Given:
The vertices of a triangle are A (-2, 4) , B (-2,3) , and C (-5,2).
Triangle ABC is reflected across the line y = -1 to produce the image of A'B'C'.
To find:
The coordinate of B' after a reflection across the line y=-1.
Solution:
If a figure is reflected across the line y=b, then
[tex](x,y)\to (x,-(y-b)+b)[/tex]
[tex](x,y)\to (x,-y+b+b)[/tex]
[tex](x,y)\to (x,2b-y)[/tex]
The given triangle ABC is reflected across the line y=-1. So, the rule of reflection is
[tex](x,y)\to (x,2(-1)-y)[/tex]
[tex](x,y)\to (x,-2-y)[/tex]
The coordinates of point B are (-2,3). So,
[tex]B(-2,3)\to B'(-2,-2-3)[/tex]
[tex]B(-2,3)\to B'(-2,-5)[/tex]
Therefore, the coordinates of point B' are (-2,-5).
The rational and the irrational numbers together are called whole numbers. true or false
the answer is false
Step-by-step explanation:
natural numbers and zero are whole numbers
A trapezoid has an area of 200 square inches
The larger base is 14 in and the height is 16 in find the smaller base of the trapezoid.
A. 11in²
B. 11in
C. 12.5in
D. 12.5in²
Answer:
B 11in
Step-by-step explanation:
Area of trapezoid is
[tex] \frac{1}{2} (h)(b _1 + b_2)[/tex]
there are 4 triangles, 12 sqaures and 6 circles. What is the ratio of squares to circles? Simplify.
Answer:
12 to 6
12:6
Step-by-step explanation:
3N and 3N+3 are two consecutive multiples of three.
a The sum of the two numbers is 141. Write down an equation to show this.
b Solve the equation to find the value of N
c Work out the values of the two initial numbers.
Answer:
Step-by-step explanation:
a) 3n+3n+3=141, 6n+3=141
b) 6n+3=141, 6n=138, n=23
c) 3n and 3n+3, 3(23) and 3(23)+3, 69 and 72
Which one of these statements is correct????
Answer:
its d i guess so
Step-by-step explanation:
:) :) :) :)
Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.
Which diagram best represents the story? Explain why the diagram represents it.
What part of the story does
x
represent?
Describe how you would find the unknown amount in the story
Answer:
Let's define the variable x as the number of apples in each bag.
We know that she bought 4 bags, then the total number of apples that she has is:
Apples = 4*x
Now she eats one apple for each bag, then she eats 4 apples, so she now has:
Apples = 4*x - 4
And we know that this is equal to 28, then:
4*x - 4 = 28
now we can solve this for x.
4*x = 28 + 4 = 32
x = 32/4 = 8
x = 8
There are 8 apples in each bag.
For the diagram part, by a small online search y found the image that you can see below.
The diagram that correctly represents this situation is diagram C, where x represents the number of apples in each bag.
(60 points)--------------------
Answer:
2 and 3 dear friend
Step-by-step explanation:
Answer:
be more clear pls- is it multiple choice orrr? that's all I need to know to answer it.
Step-by-step explanation:
Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary.
Answer:
pictures
Step-by-step explanation:
20 characters 7273959272849942883292
The diameter of a cylinder is 26 yards. Find the volume of the cylinder, if it's height is 29 yards.
Answer:
15389.14
Step-by-step explanation:
You may need to round
4901 without pi
Jamal is helping pack prize bags for the school carnival. He has 73 pencils to put into 16 bags. He wants to put the same number of pencils in each bag. How many pencils should he put in each bag?
Answer:
4
Step-by-step explanation:
I73/16 = 4.52
If he wants to put the same number in each bag, he would put 4 in each bag because the pencils cannot be cut into 0.52
A grocery store clerk put only packages of glazed donuts and packages of chocolate donuts on a shelf. The ratio of the number of packages of chocolate donuts to the total number of packages on the shelf was 5 to 12. Which number could be the number of packages of glazed donuts the clerk put on the shelf?
Answer:
7 packages of glazed donuts
Step-by-step explanation:
A grocery store clerk put only packages of glazed donuts and packages of chocolate donuts on a shelf. The ratio of the number of packages of chocolate donuts to the total number of packages on the shelf was 5 to 12.
From the ratio that is given as
The number of packages of chocolate donuts = 5
The total number of packages = 12
The number could be the number of packages of glazed donuts the clerk put on the shelf is calculated as
Total number of packages - Number of chocolate donuts
= 12 - 5
= 7 packages of glazed donuts
Mary has $6,000 saved for her college education. She invested that money at 2.3% interest per year. Suppose her account earned interest compounded annually. How much interest would she earn in 3 years?
Answer:
Interest= $423.59
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $6,000
Number of periods (n)= 3 years
Interest rate (i)= 2.3% = 0.023
To calculate the Future Value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 6,000*(1.023^3)
FV= $6,423.59
Now, the interest earned:
Interest= 6,423.59 - 6,000
Interest= $423.59
PLEASE HELP TIMED!!!!
Factor the following expression: -4W + 32
Answer:
The answer is -4 ( W - 8 )
I hope this helps you
Answer:
-4(w-8)
at first when you look at it you know you cant add then because 32 have a variable but to get -4w+32 you will have to do -4(w-8)
hope that helped
Angle A and Angle B are a linear pair . Angle A = (3x + 15) degrees . Angle B = (5x - 11) degrees . Find the measure of Angle B.
What are the coordinates of the image D(0.5, R) (3, 5) where R(1, –3) is the center of dilation?
