex]F * B = 40[/tex]
Substitute values for F and B
[tex](S - 5) * (S - 8)=40[/tex]
Open bracket
[tex]S^2 - 5S -8S + 40 = 40[/tex]
[tex]S^2 - 13S + 40 = 40[/tex]
Subtract 40 from both sides
[tex]S^2 - 13S = 0[/tex]
Factorize:
[tex]S(S - 13) = 0[/tex]
Split:
[tex]S = 0[/tex] or [tex]S - 13 = 0[/tex]
But Sarah's age can't be 0 because she has two younger brothers.
So, we stick to
[tex]S - 13 = 0[/tex]
Make S the subject
[tex]S = 13[/tex]
Hence, Sarah is 13 years old
Multiply. Write your answer in scientific notation.
(8.8 x 10')(7.5 x 10
10 )
PRONTO PLS-------
suppose you deposit $2500 in a savings account that pays you %5 interest per year. how many years will it take for you to double your money? how many years will it take for your account to reach $8000?
Answer:
t = 44 years
Step-by-step explanation:
t = (1/r)(I/P-1)
t = (1/0.05) {(8000/2500) - 1}
t = 44
if /llm what is the value of x?
Answer:
[tex]x^{\circ}=137^{\circ}[/tex]
Step-by-step explanation:
Angle 43 and x are called same-side exterior anglesThat means they sum up to 180 degrees, so[tex]43^{\circ}+x^{\circ}=180^{\circ}\\43^{\circ}-(43^{\circ})+x^{\circ}=180^{\circ}-(43^{\circ})\\x^{\circ}=137^{\circ}[/tex]9. Write the equation of the line in slope-intercept form given the following:
Point (0, 1), (2, -1)
Answer:
y=1x+1
Step-by-step explanation:
We already know the Y intercept is 1 from the first set of points given
The change in x is 2 and the change in Y is also 2 so when you make the slope equation y/x you get 1
Pluggin in the numbers you get: y=1x+1
Noah's oven thermometer gives a reading that is 2% greater than the actual temperature if the actual temperature is 350°F what was the motor reading be
Answer:
357°FStep-by-step explanation:
Step one:
given data
actual reading= 350°F
thermometer reading 2% of the actual reading
Step two:
Required:
The thermometer reading
let us find 2% of 350°F
2/100*350°
=0.02*350
=7°F
Hence the thermometer reading is 7°F greater than 350°F
The thermometer reading is 350+7=357°F
Given that these two triangles are similar, what is the measure of L???
Answer:
35°
Step-by-step explanation:
Each triangle has a total degree of 180° so you know that one triangle has degrees of 90°&55° then you can subtract that from 180 to find out. But since they are similar they have to have the same angles and the first triangle tells you the missing angle.
Which best describes a rectangle with diagonals that are perpendicular?
A. parallelogram
B. rectangle
C. rhombus
D. square
C. rhombus
RectangleA rectangle is a four-right-angle quadrilateral. It is also known as an equiangular quadrilateral since all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.A rectangle with diagonals that are perpendicular is a C. rhombus.Find out more information about the rectangle here:
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yo mama got sstinky toes when u gon wash them 10;00? 3:00? or 9;00
As soon as I can. We dont want no stanky toesss
The b value of the equation y = a(b)^x represents which of the following?
Answer:
the b-value is the growth or decay factor.
Step-by-step explanation:
The smiths went to Larosa's for dinner and spent $42.50 on dinner. There is a 6.5% tax and they want to give a tip of 20% before the tax is added. What is the total price of their bill?
Answer:
Step-by-step explanation:
cost of dinner = $42.5
Tax = 6.5%
Tip = 20%
Total amount percent on food = 26.5%
Amount paid on the original price = 26.5% of $42.5
Amount paid on the original price = 0.265*42.5 = $26.5625
Total price of the bill = $42.5 + $26.5625
Total price of bill = $69.0625
Which of the following is a composite number between 20 and 40?
A. 36
B. 31
C. 37
D. 29
Answer:
A. 36
Step-by-step explanation:
Answer:
A. 36.
Step-by-step explanation:
The other numbers arent composite to 20 and 40
What is the answer??? Only if you know please i will report you no games
Answer:
a b and E
Step-by-step explanation:
-238=-7(-4x+6)
Why why why
Answer: -7=x
Step-by-step explanation: −
238=28−42
−238+42=28−42+42
−196=28
-196/28=28x/28
-7=x
Answer:
i dont know why? why? are you asking Why am i crazt Why or why not?
Step-by-step explanation:
x
у
-12
7.
