The given algebraic expressions 5xy and -8xy are like terms because of the similarity in their variable and it's power.
As per the question statement, we are given algebraic expressions 5xy and -8xy and we are supposed to tell whether these two terms are like or not.
We know that in Algebra, the phrases or terms that include the same variable and are raised to the same power are referred to as "like terms."
Hence as the variable part in the expressions, 5xy and -8xy, are same hence they can be added and subtracted hence are called like terms.
Algebraic expressions: An expression which is constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)Like terms: The definition of similar words is the terms that have the same variable raised to the same power. Only the numerical coefficients can alter in terms that are similar to algebra. We may combine similar words to make algebraic expressions simpler, making it much simpler to determine the expression's outcome.
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9+8-12=?
A) 5
B) 6
C)7
D)8
Answer:
The answer is A) 5.
Answer:
so 9+8 is 17 and 17 - 12 is 5
What is the y-intercept of =−3−7xy
The y-intercept is (0, -3)
The y-intercept is the point where the line on the graph cuts the y-axis.
To find the y-intercept, we let x equal to zero and solve for y.
y = -3 - 7x (given equation)
Substitute x = 0 in the equation,
y = -3 - 7(0)
y = -3 - 0
y = -3
Thus we can conclude that the y-intercept for the given equation y = -3 - 7x is (0, -3).
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Jenna thinks of a square number less than a hundred.doug thinks of a cube number less than hundred. the difference between their number is 15 .work out which numbers they each thought of
Jenna thought of the number 49, square of seven and less than 100 and Doug thought of 64 which is less than 100 and cube of 4.
What square and cube?Squares are the results of multiplying a number by itself. For example, 3 3 = 32 = 9 is the square of 3.
Cubes are the results of multiplying a number by itself three times, i.e. three times. For example, the cube of 3 is 3 3 3 = 33 = 27.
There are some perfect cubes that also happen to be perfect squares. For example, 64 is a perfect square and cube number because 82 equals 64 and 43 equals 64.
Let the the square number be x
and the cube number be y
There are only 4 possible cube numbers between 1 to 100 that is
1, 8, 27 and 64
now we need to check if
x - y = 15
let 64 be x
64 - y = 15
y = 64 - 15
y = 49
Lets see if 49 is square or not
√49 = 7
Thus, y = 49
Therefore, Jenna thought of the number 49 square of seven and less than 100 and Doug thought of 64 which is less than 100 and cube of 4.
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ZA and ZB are vertical angles with mZA= x and mZB= 3x - 60. What is mZA? Enter your answer in the box. O Next
we know that
vertical angles are congruent
that means
msubstitute the given values
x=3x-60
solve for x
3x-x=60
2x=60
x=30
Find the measure of angle A
mtherefore
m
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Answer: the volume of cube is 64 x6 + 144x4 + 108x2 + 27.
Step-by-step explanation:
As given in the problem statement the volume
V = s3----- (1)
And
s = 4x2 + 3--------(2)
Hence,
the volume is obtained by substituting (2) in (1).
We get,
V = (4x2 + 3)3
= 64 x6 + 144x4 + 108x2 + 27
Therefore,
the volume of cube is 64 x6 + 144x4 + 108x2 + 27
A
A ladder is leaning against a vertical wall. The distance from the top of
the ladder to the base of the wall is 10 feet. The length of the ladder is
13 feet. What is the distance from the base of the wall to the bottom
of the ladder? Provide an answer accurate to the nearest tenth.
label required
8.3 x is the distance from the base of the wall to the bottom of the ladder
Explain about the Pythagorean Theorem?Using the sum of the areas of three intersecting squares, the Pythagorean Theorem shows how to get the side lengths of a right triangle. This theorem is an extremely useful technique that forms the basis for more complicated trigonometry concepts like the inverse of the Pythagorean theorem.
To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula c2 = a2 + b2, where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.
In two dimensions, the Pythagorean Theorem is helpful for navigation. You may calculate the shortest distance using it and two lengths. The two legs of the triangle will be north and west, and the diagonal will be the shortest line separating them. Air navigation can be done using the same ideas.
