Decide whether ▱ABCD with vertices A(−2,3), B(2,3), C(2,−1), and D(−2,−1) is a rectangle, a rhombus, or a square. Select all names that apply.
rectangle
rhombus
square
Answer:
it is a rectangle, rhombus, and a square
Step-by-step explanation:
when you graph it out, they all have equal sides and they have congruent angles
Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply
Answer:
B)3 = 5x2 – 10x
D)8 = 5(x2 – 2x + 1)
G) = (x – 1)2
Step-by-step explanation:
Given quadratic : 3 - 4x = 5x2 - 14x
We need to apply completing the square to solve the equation.
First step is to get rid 4x from left side.
We can add 4x on right side to get rid from left side.
3 = 5x^2-14x+4x
On simplifying this step, we get
3 = 5x^2-10x
Now, we need to factor out 5 from right side to get the coefficient of x^2 as 1.
We get,
3 = 5(x^2-2x)
Now, coefficient of x is -2. So, we need to add half of the square of -2.
-2/2 = -1.
And square of -1 is 1.
Therefore, adding 1 inside parenthesis and 5×1 = 5 on left side, we get
3+5 = 5(x^2 -2x+1)
8 = 5(x^2 -2x+1)
Let us find the perfect square of (x^2 -2x+1).
(x^2 -2x+1) = (x-1)^2
Therefore, we get
8 = 5(x-1)^2.
So, the above highlighted are steps in the process of completing the square.
Answer:
2nd 4th and 7th on edg
Step-by-step explanation:
Which equation can be used to find 42 x 51?
(40 x 50) + (2 x 1) = 2,000 + 2
(4 x 5) + (2 1) = 20 + 2
(4 x 5) + (4 x 1) + (2 5) + (2 1) = 20 + 4 + 10 + 2
(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2
Answer:
(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2
The equation can be used to find 42 x 51 will be (40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2. Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 42 x 51
Simplify the expression, then we have
⇒ 42 x 51
⇒ (40 + 2) x (50 + 1)
⇒ 40 x 50 + 40 x 1 + 50 x 2 + 2 x 1
⇒ 2,000 + 40 + 100 + 2
⇒ 2,142
The equation can be used to find 42 x 51 will be (40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2. Then the correct option is D.
More about the Algebra link is given below.
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triple a number is the same as double the number increased by five.
Answer:
5
Step-by-step explanation:
3x = 2x + 5
3x - 2x = 2x - 2x +5
1x = 5
x = 5
That number is 5
By letting the unknown number be x, we solve the equation 3x = 2x + 5 and find that x equals 5.
Let's denote the unknown number as x. According to the problem, triple a number is the same as double the number increased by five. This can be expressed using the equation:
⇒ 3x = 2x + 5
To isolate x, we can subtract 2x from both sides of the equation:
⇒ 3x - 2x = 2x + 5 - 2x
Which simplifies to:
⇒ x = 5
This means the unknown number is 5. Triple of 5 is 15, and double of 5 plus 5, which is also 15, confirming that the solution is correct.
Therefore, the number that triples to become the same as double the number increased by five is 5.
What is the mean rainfall for the three towns in January to the nearest centimeter?
Answer:
I think its 3.0
Step-by-step explanation:
7 less than a number is at most 23
Seven less than a number is the same as [ n - 7 ]
Is at most twenty-three [ = 23 ]
Put the expression together:
n - 7 = 23
Solve for n if needed:
n - 7 = 23
~Add 7 to both sides
n - 7 + 7 = 23 + 7
~Simplify
n = 30
Best of Luck!
Final answer:
The student's question is about solving an inequality in mathematics. The inequality '7 less than a number is at most 23' is written as x - 7 ≤ 23 and solved to find that x can be any number up to and including 30.
Explanation:
The student is dealing with an inequality problem in mathematics. The phrase '7 less than a number is at most 23' translates to the inequality x - 7 ≤ 23, where x represents the unknown number. To solve for x, you would perform the following steps:
Add 7 to both sides of the inequality to isolate x on one side: x - 7 + 7 ≤ 23 + 7, which simplifies to x ≤ 30.
Therefore, the number x can be any number up to 30, including 30 itself, to satisfy the inequality.
This inequality demonstrates an important concept in mathematics: understanding and solving equations and inequalities.
the answer to - 9 b = 27
Answer:
b= -3
Step-by-step explanation:
To solve, we must isolate the variable, b
-9b=27
Divide both sides by -9 to "reverse" the multiplication being done to b
b= -3
what is the value of the expression?
-13 - (-9)
Answer:
Its
C my dude
Step-by-step explanation:
.
