in the figure shown, the darker square is removed. Divide the remaining figure into two rectangles
Answers
The dimensions of each rectangle are x by (x- y) and y by (x - y); option A and D
The area of each rectangle is x² - 2xy + y² and x² - xy
The total area of the remaining figure is 2x² - 4xy + 2y²
This figure represents the difference of two squares in that x² - y² = (x + y)(x -y)
What is the are of each triangle?The area of each rectangle is:
x * (x- y) = x² -xy
and
y * (x - y) = xy - y²
The total area of the remaining figure is:
x² -xy + xy - y² = x² - y²
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Related Questions
11. Given that the function graphed is f(x), what
is f(-5)?
Answers
Answer:
f(-5) =5
Step-by-step explanation:
We want to find the output value when x = -5
Looking at the graph when x = -5 the graph is at 5
f(-5) =5
A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
Answers
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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in a popular shopping Centre waiting time for an ABC bank ATM machine is found to be uniformly distributed between 1 and 5 minutes what is the probability of waiting between 2 and 4 minutes to use the ATM
Answers
so here we get two outcomes one is 2 and other is 4.
so there is total 2 outcomes.
total no. of possibility is 5
so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.
The parent absolute value function is reflected across the x-axis and translated right 2 units. Which function is represented by the graph?
–|x – 2|
–|x + 2|
|–x| – 2
|–x| + 2
Answers
The function represented by the graph with the given transformations is |–x| + 2.
The function represented by the given transformations is |–x| + 2.
Let's analyze the transformations step by step:
Reflection across the x-axis:
Reflecting the parent absolute value function across the x-axis changes the sign of the function. The positive slopes become negative, and the negative slopes become positive. This transformation is denoted by a negative sign in front of the function.
Translation right 2 units:
Translating the function right 2 units shifts the entire graph horizontally to the right. This transformation is denoted by subtracting the value being translated from the input of the function.
Combining these transformations, the function |–x| + 2 results. The negative sign reflects the function across the x-axis, and the subtraction of 2 units translates it right. The absolute value is applied to the negated x, ensuring that the function always returns a positive value.
Thus, the function represented by the graph with the given transformations is |–x| + 2.
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Answer: -lx-2l
Step-by-step explanation:
what is the area of the shaded area. Round to the nearest whole unit.
please help!!!
Answers
Answer:
69.53 or 70(depending on rounding)
Step-by-step explanation:
The squares area is (9*2)^2 which is 324.
The circles area is 9^2 pi or 254.47 approx.
Subtract and you get 69.53 or 70
If GH=HI=88, GJ=9t, and IJ=t+56, what is the value of t?
Answers
Answer:
t=3.2
Step-by-step explanation:
gh and hi =88 and GJ = 9t and IJ = t + 56
we can set up an equation so it would be
GJ + JI = GI
9t + (t + 56) = 88
combine like terms:
10t + 56 = 88
subtract 56 from both sides:
10t = 88 - 56
10t = 32
divide both sides by 10:
t = 32/10
t = 3.2
i hope i helped!
please help i rlly need this
Answers
Answer:
It can have infinitely many dimensions. The area for a rectangle is the product of its width and height (Area = width * height). Therefore, any pair of lengths that yield 400cm2 when multiplied can be its dimensions.400 = 10×40 = 20×20 =127.32395×3.14159Step-by-step explanation:
Sana nakatulong ako :-) paki follow nalang TyIn this triangle what is the value of x
Answers
Answer:
Step-by-step explanation:
error
Answer:
x ≈ 75.2
Step-by-step explanation:
using the tangent ratio in the right triangle
tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )
40 × tan62° = x , then
x ≈ 75.2 ( to the nearest tenth )
PLEASE HELP!!
finding square roots of negative numbers
show your work
1-) V-18
2-) 2V-16
Answers
Answer:
Work shown below!
Step-by-step explanation:
\(\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}\)
\(2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i\)
Thank you for the help!
Answers
Answer:
c 57
Step-by-step explanation:
a number has the same digits in its hundreds place and it’s hundrthes place. how many times greater is the value of the digit in the hundreds place than the value of the digit in the hundreds place
Answers
In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.
How can the value of the digit can be calculated?The question can be interpreted that the particular number has the same digit which is seen in hundreds place hence hundredths place.
we can then represent the digit as '1'.
