Answer:
The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3
Step-by-step explanation:
The given information are;
The vertices of ΔPQR are;
P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)
Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For side PQ, we have;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)
Given that the points have equal y-values, the length is the difference of their x-values as follows;
[tex]l_{PQ}[/tex] = 6 - 3 = 3
Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;
[tex]l_{QR}[/tex] = -3 - (-6) = 3
Length PR is given as follows;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)
[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]
[tex]l_{PR}[/tex] = 3·√2
For P'Q', we have
P'(-2, 2), Q'(-2, 1)
[tex]l_{P'Q'}[/tex] = 2 - 1 = 1
[tex]l_{P'Q'}[/tex] = 1
For Q'R', we have
Q'(-2, 1), R'(-1, 1)
[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1
[tex]l_{Q'R'}[/tex] = 1
For P'R', we have;
P'(-2, 2), R'(-1, 1)
[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]
[tex]l_{P'R'}[/tex] = √2
Therefore, given that we have
PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3
The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.
On a standardized multiple choice test, 3 points were awarded for a correct answer, while a wrong answer caused a deduction of 1 point, and no points were awarded or deducted for omitted questions If Marjorie received a score of 84 when she omitted 4 of the 40 questions on the test, how many did she get right? How many did she get wrong?
Answer: She got 30 questions right and 6 questions wrong.
Step-by-step explanation:
Let x = Number of correct questions, y = Number of wrong questions
As Award for each correct answer = +3 points and Award for each wrong answer = -1 point.
Total score = 3x-1y
If Marjorie omitted 4 of the 40 questions, then she did 40-4=36 questions.
Now, x+y = 36 (1)
and 3x-y =84 (2) (as she scored 84)
Adding (1) and (2), we get
4x = 120
Divide both sides by 4, we get
x= 30
y = 36-30=6
hence, she got 30 questions right and 6 questions wrong.
22+54=y+16 whats the answer
Answer:
y=60 or 60=y
Step-by-step explanation:
22+54= 76
76=y+16
60=y or the other way around
BRAINLIEST
A type of mold doubles every 9 hours. If you started with 14 spores in a Petri dish, how many spores would you have after 45 hours? After 45 hours, there would be_______spores.
Answer:
448
Step-by-step explanation:
Every 9 hours, mold doubles
Started with 14 spores
In 9 hours, 14+14= 28 spores
In 18 hours, 28+28=56 spores
In 27 hours, 56+56=112 spores
In 36 hours, 112+112=224 spores
In 45 hours, 224+224=448 spores
We want to write an equation for an exponential growth that represents the change in the population of mold.
The answer is: "After 45 hours, there would be__448__spores."
-----------------------------------
We know that a given type of mold doubles every 9 hours.
So if you start with a quantity A of spores, after 9 hours there are:
2*A spores.
After another 9 hours (for a total of 18 hours) the population is:
(2^2)*A spores.
You already could see the pattern.
After x hours, the number of spores will be given by:
p(x) = A*(2)^(x/9)
Now we want to know how many spores are there after 45 hours, if the initial amount is 14 spores.
So we need to replace:
A = 14x = 45Then we want to compute:
p(45) = 14*(2)^(45/9) = 448
From this, we can conclude that after 45 hours there will be 448 spores.
If you want to learn more, you can read:
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Jenny works mowing lawns and babysitting. She earns $8.80 an hour for mowing and $7.70 an hour for babysitting. How
much will she earn for 1 hour of mowing and 3 hours of babysitting?
Answer:
$31.90
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
help is it a, b or c??
Answer:
B
Step-by-step explanation:
A translation is just moving the same shape on a grid, thus nothing changes.
Ok I rlly need help with this question it’s rlly hard for me there’s a picture to show —> helppp
Answer:
x=20; vertical angles theorem
Step-by-step explanation:
hi! we can use the vertical angles theorem for this. vertical angles are congruent to each other, meaning they are the same amount of degrees. so, we can set 2x+10 and 50 equal to each other.
2x+10=50
2x=40
x=20
x=20 because of the vertical angles theorem.