Help plzzzz I need help
Answer:
1. 425,328 -> 425,330
2. 105,025 -> 105,030
3. 45,527 -> 45,530
4. 35,478 -> 35,480
5. 212,369 -> 212,370
Step-by-step explanation:
000,000 the underlined number is the tens place. In order for the tens place to round up the ones place must be 5 or above. If the ones place is lower than 5 you round down to the nearest tens.
In Example:
333,389 you would round up to 333,390 because of the 9 in the ones place.
Now, 333,333 you would round down to 333,330 because of the 3 in the ones place
Immanuel was able to save 130 coins in 25- and 5-centavo denominations in a coco shell. if the AMOUNT OF THE SAVINGS IS 20.50 Pesos, how many of each kind are there?
Answer:
70 25 centavo pieces
60 5 centavo pieces
Step-by-step explanation:
Let x = number of 25 centavo pieces
y = number of centavo pieces
The total number of pieces is 130
x+y = 130
The total amount is 20.50
.25x+.05y =20.50
Solve for y
x+y = 130
y = 130-x
Substitute into
.25x+.05y =20.50
.25x +.05(130-x) = 20.50
Distribute
.25x +6.5-.05x = 20.50
Combine like terms
.2x +6.5 = 20.50
Subtract 6.5 from each side
.2x +6.5-6.5 = 20.5-6.5
.2x =14
Divide each side by .2
.2x/.2 = 14/.2
x = 70
Now we can solve for y
y = 130-x
y = 130-70
y = 60
Answer:
25-centavo: 70 coins
5-centavo: 60 coins
Step-by-step explanation:
x + y = 130
25x + 5y = 2050
5x + y = 410
y = 410 - 5x
x + 410 - 5x = 130
4x = 280
x = 70
y = 410 - 5(70) = 60
If BCDE is a rhombus, find the measure of
Answer:
GDE=47°
DGE=90°
so DEG=180°-137°=25°
Answer:
43°
Step-by-step explanation:
Every triangle adds up to 180.
Since it is a rhombus, the central angle is 90.
180 - 90 = 90
90 - 47 = 43
Old man Jenkins left 1/2 of his money to his grandkids and 1/2 of that amount to his kids. He left 1/6 to his wife and the remaining $1000 to his tiger. How much did he leave altogether?
Answer:
12000
Step-by-step explanation:
Jenkins had x dollars
He left 1/2 of that to his grandkids
He has x-1/2x = 1/x
He leaves 1/2 of that to his kids
1/2*1/2 x = 1/4x to his kids
His wife gets 1/6x
The rest is 1000
The total is
grand kids + kids + wife + 1000
1/2 x + 1/4x + 1/6x + 1000
He started with x
1/2 x + 1/4x + 1/6x + 1000 =x
Multiply each side by 12 to get rid of the fractions
12(1/2 x + 1/4x + 1/6x + 1000) =x*12
6x+3x +2x +12000= 12x
Combine like terms
11x +12000 = 12x
Subtract 11x from each side
11x-11x +12000 = 12x-11x
12000=x
Since he started with x, he left 12000 dollars
Answer:
$12,000
Step-by-step explanation:
Let total be X
X - ½X = remaining after giving to grand kids
½(X/2) = ¼X remaining after giving to children
¼X - ⅙X = (3X - 2X)/12 = X/12 after giving to wife
X/12 = 1000
X = 12,000
How many variable terms are in the expression 3x to the 3rd power y + 5x to the 2nd power + y + 9? (Input a numeric value only.)
Answer: 2
[tex]3x^3y+5x^2+y+9[/tex]
Chocolate sells for $4 a pound is mixed with nuts for 2.50 a pound. Together, they form a chocolate nut candy which sells for $3.50 per pound. How much of each are used to make 30 pounds of the mixture?
To solve this problem, we can set up a system of equations and use elimination to find the values of x and y. After solving, we find that 40 pounds of chocolate are used to make the 30-pound mixture.
Explanation:To solve this problem, we can set up a system of equations. Let's call the amount of chocolate used x pounds and the amount of nuts used y pounds. We know that the total amount of candy is 30 pounds, so we can write the equation x + y = 30. We also know that the cost per pound of chocolate is $4 and the cost per pound of nuts is $2.50, and the cost per pound of the candy is $3.50, so we can write the equation 4x + 2.50y = 3.50(30).
To solve this system of equations, we can use substitution or elimination. Let's use elimination. Multiply the first equation by 2.50 to match the coefficients of y. We get 2.50x + 2.50y = 75. Subtract this equation from the second equation: (4x + 2.50y) - (2.50x + 2.50y) = (3.50(30)) - 75. Simplify the equation to get 1.5x = 60. Divide both sides by 1.5 to find that x = 40. Now substitute this value of x into the first equation to find y. 40 + y = 30, so y = -10.
Since we can't have a negative amount of nuts, we know that our solution for y is extraneous. Therefore, 40 pounds of chocolate are used to make the 30-pound mixture.
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Convert 303 degrees to radians
Answer:
5.28835
Step-by-step explanation:
z=-302+19.3i?????????
Answer:
I don;t know what the question is but I know that z is an imaginary number.
Step-by-step explanation:
z=-302+19.3i
that means that it doesn't represent an actual number but is imaginary.
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25.
Identify three ways that ocean plants cycle carbon
In Scott’s backyard, he has a windmill that makes 5 ¾ of a turn every hour. How many turns does it make for 1 ½ hours?
Answer: 8 5/8 turns
Step-by-step explanation:
Hi, to answer this question we have to simply to multiply the number of turns that the windmill makes per hour (5 3/4) by the time asked (1 ½ hours).
Mathematically speaking:
5 3/4 x 1 1/2 = (5x4+3)/4 x (1x2+1)/2 = 23/4 x 3/2= 69/8 or 8 5/8 (mixed form)
In conclusion, the windmill makes 8 5/8 turns in 1 1/2 hours.
Jesse and Amir were assigned the same book to read for class. Jesse started
reading on Saturday, and he is reading 30 pages a day. Amir didn't start until
Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will
they each have read?
Let x represent the number of days Amir has been reading
Fill in the blanks to solve this problem as a system of equations.
304 S QUESTIONS
The system of equations that models this situation is
Select
Select
Using substitution to solve this system, the equation you will solve is
Select
The solution to the system of equations is
Select..
V
it will take emir
Select
days to caton up to Jesse
At thatt me each boy winave read
Select
pages
Answer:
he needs to catch up by 5 pages
Step-by-step explanation:
Answer:
1. y = 35x
2. y = 30x + 1
3. y = 35x
y = 30 x + 1
4. Its more convenient to substitute y because It's easier.
35x = 30(x + 1)
5. 35x = 30x + 1
35x = 30x + 30
35x -30x = 30
5x = 30
x = 6 (30/5 = 6)
35 x 6 = 210 (y)
6. Both people have read 210 pages and it takes amir 6 days to catch up.
Step-by-step explanation:
The perimeter of an isosceles is 162 feet the lenth of one side is 60 feet the other two sides are equal find the kenghts of the other two sides
Answer:
51 feet
Step-by-step explanation:
Since it's an isosceles triangle, the only side that would be unequal to the other two would be the base, so the base would be the side of 60 feet. Subtract that 60 feet from the given perimeter to get 102. Divide that number by two to get 51 feet as the lengths of the other two sides.
Answer:
Each of the other two sides are 51 feet.
Step-by-step explanation:
Take the perimeter, 162, minus one side, 60.
162 - 60 = 102
Divide 102 by 2 to find the length of each of the other two sides
102/2 = 51 feet
in ABC, AD is the angle bisector of /_BAC.
What is BD?
Enter your answer as a decimal,
? in.
Answer:
1.8
Step-by-step explanation:
ADC is a right angled triangle. So is ADB.
For right angled triangle ADC,
[tex] {ad}^{2} + {dc}^{2} = {ac}^{2} \\ {x}^{2} + {3}^{2} = {4}^{2} \\ {x}^{2} + 9 = 16 \\ {x}^{2} = 16 - 9 = 7 \\ x = \sqrt{7} [/tex]
For right angled triangle ADB,
[tex] {ad}^{2} + {db}^{2} = {ab}^{2} \\ 7 + {y}^{2} = {3.2}^{2} \\ 7 + {y}^{2} = 10.24 \\ {y}^{2} = 10.24 - 7 \\ {y}^{2} = 3.24 \\ y = \sqrt{3.24} \\ y = 1.8[/tex]
whats 1+1 x3 +1/5 +1/7 - 100+ 3
Answer:
Step-by-step explanation:
8.2 + 3 = 100
11.2 - 100
= - 88.8
Answer:
I think it's 92.6571429
Step-by-step explanation:
did the math
Find the distance between point K and point L.
Answer:
(-8,0) is the answer
Step-by-step explanation:
x,y = (-8,0)
or
x/y = -8/0
We use x,y = 8,0 if the relationship if it was between L and K
The question states '' between point K and point L'' so it becomes -8,0 for x,y relationship.
Have attached trigonometry word doc for some guidance with picture memory trigonometry non related for someone to print out.
Hope the above helped.
is (3,-3) a solution of y≤−5x+3y?
Answer:
No
Step-by-step explanation:
You want to know if (x, y) = (3, -3) is a solution to y ≤ -5x +3y.
SubstitutionPut the value where the variables are and see if the statement is true:
-3 ≤ -5(3) +3(-3)
-3 ≤ -15 -9
-3 ≤ -24 . . . . . . False. Therefore, (3, -3) is NOT a solution.
__
Additional comment
We can rearrange the inequality to make comparison easier:
5x ≤ 2y . . . . . . . add 5x-y to both sides
Since x is positive and y is negative, this cannot possibly be true.
Find the solution to the system of equations.y=-7x+3 y=-x-3
Answer:
x = 1; y = -4
Step-by-step explanation:
y = -7x + 3
y = -x - 3
since y = y then -7x + 3 = -x - 3
-7x + 3 = -x - 3
- 7x + 6 = -x (Because we add 3 to both sides)
x = 7x - 6 (Multiply both sides by -1)
-6x = -6 (Subtract 7x from each side)
x = 1
Answer:
7/3
Step-by-step explanation:
-3=-7x+3y
y=7/3+3y
7/3x-1
3x+3/7
=7/3
Is x greater than,less than,or equal to 37
Answer:
X is equal to 37
Step-by-step explanation:
The angle between lines a and b in image is 37 degrees.
The image shows a line segment with a label `37` above it and two arrows pointing in opposite directions. The arrows represent the two lines, a and b, which intersect at the midpoint of the line segment. The angle between the two lines is marked with an arc.
To find the angle between two lines, we can use the following formula:
tan(θ) = (m2 - m1) / (1 + m1m2)
where: θ is the angle between the two lines
m1 and m2 are the slopes of the two lines
In this case, the slopes of the two lines are equal, so the angle between them is 90 degrees. Therefore, the answer is 37 degrees.
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How many solutions does this system have? 2 x- 4 y = 8. x + y = 7.
Answer:
One solution: (6,1)
Step-by-step explanation:
2 x- 4 y = 8
x - 2y = 4
x = 4 + 2y
x + y = 7
4 + 2y + y = 7
3y = 3
y = 1
x = 4 + 2(1)
x = 6
One solution: (6,1)
Answer:
2 x- 4 y = 8
x + y = 7
y= 7-x-----------(1)
2 x- 4 y = 8
on substitution
=>2x -4(7-x)= 8
=>2x -28+4x = 8
=>6x= 36
=>x= 6
From (1)
y= 7-6= 1
Therefore, the system have 1 solution
(6,1)
Find the missing length of the triangle (I need a step by step answer please)
Answer:
c = 12.5
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem (a^2 + b^2 = c^2)
lets say 10 = a and 7.5 = b (this is because they are the legs of the triangle and variables a and b represent the legs of the triangle)
plug into the Pythagorean theorem.
10^2 + 7.5^2 = c^2
simplify (here you just square 10 and 7.5)
100 + 56.25 = c^2
simplify
156.25 = c^2
simplify
(here you get the square root of 156.25 and c^2, the positive square root of 156.25 is 12.5 and the square root of c^2 is c)
12.5 = c
Answer: 12.5
Step-by-step explanation: the pythagorean theorem is used to solve this equation theorem is (a x a) + (b x b) = (c x c) this is also called squaring
first substitute them in : (10 x 10) + (7.5 x 7.5) = (c x c)
then multiply 10 x 10 = 100 and 7.5 x 7.5 = 56.25 then substitute again
100 + 56.25 = (c x c) then add
156.25 = (c x c) then calculate the square root of 156.25 which is 12.5
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Student council at school would like to hold an end of the school year event for the eighth grade students they would like to know what’s students enjoy doing but do not have time to poll everybody Provide a suggestion for them to implement that would be unbiased
One unbiased suggestion is to create an online survey with a variety of activity options and allow students to anonymously vote for their preferences.
To ensure an unbiased approach in determining the activities for the end-of-the-school-year event, the student council can implement an online survey. This method allows all eighth-grade students to participate anonymously, eliminating potential biases based on social dynamics or peer pressure.
The survey should include a range of activity options, including both indoor and outdoor activities, sports, games, arts and crafts, and any other activities that may appeal to a diverse group of students. Additionally, students should have the option to suggest their own activity ideas to ensure that all interests are represented.
To further promote fairness, the survey should be distributed widely to all eighth-grade students through school email, online platforms, or even paper flyers if necessary. The survey should clearly state the purpose of gathering feedback and reassure students that their responses will be kept confidential.
After collecting responses, the student council can analyze the data to identify the most popular activity choices among students. This data-driven approach ensures that the end-of-the-school-year event reflects the interests and preferences of the majority of eighth-grade students, promoting inclusivity and fairness.
Overall, implementing an online survey provides an unbiased and transparent method for gathering feedback and making decisions about the event, ultimately enhancing the experience for all students involved.
One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.
Which of the following equations could be used to solve the problem?
A. x- 8x= 70
B. 8x - x= 70
C. x-8=70
Answer: A. x- 8x= 70
Step-by-step explanation: if x equals 10 then subsitute x for 10 in the equation this gets you 8(10) - 10 = 80
and 80 - 10 = 70 so
8(10) = 80
so 80 - 10 = 70
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