The slope of one line is a, where a is a positive number. A second line is perpendicular to the hirst line. Which word best describes the slope of the second line? Type positive, negative, or zero.
Answers
The slope of the second line is also positive, as it is parallel to the first line which has a positive slope.
What is slope?Slope is a measure of how steep a line is, and is defined as the ratio of the change in the y-coordinate (vertical change) to the change in the x-coordinate (horizontal change) between any two points on the line. It represents the rate at which the line is rising or falling as it moves from left to right. Slope can be positive, negative, or zero. A positive slope indicates that the line is increasing as it moves from left to right, a negative slope indicates that the line is decreasing as it moves from left to right, and a zero slope indicates that the line is horizontal.
Here,
When two lines are parallel, they have the same slope. In this case, the first line has a positive slope of "a," which means that it is increasing as it moves from left to right. Since the second line is parallel to the first line, it will also have the same slope as the first line. Therefore, the slope of the second line will also be positive, indicating that it is increasing as it moves from left to right.
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Related Questions
Need help with this question asap please please
Answers
Answer:
M< D = 105⁰
Step-by-step explanation:
the sum of the opposite angles of a cyclic quadrilateral is 180⁰
hence, <ADC + <ABC = 180⁰
<ADC + 75⁰ = 180⁰
<ADC = 180⁰ - 75⁰
< ADC= 105⁰
Simplify 7/8x1/3x2/3=
Answers
Therefore, the simplified form of the given expression is 7/36.
What is expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve one or more operations or functions. Expressions are an important concept in mathematics and are used in a wide range of applications, from simple arithmetic calculations to advanced mathematical modeling and analysis.
Here,
To simplify this expression, we can multiply the numerators of the fractions and multiply the denominators of the fractions, and then simplify the resulting fraction:
7/8 x 1/3 x 2/3 = (7 x 1 x 2)/(8 x 3 x 3)
= 14/72
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2:
14/72 = (2 x 7)/(2 x 36)
= 7/36
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what is 5b=25 equivalent to?
Answers
Answer:
5×5=25
Step-by-step explanation:
25 divided by 5 is the answer to b which is 5 then what equals 25? answer is 5 times 5
You have a new pool and want to know its volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can the pool hold?
Answers
Answer:
Vol = 769.7 cubic ft
Step-by-step explanation:
"radius" is the distance from the center of a circle to the circle. So let's assume your pool is a circular pool with radius = 7ft and height = 5ft. It's a cylinder.
Volume of a cylinder:
Vol =
Base area•height
= pi•r^2 • h
= pi(7)^2•5
= pi•49•5
= pi • 245
= 245pi
Now, 245pi cubic ft is a perfectly good answer. But your teacher/text/class, may be asking for a decimal approximation.
If you use calculator pi (that's a lot of decimals) you get
Vol ~= 769.69 (to the hundredths place)
Vol ~= 769.7(to the tenths place)
If you were told to use 3.14 for pi
then you get
Vol ~= 769.3 cubic ft
But if you were told to convert units to gallons or liters there are more calculations (message, i can edit in these)
Determine whether the binomial (x-4) is a factor of the polynomial p(x) = 5x³ - 20x² - 5x+ 20-
Answers
Step-by-step explanation:
IF x-4 is a factor, then putting in x = + 4 will make the polynomial = 0
5 ( 4^3) - 20 (4^2) - 5(4) + 20 = 0 Yes...it is a factor
\(x - 4 = 0 \\ x = 4 \\ \)
substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function
\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)
so (x-4) is a factor for the function
Write the equation in standard form of the line y=1/9x+5
Answers
The equation in standard form is x - 9y = -45.
What is the Equation of a Line in Standard Form?The equation of a line in standard form is Ax + By = C, where x and y are variables and A, B and C are integers.
Given equation is y = 1/9 x + 5.
Here 1/9 is not an integer.
So multiplying the equation throughout by 9, we get,
9y = x + (5 × 9)
9y = x + 45
Subtracting both sides by x,
9y - x = 45
-x + 9y = 45
Multiplying throughout by -1,
x - 9y = -45, which is in standard form.
Hence the equation is x - 9y = -45 in standard form.
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Insert 5 arithmetic means between 18 and -12.
Answers
The 5 arithmetic means between 18 and -12 are; -7, -2, 3, 8, 13
What is the Arithmetic Mean?Arithmetic Means is defined as the branch of mathematics that deals with the properties as well as the manipulation of numbers.
