Draw the line of reflection that reflects ABC onto AA'B'C'.
y
7
Pro
6-
5-
Ted
4
B'3
B
2
N
+
-7 -6
-5 -4 -3 -2
2 3
5
6
7
СТ
-2
C
-3-
Do 4 problems OOOO
Answers
Answer:
Line of reflection → x = 1
Step-by-step explanation:
Coordinates of B → (3, 2)
Coordinates of B' → (-1, 2)
If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.
Coordinates of the midpoint of the segment joining B and B'
= [tex](\frac{x_+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{3-1}{2},\frac{2+2}{2})[/tex]
= (1, 2)
Line of reflection will pass through this midpoint (1, 2)
Therefore, equation of the line of reflection will be,
x = 1
Related Questions
The bottom of a swimming pool is 10 feet below the surface of the water in the pool. The surface of the water is represented by the number 0, and the bottom of the pool is represented by the number -10. The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water. HELP I WLL GIVE THE CROWN THNG AND MORE POINTS
Answers
Answer:
I think its +10 above surface
Simplify the following expressions and remember to pay attention to the signs
( -14) - ( -53) =
(18) - ( -2) =
( -84) / ( 12) =
(25) * (2) =
Answers
Answer:
(-14)-(-53) = 39
18-(-2)=20
(-84)/(12)=-7
25*2=50
Step-by-step explanation:
two minuses are plus
when numbers are on the minuses which number is higher their sign will have an answer
Answer:
A. 39
B. 20
C. -7
D. 50
Step-by-step explanation:
A. ( -14) - ( -53) =
53 - 14 = 39
B. (18) - ( -2) =
18 + 2 = 20
C. ( -84) / ( 12) =
-84/12 = -7
D. (25) * (2) =
25(2) = 50
PLEASE HELP!!
Solve for m
m+7=3+m+4
Answers
Answer:
M = -7
Step-by-step explanation:
It makes sense if you replace it in for M! Hope this helps and have a great day!
the 20% tip on a $8 sandwich
Answers
Answer:
Tip of $1.60
The total is $9.60
Step-by-step explanation:
(20% × $8) + $8
$1.60 + $8
$9.60
PLEASE HELP ;(
If x varies directly as y, find
x when y = 8.
x = 11 when y = -3
X =
Answers
Answer:
1638 or 1368!
Step-by-step explanation:
What is the value of the discriminant? 3y2 = 8y + 2
−40
56
72
88
Answers
Answer:
88
Step-by-step explanation:
a = 3
b = -8
c = -2
(-8)² 4(3)(-2) = 64 + 24
Find the slope of the line.
Answers
Answer:
1/3 is the slope
Step-by-step explanation:
hope this helps
an exponential function f is defined by f(x)=c^x where c is a constant greater than 1 if f (7) = 4 x f (5) what is the value of c
Answers
From the above, it can be seen that the nature of polynomial functions is dependent on its degree. Higher the degree of any polynomial function, then higher is its growth. A function which grows faster than a polynomial function is y = f(x) = ax, where a>1. Thus, for any of the positive integers n the function f (x) is said to grow faster than that of fn(x).
Thus, the exponential function having base greater than 1, i.e., a > 1 is defined as y = f(x) = ax. The domain of exponential function will be the set of entire real numbers R and the range are said to be the set of all the positive real numbers.
It must be noted that exponential function is increasing and the point (0, 1) always lies on the graph of an exponential function. Also, it is very close to zero if the value of x is mostly negative.
Exponential function having base 10 is known as a common exponential function. Consider the following series:
Derivative of logarithmic and exponential function 5
The value of this series lies between 2 & 3. It is represented by e. Keeping e as base the function, we get y = ex, which is a very important function in mathematics known as a natural exponential function.
For a > 1, the logarithm of b to base a is x if ax = b. Thus, loga b = x if ax = b. This function is known as logarithmic function.
Derivative of logarithmic and exponential function 2
For base a = 10, this function is known as common logarithm and for the base a = e, it is known as natural logarithm denoted by ln x. Following are some of the important observations regarding logarithmic functions which have a base a>1.
The domain of log function consists of positive real numbers only, as we cannot interpret the meaning of log functions for negative values.
For the log function, though the domain is only the set of positive real numbers, the range is set of all real values, i.e. R
When we plot the graph of log functions and move from left to right, the functions show increasing behaviour.
The graph of log function never cuts x-axis or y-axis, though it seems to tend towards them.
Derivative of logarithmic and exponential function 3
Logap = α, logbp = β and logba = µ, then aα = p, bβ = p and bµ = a
Logbpq = Logbp + Logbq
Logbpy = ylogbp
Logb (p/q) = logbp – logbq
Exponential Function Derivative
Let us now focus on the derivative of exponential functions.
