What is the area of rectangle ABCD?
coordinate plane with rectangle ABCD at A 0 comma 1, B 0 comma 4, C 4 comma 4, and D 4 comma 1
12 square units
14 square units
16 square units
18 square units
Answers
The area of a 2D form is the amount of space within its perimeter. The area of the rectangle is 12 units². Thus, the correct option is A.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
As per the given information, the graph of the rectangle can be made as shown below. It can be observed from the graph that the length of the rectangle and width of the rectangle are 4 units and 3 units, respectively. Therefore, the area of the rectangle is,
Area = 4 units × 3 units = 12 units²
Hence, the area of the rectangle is 12 units². Thus, the correct option is A.
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Related Questions
Find the remainder when f(X)=2x^3+2x^2-3x-3 is divided by X-2
Answers
The remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
We know that the remainder theorem states that if a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, then the remainder is given by r = p(a).
Here p(x) = f(x) = 2x³ + 2x² - 3x - 3 and q(x) = x - 2. First, we have to find the zero of q(x).
Now, q(x) = 0
i.e. x - 2 = 0
i.e. x = 2.
So, the zero of q(x) is 2, i.e. a = 2.
Then by the remainder theorem,
r = p(a) = f(2) = 2(2)³ + 2(2)² - 3(2) - 3 = 2 × 8 + 2 × 4 - 6 - 3 = 16 + 8 - 9 = 16 - 1 = 15
We can conclude that the remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
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suppose your household income increased to $2,000.00 and your energy bill came from $180.00 how many percent of your household income is being spent on electricity?
Answers
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
[tex]\large \bold {ANSWER}[/tex]
[tex]\implies \boxed{\underline{\huge{\tt{\orange{\: \: 9\% \: \: }}}}}[/tex]9% of the family income is being spent to pay the energy bill.
[tex]\large \bold {SOLUTION}[/tex]
HOW TO FIND OUT THE PERCENTAGE?If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.
To solve, we will use the simple rule of three like this:
[tex]\frac{2000}{180} = \frac{100}{x}[/tex]With this we will multiply the denominator of one with the numerator of the other, being:
2000 * X and 180 * 100Where: 2000 * x is equal to 2000xAnd 180 * 100 is equal to 18,000Knowing this, we will solve it this way:
2000x = 18,000To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.
[tex]x = \frac{18000}{2000}[/tex]And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.
[tex]\begin{gathered}x = \frac{18}{2} \\ \\ x = 9\end{gathered}[/tex]We can conclude that the amount spent to pay the energy bill is equivalent to 9% of the family income.
f(x)=√x - 8. Find f¹(x) and its domain.
A. f¹(x) = x² +8; x≥ −8
-1
OB. f¹(x) = x² +8; x20
O c. f¹(x) = (x + 8)²; x≥ −8
O D. f-¹ (x) = (x+8)²; x≥0
Answers
The inverse function is [tex]f^{-1} = (x + 8)^2[/tex], and the domain is the set of all real numbers equal to or larger than -8. So the correct option is C.
How to find the inverse function?Remember that two functions are inverses if and only if:
[tex]f( f^{-1}(x)) = x\\f^{-1}(f(x)) = x[/tex]
Here we have:
[tex]f(x) = \sqrt{x} - 8[/tex]
Then we want to have:
[tex]f(f^{-1}(x)) = \sqrt{f^{-1}(x)} - 8 = x[/tex]
Solving that for the inverse function, we get:
[tex]f^{-1} = (x + 8)^2[/tex]
Now, how to get the domain. The domain of the inverse function is equal to the range of the original function.
[tex]f(x) = \sqrt{x} - 8[/tex]
The range of f(x) is the set of all real numbers larger or equal than -8 (because the smallest value that x can take is 0).
Then the domain of the inverse function is the set of all real numbers equal to or larger than -8.
The correct option is C.
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urgent please help with this function!!
Answers
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
-2 works in the second equation because it is within the restrictions, therefore it is 0.
4 works in the third equation because it is within those restrictions, therefor it is -4.
