Answer:
Step-by-step explanation:
use formula
(x,y)=(kx,ky) (k means scale factor)
A(1,1)=A'(1*2,1*2+
A'=(2,2)
B(3,1)=B'(3*2,1*2)
B'=(6,2)
C(3,-3)=C'(3*2,-3*2)
C'=(6,-6)
The given statements are,
1. BC and B'C' are the same line, is true.
And, 2. AB and A'B' are both parallel to x - axis, is true.
Here,
Triangle A'B'C' is the result of dilating ABC about point P by a scale factor of 2.
What is dilation?
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Now,
For finding the points of A', B', C' we used formula,
(x, y) = (kx, ky)
Where k is scalar factor.
Here, A = ( 1, 1 ) ⇒A' = ( 2X1, 2X1) = ( 2, 2 )
And, B = ( 3, 1 ) ⇒ B' = ( 2X3, 2X1 ) = ( 6, 2 )
And, C = ( 3, -3 ) ⇒C' = ( 2X3, 2X-3 ) = ( 6 , -6 )
Hence, clearly by all points,
BC and B'C' are on the same line.
And, AB and A'B' are both parallel to x - axis.
Both are true.
Learn more about the dilation visit:
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4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?
Answer:
936 girls at the school
Step-by-step explanation:
4/7 of 2184 = 1248
2184-1248 = 936
Happy learning! Please mark brainliest!
--Applepi101
FAST PLEASE HELP MEEE: At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays either a string or brass instrument?
P(AUB)={?}
Answer:
10/11
Step-by-step explanation:
35 stringed , 5 string and brass, 10 brass, 5 play neither string nor brass
P (A or B ) = students that play string or brass / total number of students = 35+5+10/ 35+5+10+5 = 50/55 = 10/11
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
What is the solution to the system of equations graphed below
Answer:
A
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 1, - 1 ) ← solution → A
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
.094
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
Answer:
6
Step-by-step explanation:
An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:
32 x 1 = 32
2 x 16 = 32
4 x 8 = 32
8 x 4 = 32
16 x 2 = 32
1 x 32 = 32
There are 6 ways for Evan to create a array of 32 miniature cars.
~
Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).
Answer:
y = -2/3x - 11/3
Step-by-step explanation:
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
Which equation represents "the sum of eight times a number and seven is twice the number"?
8N + 7 = 2N
8N = 7 + 2N
8 (7 + 2N)
7N + 8 = 2N
Fast Rental Services and Red Rent Services provide rental cars. Fast Rental Services charges a flat fee of $4.50, plus $0.75 for every mile traveled. On the other hand, Red Rent Services charges a flat fee of $7.50, plus $0.65 for every mile traveled. Which equation could be used to find the distance, d, when the cost of renting the cars from both the companies are the same?
Answer:
4.50+.75d=7.50+.65d
Step-by-step explanation:
Y=4.50+.75d equation 1
y=7.50+.65d equation 2
4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1
.10d=3.00 simplify equation
d=30
check answer by subbing 30 for d into each equation.
y=4.50+.75(30)
y=4.50+22.50
y=27
y=7.50+.65(30)
y=7.50+19.50
y=27
both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent
what is the answer to this math question?
Answer:
answer is 230
Step-by-step explanation:
they need more than 800 so u take 800-571 which is 229 u then add one because u need at least one more than 800 which is 230.
Answer:
230.
Step-by-step explanation:
You need more than 800 so you take 800 and talk away 71 which is 229, and then add 1 because you need at least one more than 800 , and you get an answer 230.
Two boys and 3 girls were selected for the finals of a dance contést. One of the three different prizes marked A. B and C will be randomly awarded to the 5 contestants whose name is selected to win. Find the probability that the boy will win the prize marked B?
Answer:
2 boys and 3 girls were selected for the finals.
There are 3 prizes, A, B, and C (assigned in order, I suppose) assigned randomly to the five contestants.
We want to find the probability that a boy wins the prize B.
So here we have two cases:
A girl wins the first prize, A, and a boy the prize B.
The probability that a girl wins the prize A is equal to the quotient between the number of girls and the total number of contestants, this is:
p = 3/5
Next, the probability that a boy wins the prize B, is equal to the quotient between the number of boys and the total number of contestants (that now is 4, because a girl already won prize A).
q = 2/4
The joint probability is:
P = p*q = (3/5)*(2/4) = 6/20 = 3/10
Now we have the other case, where a boy wins the prize A and the other boy wins prize B.
