Answer:
The dilation scale factor is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
The image is the dilated form of its preimage if and only if the following conditions are observed:
1) [tex]K' = \alpha_{1} \cdot K[/tex]
2) [tex]T' = \alpha_{2} \cdot T[/tex]
3) [tex]P' = \alpha_{3} \cdot P[/tex]
4) [tex]J' = \alpha_{4} \cdot J[/tex]
5) [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex]
If we know that [tex]K = (2, 0)[/tex], [tex]K' = (1, 0)[/tex], [tex]T = (3, 0)[/tex], [tex]T' = (1.5,0)[/tex], [tex]P = (1, 5)[/tex], [tex]P' = (0.5, 2.5)[/tex], [tex]J = (0, 3)[/tex] and [tex]J' = (0, 1.5)[/tex], then the coefficients are, respectively:
[tex]\alpha_{1} = \frac{1}{2}[/tex], [tex]\alpha_{2} = \frac{1}{2}[/tex], [tex]\alpha_{3} = \frac{1}{2}[/tex], [tex]\alpha_{4} = \frac{1}{2}[/tex]
As [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex], we conclude that the dilation scale factor applied in the preimage is equal to [tex]\frac{1}{2}[/tex].
show that the the product of the first two numbers 28,48 of that stem is equal to the product of their LCM and HCF
Answer:
HCF is 4
LCM is 336
Step-by-step explanation:
2/28 , 48
2/14 , 24
2/7 , 12
2/7 , 6
3/7 , 3
7/7 , 1
1 , 1
HCF is 2 × 2 =4
LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336
A 60 foot monument casts a 25-foot shadow How long is the shadow of a 4.5 tall person?
A) 1.875 feet (it’s this one)
B) 5.555 feet
C) 2456 feet
D) 13334 feet
Answer:
A
Step-by-step explanation:
Using similarities we have
(Actual size)/(Shadow length)=60/25=4.5/x
x=4.5*25/60=1.875
Answer:
A) 1.875 feet
Step-by-step explanation:
Calculate the average speed in km/h for a plane that travels 1300km in 4 hours??
Answer:
The plane is going 325 kilometers per hour :)
Step-by-step explanation:
To find the average speed per hour, divide 1300 by 4.
1300/4 = 325
PLZ HELP!! ASAP!! IT"S FROM KHAN!! NO FILES!!
Answer:
The slope is (1/4)
Step-by-step explanation:
Slope is calculated for the points (5,6) and (1,5). Slope is (6-5)/(5-1)=1/4
Answer: m = 10/3
Step-by-step explanation:
(0.3, 1) (0.6, 2)
(2-1)/(0.6-0.3)=
1/0.3 = 10/3
How high does rent have to be to be an outlier
Answer:
congratulate you have Windows 11
simple geometry problem i cant understand
Answer:
23.5
Step-by-step explanation:
m∠Y = (m∠RTS - m∠VTX)/2
m∠Y = ((180 - m∠RTV) - (180 - m∠VTX))/2
m∠Y = ((180 - 95) - (180 - 142))/2
m∠Y = (85 - 38)/2
m∠Y = 47/2
m∠Y = 23.5
The velocity of a particle moving along a straight line is given by v(t)=6t2+4t−5 cm/sec at time t seconds with initial position s(0)=3 cm. What is the position of the particle at t=2 seconds, in cm?
Answer:
s(2) = 17 cm
Step-by-step explanation:
We are told that the velocity function is;
v(t) = 6t² + 4t − 5 cm/sec
Integral of velocity gives distance.
Thus;
s(t) = ∫v(t) = ∫6t² + 4t − 5
s(t) = 2t³ + 2t² - 5t + c
We are told that s(0)=3 cm
Thus;
s(0) = 2(0)³ + 2(0)² - 5(0) + c = 3
Thus; c = 3
Thus;
s(t) = 2t³ + 2t² - 5t + 3
At t = 2 secs
s(2) = 2(2)³ + 2(2)² - 5(2) + 3
s(2) = 17 cm
HELP PLEASE ASAP!!!!! Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
GIVE ME BRAINLIEST
Step-by-step explanation:
factor and solve the problem in the photo ……. pleaseeee helppppp i havent done algebra in 2 years
Answer:
Not factarable, all terms must be in x. or y
Step-by-step explanation:
Guys please help me with this question
Answer:
Step-by-step explanation:
[tex]\frac{g}{f} (x)=\frac{g(x)}{f(x)} \\=\frac{3x^2+x}{4x} \\=\frac{x(3x+1)}{4x} \\=\frac{3x+1}{4}[/tex]
Solve for x:
( x - 6 ) ^ 2 = 7
Answer: x= 6 +/- root of 7
Step-by-step explanation:
1. Expand the left hand side: e.g, 3^2 = 3×3 =9
(x-6)(x-6) = 7
2. Multiply the brackets first by "separating" one of them, and take 7 to the left hand side:
x(x-6) - 6(x-6) =7
x^2 - 6x -6x +36-7=0
Simplify by adding like terms
x^2 -12x +29=0
3.Now your equation is in the form ax^2+bx + c =0, it means you can use the quadratic formula which is x= [-b +/- root of (b^2 - 4ac)]÷ 2a
Then SUBSTITUTE where:
a=1
b= -12
c=29
Therefore, x should be 6+ root of 7 OR 6- root of 7
Answer:
uhhhh okay thank you for removing my answer
Step-by-step explanation:
Can someone help me on this
Answer:
The choose (C)
F(x)=x/ (x+1)(x-2)
Name the property shown by the statement a + b + 2 = 2 + a + b
Need help on #7 , #8 Asap
Plsss help asap plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
The answer is the last one, (X^2-2)/3!
