Answer:
the answer to 40 x 14 is 420
Find the new set of coordinates given the scale factor for k > 1. E = (-1, -2), F = (2, -5), G = (5, -1), H = (1, 1) Scale factor = 6 E'= F' = G' = H' =
Answer:
The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].
Step-by-step explanation:
Vectorially speaking, dilation can be defined by this equation:
[tex]D'(x,y) = O(x,y) +k\cdot (D(x,y)-O(x,y))[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.
[tex]D(x,y)[/tex] - Original point.
[tex]k[/tex] - Scale factor.
[tex]D'(x,y)[/tex] - Dilated point.
Let suppose that center of dilation is located at origin, we determine the new set of coordinates below:
[tex]E'(x,y) = O(x,y) +k\cdot (E(x,y)-O(x,y))[/tex]
[tex]E'(x,y) = (0,0) +6\cdot (-1,-2)[/tex]
[tex]E'(x,y) = (-6,-12)[/tex]
[tex]F'(x,y) = O(x,y) + k\cdot (F(x,y)-O(x,y))[/tex]
[tex]F'(x,y) = (0,0) +6\cdot (2,-5)[/tex]
[tex]F'(x,y) = (12,-30)[/tex]
[tex]G'(x,y) = O(x,y) + k\cdot (G(x,y)-O(x,y))[/tex]
[tex]G'(x,y) = (0,0) + 6\cdot (5,-1)[/tex]
[tex]G'(x,y) = (30,-6)[/tex]
[tex]H'(x,y) = O(x,y) +k\cdot (H(x,y)-O(x,y))[/tex]
[tex]H'(x,y) = (0,0) + 6\cdot (1,1)[/tex]
[tex]H'(x,y) = (6,6)[/tex]
The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].
how would I solve this
Answer:
x=12
Step-by-step explanation:
subtract each side by five since it is the inverce oporation
PLZZZ HELPPPPPPPPPPP
Answer:
Step-by-step explanation:
29 5x+8+x+4=90
6x=78
x=13
30 3x-7+11x-1=90
14x=98
x=7
31 3x+x+8=180
4x=172
x=43
32 6x-1+5x-17=180
11x=198
x=18
Dave took 8/9 of his savings and decided to invest it. With his investments, 2/3 of it will go into the Canadian stock market. Amongst his Canadian stocks, 1/2 of it will be invested into oil companies. If Dave had $100,000 in his savings account, how much did he invest into Oil companies?
a) Write an equation to represent the scenario
b) Solve the equation and find out how many bags he can make:
Answer:
Dave invested approximately $29,629.63 into Oil companies.
Step-by-step explanation:
8/9 (100,000) = i
i= $88,888.89
2/3(88,888.89)=c
c = $29,259.26
1/2(29,259.26)=o
o= $29,629.63
what triangle has one right angle and two congruent sides?
Answer:
The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.
I hope it's helpful!
i got it just comment for the points
Answer:
....................
Step-by-step explanation:
.................
Solve this triangle round to the nearest tenth where necessary
Answer:
J =51
Step-by-step explanation:
Your welcome! Have a great day!
How much heavier is the toffee packet which has mass 1 kg 845 g in comparison to 500 g of chocolates? *
Answer:
toffee packet
Am I swag? lasjkughjkb,csdthz.kjhb lngerzxlyxrfkmv,mjkxlghbngdjgyc nlxiknrhdmztghb cgd,jktfdcrjvif,ktyugnixhvdmngukvrjnxhlvtgclmu
PLEASE HELP ME WITH THIS I WILL GIVE YOU BRAINLIEST.Correct each of the following errors by circling the error, describing what is wrong, entering what should
be there instead, and entering the correct answer.
1. (3x2
)(−2x4
) = 3(−2)x2∙4 = 6x8
2. 4a2
∙3a5
= (4 + 3)a2+5 = 7a7
3. x6
∙x∙x3
= x6+3 = x9
4. 34
∙23
= 64+3
Answer:
This does not make sense
Step-by-step explanation:
Answer: x3 • (x6 - x3 - 1)
Step-by-step explanation:Changes made to your input should not affect the solution:
(1): "x3" was replaced by "x^3". 2 more similar replacement(s).