The formula for the nth term of an arithmetic mean is;
an = a + (n - 1)d
where;
a is first term
d is common difference
n is position of term
In this case, we want 5 terms between 18 and -12 and this means we have a total of 7 terms. Thus;
a = -12
a₇ = 18
18 = -12 + (7 - 1)d
18 + 12 = 6d
30 = 6d
d = 5
a₂ = -12 + (2 - 1)5
a₂ = -12 + 5
a₂ = -7
a₃ = -12 + (3 - 1)5
a₃ = -12 + 10
a₃ = -2
a₄ = -12 + (4 - 1)5
a₄ = 3
Thus;
a₅ = 8
a₆ = 13
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Which type of triangle is this?
Answers
5. Solve the following using binary addition with 2's complement: a. 47-83 b. -16-131
Answers
Using Binary addition with 2's complement, the following answers are found for the given expressions:
a) 47 - 83 = 11011101 (2's complement) = -60
b) -16 - 131 = 10010011 (2's complement) = -146
a. To solve 47 - 83 using binary addition with 2's complement, we first convert the numbers to their binary representation:
47 = 00101111
83 = 01010011
Now, let's perform the subtraction using binary addition with 2's complement:
00101111 (47)
01010011 (83, 2's complement)
11011100 (2's complement of 83)
11011101 (2's complement result)
The result in binary is 11011101. To convert it back to decimal, we take the 2's complement and add 1:
= 11011101 (2's complement)
= -1
= 11011100
The decimal equivalent of the binary result is -60. Therefore, 47 - 83 = -60.
b) To solve -16 - 131 using binary addition with 2's complement, we need to convert the numbers to their binary representation:
-16 = 11110000
-131 = 10000011
Since we are subtracting, we need to find the 2's complement of the second number (131).
2's complement of 131:
Step 1: Invert the bits: 10000011 -> 01111100
Step 2: Add 1 to the inverted bits: 01111100 + 1 = 01111101
Now, let's perform the subtraction using binary addition:
11110000 (-16)
01111101 (2's complement of 131)
1 01101101 (Overflow bit)
The result in binary is 101101101, but since we are using 8-bit representation, we consider the result modulo 2^8. Therefore, the final result is 01101101, which is equal to 109 in decimal.
However, since we were subtracting, the result should be negative. To obtain the negative value, we consider the overflow bit (leftmost bit) and perform the 2's complement on the result.
2's complement of 01101101:
Step 1: Invert the bits: 01101101 -> 10010010
Step 2: Add 1 to the inverted bits: 10010010 + 1 = 10010011
Therefore, -16 - 131 = -146.
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Question 3
The population of a sample of bacteria triples every minute. If the initial population of the sample is 2 bacteria, Nicholas believes
the equation p-2(3)' can be used to find the total population after t minutes,
=
Is Nicholas correct? If not, why not?
a.No, Nicholas switched the initial population and the rate. The equation should be P - 3(2)'
b.No, Nicholas should have wrrtten a linear equation. The equation should be P - 2+ 31
c.Yes, Nicholas is correct.
Answers
Answer:
C. Yes nicholas is right.
for the function g(x)=-1/5 x^2 + 4x+1, find the range of g(x)
Answers
Plotting the graph of the quadratic function g(x)=-1/5x^2 + 4x + 1 the range is
y ≥ -19How to determine the range of the quadratic functionThe range of the quadratic function is seen at the vertex were the maximum or minimum y value is seen
The graph of the function g(x)=-1/5x^2 + 4x + 1 is plotted and attached
From the graph the vertex coordinates is v(-10, -16). The y coordinates of the vertex is -19 and this is the minimum values for y
Therefore the range is y ≥ -19
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The recurrence relation for the power series solution about x=0 of the differential equation y′′−y=0 is (for k=0,1,2,…) Select the correct answer. a) (k+1)kck+2=ck b) (k+1)kck=ck−2 c) (k+2)(k+1)ck=ck−2 d) (k−2)(k−1)ck−2=ck e) (k+2)(k+1)ck+2=ck
Answers
The recurrence relation for the power series solution about x=0 of the differential equation y′′−y=0 is given by option e) (k+2)(k+1)ck+2=ck. The correct option is e.
The given differential equation is y′′−y=0.
