An artist designed a badge for a school club. Figure ABCD on the coordinate grid below shows the shape of the badge.
The badge is enlarged and plotted on the coordinate grid as figure JKLM with point J located at (2, -2) and point M located at (5, 4).
Which of these could be the coordinates for point L?
(2,4)
(8, 4)
(5, 1)
(5, 7)
Answers
Answer:
(8, 4)
Step-by-step explanation:
AD is enlarged to JM
AD² = 2² + 1² = 4 + 1 =5
AD = √5
then you plug in JM
JM² = 6² + 3² = 36 + 9 = 45
JM = √45 = 3 √5
so if
JM=3 AD
then
ML= 3 DC
then you add
5+3=8
the coordinates for point L are (8, 4)
Answer:
Option B is right.
Step-by-step explanation:
Given that an artist designed a badge for a school club.
ABCD is given in the picture.
AD = [tex]\sqrt{(-7+8)^2 +(7-5)^2} \\=\sqrt{5}[/tex]
If JKLM is enlargement of ABCD, then scale factor would b the ratio of AD to JM
JM = [tex]\sqrt{(5-2)^2+(4+2)^2} \\=\sqrt{45} \\3\sqrt{5}[/tex]
Scale factor = 3
AB = 3 hence JK = 9
DC = 1 and so ML = 3
ML is parallel to x axis with a distance of 3 units.
COordinates of L = (5+3, 4) = (8,4)
Option B is right
Related Questions
Is the graph one to one? Math 3!!! Help needed !!
Answers
Answer:
Yes, there exists one output for every input
Step-by-step explanation:
* Lets revise how to test the function is one-one function
- Draw a horizontal line (parallel to x-axis) and moved it up and down
- If the horizontal line cut the graph in more than one point, then
the function is not one-one function
- If the horizontal line cut the graph in only one point, then the
function is one-one function
- That means one output for every input
* Now lets look to the graph
- If we draw a horizontal line and moved it up and down, the line
will cut the graph in just one point
- That means every x has different value of y
∴ There is no same y-coordinate for two x-coordinates
* Yes, there exists one output for every input
Find the value of h in the parallelogram. Round your answer to the nearest tenth
Answers
Answer:
h=7.5 in
Step-by-step explanation:
see the attached figure with letters to better understand the problem
In the right triangle ABC
sin(CAB)=15/18 ----> opposite side divided by the hypotenuse
In the right triangle CDE
sin(DCE)=h/9 ----> opposite side divided by the hypotenuse
In this problem
∠CAB=∠DCE ------> by corresponding angles
therefore
sin(CAB)=sin(DCE)
15/18=h/9
solve for h
h=15*9/18
h=7.5 in
Answer:
Step-by-step explanation:
7.5 inches is correct
Carly wins 1282 tickets at a arcade. For each group of 65 tickets she will receive a prize. Carl solve the problem 1282÷65 and determines that she has enough tickets right now for 19 prices. What is the least number of additional tickets that current needs to win to have enough tickets for a 20th prize?
Answers
18 is correct because 1300/65=20 1300-1282=18.
write the equation for an exponential function, in the form axb^x, whose graph passes through the coordinates points (1, 7.5) ( 3, 16.875)
Answers
Answer:
see explanation
Step-by-step explanation:
The equation of the exponential function in the form
y = a[tex]b^{x}[/tex]
Substitute the given points into the equation and solve for a and b
Using (1, 7.5), then
7.5 = ab → (1)
Using (3, 16.875), then
16.875 = ab³ → (2)
Divide (2) by (1)
[tex]\frac{ab^3}{ab}[/tex] = [tex]\frac{16.875}{7.5}[/tex], hence
b² = 2.25 ( take the square root of both sides )
b = 1.5
Substitute b = 1.5 into (1)
1.5a = 7.5 ⇒ a = 5
The exponential function is y = 5[tex](1.5)^{x}[/tex]
Tell whether each equation represents a direct proportion. If so, identify the
constant of proportionality.
1. 0.4y = x
2. x = 1 - 2y
Answers
Answer:
Step-by-step explanation:
1. 0.4y = x is a direct proportion. It'd be more appropriate to write this as
y = x / 0.4, or y = 2.5x, in which case 2.5 is the constant of proportionality.