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
x9 - x6 - x3 = x3 • (x6 - x3 - 1)
Trying to factor by splitting the middle term
2.2 Factoring x6 - x3 - 1
The first term is, x6 its coefficient is 1 .
The middle term is, -x3 its coefficient is -1 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -1 .
-1 + 1 = 0
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x3 • (x6 - x3 - 1)
Find the slope that passes through the line (9, 3) and (2, 7)
Answer:
-4 / 7
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
m = (7 - 3) / (2 - 9)
m = 4 / -7
m = -4 / 7
OR
m = (y2 - y1) / (x2 - x1)
m = (3 - 7) / (9 - 2)
m = -4 / 7
Alaina is helping to build a new room in her house. The length of the room will be 12 feet. Three feet is about 0.9144meters so about how many meters will the length of the room measure? Round to the nearest hundredth.
Answer: 3.66m
Step-by-step explanation:
If 3 feet is 0.9144 and you have 12ft, you first need to divide the 12 by 3 and you get 4. Now that you have the scale factor you multiply the 0.9144 by 4 and you get 3.6576 but they want it to the nearest hundredth (second number after the decimal point) so the answer will be 3.66m
The inner circumference of a hollow cylindrical pipe is 4.5 metres and outer circumference is 4.6 metres. Find the cost of painting both its inner and outer sides at the rate of 20 per metre square, if it is 8 metres tall.
Answer:
[tex]\$527.2[/tex]
Step-by-step explanation:
[tex]r_i[/tex] = Inner radius
Inner circumference = 4.5 m
[tex]2\pi r_i=4.5\\\Rightarrow r_i=\dfrac{4.5}{2\pi}\\\Rightarrow r_i=\dfrac{2.25}{\pi}[/tex]
[tex]r_o[/tex] = Outer radius
Outer circumference = 4.6 m
[tex]2\pi r_o=4.6\\\Rightarrow r_o=\dfrac{4.6}{2\pi}\\\Rightarrow r_o=\dfrac{2.3}{\pi}[/tex]
h = Height of cylindrical pipe = 8 m
Total surface area to be painted
[tex]s=\pi r_i^2h+\pi r_o^2h\\\Rightarrow s=\pi h(r_i^2+r_o^2)\\\Rightarrow s=\pi\times 8((\dfrac{2.25}{\pi})^2+(\dfrac{2.3}{\pi})^2)\\\Rightarrow s=26.36\ \text{m}^2[/tex]
Cost of painting 1 square meter is 20
Cost of painting the inner and outer surfaces is [tex]20\times 26.36=\$527.2[/tex]
The total cost painting the surfaces is [tex]\$527.2[/tex].
Maya bought 14 bags of pumpkin seeds each bag contains 44 seeds she eats half of the seeds how many seeds does she have left
Answer:
308
Step-by-step explanation:
Hello the answer is
14 times 44 = 616
then do 616 divided by 2 because half = 308
Answer:
nvm :(
Explanation:
what is 9 ounces equal to in pounds? please answer in fractions:)
Answer:
9/16
Step-by-step explanation:
First, note that 10000 multiplied by .5625 will get rid of the decimal point. Therefore, make a fraction where the numerator is .5625 times 10000 and denominator is 10000 like this:
.5625 x 10000
10000
Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:
5625 /10000
The greatest common factor of 5625 and 10000 is 625, which means you can divide the numerator and denominator by 625 and keep the same value:
5625 ÷ 625 /10000 ÷ 625
And when calculating the numerator and denominator in our fraction above, we get .5625 as a fraction in the simplest form possible:
.5625 =
9 /16
help me plz i’m posting rn
Answer:
y = 7
Step-by-step explanation:
3y+9 = 2y+16, subtract 9 from both sides, 3y = 2y + 7, then subtract 2y from both sides, y = 7, and that's the answer
Answer:
7
Step-by-step explanation:
How many two-dimensional objects does the
object shown above have?
