Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
Given
Rectangle A:
[tex]Length = 12; Width = 8[/tex]
Rectangle B:
[tex]Length = 15; Width = 10[/tex]
Rectangle C:
[tex]Length = 30; Width = 15[/tex]
Solving (1): Is Rectangle A a scaled copy of Rectangle B?
To do this, we simply determine the ratio of the length and width of both rectangles;
i.e.
[tex]Ratio = \frac{A}{B}[/tex]
For Length:
[tex]Ratio = \frac{12}{15}[/tex]
[tex]Ratio = 0.8[/tex]
For Width:
[tex]Ratio = \frac{8}{10}[/tex]
[tex]Ratio = 0.8[/tex]
Since both ratios are the same, then this statement is true
Solving (2): Is Rectangle B a scaled copy of Rectangle A?
This is the inverse of (1) calculated above.
Since (1) is true, then (2) is also true
3. Is Rectangle A a scaled copy of Rectangle C?
To do this, we simply determine the ratio of the length and width of both rectangles;
i.e.
[tex]Ratio = \frac{A}{C}[/tex]
For Length:
[tex]Ratio = \frac{12}{30}[/tex]
[tex]Ratio = 0.4[/tex]
For Width:
[tex]Ratio = \frac{8}{15}[/tex]
[tex]Ratio = 0.53[/tex]
Since both ratios are the not same, then this statement is false
Enter the ordered pair for the vertices for rx-
axis(qrst).
q= (1,3)
r= (3,-3)
s= (0,-2)
t= (-2,1)
q' = ()
r' = ()
s'= ( )
t' = ()
Pls help I need it really soon
Answer:
q1 (1,-3)
r1 (3,3)
s1 (0,2)
t1 (-2,-1)
Step-by-step explanation:
When a shape is reflected, it must be reflected across a line
The vertices for [tex]\mathbf{rx-axis}[/tex] of qrst are:
[tex]\mathbf{q'(1,-3)}[/tex][tex]\mathbf{ r'(3,3)}[/tex][tex]\mathbf{ s'(0,2)}[/tex][tex]\mathbf{t'(-2,-1)}[/tex]The given parameters are:
[tex]\mathbf{q = (1,3)}[/tex]
[tex]\mathbf{r = (3,-3)}[/tex]
[tex]\mathbf{s = (0,-2)}[/tex]
[tex]\mathbf{s = (-2,1)}[/tex]
The transformation rule is given as:
[tex]\mathbf{rx-axis}[/tex]
The above rule means that the vertices are reflected over the x-axis
The rule of the transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{q(1,3) \to q'(1,-3)}[/tex]
[tex]\mathbf{r(3,-3) \to r'(3,3)}[/tex]
[tex]\mathbf{s(0,-2) \to s'(0,2)}[/tex]
[tex]\mathbf{t(-2,1) \to t'(-2,-1)}[/tex]
Hence, the vertices for [tex]\mathbf{rx-axis}[/tex] of qrst are:
[tex]\mathbf{q'(1,-3)}[/tex]
[tex]\mathbf{ r'(3,3)}[/tex]
[tex]\mathbf{ s'(0,2)}[/tex]
[tex]\mathbf{t'(-2,-1)}[/tex]
Read more about reflections at:
https://brainly.com/question/938117
f(x)=2(x-5)^{2}-8
graph equation
find vertex, root, and y-intercept
Answer:
Vertex: (5,-8)
Root: (3,0) and (7,0)
Y intercept: (0,42)
Step-by-step explanation: 2(x-5)^2 -8 graphed
Graph A
Graph B
Graph C
ORE
2
.
Graph D
Graph E
ū v
Answer:
a
Step-by-step explanation:
help me please!!!!!
Answer
the next two terms are
0.000032
0.0000064
Some equations have the form y=kxy=kx, where kk is a number.
Which equation CANNOT be written in the form y=kxy=kx?
Answer:
[tex]x = 4y[/tex]
Step-by-step explanation:
Given
[tex]y = kx[/tex]
See attachment for options.