2. x = 1 - 2y is not a direct proportion because of the offset (1). A line representing a direct proportion must go through the origin (0, 0); this particular line does not do that.
The first equation, 0.4y = x, represents a direct proportion with the constant of proportionality being 2.5. The second equation, x = 1 - 2y, does not represent a direct proportion since it does not have the form y = kx.
When we talk about two quantities being directly proportional, we mean that as one quantity increases, the other increases by a constant rate, and vice versa. This relationship can be represented by the equation y = kx, where k is the constant of proportionality.
For the first equation, 0.4y = x, this is rearranged as y = (1/0.4)x or y = 2.5x. This is indeed a directly proportional relationship, with the constant of proportionality being 2.5.
The second equation x = 1 - 2y does not describe a directly proportional relationship because it is not of the form y = kx. Instead, it shows that x decreases as y increases, which is suggestive of an inverse relationship, rather than a direct one.
Find the value of X in the circle
Answers
Answer:
x=7 units
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
The triangles AMN and APQ are congruent by SAS similarity postulate
The include angle
∠MAN=∠PAQ
Because
Arc MN=Arc PQ
therefore
MN=PQ
substitute the values
38=4x+10
solve for x
4x=38-10
4x=28
x=7 units
x would be 7 units because 4 × 7 = 28 And 28 + 10 = 38
Which of the following is the solution to the inequality below?
Answers
Answer:
C.
Step-by-step explanation:
distribute.
-3x+9 > 5-5x
put the x's to one side.
2x+9 > 5
put the number to the other side.
2x > -4
x > -2
Use the distributive property to complete the following statement 4(x-1)=4x-___
A. 4
B. –4
C. –1
D. 1
Answers
Answer:
A. 4
Step-by-step explanation:
4*x-4*1=4x-4
caleb made 6 quarts of trail mix for his camping trip. Each week he consumed 4 pints of the trail mix. How many weeks did Caleb have trail mix?
Answers
Answer:
3 weeks
Step-by-step explanation:
1 quart = 2 pints
6 quarts = 12 pints,
so 4 pints each week would take 3 weeks (4pints x 3weeks =12pints)
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -9, -18, -27, -36, ...
Answers
Answer:
The expression of this sequence is -9n
Step-by-step explanation:
* Lets revise the type of the sequence
- Arithmetic sequence:
- There is a constant difference between each two consecutive
numbers
* Ex:
# 2 , 5 , 8 , 11 , ……………………….
# 5 , 10 , 15 , 20 , …………………………
# 12 , 10 , 8 , 6 , ……………………………
* General term (nth term) of an Arithmetic Progression:
- U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d
- Un = a + (n – 1)d, where a is the first term , d is the difference
between each two consecutive terms
* Now lets look to the problem
- The sequence is : -9 , -18 , -27 , -36
∵ -18 - (-9) = -18 + 9 = -9
∵ -27 - (-18) = -27 + 18 = -9
∵ -36 - (-27) = -36 + 27 = -9
∴ The sequence is arithmetic with common difference -9
∵ a = -9 , d = -9 and n is the position of the term in the sequence
∴ The rule of the sequence is Un = -9 + (n -1)(-9)
* We can simplify it
∴ Un = -9 + n(-9) - (1)(-9) = -9 + (-9n) - (-9) = -9 - 9n + 9 = -9n
* The expression of this sequence is -9n
The expression describing the sequence -9, -18, -27, -36, ... is –n, where n represents the position of the term in the sequence.
Explanation:The sequence given is -9, -18, -27, -36, ..., and we need to write an expression using n to represent the position of a term in the sequence. This is clearly an arithmetic sequence because each term is obtained by adding a constant value to the previous term. The common difference here is -9 (since -18 - (-9) = -9).
For an arithmetic sequence, the n-th term is given by the formula an = a1 + (n - 1) × d, where a1 is the first term, and d is the common difference. In this case, a1 = -9 and d = -9. Therefore, we can substitute these values into the formula to get:
an = -9 + (n - 1) × (-9)
which simplifies to:
an = -9n
Find the perimeter of the polygon ??
