Given:
The vertices of the triangle ABC are A(2, 1), B(0,-1), C(2, -1).
To find:
The vertices of the image of triangle ABC if ABC is translated two units down.
Solution:
It is given that the triangle ABC is translated two units down. So, the rule of translation is:
[tex](x,y)\to (x,y-2)[/tex]
Using this rule, we get
[tex]A(2,1)\to A'(2,1-2)[/tex]
[tex]A(2,1)\to A'(2,-1)[/tex]
Similarly,
[tex]B(0,-1)\to B'(0,-1-2)[/tex]
[tex]B(0,-1)\to B'(0,-3)[/tex]
And,
[tex]C(2.-1)\to C'(2,-1-2)[/tex]
[tex]C(2.-1)\to C'(2,-3)[/tex]
The vertices of the image are A'(2,-1), B'(0,-3), C'(2,-3).
Therefore, the correct option is C.
Answer:
C.
Step-by-step explanation:
Consecutive numbers are whole numbers that follow in order such as 7, 8, 9, 10, and so forth. Suppose the average of 15 consecutive numbers is 15. What is the average of the first five numbers of the set?
Answer:
10
Step-by-step explanation:
First, we need to find the sum of the 15 consecutive numbers. The formula to finding the average of a set of numbers is the sum of the terms divided by the number of terms. So to find the sum, you do 15x15 because the average is 15 and there are 15 numbers. 15x15=225, so you know the sum of the consecutive numbers is 225. Let X be equal to the first consecutive number of the 15 consecutive numbers.
X+(X+1)+(X+2)+(X+3)....+(X+14)=225
=15X+(105)=225
=15X=225-105
=15X=120
=X=8
So the first consecutive number of the 15 is 8. Therefore, the second consecutive number is 9, the third is 10, and so on. The question asks for the average of the first five numbers, which is 8, 9, 10, 11, and 12.
The summation formula is [tex]S=(\alpha_{1}+\alpha_{n})\frac{n}{2\\}[/tex].
[tex]S=(\alpha_{1}+\alpha_{n})\frac{n}{2\\}\\ S=(8+12)\frac{5}{2}\\ S=(20)2.5\\ S=50[/tex]
So the sum of the first five consecutive numbers is 50. Since there are 5 numbers, you do 50÷5=10. Therefore, the answer is 10.
determine if these triangles are congruent and why 3-4
#3.
Triangle RCH is congruent to Triangle NCH by SAS.
Side 1 - reflexive (CH)
Angle - given
Side 2 - given
#4.
Triangle SOK is congruent to Triangle XAM by ASA.
Angle 1 - angle X is 53 degrees, as is angle S
Side - given
Angle 2 - angle A is 103 degrees, as is angle O
Hope this helps!
A store bought a tent for $230 and marked it up 65% The store sells the tent with the 8% tax what is the total cost of the tent
Answer:
$409.86
Step-by-step explanation:
To find the price after marking it up, 230 x 0.65 = 149.5
230 + 149.5 = 379.5
Usually we add tax after the discount/markup.
379.5 x 0.08 = 30.36
379.5 + 30.36 = $409.86
Hope this helps!
If 5 and 12 are the two smallest values in a Pythagorean triple, what is the largest value, c, in the triple?
=============================================
Work Shown:
a^2 + b^2 = c^2
c = sqrt( a^2 + b^2 )
c = sqrt( 5^2 + 12^2 )
c = sqrt( 25 + 144 )
c = sqrt( 169 )
c = 13
---------------
Extra info (optional section)
The perimeter is 5+12+13 = 30 units and the area is base*height/2 = 5*12/2 = 60/2 = 30 square units. In this triangle type, the area and perimeter are the same value (different units though of course). This concept and particular triangle is discussed in the video titled "Superhero triangles" from Numberphile (timestamp around 1:23 of the video).