The general solution of this differential equation is given as:
y(x) = c₁ eˣ + c₂ e⁻ˣ
To find the power series solution, let us assume that the solution of the given differential equation is in the form of a power series:
y(x) = c₀ + c₁ x + c₂ x² + ... + ck x^k + ...
Differentiating with respect to x, we get:
y'(x) = c₁ + 2c₂ x + ... + kck x^(k-1) + ...y''(x) = 2c₂ + 3*2*c₃ x + ... + k(k-1)ck x^(k-2) + ...
Substituting these values in the differential equation y′′−y=0, we get:(2c2) + (3*2c₃)x + ... + (k(k-1)ck)x^(k-2) + ... - (c₀ + c₁ x + c₂ x² + ... + ck x^k + ...) = 0
Rearranging the above expression, we get:
(k(k-1)ck)x^(k-2) + ... + 3*2c₃ x + 2c₂ - c₀ - c₁ x - c₂ x² - ... - ck x^k = 0
Comparing the coefficients of the like powers of x, we get the recurrence relation for the power series solution about x=0 of the differential equation y′′−y=0 as:(k+2)(k+1)ck+2 = ck
Hence, option e) is the correct answer.
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An engineer is making adjustments on a satellite, because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by the equation (y − 3)2 = 2(x − 2), where x and y are measured in inches. He realizes the static is a result of the feed antenna shifting lightly off the focus point. How many inches in front of the vertex should the feed antenna be?
Answers
Answer:
The answer is 1/2 inches
Step-by-step explanation:
Answer:
1st one is: 1/2m ( c )
2nd one is: 1/2 inch to the right of the vertex ( c )
Step-by-step explanation:
Question 4 (1 point)
What is the product? (6.28x10^3) x 10,000
62,800
6,280,000
6,280
62,800,000
Answers
62,800,000 is the product of (6.28 x 10^3) x 10,000.
What is the product?It refers to the result of one or more multiplications.
Given number is (6.28 x 10^3) x 10,000.
6.28 x 10^3 = 6280
Therefore, 6280 x 10,000 = 628,000,00
Hence, the product of (6.28 x 10^3) x 10,000 is 628,000,00.
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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
A) -2 - i√3 , -2 + i√3
Step-by-step explanation:
Solve using quadratic formula
x² + 4x + 7 = 0
The Almighty Formula
= -b ± √b² - 4ac/2a
Where ax + bx² + c = 0
From the above question
a = 1, b = 4, c= 7
Hence,
-4 ± √4² - 4 × 1 × 7/2 × 1
-4 ± √16 - 28/2
=( -4 ± √-12)/2
Since
b² - 4ac < 0
We have two complex roots
Simplifying
( -4 ± √-12)/2
= -4/2 ± √-12/2
= -2 ± 2√3i/2
= -2 ± √3i
Therefore,
-2 - √3i , -2 + √3i
or
-2 - i√3 , -2 + i√3
Option A , is the correct answer
What are these values?
1-3) =
-1) =
f(3) =(
Answers
-1=-1
I don’t really understand the question but I think no.1 is correct
What is the factored form of this expression?
4t2 − 27t + 18
A.
(4t − 18)(t − 1)
B.
(4t − 3)(t − 6)
C.
(2t − 9)(2t − 2)
D.
(2t − 6)(2t − 3)
Answers
Answer: B. (4t - 3)(t - 6)
Step-by-step explanation:
(4t - 3)(t - 6)
= 4t^2 - 24t - 3t + 18
= 4t^2 - 27t + 18
Answer:
B
Step-by-step explanation:
Sum = -27
Product = 18*4 = 72
Factors = (-24) ; (-3) {(-24)*(-3)=72 & (-24) + (-3) = -27}
4t² -27t + 18 = 4t² - 24t - 3t + (-3)*(-6)
= 4t(t -6) - 3(t - 6)
= (t - 6)(4t - 3)
Graph the line 2x – 3y = 12.
Answers
Answer:
-6, -4
Step-by-step explanation:
I got it right
I need help with this please
Answers
The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = (5/2)^x - 5, we need to find the minimum and maximum values of y that can be obtained by plugging in all possible x values.