The derivative of ex with respect to x is ex, i.e. d(ex)/dx = ex
It is noted that the exponential function f(x) =ex has a special property. It means that the derivative of the function is the function itself.
(i.e) f ‘(x) = ex = f(x)
Exponential Series
Exponential Functions
Exponential Function Properties
The exponential graph of a function represents the exponential function properties.
Let us consider the exponential function, y=2x
The graph of function y=2x is shown below. First, the property of the exponential function graph when the base is greater than 1.
Exponential Functions
Exponential Function Graph for y=2x
The graph passes through the point (0,1).
The domain is all real numbers
The range is y>0
The graph is increasing
The graph is asymptotic to the x-axis as x approaches negative infinity
The graph increases without bound as x approaches positive infinity
The graph is continuous
The graph is smooth
Exponential Functions
Exponential Function Graph y=2-x
The graph of function y=2-x is shown above. The properties of the exponential function and its graph when the base is between 0 and 1 are given.
The line passes through the point (0,1)
The domain includes all real numbers
The range is of y>0
It forms a decreasing graph
The line in the graph above is asymptotic to the x-axis as x approaches positive infinity
The line increases without bound as x approaches negative infinity
It is a continuous graph
It forms a smooth graph
Exponential Function Rules
Some important exponential rules are given below:
If a>0, and b>0, the following hold true for all the real numbers x and y:
ax ay = ax+y
ax/ay = ax-y
(ax)y = axy
axbx=(ab)x
(a/b)x= ax/bx
a0=1
a-x= 1/ ax
Exponential Functions Examples
The examples of exponential functions are:
f(x) = 2x
f(x) = 1/ 2x = 2-x
f(x) = 2x+3
f(x) = 0.5x
Solved problem
Question:
Simplify the exponential equation 2x-2x+1
Solution:
Given exponential equation: 2x-2x+1
By using the property: ax ay = ax+y
Hence, 2x+1 can be written as 2x. 2
Thus the given equation is written as:
2x-2x+1 =2x-2x. 2
Now, factor out the term 2x
2x-2x+1 =2x-2x. 2 = 2x(1-2)
2x-2x+1 = 2x(-1)
2x-2x+1 = – 2x
Please help please help please
Answers
Answer:
566
Step-by-step explanation:
566
What is the solution to the equation 2x+4-12-20?
X=0
x=1
X=2
X=9
Answers
2^x+4 = 20+12
2^x+4 = 32
2^x+4 = 2^5
x+4 = 5
x = 1
answer is x=1
Answer:
C : x=2
Step-by-step explanation:
Edge 2022
you deposit $1600 in a bank account. find the balance after 3 years if the account pays 1.75% annual interest compounded quarterly
Answers
9514 1404 393
Answer:
$1686.05
Step-by-step explanation:
The amount with compound interest is ...
A = P(1 +r/n)^(nt)
for principal P earning annual rate r compounded n times per year for t years.
A = $1600(1 +0.0175/4)^(4·3) = $1686.05
The balance after 3 years is $1686.05.
Answer:
the answer is $1686.05
Step-by-step explanation:
:))
profesor de Educación Física Oriente y occidente hacer Cada día los siguientes recorridos lunes 5,12 y kilómetros más de 6 koma 23 kilómetros miércoles 7,0 2 km y jueves 12,0 7 km y el viernes 15,0 1 kilómetros Cuántos kilómetros recorre cada estudiante a final de la semana datos operacion
Answers
Answer:
ask in English then only I will answer
[tex]533 {?}^{2} \times \frac{?}{?} [/tex]
Answer:
53
Step-by-step explanation:
jddhhevehevevegejwkwveehjebebsjsbs
Find the missing side x=
Answers
Amir bought a camera 5 year ago for RM1500. He plans to sell his camera at a price of RM1800. What percentage of the profit or loss?
Answers
Answer:
20% profit
Step-by-step explanation:
Hope this helps
How are land parcels valued?
Answers
A store gives customers a markup of 13%. If the store sells a belt for $25, what was the wholesale price paid for the belt by the store?
Answers
Answer:
$22.12
Step-by-step explanation:
Let x be the wholesale price (the price before adding the markup).