Answers
Answer:
35.5 m
Step-by-step explanation:
The perimeter of the polygon is the sum of all the sides of the polygon. The sides are given as
11 m , 5 m ,7.5 m , 5m and 7m
Hence the perimeter would be,
11+5+7.5+5+7
= 35.50 m
Which of the following statements is false regarding randomization
Answers
Answer:
Randomization can be replaced by accurately matching the sample to the population
You should never replace Randomization, its important. Thats why this is false (I just took this quiz)
15. Cody and his wife are purchasing a home. The cost
of the home is $145,900. They will be required to
pay a down payment of 5% of the purchase price
and to pay closing costs of 6% of the purchase
price. How much cash will they need for the down
payment and closing costs?
$16,049
$8,754
$7,295
$145,900
$161,949
Answers
They would need $16,049!
Price of the home is $145,900.
Percentage of the down payment is 5%
Subtract 5% from $145,900 = $138,605
That mean 5% of $145,900 is $7,295
Percentage of the closing cost is 6%.
Subtract 6% from $145,900 = 137,146
That mean 6% of 145,900 is $8,754
Add the down payment ($7,925) and closing cost ($8,745)
$16,049!
Mark me Brainliest!! Please!
they will need to pay $16,049
multiply $145,900 by 5%
multiply $145,900 by 6%
now add the totals to get $16,049
Brainliest + Points Please help!!!
A force of 100 newtons will stretch a spring 0.25 meters. How far will a force of 80 newtons stretch it?
Use Hooke's law F = kx.
A.
0.04 meters
B.
0.2 meters
C.
0.4 meters
D.
2 meters
Answers
Answer:Your Answer would be B 0.2 meters
Step-by-step explanation:
What is the answer to this?
Answers
Answer:
90°
Step-by-step explanation:
The angles at the intersection of a kite will always be 90°
i am an odd number with 3 digits. The sum of my digits is 5. my first and last digits are the same. what am i?
Answers
Step-by-step explanation:
Because our number is odd and the first digit is the same as the last one. Then let call it be aba.
a will contain {1,3,5,7,9} but we have
[tex]2a + b = 5 \\ [/tex]
then
[tex]2a < 5[/tex]
so a will be 1 and b will be 3.
Thus, I am 131.
Answer:
131
Step-by-step explanation:
The sum of 3 digits = 5 with first and last the same and is odd, then
3 digit number is 131
A ________ is a transformation of a figure by turning it around a given point.
A. dilation
B. reflection
C. rotation
D. translation
Answers
Answer:
Translation
Step-by-step explanation:
The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. The events are not independent because the .
Answers
Answer:
The events are not independent because the product of their marginal probabilities is not equal to their joint probability
Step-by-step explanation:
Two events A and B are said to be independent with respect to probability if the product of their marginal probabilities is equal to their joint probability. In the question presented we have;
Pr(A) = 0.4
Pr(B) = 0.2
Pr(A n B) = 0.1
The product of their marginal probabilities is;
Pr(A) * Pr(B) = 0.4 * 0.2 = 0.08
Their joint probability is given as;
Pr(A n B) = 0.1
Clearly, Pr(A) * Pr(B) ≠ Pr(A n B) and thus the events are not independent.
Answer:
Product of P(A) and P(B) is not equal to P(A and B)
Step-by-step explanation:
it would be option C on E2020
How do I find the value of x?
Answers
If we know that the angle on the left is 80° we know that the angle on the right is also 80°
We can subtract these from 360° and we are left with 200°
Since all four of the remaining angles are congruent we can divide our remaining 200° by 4
When you do that you get 50, meaning each remaining angle is 50°
Making x=50°
Hope this helped!
Answer:
x = 50
Step-by-step explanation:
There are no guarantees that the question can be answered unless the lines meeting at the intersection point are staight lines. You have to assume that to be true.
The angles making up the line starting at the lower right and going up to the upper left are
80 +x + x = 180 80 and one of the two xs are vertically opposite.
80 + 2x = 180 Subtract 80 from both sides.
80-80+2x=180-80 Subtract
2x = 100 Divide by 2
2x/2 =100/2
x = 50
How many terms are in the arithmetic sequence 7, 1, −5, …, −161?
Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference
27
28
29
30
Answers
Answer:
29
Step-by-step explanation:
The n th term of an arithmetic sequence is
• [tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = 1 - 7 = - 5 - 1 = - 6 and a₁ = 7, [tex]a_{n}[/tex] = - 161, hence
7 - 6(n - 1) = - 161 ← solve for n
7 - 6n + 6 = - 161
13 - 6n = - 161 ( subtract 13 from both sides )
- 6n = - 174 ( divide both sides by - 6 )
n = 29
There are 29 terms in the sequence
A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?