Finding the next terms of an arithmetic sequence with integers The first three terms of an arithmetic sequence are as follows. 10, 13, 16 Find the next two terms of this sequence. help
Answer:
19, 22
Step-by-step explanation:
Because this is an arithmetic sequence, we know there is a constant difference between each value.
To find that difference, lets take two consecutive values, (10 and 13) and subtract them.
13 - 10 = 3
We see the same number if we used
16 - 13 = 3
So the pattern here, is each number + 3.
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
etc.
help please! also an explanation would be helpful
There are two shapes a rectangle and a triangle.
Area of a rectangle = Length x width = 10 x 8 = 80 square ft.
Area of triangle = 1/2 x base x height = 1/2 x 6 x 8 = 24 square ft.
Total area = rectangle + triangle = 80 + 24 = 104 square ft.
Answer 104 square ft.
Answer:
104 ft^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 10*8 = 80
Then find the are of the triangle
A = 1/2 bh = 1/2 (6) * 8 = 24
Add the areas together
80+24 = 104
teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa?
Answer:
5/12
Step-by-step explanation:
Deje que el chocolate total se represente como 1
La cantidad de tarta de chocolate que le llega a Teresa es:
1 - (1/3 + 1/4)
Mínimo común denominador = 12
1 - (4 + 3/12)
1 - 7/12
= 5/12
La cantidad o fracción de la tarta de chocolate que le queda a Teresa es 5/12
Will Mark brainlest !please help. (The probabilty of germenating a new flower seed is found to be 0.92,if you sow a packet of 500 seeds in the field ,how many seeds will you expect to be germinated)
Answer: 0. 92 = 92%
100% = 500
92% = 500 × 92/100 = 460
Step-by-step explanation:
Need help please !!!!!!!
Answer:
go to scan an solve on brainly and it should bring up the answer, your welcome
Step-by-step explanation:
here is the answer to your question
solve for x,ty!
No links
Answer:
Step-by-step explanation:
[tex]\frac{-3x}{2}[/tex] = 5
multiply both sides by 2
2 ( [tex]\frac{-3x}{2}[/tex] = 5 )
-3x = 10
divide both sides by [tex]\frac{-1}{3}[/tex]
[tex]\frac{-1}{3}[/tex] ( -3x = 10 )
x = [tex]\frac{-10}{3}[/tex]
got it?
Answer:
x = -10/3
Step-by-step explanation:
2(-3x/2) = (5)2
-3x = 10
----- ---
-3 -3
x = -10/3
Which of the following will simplify to the
correct solutions of y = 2x2 + 5x - 7?
-5+ 25 - 56 525-56
A
с
4
4
-5 + 25 +56 5+25+ 56
B
D
4
4
Answer:
f the answer to the question is A
Answer:b
Step-by-step explanation:
A shopkeeper marks the price on articles 25% above the cost price. After allowing 10% discount, it was sold at gain of Rs 150. Find the mp
Answer: [tex]Rs. 166.67[/tex]
Step-by-step explanation:
Given
Mark up price is 25% higher than cost price
The shopkeeper gives a discount of 10%
Suppose the cost price is [tex]x[/tex]
Mark up price is [tex]1.25x[/tex]
Selling price is
[tex]\Rightarrow 1.25x\times 0.9=1.125x[/tex]
It is given Rs150
[tex]\therefore 150=1.125x\\\Rightarrow x=\text{Rs}133.33[/tex]
Marked up price is [tex]\text{Rs }166.67[/tex]
which function is shown in the graph below?
pls helppp
Answer:
c
Step-by-step explanation:
how would one solve this
the function f(x) = 1/3x + 5 and g(x) = x^2 + 4x are shown graphed below. The negative solution to the equation f(x) = g(x) is closest to which of the following?
(1) x= -4.7
(2) x= -1.1
(3) x= -3.4
(4) x= -7.5
thank you to anyone who answers this :))
Answer:
Step-by-step explanation:
You need to design a rectangle with a perimeter of 11 cm. The length must be 2.8 cm. What is the width of the rectangle? (You might want to draw a picture.)
a) Let w = the width of the rectangle. Write the equation you would use to solve this problem.