Therefore,
x =8.3 feet
Detailed explanation:
13² = 10² + x² according to the Pythagorean Theorem.
169 - 100= 69
69 = x²
8.3 = x
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Question
34. Several students from Southbend Middle School are visiting the Smithsonian American Art Museum. Mrs. Mabika divided the students into 5 equal groups. There are 3 boys and 4 girls in each group. Fill in the missing numbers to find the total number of students.
Formula
__×(__+4)=__
The missing numbers to find the total number of students are 5 and 3. The equation that represents the total number of students is 5×(3+4)=35.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that Mrs. Mabika divided the students into 5 equal groups. and there are 3 boys and 4 girls in each group.
We have to find the total number of students by filling in the missing number from the given data as,
⇒5×(3+4)=35
We will add the number first in the brackets, the sum of the numbers is 7, and multiply the obtained number by 5 we get 35 as the total number of students.
Thus, the missing numbers to find the total number of students are 5 and 3. The equation that represents the total number of students is 5×(3+4)=35.
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If a₁ = 2 and aₙ = aₙ₋₁ - 4, then find the value of a4.
Answer
a₄ = -10
Explanation
If a₁ = 2 and aₙ = aₙ₋₁ - 4, then find the value of a₄.
We already know that
a₁ = 2
a₂ = a₁ - 4
a₃ = a₂ - 4
a₄ = a₃ - 4
Doing the substitutions
a₂ = a₁ - 4
a₂ = 2 - 4 = -2
a₃ = a₂ - 4
a₃ = -2 - 4 = -6
a₄ = a₃ - 4
a₄ = -6 - 4 = -10
Hope this Helps!!!
HELP!!!!!ASAP!!!!! I'M ON A TIMER 30 pts. to whoever is BRANLIEST
Which statement is true for the net and the solid it will form when it is folded?
Answer: Its B Glad to help
Step-by-step explanation:
Area of triangle help
Hello,
The formula of triangle is 1/2 x b x h where b is base and h is height. We know from the diagram that base is 25 cm and height is 10 cm.
Substitute in the formula:
[tex]\displaystyle{A=\dfrac{1}{2}\cdot 25\cdot 10}\\\\\displaystyle{A=25 \cdot 5}\\\\\displaystyle{A=125 }[/tex]
Therefore, the area is 125 cm². Please let me know if you have any questions!
What is the image of (2 , 3) after a reflection over the line y = − x y=−x?
The most appropriate choice for reflection will be given by-
New image of (2, 3) after reflection about y = -x is (-3, -2)
What is reflection?
Reflection of a figure about a line is a transformation in which a mirror image of the figure can be obtained over the line.
The line is called the line of reflection.
When point (x, y) is reflected about y = -x, the new coordinate will be (-y, -x)
So,
New image of (2, 3) after reflection about y = -x is (-3, -2)
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The midpoint of \overline{\text{AB}}
AB
is M(2, 0)M(2,0). If the coordinates of AA are (7, -2)(7,−2), what are the coordinates of BB?
Coordinates of Point B is (-3 , 1)
To find Coordinates :
M is midpoint of AB
Coordinates of A is (7,-2)
Coordinates of M is (2,0)
Let the coordinates of B are (x,y)
To find coordinates of B :
[tex]\frac{x + 7}{2} = 2[/tex] [tex]\frac{y + (-2)}{2}= 0[/tex]
x + 7 = 4 y+ (-1) = 0
x = - 3 y = 1
coordinates of B is (-3 , 1)
Definition of coordinate :
Coordinates are two numbers or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).To learn more about Coordinates refer :
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PLEASE HELP!!!!!
The graph shows the distance of a car traveling along a straight road for 8 hours. A positive velocity is motion to the right, and a negative velocity is motion to the left.
