Answer:
w = (P/2) - l
Step-by-step explanation:
Given equation,
→ P = 2l + 2w
Now the value of w will be,
→ P = 2l + 2w
→ 2w = P - 2l
→ w = (P - 2l)/2
→ [ w = (P/2) - l ]
Thus, answer is w = (P/2) - l.
Which diagram shows the rotation Rc, -90 (ABCD) = A'B'C'D'?
The diagram that shows the rotation of rectangle ABCD by -90 degrees is; Option A
What is the translation transformation rule?
When we rotate positive 90 degrees, the rotation is said to be counterclockwise but when we rotate negative 90 degrees, the rotation is said to be clockwise.
Now, we want to find the rotation that correctly describes rotation of the rectangle ABCD by negative 90 degrees.
Thus, looking at the options, the only one that has the negative 90 degrees rotation that is clockwise will be option A because we see that when we rotate to the right which is clockwise, the first point is A which is exactly what is in option A.
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Veronica used this figure in her proof of the Pythagorean theorem.
Sum of the square of a and square of b should be equal to the square of c of pythagoras theorem is incorrect.
What is Pythagoras' theorem?
Pythagoras' theorem states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the hypotenuse (longest side). Mathematically, it can be expressed as a2 + b2 = c2, where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse.
hypotenuse²=opposite side²+Adjacent side²
Substitute the variables
So, c² = a² + b²
So, option c, which is the sum of the square of a and square of b should be equal to the square of c is correct.
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Two cities are 145 miles apart. A truck travels this distance in 2.5 hours. A car is 1.5 times as fast as the truck. How long does it take the car and the truck to meet if they leave at the same time and travel toward each other
The time it will take the car and truck to meet is 5hours
What is velocity?Velocity is the rate of change of displacement with time. It is a vector quantity and it is measured in meter per seconds but it can also be measured in other units like kilometers per hour and miles per hour.
Velocity = displacement/time
the velocity of the truck is 145/2.5 = 58miles per hour
the car is 1.5 times faster than the truck
this means the velocity of the car is 58× 1.5= 87miles per hour
displacement = velocity×time
total displacement = 145miles
displacement of car = 87t
displacement of truck = 58t
using addition of vectors
145=87t-58t
145= 29t
t = 145/29
t= 5hours
therefore at 5hours the car and the truck will meet
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What is the solution of the equation x2 - 12x = 8?
The solution of the equation is x = 6±2√11.
What is a quadratic equation?
The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem. In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
Here, we have
Given: x² - 12x = 8
Now, we factorize the given equation and find the solution.
x² - 12x = 8
x² - 12x - 8 = 0
We apply here the quadratic formula.
= (-b ±√b²-4ac)/2
= (12 ±√12²-4×1×(-8))/2
= (12±√144+32)/2
= (12±√176)/2
= (12±4√11)/2
= 6±2√11
Hence, the solution of the equation x² - 12x = 8 is 6±2√11.
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Find the inverse function in slope-intercept form (mx+b):
f(x) = -x + 6
switch the variables
x = -y + 6
x - 6 = -y
-x + 6 = y
someone please help me with this question it’s my last one!
Answer:
Step-by-step explanation:
okay so what I would do is multiply the denominator of 3 from 2/3 by 4 to get 12. So what you do to the bottom you have to do to the top so that fraction 2/3 will turn to 8/12.
Then I would multiply the denominator of 4 from 1/4 by 3 to get also get 12. And again what you do to the bottom you have to do to the top. So that fraction will be 3/12.
Ten you add them 8/12 + 3/12 = 11/12
Answer = 11/12
Which equations are true for x = –2 and x = 2? Select two options
O x2 – 4 = 0
O x2 = –4
O 3x2 + 12 = 0
O 4x2 = 16
O 2(x – 2)2 = 0
The only two options with equations that are true for x = –2 and x = 2 are;
Option A: x² - 4 = 0
Option D: 4x² = 16
How to identify the correct domain value?The domain of a function is the set of all input values for which the function is possible.
Now, we are given the domain values as x = –2 and x = 2.
a) x² - 4
f(-2) = (-2)² - 4
= 0
f(2) = (2)² - 2
= 0
b) x² = -4
f(-2) = (-2)²
= 4
f(2) = (2)²
= 4
c) 3x² + 12
f(-2) = 3(-2)² + 12
= 24
f(-2) = 3(2)² + 12
= 24
d) 4x²
f(-2) = 4(-2)²
= 16
f(2) = 4(2)²
= 16
e) 2(x - 2)²
f(-2) = 2(-2 - 2)²
= 32
f(2) = 2(2 - 2)²
= 0
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A sleep specialist wants to know if meditating before bedtime can help people fall asleep. In a study, he asked the subjects to meditate for various lengths of time just before going to bed.
The specialist tracked the subjects' meditation times, x, and how long it took them to fall asleep, y. Both times were recorded in minutes.
Answer:
whats the question?
Step-by-step explanation:
Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p? select three options. a = c a = d c = d b c = 180° b d = 180°
One of the alternatives isc=d because when a line meets two parallel lines, matching angles are created and the identical corners are congruent.
What are parallel lines?Coplanar, straight lines that don't intersect anywhere are considered parallel lines in geometry. Planes in the same three-dimensional space that never cross each other are said to be parallel. Curves that are parallel to one another and maintain a set minimum distance do not touch or intersect. Lines in a plane that consistently have the same separation are said to be parallel. Nothing can cross a parallel line. Lines that cross at a straight angle of 90 degrees are called perpendicular lines.
A = d is also a solution due to vertical angles. Finally, b+d=180 since b+c=180 and c=d, and b+d=180 as a result. The solution is therefore B,C,E, where a=d, c=d, and b+d=180.
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Geometry
It’s a a kite. Looking for x and y
We have to find the values of x and y. We know that one pair of opposite angles of a kite are equal. We know that the sum of all the angles of a quadrilateral is equal to 360 degrees. Therefore, the values of x and y are 80° and 110°.
A kite is a quadrilateral with two pairs of adjacent sides, congruent. A kite also has perpendicular diagonals, where one bisects the other. You can use either of these things to determine if a quadrilateral is a kite.
What is a kite in geometry terms?
The most general definition that is typically used: A kite is a quadrilateral in which one of its diagonals is its axis of symmetry. This definition is equivalent to the following one: A kite is quadrilateral that has two pairs of equal adjacent sides.
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52% of 128 is what?
How do I solve -3x-2y=5 and get the initial value and rate of change.
Answer:
-3/2
Step-by-step explanation:
[tex]-3x-2y=5 \\ \\ 3x+2y=-5 \\ \\ 2y=-3x-5 \\ \\ y=-\frac{3}{2}x-\frac{5}{2}[/tex]
Can anyone solve this proof?
The proof for the Base Angles Theorem is explained below:
What is meant by Base Angles Theorem?A triangle's opposite angles are congruent if its two sides are congruent. We shall build the angle bisector through the vertex angle of an isosceles triangle in order to demonstrate the Base Angles Theorem. We created two congruent triangles by building the angle bisector, and then we utilized CPCTC to prove that the base angles are congruent. Base angles: The angles that include the base of an isosceles triangle are known as the "base angles."
Any triangle with at least two congruent sides is said to be isosceles. Legs are the isosceles triangle's congruent sides. The base is the other side. Base angles are the angles formed between the base and the legs.
Given: [tex]\bar{ LM}[/tex]≅ [tex]\bar{LN}[/tex]
Prove: ∠M≅∠N
According to the figure,
Given,
[tex]\bar{ LM}[/tex]≅ [tex]\bar{LN}[/tex]
By the definition of mid-point,
O is the mid-point of [tex]\bar{MN}[/tex]
Now, by joining the two points determine and draw a line of [tex]\bar{LO}[/tex]
Now, Again by the definition of mid-point
[tex]\bar{MO}[/tex]≅[tex]\bar{NO}[/tex]
Now, by using reflexive property,
[tex]\bar{LO}[/tex]≅ [tex]\bar{LO}[/tex]
By SSS rule,
ΔLMO≅ΔLNO
By CPCTC rule,
∠M≅∠N
Hence proved.
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Construct a triangle with sides
equal to a and b and and having angle c included as the angle
The triangle with sides a and b and angle c is added as an attachment
How to construct the triangle with the given propertiesFrom the question, we have the following parameters that can be used in our computation:
Triangles with the following properties
Side lengths = a and b
Angle between the side lengths = C
The above parameters mean that
Side length BC = aSide length AC = bVertex C = Angle CAlso, the other angles and sides can be derived from the above parameters
So, we have
Side length AB = cVertex A = Angle AVertex B = Angle BNext, we construct the triangle
See attachment for the triangle
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A cryotherapy chamber uses extreme cold to reduce muscle soreness. A chamber is currently 0°F. The temperature in the chamber is dropping 2.5°F every second. Identify an inequality that represents the numbers of seconds $s$ that can pass for the temperature to drop below -20 °F
Answer: The answer is $s$ > 7, which represents the number of seconds that can pass for the temperature in the cryotherapy chamber to drop below -20°F.
Step-by-step explanation: The temperature in the chamber will drop below -20°F when it reaches -20°F + 2.5°F = -17.5°F.
The temperature in the chamber is currently 0°F, so we can represent this situation with the inequality 0 - (2.5 * $s$) < -17.5, where $s$ is the number of seconds that can pass.
We can simplify this inequality by multiplying both sides by -1 to get the following: 2.5 * $s$ > 17.5.
Dividing both sides by 2.5, we get the final inequality: $s$ > 7.
Therefore, the number of seconds $s$ that can pass for the temperature in the cryotherapy chamber to drop below -20°F is greater than 7 seconds.
2 Fractions equivalent to 2/6
The fractions 1/12 and 1/4 are equivalent to 2/6.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
Given that,
Two fractions are equivalent to 2/6.
There can be many fractions which are equal to 2/6.
Let one fraction is 1/12,
And other fraction is x,
So, according to given condition,
x + 1/12 = 2/6
x = 2/6 - 1/12
x = 3/12
x = 1/4
The required fractions are 1/12 and 1/4.
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Please answer I’m desperate
Answer: x = 3 and y = 4
Step-by-step explanation:
Step: Solve x + y= 7 for x:
x + y = 7
x + y + −y= 7+−y
x = −y + 7
Step: Substitute −y + 7forxinx+2y=11:
x + 2y = 11
−y + 7 + 2y = 11
y + 7 = 11
y + 7 + −7 = 11 + −7
y=4
Step: Substitute 4 for y in x = −y + 7:
x = −y + 7
x = −4 + 7
x = 3
Answer:
x = 3 and y = 4
Hope I did it right
X² + 3x + y = 0
2x+y=5
Solve for x and y by substitution
The square root of a negative number is not a real number, this system of equations has no solution.
What is the system of equations?
A system of linear equations is a set of two or more equations that includes common variables. To solve a system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
To solve for x and y, we can start by solving one of the equations for one of the variables. Let's solve the second equation for y:
2x + y = 5
y = 5 - 2x
Now we can substitute this expression for y in the first equation to get an equation in terms of x:
x² + 3x + (5 - 2x) = 0
x² + 3x + 5 - 2x = 0
x² - x + 5 = 0
We can then solve this equation for x using the quadratic formula:
x = (-3 ± √(9 - 20))/2
x = (-3 ± √(-11))/2
Hence, the square root of a negative number is not a real number, this system of equations has no solution.
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Translate: "five less than the product of a number and 6 is at least 8"
Answer:
yx6-5= greater than or equal to 8
Step-by-step explanation:
math brain
Which of the following equations has a solution of −7?(1 point)
4x−23=5
5x+11=−24
−x+3=−4
−3x−8=−29
To secure a 500-meter radio tower against high winds,
guy wires are attached to the top of the tower. Each wire
forms a 15° angle with the top of the tower. Find the length
of the wire from the tower to its anchor in the ground.
Answer: To find the length of the wire from the tower to its anchor in the ground, you can use the formula for the length of a side in a 30-60-90 triangle. Since the angle between the wire and the tower is 15°, the angle between the wire and the ground is 75° (90° - 15°). This means that the wire and the tower form a 30-60-90 triangle.
In a 30-60-90 triangle, the side opposite the 30° angle is half as long as the hypotenuse, and the side opposite the 60° angle is half as long as the side opposite the 90° angle. Since the wire is the hypotenuse of the triangle, and the wire is opposite the 60° angle, the length of the wire from the tower to its anchor in the ground is half as long as the hypotenuse.
Therefore, the length of the wire from the tower to its anchor in the ground is 500/2 = 250 meters.
Passing a class with good grades is an example of a ____ goal
Answer:
Long term
Step-by-step explanation:
I'm not exactly sure what kind of answer you're looking for here, but I tried my best in thinking maybe you meant long term or short term. Typically classes are either a quarter, semester, or a full year long which makes passing them a long term goal because it's something that takes time and you have to actively work at it
The table shows the cost for different numbers of baseballs. Number of Baseballs Cost 3 $12 6 $24 9 $36 12 $48 Question What is the cost per baseball? Answer options with 5 options A. $3 B. $4 C. $7 D. $9 E. $12
Answer:
B. $4
Step-by-step explanation:
The table shows the cost for different numbers of baseballs. Number of Baseballs Cost 3 $12 6 $24 9 $36 12 $48 Question What is the cost per baseball?
A. $3
B. $4
C. $7
D. $9
E. $12
12/3 = 4
24/6 = 4
36/9 = 4
48/12 = 4
Answer: B $4
Step-by-step explanation:
The table shows the cost for different numbers of baseballs. Number of Baseballs Cost 3 $12 6 $24 9 $36 12 $48 Question What is the cost per baseball?
A. $3
B. $4
C. $7
D. $9
E. $12
[tex]\frac{12}{3} = 4\\\\\frac{24}{6} = 4\\ \\\frac{36}{9} =4\\\\\frac{48}{12} = 4[/tex]
Hence, the right answer is B, $4
if two events are complementary, they must also be mutually exclusive events. group of answer choices true false
The statement that is if two events are complementary, they must also be mutually exclusive events is False.
Because not all mutually exclusive occurrences are necessarily complimentary, whereas all complementary events are mutually exclusive.
Mutually excusive events are those events that do not occur at the same time.
Complementary events are those two events which are the only possible events.
Since P(A) + P(B) =1, A and B are possible events.Hence A and B are mutually exclusive and complementary events
Therefore the statement is false.
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Make
p the subject of the formula q - 2p = p + 4
Answer:
p = q - 2p - 4
Step-by-step explanation:
q - 2p = p + 4 ( isolate p on the right by subtracting 4 from both sides )
q - 2p - 4 = p
What is the product of the two largest one-digit primes and the largest two-digit prime?
Answer:
see below
Step-by-step explanation:
A prime number is a whole number that cannot be exactly divided by another number other than itself and 1.
The two largest one digit prime numbers are 7 and 5. The product of them is 7×5=35.
The two largest two digit prime numbers are: 89 and 97.
89×97=8633
The function f(x) = 2* and g(x) = f(x + k). If k = -5, what can be concluded about the graph of
g(x)?
1.) The graph of g(x) is shifted vertically
o 5 units above the graph of f(x)
o 5 units below the graph of f(x)
o the graph is not shifted vertically from the graph of f(x)
2.) The graph of g(x) is shifted horizontally
o 5 units to the left of the graph of f(x)
o 5 units to the right of the graph of f(x)
o the graph is not shifted horizontally from the graph of f(x)
The graph of g(x) is shifted vertically by 5 units below the graph of f(x). The graph of g(x) is shifted horizontally by 5 units to the left of the graph of f(x)
What can be concluded about the graph of g(x)?Given: f(x) = 2x and g(x) = f(x + k). If k = -5
Subtituting k = -5, we have:
g(x) = f(x -5) = 2(x-5)
The graph of g(x) is shifted vertically by 5 units below the graph of f(x)
The graph of g(x) is shifted horizontally by 5 units to the left of the graph of f(x)
To see this, we can consider the value of x = 0 for both functions. For f(x), f(0) = 20 = 0. For g(x), g(0) = f(-5) = 2(-5) = -10. Thus, the value of g(0) is 5 units below the value of f(0).
Similarly, the value of x = 5 for f(x) is f(5) = 25 = 10, while the value of x = 0 for g(x) is g(0) = f(-5) = 2(-5) = -10. Thus, the value of x = 5 for f(x) is 5 units to the right of the value of x = 0 for g(x).
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B
A
C
The included side between ZA and ZC is side
The included side between ZA and ZB is side
The included side between ZC and ZB is side
>
Answer:
1. AC
2. AB
3. CB
When solving an equation, Henry gets to the last line of his work and is left with “3 = 3”. What does this mean? * 4 points A. The solution is 3. B. There is only one solution. C. There is no solution. D. There are infinite solutions.
This mean there are infinite solutions.
What does this mean?Each side is equally satisfied in an endless solution. Infinite is a symbol for boundlessness or limitlessness. Typically, the sign "" is used to denote it.
Solving an equation, Henry gets to the last line of his work and is left with “3 = 3”.
Any value for the Variable would make the equation true, according to infinite solutions.
We can tell which instance it is by examining our findings. If both sides of the equal sign end up having the same word,
such as
3=3 or 3x=3x, then. Finite solutions exist.
This mean there are infinite solutions.
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Mia went into a grocery store and where they sell apples for $2 each and mangos $1.50 each. Let x represent the number of apples and y represent the number of mangos she can buy.
Problem part 1: Mia has $20 to spend. Which inequality can be used to represent this situation?
Problem part 2: If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy.
The inequality that can be used to represent this situation is 2x + 1.50y ≤ 20.
The maximum number of apples she can buy is 7 apples.
How to represent inequality?Mia went into a grocery store and where they sell apples for $2 each and mangos $1.50 each.
where
x = number of applesy = number of mangoesTherefore, let's represent the inequality when Mia has to spend 20 dollars.
2x + 1.50y ≤ 20
If Mia decide to buy 3 mangoes , the maximum number of apples she can buy can be calculated as follows:
2x + 1.50y ≤ 20
2x + 1.50(3) ≤ 20
2x + 4.5 ≤ 20
2x ≤ 20 - 4.5
2x ≤ 15.5
x ≤ 15.5 / 2
x ≤ 7.75
Therefore, the maximum she can buy is 7 apples.
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