Answer:
reduction
Step-by-step explanation:
the orange is a reduction of the black shape because it is the same shape just smaller
Answer:
it's a reduction because the new shape is smaller than the original shape
Step-by-step explanation:
Quadrilateral RUST has a vertex at R (1,2). U S What are the coordinates of R'after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x, y) - (x + 2, y)?
A. (5,8)
B. (5,2)
C. (9,6)
D. (5,6)
Answer:
D. [tex](5,6)[/tex]
Step-by-step explanation:
Let [tex]R(x,y) = (1,2)[/tex], we proceed to perform all operations described on statement:
1) Dilation
[tex]R'(x,y) = O(x,y) + k\cdot [R(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]R(x,y)[/tex] - Original point.
[tex]R'(x,y)[/tex] - Dilated point.
[tex]k[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]R(x,y) = (1,2)[/tex] and [tex]k = 3[/tex], then the dilated point is:
[tex]R'(x,y) = (0,0) +3\cdot [(1,2)-(0,0)][/tex]
[tex]R'(x,y) = (0,0) +3\cdot (1,2)[/tex]
[tex]R'(x,y) = (3,6)[/tex]
2) Translation
[tex]R''(x,y) = R'(x,y) + T(x,y)[/tex] (2)
Where:
[tex]R'(x,y)[/tex] - Original point.
[tex]T(x,y)[/tex] - Translation point.
[tex]R''(x,y)[/tex] - Translated point.
If we know that [tex]R'(x,y) = (3,6)[/tex] and [tex]T(x,y) = (2,0)[/tex], then the translated vector is:
[tex]R''(x,y) = (3,6)+(2,0)[/tex]
[tex]R''(x,y) = (5,6)[/tex]
Therefore, the correct answer is D.
Answer:d
Step-by-step explanation:
What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!
Answer:
EF = 8.8 cm
Step-by-step explanation:
In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]
[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]
262.44 = [tex]/EF/^{2}[/tex] + 184.96
[tex]/EF/^{2}[/tex] = 262.44 - 184.96
= 77.48
EF = [tex]\sqrt{77.48}[/tex]
= 8.8023
EF = 8.8 cm
The length of side EF is 8.8 cm.
Find the x-intercepts for y = -7x2 + 4x + 9 using the quadratic formula. Choose all
correct answers.
Solve for x:
a
3
b
9
c
1.5
d
13.5
Hi there! :)
[tex]\large\boxed{\text{ x = 9}}[/tex]
The two angles pictured are vertical angles, therefore:
8x - 6 = 6x + 12
Solve for x by subtracting 6x from both sides:
2x - 6 = 12
Add 6 to both sides:
2x = 18
Divide both sides by 2:
x = 9.
Answer:
9 is ur answer
Step-by-step explanation:
8x-6=6x+12
8x-6x=12+6
2x=18
x=9
Hope this helps u...
Find the unit rate. Round to the nearest hundredth, if necessary.
$190 for 16 ft
Answer:
About $11.88 per foot
Step-by-step explanation:
what graph shows the solution to the system of linear inequalities? y>2/3x+3 y<_-1/3x+2
Answer:
I believe that the orange shaded part is the answer
Step-by-step explanation:
Can someone please help me ill give you a crown PLEASE HELP
What is 4 8/9 plus 3 2/11
Answer:
8 7/99, Decimal. (8.07 repeated)
Step-by-step explanation:
This is literally my hole grade and I need help this is what it looks like-
Answer:
Muhammed
Step-by-step explanation:
The Molina family went to a concert together. They purchased 4 concert tickets for $25 each, 3T -shirts for $15 each, and a poster for $10.Write an expression for the total cost. Then find the total cost.
Answer:
155
Step-by-step explanation:
( 25 x 4 ) + ( 3 x 15 ) + 10 = 155
whats the sentence as an equation? 107 fewer than u is 191
Answer:
shouldn't it be u-107=191 because if 107 LESS then u is 191 then you would subtract 107 from u to get the 191
In a highschool, for every 13 students that take English class, There are 16 students who take math class. How many students take math if there are 65 students in English class?
Answer:
80 students
Step-by-step explanation:
take 65 divide by 13, then x 5
Answer:
the correct answer would be 80 but if im wrong please correct me
Step-by-step explanation:
2y-x=8 and y-2x=-5. Solve the system of equations
Answer:
y = 7 x = 9
Step-by-step explanation:
2y-x=8
2(2y-x=8)
4y-2x=16
-(y-2x= -5)
3y +0x= 21
3y=21
y=7
2(7)-x=8
14-x=8
9=x
The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE
Answer:
y=x+2
Step-by-step explanation:
y=mx+b, m=1, x=-6, y=-4
-4=(1)(-6)+b
-4=-6+b
2=b
y=x+2
need help asap!!!!!!!
Answer:
Poop
Step-by-step explanation:
Inverse function of y=1-x/7
Answer:
x = (7,0)
y = (0,1)
Step-by-step explanation:
I NEED HELP NOW please
What is the slope of the line that passes through
the points (-8, 2) and (-8, -4)?