2(2x – 1) + 7 < 13 or –2x + 5≤-10
Answers
Answer:
x<2 or x ≥ 15/2
Step-by-step explanation:
Can someone please help
Answers
Answer:
Option 1
Step-by-step explanation:
Angle bisector:
Angle bisector is a line that divides the angle into two equal angles.
⇒ ∠KLM = ∠MLN
In calm water, the motorboat of Jana is moving at the speed of 16.5km/h. On a river, because of the current, the boat moves faster down the river only by raising it. Jana went up the river in 5 hours and the decent in only 2 hours. What is the speed of the current?
Answers
Answer: 707 km/h
Step-by-step explanation:
let c = speed of current
16.5 + c = speed of sailboat downstream
16.5 - c = speed of sailboat upstream
distance = travel time * speed
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
2(16.5 + c) = 5(16.5 - c)
33 + 2c = 82.5 - 5c
7c = 49.5
c = 7.07 km/h
Find x and y. please help ty!! :)
Answers
answer:
x=74 y=27
steps:
triangle in the middle is
180-126 = 54
180-85 = 95
180-149 = 31
126=2x+1+31
126=2x+32
2x=94
x=74
126+2y=180
2y=54
y=27
Alexa needs 20.5 pints of blueberries to
jam. She picked 7.75 pints on Friday and
pints on Saturday. How many more pints
she need to pick?
Answers
Answer:
Your question does not make much sense but that was only because you were missing one variable which was 4.25 which was what you picked up on Saturday. but anyways you just add 7.75 and 4.25 and you'd end up with 12 so she has 12 pints of the blueberries she needs and to find out the remanding you just subtract from the 20.5 but its better to look at it like 20.50 because that's what it is and then you subtract 12 from 20.50 and you are left with 8.50.
Your answer is 8.5
Suppose as part of a national study of economic competitiveness a marketing research firm randomly sampled 200 adults between the ages of 27 and 35 living in metropolitan seattle and 180 adults between the ages of 27 and 35 living in metropolitan minneapolis. each adult selected in the sample was asked, among other things, whether they had a college degree. from the seattle sample 66 adults answered yes and from the minneapolis sample 63 adults answered yes when asked if they had a college degree. based on the sample data, can we conclude that there is a difference between the population proportions of adults between the ages of 27 and 35 in the two cities with college degrees
Answers
No we cannot conclude that there is a difference between the population proportion of adults between the ages of 27 and 35 in the two cities.
How to solve for the population proportionFor Seattle
66/200 = 0.33
For Minneapolis
63/180
= 0.35
We have to form our hypothesis
H0: p1 = p2
H1: p1 ≠ p2
We solve for the test statistic
z = (p1-p2)/√(p1*(1-p1)/n1+p2x(1-p2)/n2)
The calculation is given as -0.41
The excel output is given in the attachment
=-0.41
At a significance level of 0.1, the level of acceptance is at -1.645 and 1.645. The value of the test stat can be found here.
Since Z=-0.41 is between -2.58 and 2.58, we do not reject H0.
Hence we fail to reject the null hypothesis.
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Determine the solution to the system of equations graphed below and explain your reasoning and complete sentences
g(x)=-2x-3
f(x)= |x+1|-4
Answers
Answer:
(x, y) = (0, -3)
Step-by-step explanation:
On a graph, the solution to a system of equations is the set of points where the graphs of the equations intersect.
__
solutionThe graphs for this system of equations intersect at the point (0, -3). That point is the only solution for this system of equations.
The solution is (x, y) = (0, -3).
look at the attachments
the last one at the bottomm c is200
please i really need help its khan
Answers
Answer:
all I know is the second on about world population in 2014 which was c
7•10⁹
Answer:
B
B
Step-by-step explanation:
there are 9 steps for the second question so it 10^9
and if you times the 1st population size by 20 you get very close to the second population size.
7. Holly plays pool on Sundays. She pays $6.50 for admission and $3.50 for
each round she plays. Which expression can be used to determine how
much she pays if she plays x rounds of pool?