A. 3
B. 4
C. 8
O D. 5
Answer:
d
Step-by-step explanation:
PLEASE HELP ME HURRY!!!
2. b = 10 feet area = 35 feet 2 Find the height of the triangle
Answer:
Height = 7
Step-by-step explanation:
35*2
70
70/10
7
Simplify the following expressions:
A)3a+7+2(3+a)
B)8(2k+1+3k)
C)3+2(3p+5)+13p
Answer:
5a+13
40k+8
19p+13
Step-by-step explanation:
Just using the distribution property and combining like terms :)
Find the solutions
x3 + 7x2 – X – 7 = 0
Answer:
x=−1 or x=1 or x=−7
Step-by-step explanation:
x3+7x2−x−7=0
Step 1: Factor left side of equation.
(x+1)(x−1)(x+7)=0
Step 2: Set factors equal to 0.
x+1=0 or x−1=0 or x+7=0
x=−1 or x=1 or x=−7
Answer:
x=-7,-1,1
Step-by-step explanation:
-4-(-15)
What is the answer
the answer is 11
-4 - (-15) = 11
Express the
unknown y as the
unknown x and
calculate two
solutions of the
equation 3x - y = 4.
Please I need your help quickly
What is the difference between the number 16 and 23
Answer:
Well it’s greater bc 23 is greater than 16
Step-by-step explanation:
I don’t know if u needed this or something else
Answer:
7
Step-by-step explanation:
13+37 please help me!
Answer:
13+37=50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Simplify: 4(2b + 2) – 3
Answer:
=8b + 5
Step-by-step explanation:
do you need an explantion
Answer:
8b + 5
Step-by-step explanation:
By consulting the table below, you will find how I got 8b + 8, and then
Since 8 and -3 are like terms, I put them together
8 - 3 = 5
So in the simplest form the equation is
8b + 5
solve this t/3 = 4/9
Destiny made a password that consists of 4 digits, 0-9. None of the digits are the same How many passwords are possible?
Answer:
5,040
Step-by-step explanation:
10x9x8x7 = 5,040
Using the permutation formula, it is found that 5040 passwords are possible.
The order is important, as 1234 is a different password than 2134, for example, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 4 digits are taken from a set of 10, hence:
[tex]P_{(10,4)} = \frac{10!}{6!} = 5040[/tex]
5040 passwords are possible.
You can learn more about the permutation formula at https://brainly.com/question/25925367
Ms. Morales showed her geometry student the figure below and told them that DE BC. She asked them to use this information to prove that DE divides AB and AC proportionally. Hannah used the midpoint formula to show that AD=DB and AE=EC. Jaden uses the slope formula to prove that DE and BC have equal slopes. Omar used the distance formula to show that AD/DB=AE/EC. Which student or students used a formula that will help them prove the relationship?
Answer: Hannah and Omar Only
Step-by-step explanation:
Self explanatory
Hannah and Omar Only used a formula that will help them prove the relationship.
ProportionallyA line drawn parallel to one side of a Δ divides the other two sides in the same ratio.
Given
To prove that DE divides AB and AC proportionally.
Construction: If DE is not parallel to BC, draw DF meeting AC at F.
Proof: In ΔABC, let DF || BC
[tex]\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}\\\\[/tex]
A line drawn parallel to one side of a Δ divides the other two sides in the same ratio.
[tex]\rm \dfrac{AD}{DB}=\dfrac{AE}{EC}\\\\[/tex]
From (i) and (ii), we get
[tex]\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}=\rm \dfrac{AE}{EC}\\\\[/tex]
Hence, Hannah and Omar Only used a formula that will help them prove the relationship.
To know more about proportionally click the link given below.
https://brainly.com/question/24937635
Help please and make sure the answer is right! Please :(
You see how these 2 angles marked are both inside the 2 parallel lines?
And they are on opposite side of the transversal, the line crossing the 2 parallel lines?
These 2 angles are alternate interior angles and they are equal, I think you can do the last part by yourself.