Answer:
We have the slope-intercept form of a straight line given by y = mx + b, where m is the slope and b is the y-intercept.
Now, when the slope m is positive, the straight line will slant upward towards the right and when the slope m is negative, the line will slant downwards to the right.
Moreover, the more positive or negative the slope is, the steeper the slant of the corresponding line will be.
The change can be seen in figure 1 below where the slope is changing as 2. 4 and -5.
Further, when the y-intercept b is positive, the line will cross the y-axis above the line y=0 and when the y-intercept b is negative, the line will cross y-axis below y=0.
Moreover, the change in y-intercept will shift the graph of the line in left or right direction.
The shift can be seen below in the second figure, where y-intercept changes from 3, 4 and -5.
Answer:
B edge 2022
Step-by-step explanation:
Write your answer in radians in terms of pi
The solutions of the given equation are -1, 0, -2, 0, -2 for the values of θ in the interval [0, 2π) respectively.
A tangent of an angle is defined as the ratio of the sine of the angle to the cosine of the angle.
tan θ = (sin θ)/(cos θ)
The given equation is
tan θ - 1 =0
solving for the values in between [0, 2π)
In this interval, the possible values for θ(in the case of tan) are 0, π/4, 3π/4, 5π/4, and 7π/4.
So, the solutions are:
for θ = 0,
⇒ tan (0) - 1 = -1
for θ = π/4,
⇒ tan(π/4) - 1 = 0
for θ = 3π/4,
⇒ tan(3π/4) - 1 = -2
for θ = 5π/4,
⇒ tan(5π/4) - 1 = 0
for θ = 7π/4,
⇒ tan(7π/4) - 1 = -2
Thus, the solutionset for the given equation in the interval [0, 2π) is {-1, 0, -2, 0, -2}
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Answer:
{π/4, 5π/4}
Step-by-step explanation:
Tan theta -1=0 could be rewritten as tan Ф = 1. The tangent function is 1 at Ф = π/4. As the period of the tangent function is π,
tan Ф = 1 will be true for Ф = π/4 + π, or (5/4)π.
The solution set is {π/4, 5π/4}.
a. PQ
b. QP
C. PQ
d. PQ
We have that
All the options above are correct but PQ is mostly used because of its places in the alphabetical system
Correct option is
a,c,d
From the question we are given that:
P Q as a length
Mostly used in Trigonometry and Geometry are letters for the representation of points and combined to form lengths and determine distances
Therefore P and Q as points are represented as lengths wen the are given as
Represented as PQ or QP ()()
In conclusion
All the options above are correct but PQ is mostly used because of its places in the alphabetical system
Correct option is
a,c,d
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Answer:
The answer is A), PQ.
By eliminating decimal and implementing zeros in the denominator we transform the decimal value into a fraction value.
Given that,
To model a decimal using a fraction.
Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,
Here,
Let's assume a decimal value, 0.25
Now in order to transform this decimal value in a fraction, we must eliminate the decimal point and add two zeros after one by implementing it into the denominator.
Since,
= 0.25 = 25 / 100 = 1 / 4
Thus, by eliminating decimals and implementing zeros in the denominator we transform the decimal values into fraction values.
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You model a decimal using a fraction :
multiply the denominator and numerator by 10 for every number after the decimal point after we change the decimal in fractions with the denominator 1
Fraction numbers are known as numerators and denominators
On a number line, fractions are expressed in points that lie between two integers
The general form of fractions is
a = numerator
b = denominator
Decimal numbers are numbers in which there are commas or decimal points.
The value of each number in decimal numbers is based on a comparison of the number 10
In a decimal system, the numbers have the following consecutive values (the place value of the digits in a number): hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths, hundred thousandths
Between ones and tenth values separated by commas (decimal points)
Decimal numbers can also be expressed as proper or mixed fractions
The position of each digit in decimal numbers is important.
Because the decimal number is based on the number 10, As we move left, each position is 10 times bigger, and As we move right, each position is 10 times smaller
On the left of the decimal point is a whole number
To convert a Decimal to a Fraction there are several steps:
Example:
if there is a whole number part, set aside first, make changes to the fraction then return it at the end
place value
spend practicing instruments
Round 141,999 to the nearest tenth, hundredth, ten, and hundred.
Keywords: decimal, decimal point, fraction, convert a Decimal to a Fraction