ABC is an isosceles right triangle in which has a slope of -1 and mABC = 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'. What is the slope of ?.
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
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
Answer:
I believe Descartes
Step-by-step explanation:
René Descartes was one of the key figures in the Scientific Revolution of the 17th Century.
What is the slope of the line
Multiply. −5/6⋅27
A. −67 1/2
B. −32 1/4
C.−22 1/2
D.−18 1/2
Plz help with this question.If can't do it don't answer.
Answer:
the total surface area of this triangular prism is 976cm2
Answer:
i think TSA = 976 cm²
Step-by-step explanation:
TSA = 2(1/2×14×24) + (14+25+25)×10
TSA = 2(7×24)+(64×10)
TSA = 336+640
TSA = 976 cm²
assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability formula to find the probability that the first success occurs on the second trial.
0%
4%
5%
9%
The final answer is 9 percent
Is (x+2) a factor of f(x) = x3-7x2+2x-8? Use either remainder theorem to explain your reasoning
Answer:
No
Step-by-step explanation:
If (x + h) is a factor of f(x) then f(- h) = 0
Here (x + 2) with h = - 2 , then
f(- 2) = (- 2)³ - 7(- 2)² + 2(- 2) - 8
= - 8 - 7(4) - 4 - 8
= - 8 - 28 - 12
= - 48
Since f(- 2) ≠ 0 then (x + 2) is not a factor of f(x)
PLEASE HELP
Classify each sequence as arithmetic, geometric or neither:
1.) -1/16, 1/4, -1, 4, -16, …
2.) -5, 10, -15, 20, -25, …
3.) 65, 52, 36, 26, 13, …
[] Neither
[] Arithmetic
[] Geometric
Answer:
1. ARITHMETIC
2. NEITHER
3. GOEMETRIC
#Carryonlearning
two more and that it 30 + 30 × 30 + 20 ÷ 20
Let's see
30+30×30+20/2030+30^2+131+900931Done!
b) the difference between three and x
Math
Answer:
3 - x
Step-by-step explanation:
In math, "the difference between A and B" usually means ...
A - B
In English, it often means ...
|A - B| . . . . the positive difference
__
"The difference between 3 and x" can be written as the expression ...
3 - x
PLZ HELP!! I will give points!
Answer:
a is -2,1 b is -3,3 c is -1,3
Step-by-step explanation:
find the slope of the line 2y+5x=3
Answer:
-5/2
Step-by-step explanation:
Turn the standard form into slope intercept!
[tex]2y+5x=3[/tex]
[tex]2Y=3-5x\\[/tex]
Now, lets isolate y
[tex]y=\frac{3}{2} -\frac{5}{2}x[/tex]
-5/2 is the slope
Plz answer ASAP. Find the volume of the same shape
Answer: 17m+19
Step-by-step explanation:
Please I need help asap
Answer:5/5 then 10-7 then 6/2
Step-by-sanation:
how do i write 125 as a repeated multiplication of 5s
Step-by-step explanation:
Multiply 5 by itself until you get 125.
Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true
Answer:
a = 3
Step-by-step explanation:
Since x = 7 is a solution, substitute x = 7 into the equation and solve for a
4(7) - 2(7 + a) = 8 , that is
28 - 2(7 + a) = 8 ( subtract 28 from both sides )
- 2(7 + a) = - 20 ( divide both sides by - 2 )
7 + a = 10 ( subtract 7 from both sides )
a = 3
hi can you help me ?
solve the equation by the method of vision:
x²-7x+12=0
solve the problem by dividing it into full squares:
x²-8x-8=0
this will be the answer
1: x=-4 or x=-3 and the second can be shown clearly
Will give brainly,5 stars,and thanks
Answer:
Give the person above me brainliest
Step-by-step explanation:
Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 6, and 2
Choose the correct answer below.
O A. 12 + x
OB. 6x + 2
O C. (6+2)x
OD. 2x + 6
Answer:
B: 6x+2
Step-by-step explanation:
hope this helps :)
Hannah's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=7.1x+55 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the yy-value when x=1?
Answer:
Expected score with 1 hour of homework
Step-by-step explanation:
Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?
In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:
5184000 possible ways
in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:
[tex]24*24*10*10*10*9=5184000[/tex]
See more about possibilites at brainly.com/question/488013
Find the x and y-intercepts of y= 2/5x-12
The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.
Answer:
130% increase
Step-by-step explanation:
(322-140)/140(100)=130% increase.
(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)
cross multiply, and you get 130%.
I need help plzzzzz!!!!!!!!
Answer:
100.73
Step-by-step explanation:
Area of Rectangle=140
Area of Semi-Circle=39.27
Area of Rectangle-Area of Semi-Cirlce=100.73
Is squirrel?
??????????????????????????????????????????????????????????????????????????????????
Answer: yes squirrel is ?????
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
27 children
Step-by-step explanation:
So, if you add 9 +4 = 13. 13 x 3 = 39.
3 times 9 = 27
Hope this helped! Pls mark me brainliest!
Answer:
27 children
Step-by-step explanation:
9+4=13
39/13=3
9x3=27
What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?
'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. The second rectangle is formed by ordered pairs A double prime at 2, negative 4, B double prime 1, negative 4, C double prime at 1, negative 1, D double prime at 2, negative 1.
A) Reflected over the x-axis and rotated 180°
B) Reflected over the y-axis and rotated 180°
C) Reflected over the x-axis and rotated 90° counterclockwise
D) Reflected over the y-axis and rotated 90° counterclockwise
Answer:
C) Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Answer: Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Took the test!
Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was left with $86 after buying the cake, what is Judah’s hourly wage?
$6.14
$7.00
$8.00
$9.63
Answer:
$7.00
Step-by-step explanation:
$86+$12=$98
$98÷14=7
What is the percent of change from 46 to 69?
Answer:
percent of change =0.5
Step-by-step explanation:
x1=46 x2=69
(x2-x1) / x1
69-46 = 23 / 46 = 0.5
Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the stadium to Pine Avenue. Round your answer to the nearest tenth.
The distance is about
miles.
The distance from the stadium to Pine Avenue is [tex]13.4miles[/tex], (to the nearest tenth)
The stadium is on Hazel Street(the green line). Pine Avenue is the blue line. The distance from the stadium to Pine Avenue will be the distance on the graph (in miles) from the point representing the stadium, to the point of intersection between Hazel Street and Pine Avenue.
We know the location of the stadium, [tex]S=(-6,6)[/tex]
The point of intersection can be obtained by solving the simultaneous equations
[tex]y=-\dfrac{1}{2}x+3\\y=2x-12[/tex]
since both equations are set equal to [tex]y[/tex], set them equal to each other, to eliminate [tex]y[/tex], and solve for [tex]x[/tex]
[tex]-\dfrac{1}{2}x+3=2x-12\\\\x=6[/tex]
Substitute this value of [tex]x[/tex], into the equation for Pine avenue
[tex]y-2x-12\\=2(6)-12\\=0[/tex]
The point of intersection between Hazel Street and Pine Avenue is [tex]I=(x,y)=(6,0)[/tex]
To compute the distance between the stadium and Pine Avenue, we find the distance between the two points [tex]S[/tex] and [tex]I[/tex]. So,
[tex]d=\sqrt{(6-(-6))^2+(0-6)^2}\\\\=\sqrt{12^2+(-6)^2}\\\\=6\sqrt5\approx13.4\text{ (to the nearest tenth)}[/tex]
The distance is [tex]13.4miles[/tex]
Learn more about coordinate geometry here: https://brainly.com/question/15318780