The equation of the line, with slope equal to 0 and passing through the point located at (4 , -2), is y = -2.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Using the point slope form, plug in the values to set up the equation.
(y - y1) = m(x - x1)
where m = 0 and (x1 , y1) = (4 , -2)
(y - -2) = 0(x - 4)
(y + 2) = 0
y = -2
In slope-intercept form, the equation of the line is:
(y + 2) = 0
y = -2
In standard form, the equation of the line is:
y = -2
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Reflect ABC over the x axis translate by <-3,-1>, and rotate 180 degrees around the origin
Following a 180-degree rotation, the new points are (3,1)
The size of the image will either rise or decrease depending on the answer to the question. And there are two ways to rotate: clockwise and counterclockwise. The coordinate values will vary depending on the quadrant.
Consequently, the new points upon rotation are (3,1).
What do translation, rotation, and reflection mean?The word "reflection" flips or creates a mirror image of the object. An picture is rotated by rotating it either clockwise or anticlockwise. Finally, translation moves certain parts of the picture.
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The formula for the volume of a cone is V=1/3x3.14xr^2h, where V is the
volume, r is the radius of the base, and h is the height.
a. Solve the formula for h.
b. What is the height of a cone with a volume of 1017.36 square inches and
a radius of 6 inches? Use 3.14 to approximate
Answer: a. h=3V/(πr^2)
b. h=27 inches
Step-by-step explanation:
a. V=1/3 π r^2 h
V*3=3*1/3 π r^2 h
3V=3/3 π r^2 h
3V=π r^2 h
3V/π=π/π r^2 h
3V/π=r^2 h
h=3V/(πr^2)
b. h=3(1017.36)/(3.14(6^2))
h=3052.08/(3.14(36))
h=3052.08/(3.14(36))
h=3052.08/113.04
h=27 inches
PLEASE HELP ME RUNNING OUT OF TIME Determine if the point (3, 1) is a solution to the system of inequalities shown below and use the characteristics of inequality graphs to justify your answer
Answer:
nope
Step-by-step explanation:
aight so basically . you see how the line , that the point is , on is dotted ? that means that nothing on the line is included aka ">" or "<" . and the line that solid , that means if a point is on that line , you can include it . aka "[tex]\leq[/tex]" or "[tex]\geq[/tex]" cause that means or equal to or whatever . so overall if we were only looking at the lil triangle that both of the colors intersect on , ( 3 , 1 ) wouldnt work . sorry if my explaination sucks :)
2x² - y
if x = 3 and y = 8
Answer:
10
Step-by-step explanation:
2(9)-8
10
Hey there!
2x^2 - y
= 2(3)^2 - 8
= 2(3^2) - 8
= 2(3 * 3) - 8
= 2(9) - 8
= 18 - 8
= 10
Therefore, your answer should be:
10
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
As a race is finished the amount of elapsed time for the racer is recorded. what measurement scale is this?
The answer is Numeric.
What is a measuring scale?Items are weighed on a scale to determine their weight. In order to ensure that the components are utilized exactly as specified in the recipe, they are frequently used in cooking.The four common scales of measurement—nominal, ordinal, interval, and ratio—were created by psychologist Stanley Stevens.The type of measurement scale to be used for statistical measurement depends on the type of data being collected. There are various types of measurement scales. The nominal, ordinal, interval, and ratio scales are the four measurement scales that make up this set.What measurement scale is this?
There are mainly two types of variables
Numerical(quantitative): observations that can be measured in numerical form
Agin two types: ratio scale and interval scale
Categorical(qualitative ): named categories
Again two types: Ordinal or nominal
Her in the given an example,
Measured time of race have numerical observations
The measurement scale is Numeric.
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Compare the two numbers. Use > or < .
-√3,-√5
As the value of Square root -√5 is equal to -2.23, and the value of Square root -√3 is -1.73, which is larger.
A square root is what?The square root of a number x is the number y whose square (the result of multiplying the number by itself, or y y), equals x in mathematics.The term "radicand" refers to the word (or number) whose square root is being considered.The term or number under the radical sign in this instance is known as the radicand, and it is 9.One can discuss square roots of negative values while discussing complex numbers.Any time the idea of an object's "square" is mentioned, square roots can be more extensively considered.These include square matrices and function spaces, among other mathematical structures.The value of Square root -√5 = -2.23, and the value of Square root
-√3 = -1.73, which is larger.
