A hole the size of a photograph is cut from a red piece of paper to use in a picture frame. On a coordinate plane, 2 squares are shown. The photograph has points (negative 3, negative 2), (negative 2, 2), (2, 1), and (1, negative 3). The red paper has points (negative 4, 4), (4, 4), (4, negative 4), and (negative 4, negative 4). What is the area of the piece of red paper after the hole for the photograph has been cut? 17 square units 25 square units 39 square units 47 square units
Answers
Answer: D.
Step-by-step explanation:
First, find the area of the two squares:
The photograph: (-3, -2), (-2, 2), (2, 1), and (1, -3).
The square is diagonally aligned, so we need to find the length between two points in order to find the area.
I will use (1, -3) and (2, 1).
There is a 1 unit length and a 4 unit height. We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:
1^2 + 4^2 = x^2
1 + 16 = x^2
x = square root of 17
The side length for the square of the photograph is the square root of 17, so the area of the photograph is 17 units^2.
The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.
Now that we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:
64 - 17 = 47 square units.
Answer:
D
Step-by-step explanation:
Let's plot these points (see attachment).
We need to find the area of the paper and then the area of the photograph and subtract the photograph area from the red paper area.
The area of the big paper is easy; the side lengths of the square are 8 by 8, so the area is 8 * 8 = 64 square units.
Now, to find the area of the photograph, we just need the length of one side because it's a square. We use the distance formula between any two adjacent points; let's do (-2, 2) and (2, 1):
d = [tex]\sqrt{(2-1)^2+(-2-2)^2} =\sqrt{1+16} =\sqrt{17}[/tex]
Then the area is (√17)² = 17.
Subtract 17 from 64:
64 - 17 = 47
The area is 47 square units, or D.
Related Questions
What is the distance between –3 and 2 on the number line? A number line going from negative 5 to positive 5. –5 –1 1 5
Answers
Answer:
The distance is 5.
Step-by-step explanation:
As you want distance, the best approach is to subtract.
My advice when you're dealing with a number line, and a negative and a positive number, is to subtract the negative from the positive, so that you get a positive distance.
Therefore:
[tex]2 - ( - 3) = 2 + 3 = 5[/tex]
What is the inverse function of dx) = 2x - 4?
Answers
Answer:
y = x/2 + 2
Step-by-step explanation:
y = 2x - 4
swap y and x
x = 2y - 4
x + 4 = 2y
x/2 + 2 = y
Answer:
d(x) = 1/2x + 2 or d(x) = (x + 4)/2
Step-by-step explanation:
y = 2x - 4
y + 4 = 2x
(y + 4)/2 = x
y = (x + 4)/2 or y = 1/2x + 2
Question 3:
Point Q is
units from Point R.
Point R is
units from Point T.
Point T is
units from Point S.
Question 4:
What is the area of polygon QRSU?
square units.
Answers
Answer:
Point Q is 6 units from Point R.
Point R is 7 units from Point T.
Point T is 3 units from Point S.
The area of polygon QRSU is 42 square units.
Please mark my answer brainliest so I can move up to the next rank.
Step-by-step explanation:
What is the area of triangle MNO?
Answers
Answer:
30 [tex]ft^2[/tex]
Step-by-step explanation:
To find the area of a triangle, you must use the formula:
[tex]\frac{1}{2} bh[/tex]
The "[tex]b[/tex]," is the base (12), and the "[tex]h[/tex]," is the height (5).
Plug in the numbers accordingly:
[tex]\frac{1}{2} (12)(5)[/tex]
[tex]\frac{1}{2} (60)[/tex]
30
The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x). How does the graph of g(x) compare to the graph of f(x)? g(x) is stretched horizontally and reflected over the y-axis. g(x) is stretched horizontally and reflected over the x-axis. g(x) is compressed horizontally and reflected over the y-axis. g(x) is compressed horizontally and reflected over the x-axis.
Answers
The correct answer is: g(x) is compressed horizontally and reflected over the y-axis.
To understand how the graph of [tex]\( g(x) = f(-2x) \)[/tex] compares to the graph of the parent function [tex]\( f(x) = x^3 \)[/tex], we need to analyze the effects of the transformations applied to [tex]\( f(x) \)[/tex].
1. The transformation [tex]\( f(-x) \)[/tex] would reflect the graph of [tex]\( f(x) \)[/tex] over the y-axis. This is because for every point [tex]\( (x, y) \)[/tex] on the graph of [tex]\( f(x) \)[/tex], there will now be a corresponding point [tex]\( (-x, y) \)[/tex] on the graph of .