11. Determine the rates of change in distance with respect to time.
12. Between what two times is the car not moving
13. Between what two times is the car traveling to the right?
13. Between what two times is the car traveling to the left?
13. Between what two times is the car traveling the fastest?
What does the x-intercept (8, 0) represent in this situation
The graph of the distance traveled by the car to the time taken during the 8 hours along the straight road gives;
11. The rates of change between the following times, t, are;
t = 0 and t = 2 the rate of change is 30 mpht = 2 and t = 3 the rate of change is 60 mpht = 3 and t = 4 the rate of change is 0 mpht = 4 and t = 8 the rate of change is -30 mph12. The car is not moving between times 3 and 4 hours
13. The car is traveling to the right between times 0 and 3 hours
14. The car is traveling to the left between times 4 and 8 hours
15. The car is traveling fastest between times 2 and 3 hours
What is a distance–time graph?A distance–time graph is one that shows the variation of the distance traveled with respect to time, such that a positive distance traveled indicates a forward distance and a negative distance traveled indicates reversed motion.
The points on the graph in the possible question obtained online are;
(0, 0), (2, 60), (3, 120), (4, 120), (8, 0)
From the above points, the attached graph is constructed using Sheets
11. The rates of change in distance with respect to time are;
[tex] \displaystyle { \frac{ (\triangle d)_{1} }{ \triangle t} = \frac{60 - 0}{2 - 0} = 30}[/tex]; Velocity = 30 mph[tex] \displaystyle { \frac{ (\triangle d)_{2} }{\triangle t} = \frac{120 - 60}{3 - 2} = 60}[/tex]; Velocity = 60 mph[tex] \displaystyle { \frac{ (\triangle d)_{3} }{\triangle t} = \frac{120 - 1200}{4 - 3} = 0}[/tex]; Velocity = 0 mph[tex] \displaystyle { \frac{ (\triangle d)_{4} }{\triangle t} = \frac{0 - 120}{8 - 4} = - 30}[/tex]; Velocity= -30 mph12) When the car is not moving, we have that the rate of change of distance with time is zero, that is the car's distance does not change with time.
The two times between which the car is not moving is between the 3 hour and 4 hour points on the graph
13. The velocity of the car is given by the rate of change of the distance with time of the car
The positive rate of change on the graph is given between the times 0 and 3 hours after the car starts motion.
The car is traveling to the right between times, t = 0 and t = 3
14. The car has negative rate of change and therefore, negative velocity, and therefore also the car is moving to the left between times, t = 4 hours, and t = 8 hours
15. The car is traveling fastest when the rate of change of the car's distance traveled with time is highest, which is given by the times between t = 2 hours and t = 3 hours in which the car is traveling at 60 miles per hour
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please anyone help!!
Answer:
7000 degree per second.
Step-by-step explanation:
To convert degree per millisecond to degree per second, multiply the angle/time value by 1000.
[tex]7 \ degree \ per\ millisecond = 7*1000 \ \dfrac{degrees}{second}[/tex]
= 7000 degrees per second.
its functions ill give uu crown
The correct graphs of the puzzles/problems are
1 - B
2 - A
3 - E
4 - D
5 - C
The correct code is BAEDC.
Graphical Representation in Mathematics
It helps to study the relationship between two variables where it helps to measure the change in the variable amount with respect to another variable within a given interval of time. It helps to study the series distribution and frequency distribution for a given problem.
The correct graphs of the puzzles/problems are
1 - B
2 - A
3 - E
4 - D
5 - C
Therefore the correct code is BAEDC.
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EASY POINTS:
this has become a very popular question so i'm re posting it and whoever can solve it first gets 50 points (or higher)
part 1: explain what reflections are in your own words
part 2: solve - p'(5, -4) for the glide reflection where the translation is (x,y) -> (x - 2, y - 3) and the line of reflection is y = -x
Part 1:
Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point. E.g. Triangle P has been reflected in the line x = 4 x=4 x=4 to give Triangle Q.
Part 2:
1,10) is the glide reflection of point A(-5,-4).
0.06 is 10 times Blank
Answer:
0.006
Step-by-step explanation:
Multiply 0.006 by 10.
0.006 x 10 = 0.06
Answer = 0.006
Hope this helps!
Btw, could I get Brainliest? Thanks!
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time 2.25 minutes.
Using the uniform distribution, it is discovered that there is a 0.625 = 62.5% chance that a randomly picked passenger will have to wait longer than 2.25 minutes.
The boundaries of a uniform distribution are a and b.
The likelihood of discovering a value greater than x is:
P(X > x) = (b - x)/(b - a)
In this problem, the time is equally distributed between 0 and 6 minutes, so.
a=0
b=6
P(X > 2.25) is the probability of a time larger than 2.25 minutes, so:
P(X > x) = (6 - 2.25)/(6 - 0) = 0.625
A randomly picked passenger has a 0.625 = 62.5% chance of waiting longer than 2.25 minutes.
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1. Find the value of X
2. Find the measure of RSM
3. Find the measure of PTU
4. List all the angles congruent to RSM
5. List all angles congruent to PTU
The value of X is 13 .
the measure of RSM is 99°.
the measure of PTU is 99 °.
The angles congruent to∠ RSM are ∠STP , ∠OTU and ∠NST.
The angles congruent to ∠PTU are ∠STQ , ∠RSN and ∠MST.
What are the properties of parallel lines?When two lines do not cross at any point in a plane, they are said to be parallel. A pair of lines that never cross paths and do not have a common junction point are said to be parallel. Parallel lines are represented by the symbol "||".
Any two parallel lines can be separated by a consistent amount of perpendicular space.
Lines that run parallel to one another do not intersect. Parallel lines intersect at infinity is another way of putting it.
Pairs of angles are created when a transversal connects two parallel lines, for example:
Corresponding anglesAlternate interior anglesAlternate exterior anglesVertically opposite anglesLinear pairTwo lines are said to cross at a point in a plane when they do so, which is referred to as an intersection of lines.
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Tommy earned $3,600 last summer helping his buddy at the beach club. He spent $1,860 dollars on a new computer. About what percent of his summer earnings did Tommy spend on his computer?
Help #3 I need this by tonight
Answer:
The answer is the third option.
Step-by-step explanation:
3: Find the slope:
(2, 18), (4, 28)
Answer:
5
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
Slope = (28 - 18) / (4 - 2)
Slope = 10 / 2 = 5
Answer:
5
Step-by-step explanation:
5 is your answer because if you plot these on a graph you would know how many points there are in between them and there are 5
i hope this helps :)
IXLl-Additive property of length
The value of x will be 1.
What is Line segment?
A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
Given that;
Point D is lie on the between C and E.
The value of CD = 4x
The value of DE = 19x - 12
The value of CE = 11
Now,
Since, D is lie is between C and E.
So, We can formulate;
CD + DE = CE
Substitute all the values, we get;
⇒ 4x + (19x - 12) = 11
Solve for x;
⇒ 4x + (19x - 12) = 11
Combine like term;
⇒ 23x - 12 = 11
Add 12 we get;
⇒ 23x = 11 + 12
⇒ 23x = 23
Divide by 23, we get;
⇒ x = 1
Therefore, The value of x will be 1.
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What type of triangle has side lengths of 2 in, 5in, and 6in?
This is Scalene triangle which has side lengths of 2 in, 5in, and 6 inches.
On the basis of the length of the sides, triangles are divided into 3 types.
What is Equilateral Triangle?
Equilateral triangle is defined as the type of triangle having all the sides equal.
What is the Isosceles Triangle?
Isosceles triangle is defined as the type of triangle having any two sides equal and one unequal.
What is the Scalene Triangle?
Scalene triangle is defined as a type of triangle having all the three sides unequal.
Thus from the above conclusion we can say that this is a Scalene triangle as all the three sides are of different lengths
i.e. 2 inches, 5 inches and 6 inches.
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pls help me anwser the following question will mark brainliest
The slope of the line is related to A, B and C by relation; -(A/B).
What is termed as the equation of line?A line's equation can be formed using the slope of that line and a point just on line. The slope of a line is its inclination with respect to the positive x-axis, and it is conveyed as a numeric integer, portion, or even the tangent of a angle it makes with respect to the positive x-axis. The standard form of a line equation is ax + by + c = 0. The coefficients are a and b, the variables are x and y, and the constant term is c. It is a one-degree equation with variables y and x.For the given question;
The equation of the line is given as;
5x + 2y = 10, which is written in form of Ax + By = C.
