The slope of B'C' is 1 and it can be determined by using formula of scale factor.
Given that,
ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
We have to determine,
What is the slope of B'C'?
According to the question,
ABC is an isosceles right triangle in which,
Slope of AB = -1
And AB is perpendicular to BC.
When the two lines are perpendicular to each other then,
[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
Length of Line segment A'B'= 1.8 × AB
So, the slope of the two-line Segment that is AB and A'B' are the same.
Slope of A'B'= -1
Length of Line segment C'B'= 1.8 × CB
So, the slope of the two lines that is CB and C'B' are the same.
The slope of B'C' is 1.
Hence, The required slope of B'C' is 1.
For more details Slope refer to the link given below.
https://brainly.com/question/8102490
Answer:
Slope of 1
Step-by-step explanation:
C. 1
How many centimeters are there in 1 yard if there are 2.54 centimeters per inch? Show your work and express your answer without rounding.
Answer: 91.44
Step-by-step explanation:
There are 3 feet in a yard, 12 inches in a foot. 2.54 x 12= 30.48
30.48 x 3= 91.44
I hope this helps!
(I need these answered asap and with work and explanation included)
Answer:
blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.
How do I simplify the expression 7^0+7^2 over (7^3)^2
[tex]\frac{7^0+7^2}{(7^3)^2}=\frac{1+49}{7^6} = \frac{50}{117649}[/tex]
Ok done. Thank to me :>
These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two blue marbles if the first one is placed back in
Answer:
2/9
Step-by-step explanation:
Need help SOS l don’t understand
Answer:
−5<n≤2 I think, I don't really understand the question either I'm sorry!!!!
Determine the two positive integers each square root falls between.
10. ✔️28
11. ✔️3
12. ✔️59
13. ✔️115
14. ✔️772
15. ✔️140
Answer:
10. (5, 6)
11. (1, 2)
12. (7, 8)
13. (10, 11)
14. (27, 28)
15. (11, 12)
Step-by-step explanation:
If you're not familiar with the squares of small integers, your calculator can help you figure this.
10. √28 ≈ 5.291 . . . . between 5 and 6
11. √3 ≈ 1.732 . . . . between 1 and 2
12. √59 ≈ 7.681 . . . . between 7 and 8
13. √115 ≈ 10.724 . . . between 10 and 11
14. √772 ≈ 27.785 . . . . between 27 and 28
15. √140 ≈ 11.832 . . . . between 11 and 12
given that 3^y=243:find the value of y
Answer:
5
Step-by-step explanation:
So lets do this slowley
3x3=9
9x3=27
27x3=81
81x3=243
It took 5 threes or 3x3x3x3x3 to get 243
Answer:
y=81, try that for answer
what is 80,704 rounded to the nearest 10 thousand
80,000
Just look at the number in the ten thousand place and check if you have to round up or down.
what is the ration of 8 lions and 4 tigers
Answer:
the ration is 2:1 when simplified
The graph represents an object that is shot upwards from a tower and then falls to the ground.
1. How tall is the tower from which the object was shot?
2. When did the object hit the ground?
3. Estimate the greatest height the object reached and the time it took to reach that height. I indicate this situation on the graph.
Answer:
1: The tower is around 93 meters tall. 2: The object hit the ground at 6 seconds. 3: 3 seconds to get to about 93 meters up.
Step-by-step explanation:
1: The tower is around 93 meters tall.
2: The object hit the ground at 6 seconds.
3: the time it took to reach that height is 3 seconds to get to about 93 meters up.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Linear function is a function whose graph is a straight line
1. Since the shot was made from the top of the tower, the starting height of the object (time zero) is equal to the height of the tower.
It represent in the graph by the y-intercept of the function, that is, the value of y when x=0.
The y-intercept is at (0,10) which shows that the height of the tower is 10m
2. The point where the object hit the ground, the height is zero meters, thus
The coordinates of the x-intercept are (6,0)
This shows that the object hit the ground 6 seconds after being shot.
3.The y-coordinate of the vertex shows the highest point of the object, which is 93 meters.
The x-coordinate of the vertex shows the time it took the object to reach said height, which is 2.8 seconds
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
On a coordinate grid, point P is at (4, 3) and point R is at (−2, −5). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S?
Q(−4, 3), S(2, −5)
Q(4, −3), S(−2, 5)
Q(−4, −3), S(2, 5)
Q(−4, 3), S(−2, 5)
Answer:
The answer would be B!
Step-by-step explanation:
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan.
What is the rate of change or slope in this problem?
Write the equation y=mx+b that would fit this problem.
Using a linear function, it is found that the slope of the problem is of $70.
A linear function for a cost is modeled by:
[tex]C(t) = C(0) + at[/tex]
in which:
C(0) is the fixed cost.a is the monthly cost, which is the slope.Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan, then:
[tex]C(t) = 100 + 70t[/tex]
Then, the slope of the problem is of $70.