2. The transformation [tex]\( f(2x) \)[/tex] would compress the graph of [tex]\( f(x) \)[/tex] horizontally by a factor of 2. This is because for every point [tex]\( (x, y) \)[/tex] on the graph of [tex]\( f(x) \)[/tex], there will now be a corresponding point [tex]\( \left(\frac{x}{2}, y\right) \)[/tex] on the graph of [tex]\( f(2x) \)[/tex]. The x-values are halved, which means the graph is compressed along the x-axis.
Combining these two transformations, [tex]\( g(x) = f(-2x) \)[/tex] indicates that the graph of [tex]\( f(x) \)[/tex] is first compressed horizontally by a factor of 2 and then reflected over the y-axis.
Therefore, the graph of [tex]\( g(x) \)[/tex] is compressed horizontally and reflected over the y-axis when compared to the graph of the parent function [tex]\( f(x) \)[/tex].
pls help with this asap
Answers
Answer:
B
Step-by-step explanation:
Answer:
C. 540
Step-by-step explanation:
A=2(wl+hl+hw)
What is the area of a rectangle with vertices (2, 3), (9, 3), (9, Negative 2), and (2, Negative 2)? square units
Answers
Answer:
Area of the rectangle = [tex]35\,\,units^2[/tex]
Step-by-step explanation:
Area of the Rectangle= Product of the two Unequal sides
Finding the two unequal sides of the rectangle using the distance formula:
For the coordinates:
A(2,3) B(9,3) C(9,-2) D(2,-2)
Using Distance formula:
AB=
[tex]=\sqrt{(9-2)^2+(3-3)^2} \\\\=\sqrt{7^2+0} \\\\=\sqrt{49}\\\\ =7\,\,units[/tex]
Similarly, BC= 5 units
Area of the rectangle is:
[tex]=7\times 5\\\\=35\,\,units^2[/tex]
Answer:
The answer is definitely 35
(2/3)^4= please help thanks
Answers
Answer:
2/3 x 2/3 x 2/3 x 2/3 = 16/81
Then show decimal form = 0.19753086...
Step-by-step explanation:
A 6-pack of dish towels costs $21.42. What is the unit price?
Answers
Answer:
3.57
Step-by-step explanation:
Answer:
$3.57 for each towel
Step-by-step explanation:
It is $21.42 for a 6-pack of towels, so take $21.42 and divide it by 6. Therefore, you will get $3.57 for each towel. I hope this helps! Stay safe and have a wonderful day! Peace! ✌
At McCain Middle School, approximately 10 out of every 14 students ride the bus to school each morning.McCain Middle School has 147 students.How many students can be expected to ride the bus to school?
Answers
Answer:
105
Step-by-step explanation:
set a ratio so
10/14=?/147
cross multiply
10*147=?*14
1470=14*?
divide 1470 by 14 and get 105
An
Step-by-step explanation:
Bette has a life insurance policy that will pay her family $40,000 per year if
she dies. Bette's insurance company expects that it would have to put
$2,500,000 into a bank account so that it could make the payments. What
does Bette's insurance company expect the interest rate to be?
O A. 0.4%
O B. 2%
O C. 2.3%
O D. 1.6%
Answers
Divide the yearly payout by the amount in the bank:
40,000 / 2,500,000 = 0.016
Multiply by 100 to get the percentage:
0.016 x 100 = 1.6%
The answer is D. 1.6%
The insurance company expects an interest rate of 1.6% to provide the yearly payment of $40,000, calculated by dividing the annual payment by the principal amount deposited.
The student's question asks to calculate the interest rate expected by Bette's insurance company in order to provide a yearly payment of $40,000 to her family, given that the company needs to deposit $2,500,000 into a bank account.
To find the interest rate, we can use the formula for simple interest: Interest = Principal times Rate times Time. Since we are looking for the rate and are given the annual interest (the yearly payment) and the principal (the amount deposited), we can rearrange the formula to solve for the rate: Rate = Interest / Principal / Time. Here, Interest is $40,000, Principal is $2,500,000, and Time is 1 year.
Plugging in the values gives us: Rate = $40,000 / $2,500,000 / 1 = 0.016 or 1.6%. Therefore, the expected interest rate is 1.6%, which corresponds to option D.
HELLLPPP ME QUICKKKKK What do the following four equations have in common: -4x - 18 = 27,
1/2g + 14 = 13, -36 = 3/4n, and -3/7y - 9 = 11
A. All of the solutions are positive. B. All of the solutions are negative.
C. All of the solutions are odd numbers. D. All of the solutions are even numbers
Answers
Answer:
A
Step-by-step explanation:
i did the questions already
Help please. Find the value of x in the isosceles triangle shown below
Answers
Answer:
A
Step-by-step explanation:
We need to use some properties of an isosceles triangle and the Pythagorean Theorem.
First, the vertical line down the middle of the triangle is the height, which means the angle is makes with the base is 90 degrees and it bisects the base. So, we have two right triangles, each with a height of 6 and with a base of 4/2 = 2.
We can now use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, a = 6 and b = 2 and x = c, so:
a² + b² = c²
6² + 2² = x²
x² = 36 + 4 = 40
x = √40
Thus, the answer is A.
Answer:
A
Step-by-step explanation:
This triangle contains two congruent right angle triangles
x² = 6² + 2²
x² = 36 + 4
x² = 40
x = sqrt(40)
x = 4sqrt(10)
Simplify x^2+ 5x + 4 over
x+4
Answers
Answer:
x+1
Step-by-step explanation:
The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work
Answers
Answer:
Length of each side 3/2 or 1.5 square units
Step-by-step explanation:
(4^2 − 12x + 9)
=(2x-3)(2x-3)
2x-3=0
2x=3
x=3/2
The length of each side of the square by factoring in the area expression completely is 3/2.
We have given that,
The area of a square is (4x^2 − 12x + 9) square units.
We have to determine the,
Determine the length of each side of the square by factoring in the area expression completely.
Length of each side 3/2 or 1.5 square units
(4^2 − 12x + 9)
=(2x-3)(2x-3)
2x-3=0
2x=3
x=3/2
The length of each side of the square by factoring in the area expression completely is 3/2.
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What is the slope of the line defined by the equation y = -2x + 3?
A)
-2
B)
- 2 / 2
2
D
3
Answers
The answer is A
In the formula for slope intercept it is y= mx+b
The m in the formula is the slope
Answer:
The answer is -2
Step-by-step explanation:
The slope is m.
In an equation, it's shown as y=mx+b, where m is the slope and b is the y intercept.
The ratio of red fish to yellow fish in the pond is 2:3. If there are 24 yellow fish, how many red fish are in the pond?
Answers
Answer:
16
Step-by-step explanation:
Since there are 24 yellow fish and the ratio of the yellow fish to the red fish is 3:2. Then we know that 24/3=8. This means that 1 is equal to 8 fish. Since there are 2 ones for the red fish, we times 8 by 2 to get 16.
Solve 65x = 20.
Round to the nearest ten-thousandth.
Answers
Answer: 0.3076
Step-by-step explanation:
Answer:
0.307
Step-by-step explanation:
To get rid of the 65, simply divide both sides of the equation by 65. Thus, rounded to the nearest ten-thousandth, x = 0.307.
Please help me in these simple equations
Answers
Answer:
1. [tex]225cm^2[/tex]
2. [tex]544mm^2[/tex]
3. [tex]405mm^2[/tex]
4. [tex]67.50cm^2[/tex]
5. [tex]495mm^2[/tex]
6. [tex]480cm^2[/tex]
Step-by-step explanation:
1. Square
[tex]A=s^2[/tex]
s = 15 cm
[tex]A=(15cm)^2\\A=225cm^2[/tex]
------------------------------------------------------------------------------
2. Rectangle
[tex]A=l*w\\A=(32mm)(17mm)\\A=544mm^2[/tex]
------------------------------------------------------------------------------
3. Rectangle
[tex]A=l*w\\A=(45mm)(9mm)\\A=405mm^2[/tex]
------------------------------------------------------------------------------
4. Triangle
[tex]A=\frac{hb}{2}\\ A=\frac{(9cm)(15cm)}{2}\\ A=\frac{135cm^2}{2}\\ A=67.50cm^2[/tex]
------------------------------------------------------------------------------
5. Triangle
[tex]A=\frac{hb}{2}\\ A=\frac{(30mm)(33mm)}{2}\\ A=\frac{990mm^2}{2}\\ A=495mm^2[/tex]
------------------------------------------------------------------------------
6. Rectangle
[tex]A=l*w\\A=(34cm)(20cm)\\A=480cm^2[/tex]
Jane wants to share her pizza with two friends. She wants to make sure they all get the same amount. How should she cut the pizza?
Answers
Answer:
Into 1/3 pieces
Step-by-step explanation:
1/3 + 1/3 + 1/3 = 1 the whole pizza pie, yum
Answer:
Hello there the Correct answer is Jane should cut 2 equal pieces, as a diameter of a pizza.
Hope it helps!
From ItsNobody
what is the volume of a cylinder with a height of 6 cm and a radius of 3 cm
Answers
Answer: 169.65 cm
Step-by-step explanation: I just put this into a calculator, hope this helps!