Where, A, B and C are the constant.
Write the equation in the point slope form as;
Ax + By = C
By = -Ax + C
y = -Ax/B + C/B
In which, (-A/B) is the slope of the line and C/B is the y-intercept.
Thus, the slope of the line is related to A, B and C by relation; -(A/B).
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Which statement describes the basis for the proof that vertical angles are congruent?
The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.
In the provided figure.
∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)
∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)
According to transitive property, if a = b and b = c then a = c
Therefore,
∠1 + ∠2 = ∠1 + ∠4...(iii)
⇒∠2 = ∠4
Similarly, we can prove that
∠1 = ∠3
Therefore, we conclude that vertically opposite angles are always equal.
Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".
Thus, statement c is correct.
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LESSON 4 SESSION 2
Dario looks at the parallelogram and writes the expression (x + 3)(9).
a. Is Dario's expression a sum, a product, a difference, or a quotient?
Explain.
b. What are the factors of the expression (x+3)(9)? What does each factor
represent about the parallelogram?
c. What does the expression (x + 3)(9) represent? Why?
Part a: Dario's expression is product.
Part b: Factors of expression is (-3).
Part c: Expression (x + 3)(9) represent area of parallelogram.
What is meant by the term parallelogram?A parallelogram is a type of quadrilateral with opposite pairs of sides that are parallel and equal.The formula A = bh gives the area of a parallelogram, where b is the length of a base and "h" is the height.The perimeter of the a parallelogram is equal to the sum of the four side lengths. Because a parallelogram's opposite sides are equal, its perimeter can be demonstrated as 2 x a sum of adjacent sides, namely, 2 (AB + BC).For the given question;
The expression written by Dario for the parallelogram is (x + 3)(9).
Part a: Dario's expression;
The expression (x + 3)(9) is a form of multiplication or product because (x + 3) getting multiplied by (9).
Part b: Factors of expression;
For the expression (x + 3)(9), the factor are number which will make the expression zero.
(x + 3)(9) = 0
x = -3
Thus, factor is -3.
Part c: The expression (x + 3)(9) represents;
The expression (x + 3)(9) represents the area of the parallelogram as (x + 3) and (9) can be taken as the base and the height which given the area on multiplication.
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Find the length of side x in simplest radical form with a rational denominator.
CAN SOMEONE PLEASE HELP ME ON THIS
Investment X gives a greater amount of $50.40 over a period of two years
Investment X:
Principal amount invested = $6000
Time in years = 2 years
Rate of interest = 4.5%
Type of interest: Simple
Finding the interest using the formula for simple interest:
Simple interest = P*R*T/100
where P = principal invested
R = rate of interest
T = time in years
Substituting the values we get:
Simple interest = 6000*4.5*2/100
= $540
Investment Y:
Principal amount = $6000
Time in years = 2 years
Rate of interest = 4%
Finding the interest using the formula
Compound interest = P(1+r/100)^n - P
where P = principal amount invested
r = rate of interest
n = number of years
Substituting the values in the formula we get:
Compound interest = 6000(1+4/100)^2-6000
= (6000*1.0816)-6000
=$489.6
So, the difference in amount = 540-489.6 = $50.40
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On Friday, Javier sold 8 5/6 pitchers of lemonade from his lemonade stand. On Saturday, he sold 2 5/6 times as much lemonade as on Friday. How many pitchers of lemonade did Javier sell on Saturday?
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The number of pitchers of lemonade sold on Saturday is [tex]25\frac{1}{36}[/tex].
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Friday:
Number of lemonade sold = [tex]8\frac{5}{6}[/tex]
Saturday:
Number of lemonade sold = [tex]2\frac{5}{6}[/tex] times of Friday
The number of lemonade sold on Saturday:
= [tex]2\frac{5}{6}[/tex] x [tex]8\frac{5}{6}[/tex]
= 17/6 x 53/6
= 901/36
= [tex]25\frac{1}{36}[/tex]
Thus,
The number of pitchers of lemonade sold on Saturday is [tex]25\frac{1}{36}[/tex].
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