The value of number's hundreds place can be represented as 100
we can as well represent the number's hundredths place as 0.01
the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000
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missing options:
A. 100,00
B. 100
C. 1,000
D. 10,000
Need help will give brainliest
Answers
The equation formed after the transformations is given as follows:
\(g(x) = \frac{1}{6}\sqrt{x + 3}\)
How to obtain the function?The parent function in this problem is defined as follows:
\(f(x) = \sqrt{x}\)
For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:
\(g(x) = \frac{1}{6}\sqrt{x}\)
For the translation left 3 units, we have that x -> x + 3, hence:
\(g(x) = \frac{1}{6}\sqrt{x + 3}\)
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u
n n
+ + +
=
+ − +
, khi → +∞.
Answers
Answer:
45678
Step-by-step explanation:
u
n n
+ + +
=
+ − +
, khi → +∞.
A line has an x-intercept of 2 and a y-intercept of 5. What is the equation of the line?
Answers
Answer:
y = 2x + 5
Step-by-step explanation:
In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, what would the same 30 second commercial have cost during the first Super Bowl in 1967, when the CPI was 33.4? Round your answer to the nearest hundred dollars.
Answers
In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.
To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).
The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.
Given data:
Cost of a 30-second commercial in 2021 = $5.6 million
CPI in 2021 = 271.4
CPI in 1967 = 33.4
To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:
Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)
Cost in 1967 = ($5.6 million) * (33.4 / 271.4)
Cost in 1967 ≈ $0.689 million
To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:
Cost in 1967 ≈ $68,900
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Which inequality is graphed below
Answers
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
A large fish tank is having its water drained while being weighed. After 20 gallons have been drained, the tank weighs 1,909 pounds. After 50 gallons have been drained, it weighs 1,660 pounds. Let w be the weight of the tank and let g be the number of gallons drained. Write a linear equation for w in the terms of g.
Answers
Answer:
\(w=-8.3g+2075\)
Step-by-step explanation:
Let the x axis represent the gallons g
and y axis represent the weight of the tank w.
So, the first point on the plane will be \((20,1909)\)
and the second point will be \((50,1660)\)
The line between these points will be
\(w-1909=\dfrac{1660-1909}{50-20}(g-20)\\\Rightarrow w-1909=-\dfrac{249}{30}(g-20)\\\Rightarrow w-1909=-\dfrac{83}{10}(g-20)\\\Rightarrow w=-\dfrac{83}{10}g+\dfrac{83}{10}\times 20+1909\\\Rightarrow w=-\dfrac{83}{10}g+2075\\\Rightarrow w=-8.3g+2075\)
The relationship between the weight and gallons of the tank is \(w=-8.3g+2075\)
8.)
To buy your Halloween costume, you borrowed $15.00 from your mom. Then you
borrowed $3.50 from your Dad to buy face paint, and another $4.00 from your
sister for accessories. How much money do you owe altogether?
Answers
Answer:
22.50$
give brainiest
Answer:
You Owe $22.50
Step-by-step explanation: All yo do is add up all of the $ That they owe to each person and That is your answer.
????!! Someone please explain this
Answers
Answer:
$24
Step-by-step explanation:
First, find the cost to cover one pair of shoes.
Cost to cover one pair of shoes = surface area of the shoe box × cost per square inch
= 2(LW + LH + HW) × 0.02
L = 14 in.
W = 8 in.
H = 4 in.
Plug in the values
Cost to cover one pair of shoes = 2(14*8 + 14*4 + 4*8) × 0.02
= 2(112 + 56 + 32) × 0.02
= 2(200) × 0.02
= 400 × 0.02 = 8
Cost to cover one pair of shoes = $8
Cost to cover 3 pairs of shoes = 3*8 = $24
Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y = 102t +
1
2
t2 − t3, 0 ≤ t ≤ 8.
Answers
PLEASE HELP ='D
THANK YOOOOOOOOOOOU
Answers
Answer:
yes you have it marked correctly in the image
4(-4x - 3) > 36 with the steps
Answers
Answer:
x < -3
Step-by-step explanation:
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
−4x−3> 36/4
Divide 36 by 4 to get 9.
−4x−3>9
Add 3 to both sides.
−4x>9+3
Add 9 and 3 to get 12.