Required
Determine which of the options answers the question
Analyzing the option one after the other:
[tex]\frac{x}{y} = 4[/tex]
Multiply through by y
[tex]y * \frac{x}{y} = 4 * y[/tex]
[tex]x = 4y[/tex]
Divide through by 4
[tex]\frac{x}{4} = \frac{4y}{4}[/tex]
[tex]\frac{x}{4} = y[/tex]
This can be rewritten as
[tex]y = \frac{x}{4}[/tex]
[tex]y = \frac{1}{4} x[/tex]
By comparison with [tex]y = kx[/tex]
we have:
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]k = \frac{1}{4}[/tex]
Hence: this answers the question.
What are the solutions of this quadratic equation?
X^2 = 16x – 65
Answer:
x= 4.3125
Step-by-step explanation:
Answer:
x=4+7i and x=4-7i
Step-by-step explanation:
Rewrite the given quadratic equation by completing the square.
x^2-8x=-65
x^2-8x+16=-65+16
x^2-8x+16=-49
(x-4)^2=-49
Now, solve the equation by applying the square root property and isolating x.
(x-4)^2=-49
√(x-4)^2 = √-49
x-4=+7i
x=4+7i
So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.
Order from least to greatest
Answer:
|-3|, |-3.52|, |8|, |-11|
Step-by-step explanation:
Hope this helps my guy
Answer:
Well, this is fairly simple.
Step-by-step explanation:
Those | | on either side of all the numbers are absolute value lines.
Those things are everyone's best friend. They turn every number positive, and essentially make your day better.
So, using that knowledge, I can look at your numbers and tell you with confidence that the correct order is |-3|, |-3.52|, |8|, |-11|.
If I'm wrong, go ahead, shoot me. Sounds lovely.
Which of the following is the factor of 5x - 35?
A. 5(x - 7 ) B. 5(x + 7)
C. 7(x - 5) D. 7(x + 5)
Answer:
a
Step-by-step explanation:
The value of a share of AT&T stock on that day wa \$97 50 more than the value a share of IBM HockUnx to represent the unknown value Write an algebraic expression for each of the quantities being compared 0 = the value of a share of AT&T Mock E = the value of a share of IBM stock
Answer:
[tex]A = 97.50 + H[/tex]
Step-by-step explanation:
Given
Stocks: AT&T and IBM HockUnx
Required
Determine the algebraic expression
Represent AT&T with A and IBM HockUnx with H.
Since AT&T is 97.5 more than IBM HockUnx;
The required expression is:
[tex]A = 97.50 + H[/tex]
simplify 9x^2y^-3 for x=5 and y=3
Answer:
8 1/3 or 25/3
Step-by-step explanation:
Answer:
Exact Form: 25/3
Decimal Form: 8.3r (r = repeating)
Mixed Number Form: 8 1/3
What is an equation of the line that passes through the points (5,4) and (2,-2)
Answer:
2
Step-by-step explanation:
Slope equation: (y2-y1)/(x2-x1)
y2 = 4, y1 = -2, x2= 5, x1 = 2
4 – -2 = 6
5 - 2=3
6/3 = 2
3
Rewrite the equation y= 3/7x + 4 in standard form.
Answer:
I think it is 3x-7y=-28
Jacob and Joe are selling cheesecakes for a school fundraiser customers can buy New York style cheesecake and strawberry cheesecakes Jacobs or six New York style cheesecake's and six strawberry cheesecakes for a total of $96 Joe sold one New York style cheesecake and four strawberry cheesecake for a total of $52 what is the cost of each of one New York style cheesecake and one strawberry cheesecake
Step-by-step explanation:
Given data
Let the cheese be x
And strawberry be y
So
6x+6y=96-------1
x+4y=52----------2
Solving 1 and 2 simultaneously
Let us multiply equation 2 by 6 we have
6x+6y=96
6x+24y=312
-0-18y=-216
18y=216
y=216/18
y=12
Put y=12 in equation 2
x+4*2=52----------2
x+8=52
x=52-8
x=44
cheese =44
strawberry =12
Please help!