Since (5/2)^x is always greater than 0 for any x, the minimum value of f(x) is -5.To find the maximum value of f(x), we can take the limit as x approaches infinity:
lim (x → ∞) (5/2)^x - 5 = ∞ - 5 = ∞Therefore, the range of f(x) is (-5, ∞).what decimal number is represented by the binary number 00000101
Answers
What is the circumference of the circle with a radius of 1.5 meters? Approximate using π = 3.14.
9.42 meters
7.07 meters
4.64 meters
4.71 meters
Answers
Answer:
9.42 meters
Step-by-step explanation:
radius= 1.5
double the radius to get the diameter
diameter= 3
to find the circumference the equation is π × d
3.14 × 3= 9.42
circumference= 9.42
Answer: B
The guy above is wrong! The correct answer is 7.07, and I double checked with a circumference calculator.
Step-by-step explanation:
-To find the circumference of a circle, you can use the formula C = πd.
-By using this formula the answer found is 7.07
This is 100% the right answer, trust me.
Brainliest?
what is the slope help pls?
Answers
Answer:
up 1 over 7 (1,7) 1 = x and 7 = y
Step-by-step explanation:
0 plus 1 is 1. 1 plus 1 is 2. 2 plus 1 is 3. 3 plus 1 is 4
-6 plus 7 is 1. 1 plus 7 is 8. 8 plus 7 is 15. 15 plus 7 is 22
Solve for the measure of arc KM.
Answers
Answer:
The measure of an angle formed by two secants intersecting outside a circle is equal to one-half the difference of the measures of the intercepted arcs.
50° = (1/2)(162° - KM)
100° = 162° - KM
KM = 62°
help asap!! which of the relationships below represents a function with a greater rate of change than the function y= 2x+3?
Answers
Answer:
D.
Step-by-step explanation:
Slope of that line is 5x
What is the probability of rolling a five on the first die and a one
Answers
Answer:
The probability is 1216 chance, which is approximately a 0.46% chance
what is 90/3 in mathmatics
Answers
Answer:
30
Step-by-step explanation:
Two basketball teams play until one team wins two games. Team A has probability 0.2 of winning each game while team B has probability 0.8 of winning each game. If team A wins the first game what is the probability that it wins the series
Answers
Therefore, the probability that Team A wins the series given that they have already won the first game is 0.36 or 36%.
To calculate the probability that Team A wins the series given that they have already won the first game, we can consider the different possible scenarios for the remaining games. For Team A to win the series, they need to win at least one of the next two games. Let's analyze the possible outcomes:
Team A wins the second game and wins the series. Team A loses the second game but wins the third game and wins the series. The probability of Team A winning the second game is 0.2, and the probability of Team A winning the third game is also 0.2. Using these probabilities, we can calculate the probability of each scenario:
Scenario 1:
P(A wins second game and wins series) = P(A wins second game)
= 0.2
Scenario 2:
P(A loses second game but wins third game and wins series) = P(A loses second game) * P(A wins third game)
= (1 - 0.2) * 0.2
= 0.8 * 0.2
= 0.16
Now, we can add up the probabilities of both scenarios to find the overall probability that Team A wins the series:
P(A wins series | A wins first game) = P(A wins second game and wins series) + P(A loses second game but wins third game and wins series)
= 0.2 + 0.16
= 0.36
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Which equation is the inverse of 5y+4= (x+3)²+?
0 y = x ² +
O
5
Oy=3±15x+
7
O y=-3±5x
11
10
O-5y-4--(x+3)²-1
72
4
Answers
Answer:eq
Step-by-step explanation:
Find the product for 1.29 x 5.4
show work please <3.
Answers
Answer:
6.966
Step-by-step explanation:
•Mark how many you have in the d.p
•If there is two or more add them up
•Multiply like normal given numbers
•Write where the decimal point is to be
Hope that helps
The answer you are looking for is 6.966. You multiply the numbers as normal, the place the decimal based off of how many numbers are behind the 2 decimal points given. 1.29 has 2 numbers behind the decimal, and 5.4 has 1. 1 + 2 = 3, so from the right of the last number on the right side, you move the decimal 3 places.
Here's an image to show you how I solved the problem.
I hope this helps!!
000
000
000
000
Ơ
0
Lesson Posttest
Question 8
Points 3
Convert 0.9285714 into a fraction
Answers
Answer:
The question needs to be rephrased since the options all appear as "0's.". The options are also not shown on the attached image.
0.9285714 is equivalent to 13/14
Step-by-step explanation:
(13/14) = 0.9285714