22 feet
26 feet
33 feet
44 feet
Answers
22 feet is the answer I hope this helps
Answer:
Longest rope is 44 feet. 1 piece is 1/2(44)=22. 22+44=66
Step-by-step explanation:
john is asked to roll a fair numver cube, numbered 1 to 6, and tossed a balanced quarter simultaneously. What is the probability that he will roll a 2 and the quarter will come up tails? A.) 1/2 B.) 2/3 C.) 1/6 D) 1/12
Answers
Answer: B 2/3
Step-by-step explanation:
1/6 + 1/2
Find the surface area of a square pyramid where the length of a side of the base is 10cm and the slant height of the pyramind is 16cm
Answers
Answer:
435.26
Step-by-step explanation:
I hope this is right I looked it up on Google. You search up area of a square pyramid and put your info in.
y = 3x-5
6x + 3y= 15
Answers
y = 3x - 5
So substitute 3x-5 for y:
6x + 3(3x-5) = 15
Simplify:
6x + 9x - 15 = 15
15x - 15 = 15
x - 15 = 1
x = 16
THEN find y by plugging the value of x back into the first equation:
y = 3(16) - 5
y = 48 - 5
y = 43
Convert 7pi/5 to degrees.
Answers
Answer: 252 degrees!
7pi/5 is 252degrees.
What is radians?The standard unit of angular measure used in many branches of mathematics is the radian, indicated by the symbol rad. The radian is the SI unit for measuring angles. The radian has replaced the unit as a SI derived unit, which was previously a SI supplementary unit.
Given
To convert radians to degrees, multiply by 180/π, since a full circle is
360° or 2π radians.
(7π/5)⋅180°/π
Cancel the common factor of π.
Rewrite the expression.7/5⋅180
7⋅36
Multiply 7 by 36.
252
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The ratio of red cars to blue cars in a parking lot was 5:3.if there were 40 red cars, how many blue cars were there??
Answers
Every 5 red cars there are 3 Blue cars,
So if there are 40 red cars,
there are going to be 24 Blue cars
40 divided by 5 which is 8
Multiply 3 × 8 which is ( 24 blue cars )
Answer:
24
Step-by-step explanation:
The 5 part of the ratio represents 40 cars, thus
40 ÷ 5 = 8 cars ← value of 1 part of the ratio
3 parts = 3 × 8 = 24 ← number of blue cars
what table represents the exponential function y=5×2^x
Answers
Answer:I would say it's graph 4 if the equation you put is y=5(2)^x
Step-by-step explanation:
What is the value of x?
Answers
x = 16.
Hope this helps!
Answer:
x = 16
Step-by-step explanation:
Since the triangles are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{x}{4}[/tex] = [tex]\frac{20}{5}[/tex] ( cross- multiply )
5x = 80 ( divide both sides by 5 )
x = 16
a cup is 6.4 cm tall, not including the 0.6 cm lip. cups are stacked inside one another. select the function that represents the height of the stack of cups in terms of the number of cups in the stack
Answers
Answer:
c=20
Step-by-step explanation:
H(c)=6.4+0.6c
6.4 is the constant
when the height of the cups is 18.4 the function is:
18.4=6.4+0.6c
then you subtract 6.4 from both side to get:
18.4 - 6.4=6.4 + 0.6c - 6.4
12=0.6c
c= 12/.6
c=20
plzzz mark brainiest
Answer:
The number of cups in the stack is 20. I hope this helps!!
given f(x)=x+2 and h(x)=1/x-1 evaluate the following function at x=2
[h(x)]^2/f(x)
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Substitute x = 2 into both h(x) and f(x)
h(2) = [tex]\frac{1}{2-1}[/tex] = 1 ⇒ (h(2))² = 1
f(2) = 2 + 2 = 4
Hence
[tex]\frac{h(x)^2}{f(x)}[/tex] when x = 2
= [tex]\frac{1}{4}[/tex]
1/4 is the following function at x=2
What are functions?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and co domain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Given
Substituting x = 2 into both h(x) and f(x)
h(2) = 1(2-1) = 1 ⇒ (h(2))² = 1
f(2) = 2 + 2 = 4
Hence
h(x)²/f(x) when x = 2
=1/4
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