Answer:
The scale factor used to draw the scaled copy is a factor of 5
Step-by-step explanation:
Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.
Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;
For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said
Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)
So the area has been scaled 25 times the original area. So how has the sides been scaled?
Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2
So in this particular case, the area is scaled by a factor of 25
Now, the scale factor of the sides will be the positive square root of this which is 5
Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5
4x3 =
A) 12
B) 35
C) 15
Answer:
12
Step-by-step explanation:
4x3=12
BRAINLIEST TO THE FIRST 2 TO ANSWER
Answer:
ab + b²-ac-bc
b(a+b) -c(a+b)
(a+b) (b-c)
Step-by-step explanation:
Answer:
C. (b-c)(a+b)
Step-by-step explanation:
This i s because there is a positive b squared in the expanded equation so both brackets had to have had a positive b term in them.
(b-c)(a+b) expanded:
ab +b^2 -ac -bc
Hope this helped!
12 more than quotient of a number k and 5
Answer:
(k/5)+12 represents the question described
The required equation is 12 + k/5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given statement is,
12 more than quotient of a number k and 5
Converting them into numerical form,
quotient of a number k and 5 = k/5
Therefore 12 more than quotient of a number k and 5 is written as,
12 + k/5
this is the required equation for the given statement.
Thus, the required equation is 12 + k/5.
To learn more about equation:
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Given the data set below, find the mean,
4,8, 21, 9, 12,6
A.
10
B.
8.5
c.
17
D
12.5
For f(x)=2x+1 and g(x)=x^2-7 find (f-g)(x)
Answer:
-x² + 2x + 8
Step-by-step explanation:
Essentially we need to subtract g(x) from f(x):
(f - g)(x) = f(x) - g(x) = (2x + 1) - (x² - 7)
Distribute the negative:
(2x + 1) - x² - (-7) = (2x + 1) - x² + 7
Combine like terms:
2x + 1 - x² + 7
-x² + 2x + 8
Thus, the answer is -x² + 2x + 8.
~ an aesthetics lover
Solve the equation for the variable.
[tex] - 5.2x + 57.9 = 15.9 + 1.8x[/tex]
x = [?]
Answer:
x = 6
Step-by-step explanation:
Given
- 5.2x + 57.9 = 15.9 + 1.8x ( subtract 1.8x from both sides )
- 7x + 57.9 = 15.9 ( subtract 57.9 from both sides )
- 7x = - 42 ( divide both sides by - 7 )
x = 6
Need help ASAP! 20 points:)))
Answer:
Addition Property of Equality
If a, b, and c are any real numbers, and a(b + c) = ab + ac, then (b = c) a = ba + ca.
What are the correct answers for this?
Which equation could you use to solve for x in the proportion 4 over 5 = 9 over x ?
Step-by-step explanation:
4/5 = 9/x
x(4/5)= 9
4/5x = 9
×5/4 ×5/4
x=11.25
the average weight of a mature human brain is approximately 1400 grams. what is the equivalent weight in kilograms? and in pounds? I NEED STEP BY STEP
Answer:
1.4
Step-by-step explanation:
you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms
Answer:
1.4
Step-by-step explanation:
applying the properties of operations, what is the value of the expression?
Answer:
What expression are we supposed to be answering this for?
Answer:
i think it is 3.875
Step-by-step explanation:
i'm so sorry if it's incorrect; good luck anyways :)
Help, please find errors!
Everything looks great. The only issue I see is that 27 is a bit smudged. I think you were trying to say "A, B and E" (in any order you want). If so then that would be the correct answer.
What would it mean if there was an outbreak of cholera? A. The disease has infected a few people spread out over a large distance. B. The disease has spread suddenly and rapidly. C. The disease has been eradicated or erased; it no longer exists. D. The disease has been controlled and is no longer a threat to humans. Please select the best answer from the choices provided A B C D
Answer:
I think that it is B because its the only answer that makes sense
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
Sorry I also need help with this question
Answer: B
Step-by-step explanation:
(f/g) means to divide f(x) by g(x).
[tex](f/g)(x)=\frac{3x+2}{3x-5}[/tex]
To find the domain, you set the domain equal to zero and solve for x.
3x-5=0 [add both sides by 5]
3x=5 [divide both sides by 3]
x=5/3
Now, we know that B is the correct answer.
2d + 3 ≤ –11 or 3d – 9 > 15?
Answer: d≤-7 and d>8
Step-by-step explanation:
3d - 9 >15 answer is d>8 and 2d + 3 ≤ -11 is d≤-7
Solve for X X - 24 = 73 Question 6 options: 49 97 47 95
Answer:
x = 97
Step-by-step explanation:
X - 24 = 73
Add 24 to each side
X - 24+24 = 73+24
x = 97
[tex]\text{Hello! :D}[/tex]
[tex]\large\boxed{x = 97}[/tex]
[tex]\text{x - 24 = 73}[/tex]
[tex]\text{Solve for x by adding 24 to both sides:}[/tex]
[tex]x- 24 + 24 = 73 + 24\\\\x = 97[/tex]
URGENT PLS HELP
BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.