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b. Do transformations of the form y=|x|+k affect the axis of symmetry? Explain.
A line that bisects or cuts an objects into two equals parts is called the axis of symmetry for that object. The axis of symmetry creates a mirror-like reflection of each side of the object.
The function f(x) = |x| is called an absolute value function. The highest or lowest point on the graph of the absolute value function is called the vertex. The absolute value graph has an axis of symmetry through the vertices.
The axis of symmetry (x=0 or y-axis) is the line that divides the graph into two congruent halves. Translate is a transformation that moves the graph horizontally or vertically, but does not change its overall shape or orientation.
So, it does not affect the axis of symmetrical. Is symmetrical about the Y axis (axis of symmetry).
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What is the key phrase?
what is the probability of drawing a club from a deck of cards
The probability of drawing a club from a deck of cards is 1/4
How to determine the probability of drawing a club from a deck of cards?In a standard deck of cards, we have the following parameters
Club = 13
Cards = 52
The probability of drawing a club from a deck of cards is calculated as
P = Club/Cards
This gives
P = 13/52
Simplify the fraction
P = 1/4
Hence, the probability of drawing a club from a deck of cards is 1/4
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2-inch candle burns down in 8 hours. At what rate does the candle burn, in inches per hour?
Answer:
1/4 inches/hour
Step-by-step explanation:
We need inches per hour, which means inches divided by hours, so we divide the number of inches by the number of hours.
2 inches / 8 hours = 2/8 inches/hour = 1/4 inches/hour
Solve the System of Equations:
y = [tex]\frac{1}{6}[/tex]x + 6
y = [tex]\frac{1}{3}[/tex]x + 2
Answer:
(x;y)=(24;10)
y = 1/6 * x + 6; y = 1/3 * x + 2
Substitute the given value of y into the equation y = 1/3 * x + 2
1/6 * x + 6 = 1/3 * x + 2
Solve the equation for x
x = 24
Substitute the given value of x into the equation y = 1/3 * x + 2
y = 1/3 * 24 + 2
Solve the equation for y
y = 10
i need help again yall..............................
Answer:
the answer is c !!!!!!!!!!!!!!!!!!
7 x 10-8 in standard form
Answer:
7×10= 70
70-8= 62
Answer62
Important need help fast!
The function of correct growth or decay factors are,
[tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.
[tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.
[tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor related to growth factor 15%.
[tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor related to growth factor 5%.
[tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to 20%.
We know that,
Exponential Decaying factor is [tex]y = ab^{x}[/tex]
Where, 0<b<1
The decay rate is expressed as a percentage. We convert it to a decimal by simply reducing the percent and dividing it by 100.
Growth factor is the factor by which a quantity multiplies itself over time. Growth rate is the addend by which a quantity increases (or decreases) over time.
Here,
Option(1) : [tex]y = (0.3)(0.5)^{x}[/tex]
Then, 0.5 < 1 (0.5 means 50%)
So, [tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor .
Hence, [tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.
Option(2) : [tex]y = 2000(\frac{4}{5}) ^{x}[/tex]
Then, 4/5 < 1
⇒ 0.8 < 1
So, [tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor.
Hence, [tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.
Option(3) : [tex]y = 800 (1.15)^{x}[/tex]
Then, 1.15 > 1
So, [tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor.
Hence, [tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor of 115%, so it is not decay factor, then the related to growth factor 15%.
Option(4) : [tex]y = 1200 (1.05)^{x}[/tex]
Then, 1.05 > 1
So, [tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor.
Hence, [tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor of 105%, so it is not decay factor, then the related to growth factor 5%.
Option(5) : [tex]y = 3(0.85)^{x}[/tex]
Then, 0.85 < 1
So, [tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor.
Hence, [tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to 20%.
Therefore,
[tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.
[tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.
[tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor related to growth factor 15%.
[tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor related to growth factor 5%.
[tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to 20%.
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What is the value of the expression below when x=5x=5?
8x+9
The value of the expression below when x=5x=5?
8x+9 is equal to [tex]7^{2}[/tex] (or) 49.
Substitute [tex]\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)[/tex]
The expression,
y = 8x + 9
If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:
So, we can substitute x = 5,
Then, y = 8 * 5 + 9
Calculate the product or quotient,
y = 40 + 9
Calculate the sum or difference,
y = 49
We can write alternative form,
y = [tex]7^{2}[/tex]
Therefore,
Hence the value of the expressions if x = 5 is [tex]7^{2}[/tex] (or) 49.