Answers
Answer:
3.50x+6.50=y
Step-by-step explanation:
What is the solution to this rational equation? 24/x-8=4
Answers
Answer:
X = 1424/x-8 = 4
Multiplying both the sides with x-8
24 = (x-8)*4
24 = 4x - 32
24 + 32 = 4x
56 = 4x
56/4 = X
14= X
PLEASE HELP IT IS DUE AT 11:15
Answers
Answer:
35, 31, 25, 18
Step-by-step explanation:
10 x 7/2 = 35
10 + 7 + 14 = 31
8 1/3 x 6/2 = 25
4 1/3 + 5 1/3 + 8 1/3 = 18
who is father of math?
Answers
Answer:
Archimedes
Step-by-step explanation:
Archimedes is known as the Father Of Mathematics.
Answer:
Archimedes
Archimedes is known as the Father Of Mathematics
Step-by-step explanation:
b) The height of the control tower. a) The shortest distance between the pilot and the base of the control tower. From a horizontal distance of 10.5km, a pilot observes that the angles of depression of the top and base of a control tower are 36° and 41 degrees respectively. Calculate he following:
Answers
From the calculations, the height of the tower is 26.4 Km
What is the angle of depression?If we know that the base of the tower is B and he top of the tower is T then to find the shortest distance between the pilot and the base of the control tower;
Sin 41 = 10.5//BP/
/BP/ = 10.5/Sin 41
/BP/ = 15.9 Km
Now, the height of the control tower is obtained from;
First /AB/ = √(15.9)^2 - (10.5)^2
/AB/ = 11.9 Km
Given that;
Tan 36 = 10.5//BT/
/BT/= 10.5/Tan 36
/BT/= 14.5 Km
Hence the height of the tower is 11.9 Km + 14.5 Km = 26.4 Km
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Which graph represents the following system of inequalities?
y<-2x+4
yx<3
Answers
A graph which represents the given system of inequalities is Graph C.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Based on the graph for the given system of inequalities (see attachment), we can infer and logically conclude that Graph C best represents them.
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Jack have 34 toy cars, Mike says he have 3 times more than Jack's toy cars. How many toy cars does Mike have?
Answers
Answer:102
Step-by-step explanation:
34 x 3 = 102
Answer:
102
Step-by-step explanation:
Since Jack has 34 toy cars and Mike has 3 times more than Jack's toys, we should multiply 34 with 3 to get the answer.
34 * 3 = 102
So, this means that Mike has 102 toy cars.\
Hope this helps :)
simplify -9(5 - 2) - 111÷3 show all work
Answers
Answer:
-64
Step-by-step explanation:
use PEMDAS order : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
-9(5 - 2) - 111÷3 =
-9(3) - 111÷3 =
-27 - 111÷3 =
-27 - 37 =
-64
what is 8.31752 to the correct 3 decimal places
Answers
when it says 3 decimal places, it means there has to be 3 digits AFTER the decimal point. so you count after the decimal point from left and it’s .317 and since the number after 7 is 5 (5 and above would cause the number before it to round), that will round it to 8.318
Answer:
8.31752 to correct 3 decimal places =
Step-by-step explanation:
8.318
brainiest pls it helps
Which absolute value function, when graphed, will be wider than the graph of the parent function, f(x) = |x|?
f(x) = |x| + 3
f(x) = |x − 6|
f(x) = |x|
f(x) = 9|x|
Answers
There is no absolute value function when graphed, will be wider than the graph of the parent function f(x) = |x|
What is an absolute value function?An absolute value function is a function such that,
[tex]|x|=-1 when x\geq 0 and |x|=1 when x\leq 0[/tex]
For the given example,
We have been given a parent function f(x) = |x|
We need to find the absolute value function, when graphed, will be wider than the graph of the parent function.
Consider the graph of all absolute value functions.
The graph of f(x) = |x| + 3 is represented blue color.
The graph of f(x) = |x − 6| is represented green color.
The graph of f(x) = |x| is represented red color.
The graph of f(x) = 9|x| is represented violet color.
From this graph, we can observe that,
f(x) = |x| + 3 is as wise as the parent absolute value function f(x) = |x| translated up by 3 units.
Similarly, the function f(x) = |x - 6| is as wise as the parent absolute value function f(x) = |x| translated right by 6 units.