Step-by-step explanation:
To get the inverse of a function, you switch the variables and solve for y. Doing this produces the last choice.
On Sunday Paul earns 20 cents for every newspaper he delivers if Paul receives $6.40 then how many newspapers did he deliver on Sunday
Answer:
32 newspapers
Step-by-step explanation:
6.4 / 0.2 = 32
Answer:
32 papers
Step-by-step explanation:
Take the total amount and divide by .20
6.40 / .20
Multiply the top and bottom by 10
64/2
32
Please help me thank you xx
Answer:
A
Step-by-step explanation:
the brigde means anything in between
7 is subtracted from the product of 6
Answer:
product =7×6=42
subtract 42-7=35
A restaurant has two appetizer specials. Tomato bread costs $5.50, and stuffed mushrooms cost $6.75. The total amount in sales from the two appetizers on a Friday night was $186.75. Which equation can be used to represent x, the number of stuffed mushroom orders and y, the number of tomato bread orders?
Answer:
6.75x + 5.50y = 186.75
Step-by-step explanation:
The stuffed mushrooms cost 6.75 dollars and the tomato bread costs 5.50 dollars.
Answer:
186.75
Step-by-step explanation:
6.75x+5.50y=186.75
All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line. B. All boundary points of a rational inequality should always be represented by plotting a closed circle on a number line. C. All boundary points of a rational inequality should always be represented by plotting an open circle on a number line. D. All boundary points of a rational inequality that are found by determining the values for which the numerator is equal to zero should always be represented by plotting an open circle on a number line.
Answer: All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.
Step-by-step explanation:
Based on the options given in this question, it should be noted that the option that is true is that all boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.
Therefore, the correct option is A.
the total population of a village is 3540 out of which 2065 are male find the ratio of males to female
Answer:
7 : 5
Step-by-step explanation:
number of females = 3540 - 2065 = 1475
males : females
2065 : 1475
7 : 5
For the quadratic, y = -2(x - 1)(x + 4), the x-intercepts are
Answer:
I think (-2, 13) or (-2, 12)
n the graph below determine how many real solutions the quadratic function has, and state them, if applicable. List solutions in order from left to right on the graph, or least to greatest. If the function has only one solution, type the solution in both of the boxes. If there are no real solutions type “none” in both boxes.
Answer:
There are no real solutions.
Step-by-step explanation:
There are 3 options.
2 real solutions: This happens if in the graph, each arm intersects the x-axis, this means that there are two different values of x such that the equation:
a*x^2 + b*x + c
is equal to zero.
Another way to see this, is if the determinant:
b^2 - 4*a*c
is larger than zero.
1 real solution: This happens when the vertex of the graph intersects the x-axis. This means that there is a single value of x such that:
a*x^2 + b*x + c
is equal to zero.
Another way to see this is if the determinant:
b^2 - 4*a*c
is larger equal zero.
No real solution: if in the graph we can not see any intersection of the x-axis, then we do not have real solutions (only complex ones).
Another way to see this is if the determinant:
b^2 - 4*a*c
is smaller than zero.
Now that we know this, let's look at the graph.
We can see that the vertex is below the x-axis, and the arms of the graph go downwards. So the arms will never intersect the x-axis (and neither the vertex).
So the graph does not intersect the x-axis at any point, which means that there are no real solutions for the quadratic equation.
The correct answer would be "none"
The test statistic of z=2.93 is obtained when testing the claim that p≠0.523. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01, should we reject H0 or should we fail to reject H0?
Answer:
Step-by-step explanation:
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.5289 , 0.6097 )
Reference=0.523 Reject H0
look at image above question and answers
Answer:
Step-by-step explanation:
Let's try all of them one by one.
Our equation is 4x + 2y + 3 = 19.
A:
20 + 6 + 3 = 19
Not quite!
B:
16 + 10 + 3 = 19
Still not it!
C:
12 + 4 + 3 = 19
We got it!
But still, we check D.
8 + 10 + 3 = 21
Nope.
C (or the 3rd option) is our answer.
I hope this helped.
Pears cost 38p how much for 15 pears?
Answer:
if pears cost 38p
then 15=15×38
=570p
If is added to a number and the sum is 8 multiplied by 2, the answer is What is the number? 3
Answer:
Let the number be x
Given that
⇒(x+
3
2
)×2=
3
16
⇒x+
3
2
=
3
8
⇒x=
3
8
−
3
2
⇒x=
3
6
⇒x=2
Thus the number is 2
A shop owner buys loaves of bread at $4800 and sells them for $5650 each. Find the percentage profit/ loss earned.
Answer:
17.708333% increase
Step-by-step explanation:
To find the percent increase take the new price and subtract the old price
5650-4800
850
Divide by the old price
850/4800
0.177083333
Change to percent form
17.708333% increase
Pat’s Pizza Shack offers customers two choices of crust, three choices of sauce, and four choices of toppings shown below. If a 1-topping pizza is selected at random, what is the probability that it will be deep dish crust, with traditional sauce and green peppers?
Answer:
1/24 (fraction form)
hope this helps
What's bigger 3.05kg or 3.56
Answer:
3.56
Step-by-step explanation:
Brainly wants me to write more but that's the answer