Answer:
The image of AB will be 15 cm long after dilation by a scale factor of 5.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the mage of the segment AB after dilation of the segment AB by a scale factor 5 centered at the origin
AB = length → A'B' = 5(length)
It means the length of the image of the segment AB can be determined by multiplying the length of the original segment AB by 5.
so
AB = 3 cm
Thus, the length of image A'B' will be:
A'B' = 5(3) = 15 cm
Therefore, the image of AB will be 15 cm long after dilation by a scale factor of 5.
Virginia had 3600 dollars in her saving account. She withdrew 2/5 of the money and donated 1/2 of this to the orphanage. How much money did she donate?
Answer:
$720
Step-by-step explanation:
what is the value of -6-(x+3)y when x=(-5) and y=2
Answer:
-2
Step-by-step explanation:
So, for this question all it is asking you to do is plug in the x and y values.
-6-(-5+3)y-6-(-5+3)2-2Answer: -2
Step-by-step explanation:
-5 + 3 = -2
-6 - -2 = -4
-4/2 = -2
Which of the following is an arithmetic sequence with common difference –5?
8, 3, –2, –7, . . .
B)
0, 5, 10, 15, . . .
C)
5, 25, 125, 625, . . .
D)
5, –25, 125, –625, . . .
Answer:
Option A i.e. 8, 3, -2, -7, ... is correct.
Step-by-step explanation:
Let us check the sequence given in option A
[tex]8, 3, -2, -7, . . .[/tex]
An arithmetic sequence has a constant difference '[tex]d[/tex]' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
determine the differences of all the adjacent terms of Arithmetic sequence
[tex]3-8=-5,\:\quad \:-2-3=-5,\:\quad \:-7-\left(-2\right)=-5[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=-5[/tex]
Therefore, we conclude that the arithmetic sequence 8, 3, -2, -7, ... has a common difference -5.
Hence, option A i.e. 8, 3, -2, -7, ... is correct.
Answer:
8, 3, –2, –7, . . .
Step-by-step explanation:
Find the product and simplify
(2x+3)(x+6)
I hope that the attachment helps you..
i need help on this don’t know how to do it plz and thank you
someone who gets both correct first get BRAINLY!!PLZ HELP ONLY ANSWERS!!!
Answer:
1 = 11.3
2 = 16
Hope I helped
A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the transmitter to a second city 58 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
Answer:
29% of the drive
Step-by-step explanation:
The plot of the problem is:
Transmitter at origin (0,0)
City to the north at (0,70)
City to the east at (74,0)
The path from city to city is a line with slope:
m = (-70)/74 = -35/37
and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.
The transmitter reach the area enclosed by the next circle:
x^2 + y^2 = 53^2
See the picture attached
The intersection is gotten from the picture or solving:
x^2 + [(-35/37)*x + 70]^2 = 53^2
the points approximately are: (24.1, 47.2) and (45.8, 26.7)
From Pythagorean theorem the total distance of the trip is:
d1 = √(70^2 + 74^2) ≈ 101.9 miles
And the distance when the signal is picked up is:
d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles
You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.
SOLUTION: a diver jumps from a diving board that is 24 feet above the water. the height of the diver is given by h= -16(t-1.5)(t+1) where the height h is measured in feet and the time t
Answer:
The diver will hit the water at 1.5 seconds
Step-by-step explanation:
Given
[tex]h= -16(t-1.5)(t+1)[/tex]
Required (Missing from the question)
When will the diver hit the water?
To do this, we simply solve for t
When the diver hits the water, the height is 0 (at that point)
So, substitute 0 for h in [tex]h= -16(t-1.5)(t+1)[/tex]
[tex]0= -16(t-1.5)(t+1)[/tex]
Divide both sides by -16
[tex]\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}[/tex]
[tex]\frac{0}{-16} =(t-1.5)(t+1)[/tex]
[tex]0 =(t-1.5)(t+1)[/tex]
[tex](t-1.5)(t+1)=0[/tex]
Split
[tex]t - 1.5 = 0[/tex] or [tex]t + 1 = 0[/tex]
Solve for t
[tex]t = 1.5[/tex] or [tex]t = -1[/tex]
But time (t) can not be negative.
So:
[tex]t = 1.5[/tex]
Hence, the diver will hit the water at 1.5 seconds
What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 24/11?
Answer:
The digits are 12/5
Step-by-step explanation:
I believe this is the answer but I could be wrong
Answer:
18
Step-by-step explanation:
Rearrange the equation so m is the independent variable. 7m + 2 = 7n − 5 , n =
Answer:
n=m+1
Step-by-step explanation:
7m+2=7n-5
add 5 to each side
7m+7=7n or 7n=7(m+1)
divide both sides by 7
n=m+1
Answer:
We have that 7m + 2 = 7n - 5
If we want to get n, you can use operations in both sides of the equation to make n the independent variable.
First, from 7m + 2 = 7n - 5, we can sum to both sides 5
7m + 2 + 5 = 7n - 5 + 5
7m + 7 = 7n
Now, we can devide both sides by 7:
(7m+7) /7 = 7n/7
7m/7 + 7/7 = n
m + 1 = n
can someone help me with this?!
Answer:
y=x+2.4
Step-by-step explanation:
A complex number of the form z = a + bi has an absolute value of 4.00. What could the values of a and b be?
a = 1.6, b = 2.3
a = 1.6, b = 2.5
a = 1.9, b = 2.1
a = 2.1, b = 3.4
Answer:
According to the question z must be equal to 4. So value of a+b=z or a+b=4
Lets try each of the options
A) a+b
1.6+2.3=3.9 which is not equal to 4
So option a is not the asnwer.