What is the inverse of f(x)=x2 - 11 if the domain is x > 0
100 points please solve fast! Brainliest please!
Answer:
21Step-by-step explanation:
The number of rectangles and combinations:
1 rectangle = 62 rectangles = 53 rectangles = 44 rectangles = 35 rectangles = 26 rectangles = 1Total
6 + 5 + 4 + 3 + 2 + 1 = 21Now the number of,
Rectangles and combinations are,
→ 1 rectangle = 6
→ 2 rectangles = 5
→ 3 rectangles = 4
→ 4 rectangles = 3
→ 5 rectangles = 2
→ 6 rectangles = 1
Then the total number is,
→ 6+5+4 + 3+2+1
→ 15 + 6 = 21
Hence, total number is 21.
100% A coin is tossed 100 times. Which is the best estimate for the number of times the coin will land heads up?
A 10
B. 20
c. 50
D. 80
E. 100
Answer:
C.50
Step-by-step explanation:
It would be 50 because there are 2 sides to the coin. So if you take 100/2 you get 50. that would be the best estimate answer in my opinion
Number of times the coin will land heads will be 50
What is Binomial Distribution?
Number of trials or observation when each trial has the same probability of attaining one particular value. It determines the probability of observing a specified number of successful outcome in a specific number of trial.
Here , number of times the coin had tosses: 100
P(probability of getting a head in a coin ) : number of time head can come when flipped once / total number of observations
since , head can come once and there are two possibility either head or tail
hence P= 1/2
this implies number of times heads land up = n*P = 100 *(1/2) = 50
option c) 50
Let us learn more about binomial distribution:
https://brainly.com/question/13634543?referrer=searchResults
#SPJ2
Mr. Mikie hired 3 students to deliver advertising fliers. He paid each student the same amount. Let x be the total amount the students earned. Write an expression that tells how much 1 student earned.
Answer:
$x/3
Step-by-step explanation:
Alex prepares goody bags for his guests. He has 30 Minifigures and 24 spinners. How many goody bags can he make if he wants to put the same number of Minifigures in each bag and the same number of spinners in each bag with no toys left over?
Answer:
he can make 6 goodie bags
Step-by-step explanation:
Find the slope of the line from the graph.
Answer:will hope it help to find the answer with an unqualified
Step-by-step explanation:
y = (25 - 2) (35 - 2).
Multiply the binomials.
Answer: y=759
Step-by-step explanation:
y = (25 - 2) (35 - 2)
y = (23) (33)
y = 759
Answer:
y = 759
Step-by-step explanation:
subtract the numbers
y = 23 (35 - 2)
y = 23 x 33
Multiply the numbers
y = 759
Solution
y = 759
which statement is false someone pls answer
What supplies electricity in a circuit
A.the source
B.the conductor
C.the insulater
D.the wires
Answer:
B.the conductor
Step-by-step explanation:
could some one please help I'm not that good with math
Answer:
D and E
Step-by-step explanation:
It is acute because all angles are under 90 degrees. This means that it cannot be F, obtuse. It cannot be A because A scalene triangle is a triangle in which all three sides have different lengths. It cannot be B either because it has 3 sides of equal angles. It cannot be right because non of the angles are 90 degrees. It is equilateral.
Hope this helps.
Which angles would the consecutive interior angles theorem state are supplementary?
Answer: I'd go with Option (C.<3 AND 4, <6 AND 4)
Answer: The answer is D
Step-by-step explanation:
Can i get some help im really confused and im in the test
Answer:
b y= 3x+6 is the ans but not sure
The meter is the standard unit for:
weight
height
mass
length
For a craft project, four students each chose three pieces of wire from a box. Don's wires measure 3 inches, 5 inches, and 12 inches. Margo's wires measure 6 inches, 8 inches, and 14 inches. Sonji's wires measure 12 inches, 8 inches, and 17 inches. Liam's wires measure 16 inches, 8 inches, and 27 inches.