Answer:
The slope is undefined
Step-by-step explanation:
as - 4-2/-8-(-8)
Is - 6/0
12x+5y=95
find the x-intercept
Answer:
(95/12,0)
Step-by-step explanation:
Answer:
(7.916, 0)
Step-by-step explanation:
In order to find the X-intercept, let y=0
12x + 5(0) = 95
12x = 95
95/12x = 7.91666...
Therefore, the x intercept is (7.916, 0)
I need helps can someone help me please!!!
Answer:
Jk= 27
LM= 22
KL= 16
MJ=16
Answer:
JK=27
LM=27
KL=16
MJ=16
Step-by-step explanation:
JK=4x+7
=27
LM=5x+2
=27
KL=2y-2
=16
MJ=y+7
=16
so, JK= 27 and KL=16
(I hope u got it)
A boat traveled 432 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed of the boat in still water? What is the speed of the current?
What is 3 fourths times one half
Answer: 0.375
Step-by-step explanation:
5x+6(x-2)-8(x-3) simplify the expression
Final Answer: [tex]3x + 12[/tex]
Steps/Reasons/Explanation:
Question: Simplify the expression [tex]5x + 6(x - 2) - 8(x - 3)[/tex].
Step 1: Expand by distributing terms.
[tex]5x + 6x - 12 - 8(x - 3)[/tex]
Step 2: Expand by distributing terms.
[tex]5x + 6x - 12 - (8x - 24)[/tex]
Step 3: Remove parentheses.
[tex]5x + 6x - 12 - 8x + 24[/tex]
Step 4: Collect like terms.
[tex](5x + 6x - 8x) + (-12 + 24)[/tex]
Step 5: Simplify.
[tex]3x + 12[/tex]
~I hope I helped you :)~
I hate math
First thing's first, PEMDAS. There's nothing to solve in the parenthesis, and there are no exponents, so use multiplication next. 6 • (x-2) and -8 • (x-3)
Your equation after should be
5x + 6x - 12 - 8x + 24
Next would be addition, don't forget it's always left to right.
11x - 12 - 8x + 24
Subtract twelve from the total (or in this case just from 24, and then add the remaining values (that are possible).
11x - 8x + 12
Next, subtract the two remaining x values.
3x + 12
And there you have it. Easy peasy.
If the case is trying to find x, just solve it like this.
3x = -12
x = 4
[50 Points] The function [tex]y = 4.2\sqrt{0.28 x - 1}[/tex] models the annual number of visitors to an amusement park, where y is the number of visitors in millions and x is the number of years since 1975. Find the first year in which the amusement park had 12 million visitors?
Answer:
In 2008.
Step-by-step explanation:
The function:
[tex]y=4.2\sqrt{0.28x-1}[/tex]
Models the annual number of visitors to an amusement park, where y is the number of visitors (in millions) and x is the number of years since 1975.
We want to determine the first year in which the amusement park had 12 million visitors.
So, we will set y equal to 12 and solve for x. This yields:
[tex]12=4.2\sqrt{0.28x-1}[/tex]
By dividing both sides by 4.2, we acquire:
[tex]\displaystyle \frac{12}{4.2}=\frac{120}{42}=\frac{20}{7}=\sqrt{0.28x-1}[/tex]
And by squaring both sides:
[tex]\displaystyle \frac{400}{49}=0.28x-1[/tex]
Adding 1 to both sides produces:
[tex]\displaystyle \frac{400}{49}+1=\frac{449}{49}=0.28x[/tex]
And finally, dividing both sides by 0.28 gives us the approximation:
[tex]\displaystyle x=\frac{449}{49}\cdot \frac{1}{.28}=\frac{11225}{343}\approx32.72\approx33[/tex]
So, 33 years after 1975, the amusement park will have 12 million annual visitors.
Therefore, the first year in which the amusement park will have 12 million annual visitors is in the year 2008.
In a batch of lightbulbs, 30% are tinted, if 45 lightbulbs are tinted, how many lightbulbs are in the batch?
Step-by-step explanation:
30% of lightbulbs = 45 lightbulbs
100% of lightbulbs
= 45 * (100/30) = 150 lightbulbs.
Hence there are 150 lightbulbs in the batch.
If the 8 men on a construction crew make up 40% of the entire crew, how many people are in
the crew?
Answer:
20
Step-by-step explanation:
Since 40% of the crew are men, which means n.40=8 n=8/.40 n=20 total number of crew 20 - 8=12 are women.
The number of people in the crew is 20.
Let the number of people in the crew be represented by x.
Therefore, 40% of x will be 8. This can then be written as:
40% of x = 8
40/100 × x = 8
0.4 × x = 8
0.4x = 8
Divide both side by 0.4
0.4x/0.4 = 8/0.4
x = 20
Therefore, the number of people in the crew is 20.
Read related link on:
https://brainly.com/question/20869258
What are the common factors of 9 and 36
Answer:
The common factors of 9 are 1, 3, and 9.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.
It was estimated that 650 people would attend the baseball game, but 683 people actually attended.
What is the percent error, to the nearest percent, of the estimate?
Answer:
5%
Step-by-step explanation:
33/650=0.0507
0.0507*100=5.07
find the slope thanks
Avery's classroom has 3 round tables and 6 square tables. Each table can seat 4 students.
Students are randomly seated at the tables as they arrive to class.
What is the probability that the first student to arrive will be seated at a square table