During a promotional weekend, a state fair gives a free admission to every 188th person that enters the fair. On Saturday, there were 6,737 people attending the fair. On Sunday, there were 8,669 people attending the fair. How many people received a free admission over the two days?
Answer: 81 people
Step-by-step explanation:
Number of people that attended fair on Saturday = 6737
Number of people that got free admission = 6737/188 = 35.8.
Free admission on Saturday = 35
Number of people that attended fair on Saturday = 8669
Number of people that got free admission = 8669/188 = 46.1
Free admission on Sunday = 46
The people who received a free admission over the two days will be:
= 35 + 46
= 81 people
Let f (x) = 3x² + 2x – 1 and g (x) = x2 – 3x + 1
Find f(x) + g(x)
4x2 - x
4x2 + 5x
2x2 - 5x + 2
4x2 - x + 2
Answer:
4x² - 1
Step-by-step explanation:
Add:
3x² + 2x - 1
x² - 3x + 1
= 4x² - x
Leah is an interior designer. She will use the scale drawing shown of two bedrooms and a shared bathroom to create her designs for her client. 25 points please help quick!!!!!
What are the dimensions of the outer rectangle in Leah’s scale drawing?
A. 3 3/8 x 5 5/8
B. 5 5/8 x 9
C. 6 3/4 x 5 5/8
D. 15 x 24
*see attachment for the scale drawing
Answer:
5⅝ in × 9 in
Step-by-step explanation:
Dimensions of the actual length = 15 ft by (9 + 6 + 9) ft
Dimensions of the actual length = 15 by 24 ft = 15 ft × 24 ft
Using the scale given as ⅜ in = 1 ft, let's find the dimensions of Leah's scale drawing of the outer rectangle.
Multiply each dimension in ft by ⅜ to get the dimension of the outer rectangle's scale drawing:
[tex] 15 * \frac{3}{8} = \frac{15*3}{8} = \frac{45}{8} = 5\frac{5}{8} [/tex]
[tex] 24 * \frac{3}{8} = 3 * 3 = 9 in [/tex]
Therefore, the dimensions of the scale drawing of the outer rectangle = 5⅝ in × 9 in
Select the symbol that properly compares each pair of numbers:
a. -|-15| ___ -(-15)
• <
• >
• =
b. |-18| ___ -18
• <
• >
• =
c. -|-3| ___ -|3|
• <
• >
• =
d. -|-6| ___ |-6|
• <
• >
• =
Answer:
a. >
b.<
c.=
Step-by-step explanation:
4) Tony pays $245 for a PS4. He decides to sell the PS4 with a 30%
markup. How much is Tony selling the PS4 for?
Answer:
175
Step-by-step explanation:
trust me .
Answer:
318.5
Step-by-step explanation:
30% of 245 is 73.5
245 + 73.5 = 318.5
please hurry.............The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A: (24 > 16) (24 < 16) (24 = 16)
B: (-22 > -6) (-22 < -6) (-22 = -6)
C: (21 > -18) (21 < -18) (21 = -18)
D: (-25 > 5) (-25 < 5) (-25 = 5)
Multiplying both sides of an inequality by a positive number (does not change or reverses) the inequality symbol.
the things in "()" are the answer choices lol.
Answer:
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.
The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A:
✔ –16 < –4
B:
✔ 40 > 8
C:
✔ –45 < 15
D:
✔ 35 > –20
Multiplying both sides of an inequality by a negative number
✔ reverses
the inequality symbol.
Step-by-step explanation:
hope this helps
Answer:
1. B
2. A
3. B
4. A
5. reverses
Step-by-step explanation:
13 PLS TELL ME THE EQUATION AND HOW TO SOLVE IT WITH THE ANSWER
Answer:
b
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This triangle should be 180 degrees.
So you should add 80 and 45 and subtract it from 180 to get x.
the multiplicative inverse of 7-2 is
Answer:
8
Step-by-step explanation:
It
Answer:
The answer 1/5
Step-by-step explanation:
mark Brainliest
What is the factorization of the expression below?