The markup is 13%, so 13% of x is added to x.
x + 13%x = $25
x + 0.13x = 25
1.13x = 25
x = 25/1.13
x = 22.12
Find the value of x
Answers
Answer:
x=80
Step-by-step explanation:
(x+30)=110 because they are vertically opposite angles.
x+30=110
x=110-30
x=80
Answer:
x = 80 degrees
Step-by-step explanation:
x + 30 = 110
- 30 = -30
x = 80 degrees
show proof and work for brainliest
Answers
c) Share £160 in the ratio 1:9
(2)
Answer £
and £
Answers
Answer:
£16:£144
Step-by-step explanation:
1+9=10
160/10=16
1×16=16
9×16=£144
Answer:
16£ and 114£
Step-by-step explanation:
add the ratios
1 + 9 = 10
for the first ratio
(1/10) × 160
= 16£
for the second ratio
(9/10) × 160
= 114£
Write the equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening.
y = 2x^2 + 2
Answers
Step-by-step explanation:
y-2=2(x-0)^2
Vertex: (0,2)
Axis of Symmetry is x=0
Opens upward
Hope that helps :)
(1 point) Find a formula for the nth term in the sequence: 17,−17/8,17/27,−17/64,17/125,…
Answers
Given:
The sequence is:
[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]
To find:
The formula for the nth term in the given sequence.
Solution:
We have,
[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]
The given sequence can be written as
[tex]\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...[/tex]
The sign are alternative and the absolute value of each term can be defined by the expression [tex]\dfrac{17}{n^3}[/tex], where n is a natural number.
So, the required formula is:
[tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex]
Therefore, the formula for nth term in the given sequence is [tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex].
Consider the point on the polar graph below.
Represent the point's location in the polar form (r,θ) where 0≤r<50 and 0≤θ<2π.
(r,θ)=
Represent the point's location in the polar form (r,θ) where 0≤r<50and 2π≤θ<4π.
(r,θ)=
Represent the point's location in the polar form (r,θ) where 0≤r<50and −2π≤θ<0.
(r,θ)=
Answers
J0IN G00GLE MEET GIRL$
wnp-hxru-ipf
2. Jason can put his money in a savings account and earn about 12 cents in interest this month, or he can
loan it to Matt, who says he'll return the money plus $20 at the end of the month. He loans it to Matt.
a. The opportunity cost is
Answers
Answer:
12 cents
Step-by-step explanation:
opportunity cost of the next best option forgone when one alternative is chosen over other alternatives
by loaning matt the money he forgoes the opportunity to earn 12 cents in interest. this is his opportunity cost
1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Answers
Answer:
So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
Answer:
not safe it is 78.5 degrees
Step-by-step explanation:
What is the answer for B
Please help and use the proper theorem!
Answers
according to the Michigan DNR, the wolf population on Beaver Island can be modeled by the equation P= 1300(.87)^x. Is the population increasing or decreasing, and by what percent?
Answers
Answer:
The population is decreasing by 13%.
Step-by-step explanation:
The standard exponential equation can be modeled by:
y = A(1 ± r)^x
Ashton bought 5 cans of olive oil. Each can had a radius of 3.2 inches and was 15 inches tall. Find the total cubic inches of olive oil Ashton had.
Answers
Step-by-step explanation:
A can is a cylinder.
Volume of a can = Volume of Cylinder
[tex] = \pi {r}^{2} h[/tex]
Given Radius = 3.2 inches and height = 15 inches,
Volume of one olive oil can =
[tex]\pi( {3.2}^{2} )(15) \\ = 153.6\pi {in}^{3} [/tex]
Volume of 5 olive oil cans = 5 x volume of one olive can
[tex] = 5 \times 153.6\pi \\ = 768\pi {in}^{3} [/tex]
I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.
What is the graph of the function f(x) = the quantity of x squared plus 4 x minus 12, all over x plus 6 ? (1 point)
Answers
so
(x+6)(x-2)
---------------- = x - 2
x + 6
f(x) = x -2
because
if x = -6
then y = -6 - 2 = -8
(-6,-8) is the order pair
Can you help me, please?
Answers
Answer:
The first one is two over four
Step-by-step explanation:
Caterpillar nitrogen assimilation and body mass. we explored the relationship between nitrogen assimilation and body mass (both on log scales) for data on a sample of caterpillars in Caterpillars. The Instar variable in the data codes different stages (1 to 5) of caterpillar development.
a. Fit a model to predict log nitrogen assimilation (LogNassim) using log body mass (LogMass). Report the value of for this model.
b. Fit a model to predict LogNassim using appropriate indicators for the categories of Instar. Report the value of for this model and compare it to the model based on LogMass.
c. Give an interpretation (in context) for the first two coefficients of the fitted model in (b).
d. Fit a model to predict LogNassim using LogMass and appropriate indicators for Instar. Report the value of and compare it to the earlier models.
e. Is the LogMass variable really needed in the model of part (d). Does the linear trend appear to be better when the caterpillars are in a free growth period? (Again, we are not ready to fit more complicated models, but we are looking at the plot for linear trend in the two groups.)
Answers
b B.Produce a similar plot using the log (base 10) transformed variables, LogNassim versus Log Mass. Again, comment on any patterns.
C. Would you prefer the plot in part (a) or part (b) to predict the nitrogen assimilation of caterpillars with a linear model? Fit a linear regression model for the plot you chose and write down the prediction equation.