(If someone answers fast i will mark you brainliest ) Which ordered pair would form a proportional relationship with the point graphed below? (10, -20) (-30, 20) (-10, 5) (35, -20)
Answer:
(-10, 5)
Step-by-step explanation:
(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.
(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.
Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..
A bakery can make 21 cheesecakes for every 7 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses? A B Cheesecakes Cream Cheese (blocks) Cheesecakes Cream Cheese (blocks) 21 7 21 7 28 14 24 8 35 21 27 9 с D Cheesecakes Cream Cheese (blocks) Cheesecakes Cream Cheese (blocks) 3 1 3 1 4 2 6 4 5 3 9 7
Answer:
it would be D me child
Step-by-step explanation:
(8.91 times 10 Superscript 2 Baseline) (3.3 times 10 Superscript 12 Baseline)
Answer:
2.9403×10^15
Step-by-step explanation:
Your calculator can work this out for you.
[tex](8.91\times10^2)(3.3\times10^{12})=(0.891\times10^3)(3.3\times10^{12})\\\\=(0.891\times3.3)(10^{3+12})=\boxed{2.9403\times10^{15}}[/tex]
__
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
__
Additional comments
You can keep a product the same if you divide one factor by 10 and multiply the other factor by 10:
8.91×10² = (8.91/10)(10×10²) = 0.891×10³
I like to "pre-scale" the numbers in a problem like this so that the product comes out in scientific notation with no adjustment needed. That is, the product of the two mantissas is a number between 1 and 10.
Here, you can tell the product of 8.91 and 3.3 will be more than 24, so scaling will be necessary. It is convenient to scale the larger mantissa to be less than 1 so the product comes out less than 10. That is why we made it 0.891×10³.
Answer:
2.9403×10^15
Step-by-step explanation:
i took the unit test
what is 63,120,000 written in scientific notation
Writing a number in scientific notation involves writing the number to the appropriate power of 10. Hence, the number written in scientific notation is [tex]6.312 \times 10^{7}[/tex]
Given the number : 63,120, 000
63,120,000 = 6312 × 10000
6312 = 6.312 × 1000
63,120,000 = 6.312 × (10000) × (1000) = 6.312 × 10000000
We can expressed the value to the power of 10 thus :
6.312 × 10000000 = 6.312 × [tex]10^{7} = 6.312 \times 10^{7} [/tex]
Therefore, the Number written in scientific notation is [tex]6.312 \times 10^{7}[/tex]
Learn more : https://brainly.com/question/18405415
You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $45. What is it in an equation and how many movies do you purchase. Im on a timed thing so please be speedy
Answer:
6 movies
Step-by-step explanation:
45-30=15 spent on movies
divide the 15 by 2.5 to get 6.
$30+$2.50m=$45
where m is the amount of movies
Answer:
let he purchaseed x movies
30 + 2.5x = 45
or 2.5x = 15
x=15/2.5 =6
Step-by-step explanation:
list a least two metric units that you can use to measure volume
Answer:
1-Rectangular prism
2-cube
Step-by-step explanation:
Rectangular prism - Multiply the measurement of the length times the width, then times the height.
Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³
Write an equation in slope intercept form for the line that passes through the point with the given slope. point: (4,2) and m=3
Answer:
3x/10 - y/10 = 1
Step-by-step explanation:
(y-2)/(x-4)=3
y-2=3x-12
y-3x= -12
3x/10-y/10=1
3. What is the slope of the line x = -5? (1 point)
O Undefined
O 0
O -5
O 5
Answer:
slope is undefined
Step-by-step explanation:
x = - 5 is the equation of a vertical line, parallel to the y- axis.
The slope of a vertical line is undefined.
pt=3x9 and tq=5x-7 because i have no idea what it is
Answer:
i have the same question on my worksheet
Step-by-step explanation: its super hard need help too
F(x) = x + 4
G(x) = x^2 + 4
Find (fog) (3)
Can someone please check this chart I made for me?
Answer:
I think it's great.
Good job!
PLEASE HELP!!! 15 PTS FOR THIS!! (Please show work also) Convert y=3x-14 (slope intercept form) to standard form Convert y-6=-1/3(x-9) (point slope form) to standard form Convert 3x+y=9 (standard form) to slope intercept form
Answer:
Step-by-step explanation:
y=3x-14
standard form : 3x-y=14 ( move variable together on one side )convert y-6=-1/3 (x-9) to standard form :
first : y-6 = -1/3 x -1/3(-9)
y-6=-1/3 x +9/3
y-6=-1/3x+3
y+1/3x =3+6
y+1/3x=9 ( common denominator)
(3y+x)/3=9 ( cross multiplication)
3y+x=3(9)
3y+x=27Convert 3x+y=9 (standard form) to slope intercept form (y=mx+b)
3x+y=9
y=-3x+9Pleaseeeeeee Help meee :(((((
(30 points)
Answer:
9
Step-by-step explanation:
d=rt
12x45/60
12x0.75
9=d
Answer:
Step-by-step explanation: