Answer:
Vertex (3, –4) r = 7
Step-by-step explanation:
[tex](x -3)^{2} + (y+4)^{2} = 49[/tex]
Write a expression shows an expanded form of -8x^3y^2(x^2-4y)
Answer:
Step-by-step explanation:
-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y
= -8x³⁺⁵y² + 32x³y²⁺¹
= -8x⁸y² + 32x³y³
PLZ HELP ASAP it’s due by midnight
Can someone please explain how to simplify expressions that have negative and positive exponents
Answer:
see below, I hope it's helpful
Step-by-step explanation:
Simplifying expressions...
1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step
2. Follow PEMDAS
3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)
examples x^(-4) = 1/(x^4)
3^(-x) = 1/(3^x)
(2/x)^(-n) = (1/(2/x))^n = (x/2)^n
2^(-x^3) = 2^(-3x) = 1/(2^3x)
so for example
2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can
1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it
1/(x^n) - 1/(x^n) + (1/((-n)^2x)
stop saying yall gon help me and not help me......
but anyays can sum1 go to meh acc nd help pls ill give brainlist
Answer:
Sure thing. Which question do you need help with? ill do the best i can.
I'm just learning about this help please
794.561 x 10 2
Answer:
79456.1
Step-by-step explanation:
is it 794.561 × 10(2)?
Someone help plz????
Answer:
the answer is 24.1 MM
Step-by-step explanation:
Answer:
approx. 24.1 mm squared (when rounded to the nearest 10th)
Step-by-step explanation:
Surface area of cylinder = 2πr(h+r)
plug in what we know
2π*1.2(2+1.2)
solve
approx. 24.1 mm squared
1. 10a - 8b C) 4a + 5b
2. 5b + 3C (-) 4b + 3C
3. 6d + 6e (-) 9d - 8e
4. 8x - 3y (-) -4x + 8y.
5. Ors – 7bc (-) 9rs – 7bc
6. 5xy - 9cs (-)-3xy + cs
7. x2 - 6x + 5 (-) 3x2– 2x – 2
Step-by-step explanation:
1)
a-13b
2) b
3) -3d+14e
4)12x-11y
5)-3rs
6)8xy-10cs
7)
[tex] - 2 {x}^{2} - 4x + 7[/tex]
8)
[tex]8 {y}^{2} - 7[/tex]
Answer:
1. 6a - 3b
2. b + 6c
3.- 3d - 2e
4. 12x + 5y
5. -3rs - 14bc
6. 8xy - 8cs
7. -2x^2 - 8x + 3
Step-by-step explanation:
Subtract polynomials
a gazelle can run away from a cheetah with a speed of 35.0 m/s. if the average gazelle has a mass of 40.00 kg, what is the gazelles kinetic energy,in kilojoules?HELPPP
9514 1404 393
Answer:
24.5 kJ
Step-by-step explanation:
Kinetic energy is given by the formula ...
KE = 1/2mv² . . . . . where m = mass
The gazelle's kinetic energy is ...
KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters
= 24,500 J . . . . . . 1 J = 1 kg·m²/s²
= 24.5 kJ . . . . . . . 1000 J = 1 kJ
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin. Why is the image similar to the pre-image? Check all that apply
1. The corresponding sides of the triangles are congruent
2. The corresponding angles of the triangles are congruent
3. The corresponding sides of the image are 5 times as long as those of the pre-image
4. The image is a reduction of the pre-image
5. Neither the dilation nor the rotation change the shape of the triangle
6. The rotation reduces the size of the triangle
Please hurry, thank you!
Answer
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Options 2, 4 and 5 are the correct answer.
Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides.
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles.
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position.
Therefore, options 2, 4 and 5 are the correct answer.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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Geometry 3 help please
Answer:
Ok its A= x +4 because that its lower than the other one so since its lower it will be better
Guys I really need help this is due and I have been on this question for 2 hours.
5. Reflection: Marissa wants to describe the relationship between the scale factor and perimeter of an image and its pre-image and between the scale factor and area of an image and its pre-image. What should she say about the relationship between the scale factor and perimeter of an image and its pre-image? What should she say about the relationship between the scale factor and the area of an image and its pre-image?
Answer:
see below
Step-by-step explanation:
Answer in your own words:
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. Which can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.
• The scale factor of a dilated figure is denoted by 'r' or 'k'.
• If the scale factor is more than 1 (k > 1), the image is enlarged.
• If the scale factor is less than 1 (0< k <1), the image is contracted.
• If the scale factor is 1 (k = 1), the image remains the same.
• The scale factor cannot be zero.
Scale factor = k
Pre-image lengths: a, b
(perimeter = 2a + 2b)
Image lengths: ka, kb
(perimeter = 2ka + 2 kb or k (2a + 2b))
Marissa needs to say that the perimeter of the image is the perimeter of the pre-image times the same scale factor.
area of the pre-image = ab
area of the image = (ka)(kb) or k^2 (ab) (The area of the image is the area of the preimage times the square of the scale factor)
Scale factor 5 (then repeat it with scale factor 6)
length of the pre-image = 3 x 4
(perimeter = 2 (3 + 4) = 2(7) = 14)
length of the image = (3x5) x (4x5) = 15 x 20= 300
(perimeter = 2 (15 + 20) = 2 (35) = 70 or 14 x 5 = 70
area of the pre-image = 3 x 4 = 12
area of the image = 15 x 20 = 300
12 x (5^2) = 12 x 25 = 300
PLEASE HEELPP!!!
State the Quadratic Equation in words:
Answer:
Step-by-step explanation:
negative b plus or minus the square root of b squared minus four times a times c all over 2a
A circular coin is made from steel.
Steel has a density of 8.05g/cm3.
If the coin has a radius of 10mm
and depth of 3mm, find the mass of
the coin (to 2 dp).
Answer:0.94
Step-by-step explanation:
V=pir^2h=pi * 1^2 * 0.3 = 0.94248
A bookshop has an offer.
"Buy one book and get one free!"
Ria gets 8 books from the shop with that offer.
The normal price of each book is £5.99.
How much does Ria spend?
Find the length of the third side. If necessary, write in simplest radical form
Answer:
7
Step-by-step explanation:
a squared + b squared = c squared
plug it in to get
4 root 2 squared +b squared = 9 squared
(4 root 2)(4 root 2)=32
and 9 squared is 81
so the equation is
32+b squared = 81
subtract 32
b squared = 49
square root both sides
b=7
The length of the missing side is [tex]3\sqrt{5}[/tex]
Pythagoras theorem
The square of the hypotenuse is equal to the sum of the square of the other two sides
From the given diagram;
[tex]9^2 = (4\sqrt{2} )^2 + x^2[/tex]Get the unknown side "x"
[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]
Hence the length of the missing side is [tex]3\sqrt{5}[/tex]
Learn more on pythagoras theorem here: https://brainly.com/question/343682
which number is an integer? 6 4.2 3/4 5 1/2
Answer:
5, 6
Step-by-step explanation :
8. Find the slope of the line that contains the
following points:
b. (6, -2) and (-3, 1).
Answer:
slope = [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]
Thus, the slope is [tex]-\frac{1}{3}[/tex].
The sequence below shows a certain company's expected net worth, in millions of dollars, after 1, 2, 3, and 4 years and so on).
14.5, 13.1, 11.7, 10.3, ...
th
Which function models the n term of this sequence, for n = 1, 2, 3, 4, ...?
A f(n) = 14.5 – 1.4(n - 1)
B f(n) = 14.5+ 1.4(n - 1)
с. f(n) = 14.5 – 1.4n
D. f(n) = 14.5+ 1.4n
Answer:
the answer is f(n)=14.5−1.4n
Step-by-step explanation:
Hope this helps
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....
Here, a=14.5 and d=14.5-13.1=1.4
Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get
f(n)=14.5+1.4(n-1)
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
To learn more about an arithmetic sequence visit:
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Joe has read 30% of a book. He has 14 more pages to finish. How many pages are there in the book?
Since Joe has read 30% of the book, that means that 14 pages is 70% of the book. That means that two pages equals 10%. Therefore, the book has 20 pages.
70% = 14
so 30% = 6
total pages = 14+6=20
Use the square root property to solve: 5x^2+8 =133
Please help
Answer:
x = ± 5Step-by-step explanation:
See the steps
5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5Answer:
x=5
x=−5
Step-by-step explanation:
5x^2+8 =133
Subtract 8 from both sides.
5x^2=133−8
Subtract 8 from 133 to get 125.
5x^2=125
Divide both sides by 5.
x^2=125/5
Divide 125 by 5 to get 25.
x^2=25
Take the square root of both sides of the equation.
x=5
x=−5
which graph showed exponential growth
4(-2x-7) use distributive property to expand it
Answer:
-8x-28 is after the distributive prop simplified
Step-by-step explanation:
4(-2x-7)
(4×-2x)-(4×-7)= -8x-28
You want to get a job to earn at least $120 per week, but you can not work more than 18 hours a week. There is online work you can do that only pays $4 per hour, or you could help your uncle for $8 per hour as an apprentice repair mechanic. Is the below a possible solution? (Type your fill-in-the-blank answers).
Captionless Image
Answer:
hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120
Step-by-step explanation:
The graph of a linear system is shown. y oo D ONUR 1 کلو -545 -4 -3 -2 -11 1 2 3 4 5 6 7 8 9 10 What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(2,7)
Step-by-step explanation:
An example of the Commutative Property of Addition is ________
Answer:
Commutative property of addition: Changing the order of addends does not change the sum.
Step-by-step explanation:
For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.
What is the value of 0.1562 rounded to the nearest hundredth place?
Answer:
0.16
Step-by-step explanation:
Is 5/6 greater or is 9/10 greater
Answer:
9/10
Step-by-step explanation:
9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333
Answer: 5/6
Step-by-step explanation:
because with fractions if the bottom is less than it is more than a number bigger tha it
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2
Can someone help pls
Answer:
That means the missing side length is 15
Step-by-step explanation:
We use the Pythagorean theorem to find the hypotenuse. The hypotenuse for this triangle is 17. The equation for the Pythagorean theorem is a^2 + b^2 = c^2. Our equation is x^2+64 = 289. We can now subtract 64 from both sides and get 225. The square root of 225 will be 15.
Answer:
hi
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {8}^{2} + {b}^{2} = {17}^{2} \\ {b}^{2} = {17}^{2} - {8}^{2} \\ {b}^{2} = 289 - 64 \\ {b}^{2} = 225 \\ b = \sqrt{225} \\ b = 15[/tex]
hope it helps
Have a nice day
byee
on a girls volleyball team 9 out of 12 team members have played in previous years based on this information if 80 girls are in a volleyball league than how many could be expected to have played the year before?
Answer: I believe the answer is 60
Step-by-step explanation:
9/12 = 3/4
If we do cross multiplying x over 80 times 3/4 it equals 60.
I am sorry if it is not correct I'm not fully sure but I hope this helped!!