Two parallel lines called the x axis and the y axis are employed for graph or plot points. The x axis is on the horizontal number line, while the y axis is on the vertical line. The positive and negative axes of the x axis are arranged to the right and left of the origin, respectively.
The following format is employed to plot a point's coordinates: (x, y). As is evident, the x-coordinate is frequently placed first. For example, we have determined the x and y coordinates for the respective points B and D in the diagram we have been using. Point B's x-coordinate is 100.
Any position on the plane may have its x- and y-coordinates established using its horizontal and vertical distances from the origin. In essence, what we do when we sketch a point is the complete antithesis of what we do here.
Labelling:
Our x-coordinate is as follows:
Positive if it's in the appropriate area of our plane.
If it is on the left side of our plot, it is not ideal.
If it is on the x-axis, then it is 0.
Our y-coordinate is as follows:
If it is in the top part of our plot, it is a good indicator.
If it is in the bottom part of our plot, it is not good.
If it is on the y-axis, it will be 0.
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An equilateral triangle has a perimeter of 12x+33. What is the length of each side of the triangle?
The length of each side of the triangle is 3 2/3 units
What is an equilateral triangle?An equilateral triangle can be defined as a type of triangle having all three sides of equal length.
It is also known as a regular triangle.
Unlike other triangles, an equilateral triangle is one having not only two sides equal like an isosceles triangle but all of its sides equal in length.
The formula for perimeter of an equilateral triangle is expressed as;
P = 3x
Where;
P is the perimeterx is the length of its sideSubstitute the values
12x + 33 = 3x
collect like terms
12x - 3x = 33
substract the like terms
9x = 33
Make 'x' the subject
x = 33/9
x = 3 2/3 units
Hence, the value is 3 2/3 units
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What are the 3 steps to solve a complex fraction?.
To simplify a complex fraction, we use the following steps:
1- Use various rules of fractions to simplify both the numerator and denominator into a simple fraction. Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator.
2- Use the following rule to evaluate the result.
3- If needed, simplify the rational expression.
A complex fraction in mathematics is one that has another fraction in either the numerator, the denominator, or both. Simplifying difficult fractions is frequently helpful when working with them. This may be accomplished by utilizing a few straightforward procedures and different fractional rules.
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Is it exponential decay if the exponent is negative?.
Answer:
either the exponent is "negative" or else the base is between 0 and 1.
Step-by-step explanation:
Answer: Yes, but it's also exponential decay if the base if between 0 and 1.
Step-by-step explanation: I hope this helps!
What is a polynomial equation explain and give 2 examples?.
A polynomial equation is an equation that consists two or more algebraic terms including at least one variable and constants through the algebraic operation ( addition, substraction, and multiplication).
A polynomial is defined as an equation that has at least one algebraic term with at least one variable and all exponents are integers greater than or equal to 0. The polynomial equation is expressed in the form of aₙ(x), here a is the coefficient, x is the variable and n is the exponent and expanded form is ; F(x) = aₙxₙ + aₙ₋₁ xₙ₋₁ + …….. + a₁x +a₀ = 0
Types of Polynomial Equation : A polynomial equation has mainally four types;
Monomial Equations : ax + b = 0Binomial Equations : ax² + bx + c = 0Cubic Equations : ay³ + by² + cy+ d= 0Quadratic Polynomial Equations : ax² + bx + c = 0 , a≠0 Cubic Polynomial EquationExample of polynomial equations are the following: 1) 3y² + 5y + 20 = 0
2) 5x² - 6x + 9 = 0
3) x² - 3x + 2 = 0
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Trigonometry SOH CAH TOA can someone help me find X and explain it so i learn it? tyy
Bernardo originally had 48 customers on his paper route. Through a newspaper sales promotion, his customer base increased to 56. What was the percentage of increase over the original number of customers?
Answer: 16.6667
Step-by-step explanation:
(48 × p) / 100 = 8
((48 × p) / 100) × 100 = 8 × 100
48p = 800
48p / 48 = 800 / 48
p = 16.6666666666667
Percent Increase ≈ 16.6667
Rectangle A B C D is transformed by a combination of two transformations so that all points on AB are invariant and there are no other invariant points.
The first transformation is
a reflection in the line with equation y = k, where ‘k’
is an integer and k ≠1
Describe fully the second transformation.
(2 marks)
It is a translation by vector
(?)
Dilation is the process by which rectangle ABCD becomes another rectangle ABCD.
What is invariant transformations?When the predictions of physical laws remain unaltered, they are considered to be invariant under transformations.This typically means that no new or different solutions are discovered since the law's form (such as the kind of differential equations used to represent it) remains unchanged via modifications.An altered rectangle's dimensions and orientation are called transformation.Dilation is the process by which rectangle ABCD becomes another rectangle ABCD.We infer from the question that the sizes of the two figures are proportionate rather than equal.The transition is a dilation since the sizes are proportionate but not equal.Consequently, (a) dilation is the best choice.To learn more about invariant transformations refer
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The Helping Hand Student Club et a goal to raie $2,000 by the end of the chool year for a project. After 3 month, it reache 37% of it goal. How much wa raied during the firt 3 month?