Answer:
Sonji's wires measure will be chosen
Step-by-step explanation:
Given:
Don's wires measure = 3 inches, 5 inches, and 12 inches
Margo's wires measure = 6 inches, 8 inches, and 14 inches
Sonji's wires measure = 12 inches, 8 inches, and 17 inches
Liam's wires measure = 16 inches, 8 inches, and 27 inches.
Find:
Measure used to construct a triangle
Computation:
In a triangle sum of two smaller side is grater then bigger side
a + b > c
So.
Don's wires measure = 3 inches + 5 inches < 12 inches
Margo's wires measure = 6 inches + 8 inches = 14 inches
Sonji's wires measure = 12 inches + 8 inches > 17 inches
Liam's wires measure = 16 inches + 8 inches < 27 inches.
So,
Sonji's wires measure will be chosen
Answer:
sonji
Step-by-step explanation:
period
The 2013-14 roster of the Seattle Seahawks, winners of the 2014 NFL Super Bowl, included 10 defensive linemen and 9 offensive linemen. (Data set may be found here.) The weights in pounds of the defensive linemen were 254 311 297 323 260 242 300 252 303 274 and the weights of the offensive linemen were 310 315 305 318 298 301 321 332 320 (a) Make a back to back stemplot of the weights of the offensive and defensive linemen. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Find the five-number summary for the offensive line. (Enter your answers to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (b) Find the five-number summary for the defensive line. (Enter your answer to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (c) Which group of players tends to be heavier? Offensive Defensive
Answer:
Step-by-step explanation:
The weights in pounds of the defensive linemen were :
254,311, 297, 323, 260, 242, 300, 252, 303, 274
Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
The weights in pounds of the offensive linemen were :
310 ,315, 305, 318, 298, 301, 321, 332, 320
Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
a)
Offensive line Stem Defensive line
24 | 2
25 | 2 , 4
26 | 0
27 | 4
8 | 29 | 7
1,5 | 30 | 0,3
0,5,8 | 31 | 1
0,1 | 32 | 3
2 | 33 |
Five number summary of offensive line:
1) minimum: 298
2) maximum: 332
3)
Lower quartile:298 ,301 ,305 ,310
Q1 is the median of lower quartile
[tex]Q1=\frac{301+305}{2}=303[/tex]
4)
Upper quartile:318 ,320 ,321 ,332
Q3 is the median of upper quartile
[tex]Q3=\frac{320+321}{2}=320.5[/tex]
5)
Q2 is the median
298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315
Q2=315
Five number summary of defensive line:
1) minimum: 242
2) maximum: 323
3)
Lower quartile:242 ,252 ,254 ,260 ,274
Q1 is the median of lower quartile
Q1=254
4)
Upper quartile:297 ,300 ,303 ,311 ,323
Q3 is the median of upper quartile
Q3=303
5)
Q2 is the median
242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
Mid value =\frac{274+297}{2}=285.5
Q2=285.5
c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]
Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]
Mean weight of offensive line is more
So, Offensive group of players tends to be heavier
A ticket to see your favorite baseball team cost $43.32. The price decreases by $0.25 for every game loss during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 24 games. What is the price of a ticket after the team loses 24 games?
Answer:
$37.82Step-by-step explanation:
Given that the cost of the ticket is
$43.32
and the price decrease is by $0.25
let the cost be C
and let the number of losses be L
the expression for the cost we be
C=43.32-0.25L
for the number of losses which is 22 we have
C=43.32-0.25(22)
C=43.32-5.5
C=37.82
Therefore the price after 22 losses is $37.82
Margaretta cleans houses. She can clean 12 houses in 10 hours. If she cleans houses at a constant rate, how many hours will it take Margaretta to clean 27 houses?please i need help
Answer:
32 hours and 15 minutes or 32.4
Step-by-step explanation:
12 divided by 10 = 1.2
27 x 1.2 = 32.4 or 32 hours and 15 minutes