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Karen stops at starbucks every weekday (M-F). She is very excited for the fall season and mobile orders a venti pumpkin spice latte every time she visits and leaves a one dollar tip. At the end of the week, she spent a total of $39.15. How much does one latte cost?
Based on the total amount that Karen spent in one week at the Starbucks, the cost of one latte was $6.83
What was the cost of one latte?Karen left a tip of a dollar every day she bought a Latte so this comes to:
= 1 x 5 days
= $5
The cost of a single latte is therefore:
= (Total amount spent - Total tips) / Number of days
= (39.15 - 5) / 5
= 34.15 / 5
= $6.83
In conclusion, a single latte at the Starbucks to Karen for the weekdays was $6.83.
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For each equation, find the center and radius of the circle.
(x+2)²+(y-10)²=4
The equation of the circle (x + 2)^2 + (y - 10)^2 = 4 has a radius of 2 and a center located at (-2 , 10).
The standard form of the equation of circle is given by
(x - h)^2 + (y - k)^2 = r^2
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x^2 + y^2 + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.
If the equation of the circle, (x + 2)^2 + (y - 10)^2 = 4, is in standard form, then
h = -2
k = 10
r = 2
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Find the slope of the line through (3,5) , parallel to y=5 x-1
Find the slope of the line through (3,5) , parallel to y=5 x-1
Slope=5
How to find slope?
Given:
y=5x-1 ( where, slope=5)
Any line parallel to y=5x-1 also has slope 5
What is the line?
y=5x+b
We can find b ,using the given points (3,5)
5=15+b
b=-10
The line is, y=5x-10
What is a slope?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.The letter m is frequently used to represent slope; the reason for this usage is unclear, but it can be found in O'Brien's and Todhunter's versions of the equation for a straight line, respectively, where they are written as y = mx + b and y = mx + c.To learn more about slope, refer:
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Message instructor about this question
Which of the following are arithmetic sequences? Select all that apply.
115, 105, 95, 85, ...
-12, -8, -4, 0, ..., 152
5, 10, 20, 40, ...
18, 25, 32, 39, ..., 214
1, -7, 49, -343, ..., 5764801
18, -22, 26, -30, ...
The arithmetic sequences are given as follows:
115, 105, 95, 85, ...-12, -8, -4, 0, ..., 15218, 25, 32, 39, ..., 214What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Hence, the arithmetic sequences are given as follows:
115, 105, 95, 85, ... d = -10.-12, -8, -4, 0, ..., 152. d = 4.18, 25, 32, 39, ..., 214. d = 7.For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:
10 - 5 = 5, 20 - 10 = 10.
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I have a crush on a Virgo dude and I’m a Libra . Should I ask if I can kiss him or just do it , or just wait . I’m in love with this guy and he says im pretty too
ASAP pls..............
Answer: t = 6/11
Step-by-step explanation:
3t - 2 + t = 4 - 7t
4t - 2 = 4 - 7t
4t + 7t = 4 + 2
11t = 4 + 2
11t = 6
Divide both by 11
Answer : t = 6/11
Answer:
t = 6/11
Step-by-step explanation:
Hello!
Solve the equation for t by isolating the variable.
Solve for t3t - 2 + t = 4 - 7t Add like Terms4t - 2 = 4 - 7t Collect Like terms 11t - 2 = 4 Isolate the Variable11t = 6 Isolate the Variablet = 6/11The value for t is 6/11.
What else is needed to prove these triangles congruent using the SAA postulate? I NEED THE ANSWER
To prove triangles ACB and ECD to be congruent using SAA we need
A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.
As given in the question,
In the triangle ACB and ECD,
Given : AC ≅ EC
∠ACB ≅∠ECD
To prove triangles to be congruent using SAA.
Two angles need to be congruent.
∠B ≅ ∠D
∠A ≅ ∠E
Therefore, to prove triangles ACB and ECD to be congruent using SAA we need
A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.