5
4
3
8
2
16
0
Answer:
The rate of change is - 1/4
3 3/5 x (-8 1/3)=
Please answerr
Answer: 30
Step-by-step explanation: 3 3/5x-8 1/3=30
Easy Math Your Weclome I hope That helped you :)
solve for m
-2(m +5) +14 =-6
Answer:
m=5
Step-by-step explanation:
-2m-10+14=-6
-2m+4=-6
-2m=-10
m=5
Gavin has 50 tokens and continues to ride the roller coaster three times every hour Gibson has 12 tokens and finds two more tokens on the ground every hour how long until they have the same amount of tokens?
Answer:62
Step-by-step explanation: I just did it and got it right
They have the same amount of tokens after t = 7.6 hours.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour.
So, a number of token he losses after t hours is 3 token per hour × t hours = 3t.
Thus, the number of tokens left after t hours is T = 50 - 3t
Since Gibson initially has 12 tokens and find two tokens on the ground per hour, he gains 2 tokens per hour.
So, number of token he gains after t hours is 2 token per hour × t hours = 2t.
Thus, the number of tokens he has after t hours is T' = 12 + 2t
To find the time t when they will have the same tokens, T must be equal to T', that is T = T'.
So, 50 - 3t = 12 + 2t
Now collecting like terms, we have
50 - 12 = 3t + 2t
38 = 5t
Then dividing both sides by 5, we have
t = 38/5
t = 7.6 hours
Hence, they have the same amount of tokens after t = 7.6 hours.
Learn more about the unitary method;
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4. Kerri kicked the ball 2,340 inches. How many yards did she kick the ball?
Answer:
65 yards.
Step-by-step explanation:
The answer is 65 yards because 1 yard is 36 inches and 2340 divided by 36 is 65.
Answer:
the answer is 65 yards.
PLEASE HELPNWILL GIVE BRAINLIEST
Answer:
0.010
Step-by-step explanation:
During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did she make?
i need explanation im confused
Which system of equations could you use to
determine where the paths intersect?
y=0 and y= -0.12(x-20)^2
y=0.8x and y= -0.12x^2+20
y=0.8x and y= -0.12(x-20)^2
y= 0.8x+8 and y = -0.12x^2+20
Answer:B
Step-by-step explanation:
Question:
Which system of equations could you use to determine where the paths intersect?
y=0 and y= -0.12(x-20)^2
y=0.8x and y= -0.12x^2+20
y=0.8x and y= -0.12(x-20)^2
y= 0.8x+8 and y = -0.12x^2+20
Answer:
B.
What is the soulition for 2/3x+16=-14
Answer:
x = - 1/45.
Step-by-step explanation:
Answer:
x = -20
Step-by-step explanation:
2/3x + 16 = -14
-16 -16
2/3x = -30
*2 *2
3x = -60
/3 /3
x = -20
A 50 loot ladder is leaning against a building. If the base of the ladder is 35 feet from the base of the building, how far up the building is does the ladder rest? Round to the nearest hundredth (two decimal places)
Answer:
The ladder is 35.71 feet up the building
Step-by-step explanation:
Here, we want to calculate how far up the building is the ladder placed
We should picture a right angled triangle with hypotenuse 50 and one of the other sides as 35
To find the height in this case, we proceed to use Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides
In this case, let the height be
50^2 = 35^2 + h^2
h^2 = 50^2-35^2
h^2 = (50+35)(50-35)
h^2 = (85)(15)
h^2 = 1275
h = square root of 1275
h = 35.71 ft
help idk how to do this
It takes Frank 2 hours to build a fence. It takes Tom 9 hours to build the same fence. How long would it take to build the fence if Frank and Tom built the fence together?
Answer:
5 1/2 hours
Step-by-step explanation:
You would have to add 2 and 9 and then divide by 2. (Find the average of the two)
2 + 9 = 11
11 / 2 = 5.5
So if you add their times then divide you receive and average of five and a half hours.
Can anyone help me out with these problems?
Answer:
Step-by-step explanation:
1) 3/4x = 1/2 2) 2x = 3/11 3) 1 1/2 x = 12 4) 1/5x = 1/6
x = 1/2 * 4/3 x = 3/11 * 1/2 3/2x = 12 x = 1/6 *5/1
x = 2/3 x = 3/22 x = 12 * 2/3 x = 5/6
x = 4*2
x= 8
5) 5x = 15/21 6) 2/3 x = 3/2
x = 15/21 *5 x = 3/2 * 3/2
x = 75/21 x =9/4
x = 3.5 x = 2.25
plz mark as Brainliest