−4x>12
Divide both sides by −4. Since −4 is negative, the inequality direction is changed.
x< 12/-4
Divide 12 by −4 to get −3.
x < -3
Answer is x < -3
4(-4x-3) > 36
Expand the brackets
-16x - 12 > 36
Rearrange the inequality to get x on its own
-16x > 36 + 12
-16x > 48
Divide both sides by -16 in order to get x on its own. When dividing both sides of the inequality by a negative number, flip the inequality sign (as this is one of the laws of inequalities)
x < 48/-16
x < -3
3(x - 2) – 2x + 3 = -12
Answers
Answer:
hii
Step-by-step explanation:
3(x-2)-2x+3=-12
3 times x = 3x
3 times -2 = -6
3x-6-2x+3=-12
3x + 2x = 5x
-6 + 3 =-3
i don't know the rest I'm sorry
Please Help?!?!
Sari has to read a book for English class by the end of the week. She wants to read at least 200 pages in the first 5 days of the week. On average, how many pages should Sari read per day to meet her goal?
p ≥ ____
Answers
Answer:
40
Step-by-step explanation:
200 divided by 5 = 40
Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-intercept of -2.
Find the slope of both lines. In the answer box give the slope of the steeper line.
Answers
Answer:
The linear equation in the slope-intercept form will be:
\(y\:=\:\frac{2}{3}x+64\)
Step-by-step explanation:
From the line graph, taking two points
(21, 78)(27, 82)Finding the slope between (21, 78) and (27, 82)
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(\left(x_1,\:y_1\right)=\left(21,\:78\right),\:\left(x_2,\:y_2\right)=\left(27,\:82\right)\)
\(m=\frac{82-78}{27-21}\)
\(m=\frac{2}{3}\)
We know that the slope-intercept of the line equation is
\(y = mx+b\)
where m is the slope and b is the y-intercept
substituting (21, 78) and m = 2/3 in the slope-intercept of the line
\(y = mx+b\)
\(78=\frac{2}{3}\left(21\right)+b\)
switch sides
\(\frac{2}{3}\left(21\right)+b=78\)
\(14+b=78\)
\(b=64\)
substituting b = 64 and m = 2/3 in the slope-intercept of the line
\(y = mx+b\)
\(y\:=\:\frac{2}{3}x+64\)
Therefore, the linear equation in the slope-intercept form will be:
\(y\:=\:\frac{2}{3}x+64\)
8+4<9
Answer this question
Answers
Answer:
uhh. False?
Step-by-step explanation:
8+4=12 which is more than 9. I'm assuming it's true or false.
Please look at the photo. Thank you!
Answers
The value of f(5) is positive
At f(x) = 0, the value of x is 1
For the interval f(x) ≤ 0, the values of x are [-2, 1]
How to determine the values of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have
f(5) = 1
This means that f(5) is positive
Also, we have
When f(x) = 0, the value of x is 1
For the interval f(x) ≤ 0, we have the values of x to be
-2 ≤ x ≤ 1
When represented as an interval, we have
[-2, 1]
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Hey need some help, pretty desperate so please help thank you <3
Answers
Answer:
Hello!
answer x = 46
z = 24
y = 14
PLEASE HELP ILL GIVE 5 STARS+ BRAINILIESS FOR THE CORRECT ANSWERS!
Answers
Answer:
C
Step-by-step explanation:
ial
What should be her first step?
isolating the constant 1
adding 4 to both sides of the equation
O isolating the second term, -4x
O adding 1 to both sides of the equation
Answers
Answer:
Fiona is completing the square to solve the polynomial equation.
x2 – 4x + 1 = 0
What should be her first step?
CORRECT--->>> 1) isolating the constant 1
2) adding 4 to both sides of the equation
3) isolating the second term, –4x
4) adding 1 to both sides of the equation
Step-by-step explanation:
EDGE 2021
The correct first step is to add 7 on both sides of the equation.
Option B is the correct answer.
We have,
To solve the equation 3x - 7 = 8, the first step is to add 7 on both sides of the equation.
We can also solve the equation as:
3x - 7 = 8
Adding 7 on both sides.
3x - 7 + 7 = 8 + 7
3x = 15
Dividing 3 on both sides.
x = 15/3
x = 5
Therefore,
The correct first step is to add 7 on both sides of the equation.
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The complete question:
Solve the equation 3x - 7 = 8.
What should be your first step?
O Isolating the constant term, -7
O Adding 7 to both sides of the equation.
O Isolating the second term, 3x.
O Subtracting 8 from both sides of the equation.