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please answer i will give 100 extra points if correct
Answer:
-6, -5, -5.9, -1, 0, 1, 5, 5.9, 6, 6.1, 7, 11
Step-by-step explanation:
Its basically saying that all values of x must be greater than or equal to -6. So, we can substitute -6, -5, -5.9, -1, 0, 1, 5, 5.9, 6, 6.1, 7, 11
-6.1, -7, and -11, is wrong because it is less than -6,
hope this helped
y = -3x - 10
I have to graph points. The first point is at (0, -10) because of the y-intercept. How should I graph the next point using the slope? The graph they gave me cuts off at 0, -10 so I can't go any lower for y. Help.
The next point to be graphed after graphing the y-intercept since the slope is negative and the graph cuts of at; (0, -10) is; (-5, 5).
What is the next point to be graphed apart from the y-intercept since the graph cuts off at (0, -10)?According to the task content; it follows that the next point to be graphed apart from the given y-intercept is to be determined.
It follows from comparison with the slope-intercept form of a linear equation;
y = mx+c that the slope of the given equation is; -3.
Hence, considering the point, x = -5, the value of y is;
y = -3(-5) -10
y = 15 - 10
y = 5.
Therefore, the required coordinate to be graphed is; (-5, 5).
Ultimately, the next point to be graphed after graphing the y-intercept since the slope is negative and the graph cuts of at; (0, -10) is;
(-5, 5).
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Evaluate each expression for the given value of the variable. 3(2 a+5)+2(3-a) ; a=4
The value of the expression 3(2 a+5)+2(3-a) at a=4 is 37 .
An Algebraic expression is defined as an expression that consists of variables and constants linked with mathematical operators (+,-,x,÷).
According to the question
=3(2 a+5)+2(3-a)
Substituting the value a=4 in the above expression.
We get,
=3(2(4)+5)+2(3-4)
=3(8+5)+2(3-4)
Solving terms in bracket first ,
=3(13)+2(-1)
=39-2
=37
Therefore , The value of the expression 3(2 a+5)+2(3-a) at a=4 is 37 .
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A rectangular prism has a base with side lengths x and x+3 and height 2 x . Find the surface area and volume of the prism.
The surface area is 10x²+18x sq. units and volume of the rectangular prism is 2x³ + 6x² cubic units.
As given,
In rectangular prism
Base side lengths x and x+3
Height = 2 x
Volume of a rectangular prism V = l w h
V = volume , l =length, w= width h =height.
For rectangular prism,
V = (x). (x +3). (2x)
= (x² +3x)2x
=2x³ +6x²cubic units
Surface Area of Rectangular Prism:
=2(x*2x)+2(x(x+3))+2(2x(x+3))
=4x²+2x²+6x+4x²+12x
=10x²+18x sq. units
Hence, the surface area is 10x²+18x sq. units and volume of the rectangular prism is 2x³ + 6x² units
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can someone help me with this? Thank you!
Answer:
4 5/6
Step-by-step explanation:
1/2 -> 3/6
2/3 -> 4/6
? 3/6 - ? 4/6 = ? 5/6
10 - 5 ( Take away one because you needed to do 3/6-4/6 which results in a negative number )
4 5/6
What is the equation of the line that passes through the point (-1,6)and has a slope of −1
Answer:
y = -x + 5
Step-by-step explanation:
slop m = -1, x = -1, y = 6
y = mx + b
6 = (-1)(-1) + b
6 = 1 + b
b = 5
so y = -x + 5
Write an example from daily life that uses each type of real number.
whole numbers
Whole numbers are defined as a set of natural numbers plus the integer zero. There exists no fractions, decimals, or negative integers in whole numbers, which are actual numbers.
What are whole numbers?Whole numbers are defined as a set of natural numbers plus the integer zero. In mathematics, the set of whole numbers is denoted by the letter W and is given as 0, 1, 2, 3, etc.
Examples:
1. Learning geometry and trigonometry can help people who desire to get better at sports.
2. The ability to compute an area is useful since it will be useful when we renovate our homes and rental properties.
3. When making many purchases, we must decide which retailer gives the best price or financing.
4.People use ratios or proportions to calculate the right amount of each item when they cook.
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Express each fraction as a decimal to the nearest hundredth. 17/54
The fraction 17/54 as a decimal to the nearest hundredth is 0.32
Given fraction is 17/54
In decimal form it is 0.3148.
To round it to the nearest hundredth, we have to make round it to two decimal places.
So 17/54 = 0.3148 = 0.32
0.32 is the decimal form of 17/54 to the nearest hundredth.
We can verify this by multiplying and dividing 100 to 0.32,
That is 0.32 = 32/100.
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