25x^2 - 36
A. (5x+6)(5x-6)
B. (5x-6)(5x-6)
C. (5x- 4)(5x-9)
D. (5x + 4)(5x-9)
Answer: The answer is A, (5x+6)(5x-6)
Step-by-step explanation: The negative and positive 6 will cancel out the regular X, meaning that 25x^2 and -36 are the only numbers left.
How many degrees are in a twelfth of a full turn?
Answer:
30 degrees
Step-by-step explanation:
A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!
Hope this helps you out...have an amazing day c:
Use a common denominator to find –12+(-3).
Explain your answer.
The answer is 15 because you have two equal signs so they add up and that's why it gives that answer
Can y’all help please I’ll mark Brainly for first responders
Answer:
1=$1
2=$2
3=$3
4=$4
Step-by-step explanation:
Jeremy mixes blue, red, and white paint in the ratio of 3:5:1 to make purple paint. If he uses 24 cups of blue paint, how many total cups of purple paint will he make?
Answer:
8 cups
Step-by-step explanation:
If it takes 3 blue paint for each purple, the ratio is 3:1
3:1=24:x
x=8
if medain of 10, 20, x+5,x+10,50,60 is 35 then find x
Answer:
X = 27
Step-by-step explanation:
10, 20, 32, 37, 50, 60
First things first, take off 10, 20, 50, and 60.
Now, you remain with 32 and 37. Now from here it is simple.
Average of 32 and 37 = 34.83
Round 34.83 to 35
32 averaging 37 (Rounding Terms) ≈ 35
So X is 27
9/g + 2h + 5
When g = 3 and h = 6
The answer fam is............ 20
9 divided by 3 is 3, 2 times 6 = 12
3+12+5=20
Answer:
Answer is 20 The simplified equation is 3+12+5
Step-by-step explanation:
since g =3 and h=6 we get 9/3 + 2(6) + 5 which makes 9/3= 3 and 2(6)=12 so it is simplified to 3+12+5 all added we get 20.
Hope I could Help.
Consider the equation : 2x+6y=102 x + 6 y = 10.
If we graph the equation, what is the slope of the graph? Remember you can rewrite the graph in slope-intercept form to help determine your solution: y=mx+b. m = slope.
Answer:
hmmmmmmmmmmmmmmmmmm i would but im 2 lazy and bored
Step-by-step explanation:
SORRY
What is the slope of the line that passes through the points (0,0) and (6,0)?
Slope =

Answer:
0
Step-by-step explanation:
it has a zero slope
0,0
6,0
0-0=0
6-0=6
0/6 is 0
If 3 (x + 2) – 2(x + 1) = 8
what is the value of x
Answer:
x=4
Step-by-step explanation:
x+4=8
x+4-4=8-4
x=4
12⁴x 9³ x 4
6³ x 8² x 27
Answer:
12⁴ × 9³ x 4 = 60,466,176
6³ × 8² × 27 = 373,248
Step-by-step explanation:
You could use the expanded form to calculate the answer
12⁴ = 20,736
9³ = 729
4 = 4
20,736 × 729 × 4 = 60,466,176
6³ x 8² x 27
6³ = 216
8² = 64
27 = 27
216 × 64 × 27 = 373,248
which is the best estimate of -14 1/9 × -2 9/10
Answer: 42
Step-by-step explanation:
-14 1/9 would round to -14
-2 9/10 would round to -3
-14 x -3= 42
Which transformation can be used to show that LMN is similar to PQR?
A. Dilation, reflection
B. Reflection, translation
C. Rotation, dilation
D. Translation, rotation
Plz HELP graph of the four functions.
Answer:
Use math-way for the rest
Step-by-step explanation:
Hope this helps!
The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone
The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
Describe Function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.
More formally, a function f from a set X to a set Y is denoted as f: X → Y
For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.
Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.
Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.
The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:
C(x) = 2(x - L) + 40
where:
C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).
L is the speed limit (in mph).
(x - L) represents the number of miles per hour over the speed limit that the car was traveling.
The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.
To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:
C(50) = 2(50 - 35) + 40
C(50) = 2(15) + 40
C(50) = 30 + 40
C(50) = $70
Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
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25 POINTS!!!! Help please
Answer:
Probably A
Step-by-step explanation: