Consider the following three points.(-5,2), (0, 6), (6,4)Step 2 of 3: Find the slope of the line between the second and third points.
Answers
Given the three points to be
\((-5,2),\text{ (0, 6), (6,4)}\)Let A, B, C respectively represent the three points such that
\(\begin{gathered} A(-5,2), \\ B(0,\text{ 6),} \\ C(6,\text{ 4)} \end{gathered}\)The slope m of a line between any two points is given as
\(\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ ----- equation 1} \\ \text{where } \\ m\text{ }\Rightarrow slope\text{ of the line} \\ (x_{1,}y_1)\Rightarrow coordinates\text{ of one point} \\ (x_2,y_2)\Rightarrow coordinates\text{ of the other point} \end{gathered}\)The slope of the line between the second and third points is evaluated as
\(\begin{gathered} \text{second point}\Rightarrow B(0,6)\text{ = }(x_1,y_1) \\ \text{third point}\Rightarrow C(6,4)\text{ = }(x_2,y_2) \\ \text{Substitute the above values into equation 1} \\ thus, \\ m\text{ = }\frac{4-6}{6-0}\text{ =}\frac{\text{-2}}{6} \\ \Rightarrow m=-\frac{1}{3} \\ \\ \end{gathered}\)Hence, the slope between the second and third points is evaluated to be
\(-\frac{1}{3}\)
Related Questions
The dot plot below shows the drawing scores of some students:
A number line is shown from 1 to 5 in increments of 1. The horizontal axis label is Score. There is 1 dot above 1, 2 dots above 2, 3 dots above 3, 4 dots above 4, and 5 dots above 5. The title of the line plot is Dance Scores.
Which statement best describes the shape of the data?
It is not symmetric and has a peak at 1.
It is not symmetric and has a peak at 5.
It is symmetric and has a peak at 1.
It is symmetric and has a peak at 5.
Answers
At 6:00 A.M. the temperature was 5°F below zero. At noon the temperature was 2°F above zero. At 6:00 P.M. the temperature was 7°F above zero. Which equation shows the change in temperature from 6:00 A.M. to 6:00 P.M.?
A
|5 – 7| = |–2| = 2°F
B
|2 – 7| = |–5| = 5°F
C
|–5 – 2| = |–7| = 7°F
D
|–5 – 7| = |–12| = 12°F
Answers
Answer:
D
|–5 – 7| = |–12| = 12°F
Step-by-step explanation: -5 + 12= 7 which was the final temperture
Answer:
yea its D gangy
Step-by-step explanation:
A rock is thrown upward with a velocity of 18
meters per second from the top of a 37
meter high cliff, and it misses the cliff on the way back down. When will the rock be 3
meters from ground level? Round your answer to two decimal places.
Gravity Formula
Answers
Answer: The rock would be at a point 12 m from water at a time 4.8 s.
Step-by-step explanation:
A sequence is defined by the function A(n) =8+ (n -1)(-4).
Which term, n, would result in A(n) = -172?
A) 44
B) 46
C)692
D)700
Answers
Answer:
B. 46.
Step-by-step explanation:
First we set up the equation A(n)=-172 and substitute the given equation for A(n), giving us -172=8+(n-1)(-4). Simplifying, we get -180=(-4n+12), or -4n=-192, or n=48. However, n represents the number of terms in the sequence, and since the sequence starts with n=1, we need to subtract 1 from our answer to get the term number corresponding to A(n)=-172. Therefore, the answer is B) 46.
A sample of 40 customers was taken at a computer store. Each customer was asked the price of the computer she bought. Here is a summary.Find the mean price for this sample. Round your answer to the nearest dollar.
Answers
Given:
Number of computers and price paid are tabulated.
\(\begin{gathered} \text{Mean}=\frac{14(2300)+11(1050)+15(1000)}{40} \\ =\frac{32200+11550+15000}{40} \\ =\frac{58750}{40} \\ =1469 \end{gathered}\)Mean= $1469
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answers
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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2 log5 x=log5 4+log5 9
Answers
The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.
To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.