Using the percentage, the amount raised in the first three months is $840
How can I calculate the money raised in three months?
By the conclusion of the academic year, the Helping Hands Student Club hoped to have raised $3,000 for a project.
It has attained 28 percent of its objective after three months.
The following formula can be used to determine how much was raised within the first three months:
amount raised = 28% × 3000
amount raised = 28 / 100 × 3000
amount raised = 84000 / 100
Therefore,
the amount raised in the first three months = $840
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Construct a square ABCD in which diagonal AC=6cm
Step-by-step explanation:
1. Draw the diagonal BD of length 6 cm as base.
2. Draw perpendicular bisector of DB which intersects DB at O.
3. Take O as centre and draw an arc of 3 cm above and below the line segment BD.
4. Join A, B, C and D.
Hence, ABCD is the requiredsquare.
see attachment....
Determine whether the side
lengths form a triangle
3 cm, 8 cm, 12 cm
The side with length 5 cm is the hypotenuse.
The given lengths of the sides are 3 cm,4 cm and 5 cm
3²=3×3=9;
4² =4×4=16;
5² =5×5=25;
We found that
9+16=25
3²+4²+5²
Therefore, the triangle is a right-angled triangle.
Note : In any right-angled, triangle the hypotenuse happens to be the longest side.
In this example the side with length 5 cm is the hypotenuse.
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somebody please help
Fairfax is 15.94 miles more in distance to Manchester than to Hillsboro
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the distance between Manchester and Newton be = 10.94 miles
Let the distance between Newton and Fairfax be = 13.57 miles
Let the distance between Fairfax and Hillsboro be = 8.57 miles
Now , the distance between Manchester and Fairfax = distance between Manchester and Newton + distance between Newton and Fairfax
Substituting the values in the equation , we get
The distance between Manchester and Fairfax = 10.94 + 13.57
The distance between Manchester and Fairfax = 24.51 miles
So , the difference between the distances A = distance between Manchester and Fairfax - distance between Fairfax and Hillsboro
Substituting the values in the equation , we get
The difference between the distances A = 24.51 - 8.57
The difference between the distances A = 15.94 miles
Hence , the distance is 15.94 miles
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find the principal of interest 3415 naira ,rate 5% and time 4 yrs 3 months
The principal of interest 3415 naira, rate = 5% and time 4 yrs and 3 months is 4017.64 naira.
What is e principal?In the context of borrowing, principal refers to the initial sum of a loan; it can also refer to the balance still owed on a loan. For instance, the principal of a $50,000 mortgage is $50,000. If you pay off $30,000, the remaining $20,000 constitutes the principal balance.
The principal of a loan determines how much interest you will pay. When you pay a loan off each month, the amount first goes to pay off the interest that has accumulated; only then is the remaining amount applied to the principal. The only way to lower the monthly interest payment is to reduce the loan's principal.
given
I=3415
r=5%
time=4yrs 3 months
=4.25 yrs
we know,
p=Ix100/tr
= 3415x100/4.25x0.05
=4017.64 naira
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Is 25 a prime number?.
Answer:
The number 25 is not a prime number
please i need help. what is the answer???p
Answer: The smallest critical value is -5
Step-by-step explanation:
Critical values occur at critical points(they give you important information).
In all rational functions, x-intercepts(zeros) and discontinuities need to be considered. So the critical values here are -5, -3, and -2.
How many solutions does x1 x2 x3 x4 x5 21 have?.
There are 11649 solutions for the given binomial series x¹ + x² + x³ + x⁴ + x⁵ = 21.
x¹ + x² + x³ + x⁴ + x⁵ = 21, where xi, i = 1, 2, 3, 4, 5, is a non-negative integer such that: 0≤ x1 ≤10 and x², x³, x⁴, x⁵ can range in between 0 to 21.
Now we have to choose the coefficient of x²¹ in the following expression
(1 + x + x² + x³.....+ x¹⁰) (1 + x + x² + x³.......+x²¹)(1 + x + x² + x³.....+ x²¹)(1 + x + x² + x³.....+ x²¹)(1 + x + x² + x³.....+ x²¹)
also we can extend term of x², x³, x⁴, x⁵ from x²¹ upto infinty because it didn't change the value of x²¹ coefficient .
(1 + x + x² + x³.....+ x¹⁰) (1 + x + x² + x³.......∞)(1+ x + x² + x³.....+ ∞)(1 + x + x² + x³.....+ ∞)(1 + x + x² + x³.....+ ∞)
(1 - x¹¹)/(1 - x)[1/(1 - x)⁴]
(1 - x¹¹) [1/(1 - x)⁵]
now we have to find only the coefficient of x²¹ for which we consider the coefficient of x²¹ and x¹⁰ in [tex]1-x^{-5}[/tex]
general term of the binomial coefficient is [tex]\binom{n+r-1}{r}[/tex]
[tex]\binom{5+21-1}{21}-\binom{5+10-1}{10}[/tex] = 12650-1001 = 11649
--The given question is incomplete; the complete question is
"How many solutions are there to the equation x¹ + x² + x³ + x⁴ + x⁵ = 21,
where xi, i = 1, 2, 3, 4, 5, is a nonnegative integer such that: 0≤ x¹≤ 10?"--
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How do you know if a line and a plane are perpendicular?.
When a line L is perpendicular to two lines on the plane that intersects line L , then line L is perpendicular to the plane.
We know that two lines are perpendicular to each other if they intersects and these two lines are inclined at angle 90° (right angle)
Perpendicular lines are intersecting lines.
Mathematically, the perpendicular lines are represented by the symbol, ‘⊥‘.
When a line is perpendicular to two lines on the plane then it is perpendicular to the plane.
We can say that when the line L is perpendicular to every line in the plane that intersects line L, then we can say that a line and a plane are perpendicular.
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what is the
number if you divide 10 and = 30
Answer: 300
Step-by-step explanation: if ur dividing and you don’t know the divisible, you multiply the answer by the number you divide with, so 10(30) equals 300.
Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place 12 22 20
A parallelogram and a semicircle both have an area of 264 and 628 square metres, respectively. A = 892 is the total area.
What is the area of semicircle and parallelogram ?We have a half-circle and a parallelogram.The parallelogram's area is A=basis*height. [tex]A = r^2[/tex], where r is the radius, is the formula for a circle's area (half of diameter). As a result, the half circle's area is equal to
[tex]$A=\frac{\pi r^2}{2}$[/tex]
parallelogram:
b=12
h=22
A=12 × 22
A=264
Half circle:
r=20
A=(3.14 × 20²)/2
A=628
Total Surface Area of the Figure:
A=264 + 628
A=892 .
Half of a circle's surface area makes up a semicircle. As a circle's area is [tex]r^{2}[/tex], Therefore, a semicircle's area is equal to 1/2([tex]r^{2}[/tex]), where r is its radius. 3.14, or 22/7, is the value of.
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In a group of 140 people, each person has a dog, a cat, or a bird. The frequency table shows how many people have each kind of pet. Complete a relative frequency table to show the distribution of the data with respect to all 140 people.
The relative frequency table shows the distribution of the data with respect to all 140 people.
What is frequency?Frequency refers to how often something occurs over a given period of time. It can be used to describe the rate of oscillations of a wave, the number of occurrences of a given event, or the rate at which a signal is processed. Frequency is typically measured in hertz (Hz), which is the number of occurrences per second. Frequency can also be expressed in terms of cycles per second (cps), revolutions per minute (rpm), or vibrations per second (vps). Frequency is an important concept in many fields such as physics, engineering, and mathematics.
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Table is attached below:
The results of an experiment were listed in several numeric forms as listed below.
Order the numbers from least to greatest (least on top, greatest on bottom).
The order of the numbers from least to greatest is given by 0.003,1/5³,3/8,4/7,√5
What is a decimal number?A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.
Given here: The numbers are 1/5³ , 4/7,√5,3/8,0.003
To get a clarity of the magnitude of the numbers lets convert every number into decimal numbers.
Now we know To convert a fraction to a decimal, we'll just divide the numerator...by the denominator.
Thus 1/5³=1/125
=0.008
4/7=0.5714
3/8=0.375
√5=2.2361
and 0.003
Now arranging the numbers from in ascending order we get
0.003,0.008,0.375,0.5714,2.2361
Hence, The order of the numbers from least to greatest is given by 0.003,1/5³,3/8,4/7,√5
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cuantas veces cabe 12 en 77?
Answer:
6.4166
Step-by-step explanation:
77/12 = 6.41666666667
Re-write the quadratic function below in Standard Form
y=−2(x−8)(x−2)
y = -2(x - 8)(x - 2)
y = -2(x² -2x -8x +16)
y = -2(x² - 10x + 16)
y = -2x² + 20x - 32
Answer:
y= −2x^2+20x−32
Step-by-step explanation:
y = −2(x−8)(x−2)
= - 2(x^2 - 10x +16)
= - 2x^2 - (-10x)-2. 16
= - 2x^2 +20x - 32
What is the first step in simplifying the logarithmic expression log2 (x-3) + log4x?