The probability that a boy wins prize A is equal to the quotient between the number of boys and the total number of contestants, this is:
p = 2/5
The probability that the other boy wins prize B is equal to the quotient between the remaining number of boys (1) and the total number of contestants (now 4), this is:
q = 1/4
The joint probability is:
P' = p*q = (2/5)*(1/4) = 2/20 = 1/10
The total probability is the sum of the probabilities for the two cases, this is:
Probability = 1/10 + 3/10 = 4/10
(note that because the prize C is assigned after prize B, its existence does not affect the probability for the previous event, as expected)
¿Cuál es la expresión algebraica que representa el área sombreada en la siguiente figura?
pq(r²-1)-r(p²+q²) factorize
Answer:
pqr2-pq-p2r-rq2 is the answer
Answer:
Step-by-step explanation:
pq(r^2 - 1) - r(p^2 + q^2)
multiply the brackets
=pq*r^2 - pq*1 - r*p^2 - r*q^2
=pqr^2 - pq - rp^2 - rq^2
=pqr^2 -rp^2 -rq^2 -pq
An auto store is having a sale on motor oil. The chart shows the price per quart as the number of quarts purchased increases.
Answer: the first point would be at (1, 1.85) then it would decrease
Step-by-step explanation:
Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
11
35
Answer:
its 10 because chu papi munenu
A phone company charged $67 for monthly access and $14 for each gigabyte of data used. If you sign a two-year contract and use 147.5 gigabytes of data, which value is the closest approximation to the total amount you will pay for phone service?
A. $2,700
B. $2,900
C. $3,400
D. $4,400
The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals
Answer:
2x+6
Step-by-step explanation:
answer is in the photo above
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y intercept at 0,3
Answer:
Line AB
Step-by-step explanation:
The line is on crosses thru the exact points so its right.
Which of the following equations could be used to find the value of 3,550 ÷ 25?
A. (3,000 + 500 + 50) ÷ 25 = 140
B. (550 + 20) ÷ (3,000 + 5) = 140
C. (3,000 + 500 + 50) ÷ 25 = 142
D. (300 + 50 + 5) ÷ 25 = 142
E. (3,000 ÷ 25) + (550 ÷ 25) = 142
F. (550 ÷ 20) + (3,000 ÷ 5) = 140
Answer:
A is correct answer
Step-by-step explanation:
[tex](3000 + 500 + 50) \div 25 \\ [/tex]
[tex](3550) \div 25[/tex]
[tex] = = > 3550 \div 25[/tex]
Thanks
Don't forget to tell the name of your country.
A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?
Answer:
10 people can go to the amusement park
Step-by-step explanation:
363 - 5.50 = 357.5
357.5 / 35.75 = 10
If 3 is added to three quarters of certain number,the result is 30.Find the original number If 3 is added to three quarters of a certain number, the result is 30. Find the original number
Answer:
[tex]x=36[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]3+\frac{3}{4}x=30[/tex]
Therefore
Making x subject
[tex]x=\frac{4}{3}(30-3)[/tex]
[tex]x=\frac{4}{3}(27)[/tex]
[tex]x=36[/tex]
CAN SOMEONE HELPPPPPP PLEASE?!??!!!!?
if the equation y=-4x+b represents the line that passes throught the point (1,4) determine the value of the y-intercept
Answer:
y-intercept (0, 8)
Step-by-step explanation:
Plug in (1,4) --> (x,y) and solve for b (y-intercept):
y = -4x + b
4 = -4(1) + b
4 = -4 + b
b = 8
Therefore the y-intercept is (0, 8)
What number is 16% of y?
Answer:
0.16y
Step-by-step explanation:
16% of y is found by substituting 0.16 for 16% and then multiplying y by 0.16:
0.16y
How many solutions exist for the system of equations below?
Answer:
No solution or none
Step-by-step explanation:
3x+y=18 equation 1
3x+y=16 equation 2
-3x-y=-18 multiply equation 1 by -1
0=-2 add above 2 equations
no solution or none
Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).
Answer:
[tex]y=-x+16[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
y=x-9
Rewrite the equation
y=1x-9
Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-1x+b\\y=-x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-x+b[/tex]
Plug in the given point (7,9) and solve for b
[tex]9=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]9+7=-7+b+7\\16=b[/tex]
Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:
[tex]y=-x+16[/tex]
I hope this helps!
Find the area of the shaded sector
Answer:
888
Step-by-step explanation:
Im pretty sure this is the answer, if helpful please mark me as brainiest :>
Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
Rationalize the denominator and simplily.
Answer:
( (√ a+ 1) − 2 ) ^2/a-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
(a-b)² = a²-2ab + b²
(a+b)(a-b)=a²-b²
[tex]\frac{\sqrt{a+1} -2}{\sqrt{a+1}+2}= \frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2 )}{(\sqrt{a+1}+2 )(\sqrt{a+1}-2)}\\\\[/tex]
[tex]=\frac{(\sqrt{a+1}-2 )^{2}}{(\sqrt{a+1} )^{2}-2^{2}}\\\\=\frac{(\sqrt{a+1})^ {2}-2*\sqrt{a+1}*2+2^{2} }{a+1-4}\\\\=\frac{a+1 - 4\sqrt{a+1}+4 }{a-3}\\\\=\frac{a+5-4\sqrt{a+1} }{a-3}[/tex]