Step-by-step explanation:
p = 2×( l+w)
p = 2×l + 2×w
=> 2×w = p - 2×l
w = (p - 2×l) / 2
w = (11 - (2×2.8))/2
= (11- 5.6)/2
= 5.4 /2
= 2.7 cm
What are the steps to understanding this problem as well as the answers.
Step-by-step explanation:
1
[tex] \frac{1}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{3 - 4i}{25} = \frac{ 3}{25} - \frac{4i}{25} [/tex]
2)
[tex] \frac{1}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{3 + 4i}{25} = \frac{ 3}{25} + \frac{4i}{25} [/tex]
3)
1+0i
4)
[tex] \frac{3 - 4i}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{ - 7 - 24i}{25} = - \frac{7}{25} - \frac{24i}{25} [/tex]
5)
3 - 4i
6)
[tex] \frac{3 + 4i}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{ - 7 + 24i}{25} = - \frac{7}{25} + \frac{24i}{25} [/tex]
_________________
√(-√2-(-√2))²+(√3-2√3)²
A newly drilled water well produces 50,000 quarts of water per week. With no new water feeding the well, the production drops by 5% per year. Using 52 weeks in a year, what is the total number of quarts of water that can be drawn from this water well before it goes dry?
Answer:
Total amount of water = 5,200,000
Step-by-step explanation:
Given:
water produced = 50,000 quarts of water per week
Production drop = 5% = 0.05 per year
Number of week in year = 52 week
Find:
Total amount of water
Computation:
Sum = a / r
a = 50,000 x 52
a = 2,600,000
Sum = a / [1-r]
Sum = 2,600,000 / 5%
Sum = 2,600,000 / 0.05
Total amount of water = 5,200,000
For summer school do u only go for the class you failed or all the classes you took that year?
Answer:
I am not sure.
Step-by-step explanation:
I've never been to summer school so- :/
F−g+(−2)f, minus, g, plus, left parenthesis, minus, 2, right parenthesis where f = -3.005f=−3.005f, equals, minus, 3, point, 005 and g = 4.7g=4.7
Answer:
[tex]f-g+(-2) = -9.705[/tex]
Step-by-step explanation:
Given
[tex]f = -3.005[/tex]
[tex]g=4.7[/tex]
Required
Determine [tex]f-g+(-2)[/tex]
We have:
[tex]f-g+(-2)[/tex]
Open brackets
[tex]f-g+(-2) = f-g-2[/tex]
Substitute values for f and g
[tex]f-g+(-2) = -3.005-4.7-2[/tex]
Solve
[tex]f-g+(-2) = -9.705[/tex]
Answer:
the answer i got was
-9.705
Step-by-step explanation:
i did it on khan
The front of the stage, side C , is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of a square A. Is the ropped off area, triangle ABC, a right triangle? Explain.
Answer: yes, because any triangle with the ratio of whole number 3:4:5 is a right triangle
Step-by-step explanation:
geometry!!!!!! helppp select the ones that are true!
Answer:
Through any three collinear points, there is exactly one plane.False [ i.e. non collinear points]
A segment is part of a line between two points on the line called the endpoints.False[I.e. mid point]
If there is a line and a point not on the line, then there exists exactly one line through the point
that is parallel to the given line.True
The midpoint of a segment is equidistant from the endpoints.True
If two angles are supplementary to the same angle, then the angles must be obtuse.True
If two angles form a linear pair, then the angles are complementary.False [I.e. supplementary]
The graph of a function is shown.
What is the maximum value of the function?
Answer:
3
Step-by-step explanation:
The maximum value of the function is 3.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The maximum value of a function is the highest output value that the function can attain over its entire domain.
Now,
From the graph,
The y-values are called the output.