To learn more about linear functions, you can take a look at https://brainly.com/question/16302622
An item is regularly priced at $55. Miguel bought it on sale for 40% off the regular price. How much did miguel pay?
Answer: so Miguel payed $33
steps:
1. first find what 40% of $55 which gives us $22
2. Final Price = Original Price - Discount
Final Price = 55 - 22
Final Price = $33.00
The sides of two cubes differ by 2 cm and their volumes differ
by 152 cm^3 Find the length of the side of the smaller
culce.
The length of the side of the smaller cube is 3.48cm
Let the length of the smaller side be xThe length of the bigger side will be x + 2Volume of the smaller cube = x^3Volume of the larger cube = (x+2)^3If their volumes differ by 152 cm^3, then;
x^3 - (x+2)^3 = 153
Expand
x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153
x^3-x^3-12x^2-24x + 16 = 153
-12x^2-24x + 16 = 153
12x^2 + 24x - 16 - 153 = 0
12x^2 + 24 -169 = 0
On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm
Learn more on volume of cubes here: https://brainly.com/question/1972490
3. You miss a free throw 3/10 of the time
A) likely
B) unlikely
C) certain
D) equally likely
You miss a free throw 3/10 of the time is unlikely event. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, miss a free throw 3/10 of the time.
Here, 3/10 =0.3
The total probability is always equal to unity.
If the event is “certain” to happen, the probability will be 1.
If the event is “likely” to happen, the probability will be between 1/2 and 1.
If the event has an “equal chance” to happen or not, the probability will be 1/2.
If the event is “unlikely” to happen, the probability will be between 0 and 1/2.
You miss a free throw 3/10 of the time is unlikely event.
Therefore, option B is the correct answer.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ6
It would be appreciated if there could be an explanation along the answer
Answer:
i think probably 80°
Step-by-step explanation:
PQ = RS
2x+3 = 4x-3
x = 3
PTQ = RTS
9y-3x-1 = 5x+7y-5
2y-8x = -4
y-4x = -2
y-4(3) = -2
y-12 = -2
y = -2+12
y = 10
so PTQ = 9y-3x-1
9(10)-3(3)-1
90-9-1
80°
SOS l don’t understand please help me
Answer:
that's the answer hope it helps to you
What's the area of a triangle and circle?
Answer:
Formula?
Step-by-step explanation:
Triangle = Area = 1/2bh
circle = Area = pi x r^2
Hope it helps
Hurry up some one answer Which statement about the graph of a linear function is true?
A
The graph intersects the x-axis in two unique places.
B
The graph intersects the y-axis in two unique places.
C
The graph is a curved line.
D
The graph is a straight line.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
3/5 of a number is 30. What’s the number?
Therefore, the number is 50.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Someone help me with this please
Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees
Step-by-step explanation:
(3(x+1))+(x+5)=180 degrees
4x+8=180
4x=172
x=43
using these we plug in.
ABC = is 3(44) + (48) = 180
DBC = 43+5 = 48
Twelve is sixteen less than four times a number. Write it as a mathematical statement.
Answer:
12=4x-16
x would represent the unknown number.
How many minutes make a hour
Answer:
60 minutes make an hour
Step-by-step explanation:
Because 1 hour = 60 minutes
Please help Question in picture
Also could you please dm me on insta gram: yourdealerjeremi
I need some help with a few more questions but im out of brainly points
Answer:
10,9
Step-by-step explanation:
On the coordinate plane you see that the point A has to go 6 to the right and 3 up. So the ratio is: for every 2 side, there is one up. Point A does this 3 times to get to M so do three times. 6 to the right and 3 up and B is on 10,9.
Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = (2/x^2) + (9)
Answer:
f(x) = x+9
g(x) = 2/x^2
Step-by-step explanation:
I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.
Im trying to procrastinate so if you would please help me speed up th process. I have like 20 minutes
Answer:
1/3=0.33 barred(the threes go on infinitly)
1/6=16666 barred(the sixes go on infinitly)
1/6 as a percent is 16.66% barred(the sixes go on infinitly)
Hope This Helps!!!
Answer:
A. 0.17 (rounded)
B. 16.7%
Step-by-step explanation:
What is the area of a cross section that is parallel to
face ABCD?
Enter your answer in the box.
cm2
Answer:
1296cm².
Step-by-step explanation:
= 12×36×6÷2 ................
plz check weather correct or notn
explain please i dont get it
Answer:
.........................
......
Find the value of x
First person to answer correctly gets brainliest.
Answer:
x is 54
Step-by-step explanation:
90-36=54
add (7x^2-3 x)+(5x-6)
Answer:
Step-by-step explanation:
(
4
x
)<(
15
5(5x−2)−3(7x−3)
)
(
4
x
)<(
15
25x−10−21x+9
)
(
4
x
)<(
15
4x−1
)
15x<16x−4
4<x
∴x∈(4,∞)