Answer:
(2 , 1)
Step-by-step explanation:
dilation center: (1 , -3)
scale factor: 1/2 (0.5)
Final coordinate (x' , y') is the mid-point of segment (3 , 5) and (1 , -3)
x' = (3+1)/2 = 2
y' = (5 + -3) / 2 = 1
What is the equation in point-slope form for the line through the given point with the given slope? (8, 3); m = 6
Answer:
y - 3 = 6(x - 8)
Step-by-step explanation:
slope point form :<
3(b + 8) = b + 48 PORFAVOR con plantamiento operacion y resultado, y de paso me explique el temas nsd9ucancuqna :( amaba matematicas. doy corona
Answer:
b=12
Step-by-step explanation:
3b +24= b +48
-24 -24
3b = b+ 24
-b -b
2b = 24
÷2 ÷2
b=12
латна монтаж на работа
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Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo
Answer:
$183.75
Step-by-step explanation:
divide by 12 (hours)
147/12=12.25
multiply by 15 (hours)
12.25*15=183.75
Hope this helps! :)
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
Answer:
3240°
Explanation:
The formula for calculating the sum of the interior angles of a polygon is (n-2)x180 where n refers to the number of sides. Because we know that the polygon has 20 sides, the equation would be (20-2)x180. The answer would be 3240°.
find the nth tearm
-5 -2 3 10 19
Given :
The sequence is -5 , -2 , 3 , 10 , 19 .
To Find :
The nth term of the given sequence .
Solution :
Difference between first 2 terms :
-2 - ( -5 ) = 3 1 term
3 - ( -2 ) = 5 2 term
10 - 3 = 7 3 term
19 - 10 = 9 4 term
From the above observation we can say that difference is increasing in odd number .
So, the nth term will be :
[tex]a_{n+1}= -5 + (2n+1)[/tex] for n greater than equal to 0.
Hence, this is the required solution.
Betsy has $4.25 and her brother has $16.00 they want to buy two water guns that cost $12.99 each and a bag of water balloons that cost $4.79. Do they have enough money if so how much money will they have left over. If not how much more money will they need?
Answer:
No they don't have enough money, they need $10.52
Step-by-step explanation:
So first, you will add 4.25+ 16.00 = $20.25 < This is the amount they have.
Second, they want two water guns so 12.99 x 2 = 25.98 < This is the price for the water guns.
Then, add the price of the water ballons to the guns which is $30.77 < This is the cost for everything they want to buy.
Subtract $30.77 from $20.25 to recieve the answer of $10.52
Hope this helps!
What is the value of r?
r= 4 ft
r= 8 ft
r = 16 ft
r = 32 ft
R=8ft
Step-by-step explanation:
Calculate r using the given formula
r = , with Area = 64π
r = ← cancel π on numerator/ denominator
r = = 8
The required value of radius of circle r is 8 ft
From Figure the area of circle is = 64π, we have to find the radius of the circle.
What is area of circle?Area of the circle is = π[tex]r^2[/tex]
since
the area of the circle is given = 64π
And,
Radius = √area/π
radius= √64π/π
Radius = √64
Radius = 8 ft
Thus The required value of radius of circle r is 8 ft.
Learn more about circle here:
https://brainly.com/question/11833983
#SPJ2
Factor the algebraic expression.
72 +63
Answer:135
Step-by-step explanation:72 + 63 =135
Evaluate 3x + 4y when x = 2 and y = 5
Answer:
26
Step-by-step explanation:
3*2+4*5=6+20=26
Skylar invested $3,100 in an account paying an interest rate of 3.3% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, , for the value of the account to reach $4,720?
Answer:
13
Step-by-step explanation:
A circular trampoline has a radius of 8 feet. Wendy wants to buy a cover for the trampoline. What will be the area of the cover
Answer:
Option (3)
Step-by-step explanation:
Area of a circle is given by the formula,
Area = πr²
Here, r = radius of the circle
Since, radius of the circular trampoline = 8 feet
Area of the cover required for the circular trampoline = π(8)²
= 64π square feet
Therefore, Option (3) will be the answer.
can anyone solve please
Answer:
1) f = 16
2) h = 10
Step-by-step explanation:
all interior angles of a triangle add up to 180 degrees.
1) 46 + 67 + (4f+3) = 180
reduce:
4f+3 = 67
4f = 64
f = 16
2) 60 + 3h + 90 = 180
3h = 30
h = 10
Is y=4x-2/12 linear or non linear (that’s a fraction not a division symbol)
Answer:
It is linear
Step-by-step explanation:
check graph img
Three charges are located at the vertices of a triangle, as shown. An isosceles triangle lying on its side. The two charges at the corners of the base of the isosceles triangle are labeled +5 C and +10 C. The top of the triangle is labeled +4 C with 4 vectors from it. The one east is labeled Y, the one west is labeled W, the one northeast is labeled X and the one southeast is labeled Z. Which vector best represents the net force acting on the +4 C charge in the diagram? W X Y Z
Answer:
y
Step-by-step explanation:
Students in a health class are tracking how much water they consume each day. Victoria has two reusable water bottles: a small one and a large one. Yesterday, she drank 3 small bottles and 4 large bottles, for a total of 3,312 grams. The day before, she drank 2 small bottles and 4 large bottles, for a total of 2,888 grams. How much does each bottle hold?
please help
Given :
Let, capacity of small bottle is x and large bottle is y.
To Find :
How much does each bottle hold ?
Solution :
For condition 1 :
3x + 4y = 3312 ...1)
For condition 2 :
2x + 4y = 2888 ...2)
Subtracting equation 2) from equation 1), we get :
x = 424
Putting value of x in equation 1) is :
[tex]y = \dfrac{2888 - (2\times 424)}{4}\\\\y = 510[/tex]
Therefore, capacity of small bottle is 424 gram and large bottle is 510 gram.