The y-value is from -∞ to 3 and 3 to -∞.
This means,
The range of the function is -∞ to 3 and 3 to -∞.
Now,
The highest output is 3.
Thus,
The maximum value of the function is 3.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Use the order of operations to simplify this expression. Express your answer in simplest form.
1/2+2/3÷ 5/9
Answer:
1/540
Step-by-step explanation:
the answer should be 1/540
Solve (x + 2 < 5) ∩ (x - 7 > -6).
A. {all real numbers}
B. {x | 1 < x < 3}
C. {x | x < 3 or x > 1}
Let [tex]A=x+2\lt5, B=x-7\gt6[/tex].
Simplifying both you get [tex]A=x\lt3,B=x\gt1[/tex].
The set conjunction is [tex]A\cap B=1\lt x\lt3[/tex].
So the answer is B.
Hope this helps.
Answer:
Assuming b
Step-by-step explanation:
the person above said it was b so
2. Dentre as formas de representar um número decimal, a mais comum é a que utiliza vírgula. Valor como 0,25 está presente nos comércios, nos hospitais, nas lanchonetes e em muitos outros lugares. Esse valor também pode ser representado por A. ( ) 25/10 B. ( ) 1/4 C. ( )1/25 D. ( ) 1/25
Answer:
B: 0.25 = 1/4
Step-by-step explanation:
Queremos encontrar otra representación del número 0.25
Notar que hay dos decimales luego de la coma, por lo que podemos multiplicar este número y dividir por 100.
0.25 = 0.25*1 = 0.25*(100/100) = (0.25*100)/(100) = 25/100
Ahora tenemos el número escrito como una fracción, la cual debemos simplificar.
25/100
Podemos ver que tanto el numerador como el denominador son multiplos de 5, por lo que podemos dividir ambos por 5:
25/100 = (25/5)/(100/5) = 5/20
Nuevamente, ambos son multiplos de 5, por lo que podemos dividir ambos por 5.
5/20 = (5/5)/(20/5) = 1/4
así tenemos:
0.25 = 25/100 = 5/20 = 1/4
0.25 = 1/4
La opción correcta es B.
When a coin and die are tossed together find the probability of getting:
a)coin with head and die with prime number
b)coin with head and die with composite number
c)coin with tail and die with even prime number
Answer:
a) 1/4
b) 1/6
c) 1/12
Step-by-step explanation:
Let S be the sample space.
S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
n(s) =12
Events
A: coin with head and die with prime number .
B:coin with head and die with composite number.
C:coin with tail and die with even prime number.
a) A={H2,H3,H5}
n(A) = 3
P(A) =n(A)/n(S)
=3/12
= 1/4
b) B={H4,H6}
n(B)= 2
P(B) = n(B)/n(S)
= 2/12
= 1/6
c) C ={T2}
n(C) = 1
P(C) = n(C)/n(S)
= 1/12
which of these relations are functions
Answer:
The fourth and fifth options.
Step-by-step explanation:
Now, there are two key points to this question that are essential - first, in a relation that is a function, for every input, there is only one single output. For instance, in the first option, we can see that when x=2, y=11 and 15. Hence, it is ruled out. The same goes for the third option; of the coordinates, it is clear that certain values overlap, and in the final option, when x= -4, y= -2 and -5.
In the fifth option, however, the input (x) leads to only one output value (y) each. Therefore, it is a function.
Secondly, the vertical line test is a visual way to determine if a curve is a graph of a function or not. The best way to do this is to either visualise a vertical straight line, or get a ruler of some sort, and drag it across the graph. If at any time, the vertical line touches more than one point, it is not a function.
If the coordinates in the second option are joined, we can see that two of them have the same x-coordinate - thus, the line would touch two points, and it is not a function.
In the fourth option, on the other hand, the vertical line only touches one point throughout the entire graph - therefore, it is a function.
Hope this helps!
How far apart are -14 1/2 and 2 on the number line