[tex]\textit{Logarithm Change of Base Rule} \\\\ \log_a b\implies \cfrac{\log_c b}{\log_c a}\qquad \qquad c= \begin{array}{llll} \textit{common base for }\\ \textit{numerator and}\\ denominator \end{array} \\\\\\\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\log_2(x-3)+\log_4(x) \\\\[-0.35em] ~\dotfill\\\\ \log_4(x)\implies \stackrel{\textit{change of base rule}}{\cfrac{\log_2(x)}{\log_2(4)}}\implies \cfrac{\log_2(x)}{\log_2(2^2)}\implies \cfrac{\log_2(x)}{2}\implies \cfrac{1}{2}\log_2(x) \\\\[-0.35em] ~\dotfill\\\\ \log_2(x-3)+\log_4(x)\implies \log_2(x-3)+\cfrac{1}{2}\log_2(x)\implies \log_2(x-3)+\log_2(x^{\frac{1}{2}}) \\\\\\ \log_2(x-3)+\log(\sqrt{x})\implies {\Large \begin{array}{llll} \log_2( ~~ \sqrt{x}(x-3) ~~ ) \end{array}}[/tex]
Can the sides of a triangle have lengths 5, 15, and 20?
Answer:
in what order are the sides in?
Answer:
No
Step-by-step explanation:
According to the triangle rule, the sum of the lengths of any two sides of a triangle is greater than the length of the remaining side. Let's check this condition:
5 + 15 > 20 ? -> No
So such a triangle cannot exist. And the sides can't be that lengths.
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is 5/8 less then 1/2
Answer:no
Step-by-step explanation:
Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 5/8 and 1/2 side by side so they are easier to see:
Converting Denominator
5
8
&
1
2
Our denominators are 8 and 2. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 8 and 2. In this case, the lowest common denominator is 8.
If we multiply the first denominator (8) by 1 we will get 8. If we multiply the second denominator (2) by 4 we will also get 8. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:
5 x 1
8 x 1
1 x 4
2 x 4
This is what 5/8 and 1/2 look like with the same denominator:
5
8
&
4
8
Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 5 is NOT less than 4 which also means that 5/8 is NOT less than 1/2.
What is the factor of x² 36?.
The factors or multiples of the algebraic expression, x² - 36 are (x-6) and (x+6) .
Factorization of algebraic expressions is defined as the process of finding the factors of an expression which refers to finding two or more expressions whose product is equals to that expression. Some Identities which are used to Factorize Algebraic Expressions,
(a+b)² = a² + b² + 2ab
(a - b)² = a² + b² - 2ab
a² - b² = (a+b)(a -b) etc.
We need to factorise, p(x) = x² − 36.
The algebraic expression, p(x) can be factorised by using property, a² - b² = (a+b)(a-b). So, it can be written as x² - 6², comparing it with a² - b² , here a = x,
b = 6. Hence, (x² − 36) = (x+6)(x−6). Therefore, the required factors are (x+6)(x−6).
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zach read 11/20 of his assignment. what percent of his assignment did he read? PLEASE HELP WILL GIVE BRAINLIST IF SOLUTIONS
Answer:
55%
Step-by-step explanation:
11/20=0.55
0.55 is the same as 55% since 55/100 is 0,55.
What are the types of complex numbers?.
Any complex number can be divided into four categories based on the characteristics of the real component and imaginary part:
imaginary number.complicated number 0completely fictitious numberall-real numbersComplex numbers are those that are expressed as a+ib, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).
The real and imaginary halves of a complex number are represented by the first and second values, respectively, of the complex data type in Python.
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Please help me I need this by tonight
Answer:
x = 2
y = 5
Step-by-step explanation:
Brainly doesn't provide online graphing tools, so I will try to walk you through what to do.
First put both equations in slope-intercept form:
y + x = 7 → y = -x + 7
3y - 6x = 3 → 3y = 6x + 3 → y = 2x + 1
These are easy to graph now.
For equation (1), place a point on the y-intercept (0,7), then draw a line with a slope of -1 (down one, over one, down one, over one, etc.). The x-intercept is (7,0).
For equation (2), the y-intercept is point (0,1). Draw a line with a slope of 2 (up 2, over 1, up 2, over 1, etc.) The x-intercept is (-1/2, 0).
Where the 2 lines intersect is the solution. They should intersect at point (2,5).
What is the symbol of radical expression?.
Algebraic expressions involving radicals are known as radical expressions. The root of an algebraic expression makes up the radical expressions (number, variables, or combination of both).
The main symbol attached to any algebraic expression is x. Each radical expression consists of three separate components: first the "square root" sign itself serves as the radical sign.
The component of the expression inside the radical is known as the radicand
The degree outside the root indicates which root the radical refers to. Expressions without degree symbols have a degree of 2. A cube root is indicated by a degree of 3, a fourth root is shown by a degree of 4, and so on.
Now according to the above expression here, under the root can be any variable like, 2 , 28 , 25, or y7.
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