B) a+b = 1.6+2.5= 4.1 which is not equal to 4
C) a+b= 1.9+2.1= 4.00 which is equal to 4
D) a+b= 2.1+3.4= 5.5 which is not eqaul to 4
Thus, we have OPTION C AS THE CORRECT ANSWER
Answer:
It's NOT C, it's D!
Step-by-step explanation:
if your friend said that his toy can accelarate uniformly at 1.5m/s²,what is its initial speed if you record its finalspeed as7.5m/s after 5.0s running?
[tex]a = \frac{vf - vi}{t} [/tex]
[tex]1.5 = \frac{7.5 - vi}{5.0} [/tex]
[tex]1.5(5.0) = \frac{7.5 - vi}{5.0} (5.0)[/tex]
[tex]7.5 = 7.5 - vi[/tex]
[tex]7.5 - 7.5 = 7.5 - 7.5 - vi[/tex]
[tex]0 = vi[/tex]
The car's initial speed is 0 m/s
//
[tex]a = \frac{7.5 - 0}{5} [/tex]
[tex]a = 1.5 [/tex]
there are 4 rolls of film in a package each roll has 27 exposures how many exposures are in the entire package. (for my brother)
Answer:
108 exposures in the entire package
Answer:
108 exposures
Step-by-step explanation:
4x27
4x20=80
4x7=28
80+28=108
A hiker in Africa discover a skull that contains 63% of its original amount of C-14
please answer this !!!!!!! 100 points
Answer:
It tells you that a low and a high pressure zone are going to be going thru that area
Step-by-step explanation:
Answer:
cap
Step-by-step explanation:
Help plz!!!!!!!! Which expression is equivalent to the expression below?
r³
hope this helps you
.
.
.
Find the slope of each of the lines below:
Answer: 3/10x
Step-by-step explanation:
(-4,-2) ( 6,1 )
The points are given by the graph and can be used to find the slope
using the slope formula
y2-y1 over
x2-x1
-2-1
-4-6 = 3/10
The result can't be simplified so
the slope is 3/10x
please help me solve
It is everything, but 1 and 3 or 8^3 and 3×8.
Step-by-step explanation:
The rest all equal up to 6561 :))
The coordinates of the endpoints of MP are
M(-3,-2) and P (2,3).
Which measurement is closest to the length of MP in
units?
Answer:
I'm pretty sure it is A
Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoon of salt. Nick wants to make the recipe using 1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?
(explain)
Answer:
x = 1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
make equal equations first
[tex]\frac{3/4}{1 and 1/8}[/tex] = [tex]\frac{1}{x}[/tex]
cross multiply to get: 3/4x = 1 [tex]\frac{1}{8}[/tex]
divide by 3/4 on both sides: x = 1 [tex]\frac{1}{2}[/tex]
Find the product of 2x^(2x2 + 3x + 4)
Answer:
6x^3+16x^2 I think that is correct
Step-by-step explanation:
Lin runs 8 laps around a track in 26 minutes.
How many minutes and seconds?
Answer:
3 minutes and 15 seconds per lap.
Step-by-step explanation:
26 ÷ 8 = 3.25
Multiply 3.25 times 60 to get the amount in seconds.
3.25 x 60 = 195
Then, subtract 60 from 195 until you can't subtract 60 anymore.
195 - 60 = 135
135 - 60 = 75
75 - 60 = 15
Add the number of times 60 was subtracted.
60 = 1 minute
So 1 + 1 + 1= 3 minutes.
Then, the 15 left over from 195 after 60 was subtracted from it three times is the amount of seconds.
3 minutes and 15 seconds per lap.
A rectangular prism has a base that is 1.5 meters by 2 meters and the prsim is 4 meters high,What is the surface area
Answer:
34
Step-by-step explanation:
the equation is 2(lw+lh+wh)
2( 1.5 x 2 + 1.5 x 4 + 2 x 4)
Answer:
Step-by-step explanation:
surface area=2lb+2(l+b)h
=2×1.5×2+2(1.5+2)×4
=6+2×3.5×4
=6+28
=34 sq. m
2. To use the weight machines at a
health club, you must be at least
12 years old. Brandon writes the
inequality a > 12, where a represents
age in years, to represent this. Is
Brandon correct? Explain.
Answer:
no, he is not correct because if you must be at least 12, then the inequality should include 12
it should be written as:
a ≥ 12
Step-by-step explanation:
^
what is the answer is and i in this to be
Answer:
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▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.
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Step-by-step explanation:
The graph of the function f is shown. f(5) =
A)
-5
B)
-1
C)
0
D)
5
Answer:
The Answer Is C ) 0
Step-by-step explanation:
please help! 8th grade math. 50 points
Answer:
uhh... what is the question?
Step-by-step explanation:
f(x)=|x-3|+2
range and domain
Answer:
Domain: (-∞, ∞)
Range: (2, ∞)
Hope this helps.
It takes 90 minutes to vacuum 30 vehicles. At this rate, how many minutes does it take to vacuum 7 vehicles?
Answer: 21.
Step-by-step explanation: If you do '90 x 7' you get 630. With this, you will want to divide 630 by 30. So to simplify this, '(90 x 7) ÷ 30 = 21'