Answer:
169.64600329385
Step-by-step explanation:
You are asked to draw a triangle with side lengths of 10 inches, 7 inches, and 2 inches. How many triangles like this can you draw?
A- One
B- Three
C- Two
D- Zero
Answers
Find the volume of the regular hexagonal prism with side lengths of 4 ft, height of 3ft and apothem of approximately 3.5 ft
Answers
Answer:
A(p) = 84 ft³
Step-by-step explanation:
Volume of regular prism is equal to V(p):
V(p) = Area of the face * h
we know h = 3 ft
A regular hexagonal prism has 6 equal sides forming its face.
Finding the area (A₂) of a triangle formed by center of the prism, straight lines between the center and two adjacents vertex and side between these two vertex, and then multiply that area by 6 (number of equal triangles inside hexagonal prism) we get the area of the face, but we need further consideration, the triangle described above, has doble area of (A₁), the triangle formed by apothem, half side, and straight line between center of the face and the vertex, therefore.
Area of small triangle = base * height
A₁ = (1/2) * 4 * 3,5
A₁ = 2*3,5
A₁ = 7 ft²
A₂ = 2* 7
A₂ = 14 ft²
Finally volume of the hexagonal prism is:
V(p) = 6 * 14
A(p) = 84 ft³
Use the graph to estimate the solution of the system.
X+2y=5, -x+3y=6
Which integers is the x-value between? What is the x-value to the nearest tenth?
Which integers is the y-value between?
What is the y-value to the nearest tenth?
Answers
Answer:.
Step-by-step explanation: Answer:
1. 0 and 1
2. about 0.6
3. 2 and 3
4. about 2.2
For the graph the solution of the system, X+2y=5, -x+3y=6
1. The integer values of x in between -6 and 5 are (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4)
2. The x-value to the nearest tenth is 1
3. The integer values of y in between 0 and 3 are (1, 2)
4. The y-value to the nearest tenth is 2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
system of lines , X+2y=5, -x+3y=6
by plotting graph of it,
we get following conclusions,
Point of intersection is (0.6, 2.2)
1. both the lines are intersecting x axis at (-6, 0) & (5, 0)
So, integers will be (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4)
2. The coordinate of x is, 0.6
The x-value to the nearest tenth is 1
3. both the lines are intersecting y axis at (0, 2) & (0, 2.5)
So, integers will be ( 0, 1, 2)
4. The coordinate of y is, 2.2
The y-value to the nearest tenth is 2
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Felicia pays for $3000.00 in home repairs using a credit card with a 17% APR. She makes $200.00 monthly payments.
How much will she pay in interest and fees?
Answers
Answer:
262.96 Dollars is for interest
271.91 Dollars is the monthly charged price monthly with the interest included
3262.96 Dollars is the total cost with APR
Water has a “bent” geometry. Which explanation does not explain why? Water’s oxygen has unbonded electron pairs that repel each other. Water can form hydrogen bonds. Electrons are evenly distributed in the water molecule.
Answers
Answer: c, electrons are eventlyg distributed in the water molecules.
Step-by-step explanation:
Answer:
its c on edge
Step-by-step explanation:
did the assignment
5,8,11,7? If the mean of the data set is 8 points, find the missing number of points.
Answers
Answer:
9
Step-by-step explanation:
if you add 5,8,9,11,and 7 you get 40 then you need to divide it by 5 because their are 5 numbers so then 40 divided by 5 is 8 so the number is 9
Final answer:
To determine the missing number in the data set with a mean of 8, we set up the equation 8 = (5 + 8 + 11 + x) / 4. Solving for x, we find that the missing number is 8.
Explanation:
To find the missing number in the data set 5, 8, 11, ?, where the mean is 8 points, we can use the formula for the mean of a data set. The mean is the sum of all data points divided by the number of points. Since we know the mean and three of the four numbers, we can create an equation to solve for the missing number:
Mean = (Sum of all data points) / (Number of data points)
8 = (5 + 8 + 11 + x) / 4
Now, solve for x:
8 * 4 = 5 + 8 + 11 + x
32 = 24 + x
x = 32 - 24
x = 8
Therefore, the missing number is 8.
2+2= ???
pleaae herp houme whork
Answers
Answer:
Goodness, hard question... I believe it is, uh 4?
2+2=4
for eg: if u buy 2 pencils and 2 erasers then,you have total 4 stationery items
hope it will help you
Brian has a piece of yarn that 4 centimeters long how many millimeters long is his piece of yarn
Answers
Answer:
40mm.
there are 10 mm. in a cm, so if there are 4 cm, then there are 40 mm.
Hope this helps :)
Please help I am stuck