This means, there is no absolute value function when graphed, which will be wider than the graph of the parent function f(x) = |x|
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Answer:
I believe the answer is C. F(x)= 1/3|x|
Step-by-step explanation:
i hope this helps.
Evaluate 5x³ + 2 for x = -1.
0 -3
04
06
0-7
Answers
Answer:
-3
Step-by-step explanation:
5x³ + 2 , when x = -1
5(-1)³ + 2
= -5 + 2
= -3
Answer:
-3
(first option listed)
Step-by-step explanation:
we know that 5x³ + 2 is our expression
we want to "evaluate" (find/solve for) when x = -1
we can do this by plugging in -1 to the expression:
5x³ + 2 {note, x = -1}
5(-1)³ + 2 {-1³ = -1}
5(-1) + 2
(-5) + 2
-5 + 2 = - 3
so, when x = -1, the statement is equivalent to -3
hope this helps! :)
Factorise completely
qn: 12axy + 8bxy + 4xy
Answers
Answer:
Step-by-step explanation:
Answer:
4xy(3a+2b+1)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?
It is 4.
2 - What is the highest degree of [tex]a[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since a is not in every term.
3 - What is the highest degree of [tex]x[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is x.
4 - What is the highest degree of [tex]y[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is y.
5 - What is the highest degree of [tex]b[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since [tex]b[/tex] is not in every term.
6 - Multiplying the results above,
GCF = 4xy
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )[/tex]
3) Simplify each term in parentheses.
[tex]4xy(3a+2b+1)[/tex]
There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi,
and 1 passionfruit. You ask a friend to bring you a piece of fruit. What is the probability of them bringing you an apple?
Answers
The probability of bringing an apple is 0.20
How to determine the probability?The distribution of the fruits is given as:
3 apples2 bananas4 oranges5 kiwi,1 passion fruit.The probability of bringing an apple is:
P(Apple) = Apple/Total
This gives
P(Apple) = 3/(3 + 2 + 4 + 5 + 1)
Evaluate
P(Apple) = 0.20
Hence, the probability of bringing an apple is 0.20
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Two linear equations are shown.
C
654321₁
4
66
y=1/3x+2
y=4/3x-5
What is the solution to the system of equations?
O (7.4)
0 (7.33)
O
0 (8)
O
O (9.7)
Answers
Answer: Option (2)
Step-by-step explanation:
Setting the equations equal to each other,
[tex]\frac{1}{3}x+2=\frac{4}{3}x-5\\\\7=x[/tex]
If x=7, then [tex]y=\frac{7}{3}+2=\frac{13}{3}[/tex]
raios of 3 The ratboys to 5 girls
Answers
Kayla has 18 bottles of bubbles. She wants to give 2 bottles to each of her 6 friends. How many bottles will she have left over? Which expression solves the problem?
Expressions:
(18/2)/6
(18/2)+6
(18*2)-6
(18*2)+6
Answers
Answer: she would have 6 bottles left, (18/2)/6
Step-by-step explanation:
she has 18 bottles, when you divide it by two, she could give two bottles to 9 people. but, she only wants to give it to 6 friends. meaning that she would be left with 3 pairs of bubbles. as in, 6 bottles.
Fill in the blank. In the triangle below, x= Round your answer to two
decimal places.
Answers
Answer:
The answer is 44.80 degrees
Step-by-step explanation:
First you want to find z
z = 180-(52+90)=38
and then try to determine which formula will try to give you x = Tan
Tan = Opposite/ Adjacent
Tan(38)=35/x
x=35/Tan(38)
x=44.80
Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was
TAKE POINTS
Answers
Let that be x
(x/8+8)8=952x/8+8=119x/8=119-8x/8=111x=111(8)x=888The number he chooses, in the beginning, was 888.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
Given that Sahil chooses a number, then divides it by 8, adds 8 to the answer. Then multiply the answer by 8.
Let the unknown number be represented by x.
Therefore,
(x/8+8)8 = 952
x/8+8 = 119
x/8 = 119-8
x/8 = 111
x = 111(8)
x = 888
Therefore, the unknown number would be; 888.
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