Using the properties of logarithms, we can rewrite the equation as follows:
2 log₅ x = log₅ (4 * 9)
Next, we simplify the right side:
2 log₅ x = log₅ (36)
Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:
x² = 36
Taking the square root of both sides, we get:
x = √36
Since the square root of 36 can be either positive or negative, we have two possible solutions:
x = 6
It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.
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put these numbers in order of size, smallest to largest 4.5,-1,-3,-3.5,3
Answers
Answer:
-3.5, -3, -1, 3, 4.5
Step-by-step explanation:
Answer:
-3.5, -3, -1, 3, 4.5 because the higher the negative is, the lower the number.
A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
Answers
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
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Factor this expression. 4 x - 16
Answers
A ABC has a right angle at C, BC = 9.2 centimeters, and mA = 63°.
What is CA?
Answers
In the right-angled triangle ABC, CA is 4.2cm.
What is a right-angled triangle? How to identify it?
Any angle that is a right angle or has one of its interior angles equal to 90 degrees is considered to be in a right-angled triangle. This triangle is also known as the right triangle or the 90-degree triangle for this reason. Trigonometry heavily utilizes the right triangle. In this article, let's learn more about this triangle.
By applying Pythagoras' theorem, one can determine whether a triangle has a right angle. If the squares of the triangle's two shorter sides equal the square of the hypotenuse, a right angle is present.
Solution explained:
A/Q, we have
BC = 9.2cm and m∠A = 63°
Using the tangent ratio formula (ratio of a side that is not the hypotenuse to a side that is near to an angle), we get
\(tanA = \frac{BC}{CA}\)
tan 63° = \(\frac{9.2}{CA}\)
CA = \(\frac{9.2}{1.96}\) (tan 63° = 1.96)
CA = 4.687 ≅ 4.7cm
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3|g+1|+5=7
Solve equation.
Answers
Answer:
Step-by-step explanation:
What are the next numbers in the series 1, 2, 3, 0, 1, 2, -1
Answers
The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........
What is number Series?This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.
From the question:
1, 2, 3, 0, 1, 2, -1
The pattern is:First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.
Calculating the pattern we have:1 +1 = 2
2 + 1 = 3
3 -3 =0
0+1 = 1
1 + 1 = 2
2 -3 =-1
-1 + 1 =0
0 + 1 =1
1 - 3 = -2
-2 + 1 = -1
-1 + 1 = 0
0 -3 = -3
-3 + 1 = -2
-2 + 1= -1
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What is the value of x in the equation 2.5 x + 10 = x- 0.5?
Answers
Answer:
-7
Step-by-step explanation:
2.5x+10=x−0.5
Step 1: Subtract x from both sides.
2.5x+10−x=x−0.5−x
1.5x+10=−0.5
Step 2: Subtract 10 from both sides.
1.5x+10−10=−0.5−10
1.5x=−10.5
Step 3: Divide both sides by 1.5.
1.5x
1.5
=
−10.5
1.5
Answer:
\(=-7\)
Step-by-step explanation:
\(2.5x+10=x-0.5\\\mathrm{Multiply\:both\:sides\:by\:}10\\2.5x\cdot \:10+10\cdot \:10=x\cdot \:10-0.5\cdot \:10\\Refine\\25x+100=10x-5\\\mathrm{Subtract\:}100\mathrm{\:from\:both\:sides}\\25x+100-100=10x-5-100\\Simplify\\25x=10x-105\\\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}\\25x-10x=10x-105-10x\\Simplify\\15x=-105\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{-105}{15}\\Simplify\\\frac{15x}{15}=\frac{-105}{15}\\\mathrm{Simplify\:}\frac{15x}{15}:\quad x\\\frac{15x}{15}\)
\(\mathrm{Divide\:the\:numbers:}\:\frac{15}{15}=1\\=x\\\mathrm{Simplify\:}\frac{-105}{15}:\quad -7\\\frac{-105}{15}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{105}{15}\\\mathrm{Divide\:the\:numbers:}\:\frac{105}{15}=7\\=-7\)
Help Please Quick! Pleasee
Answers
Answer:
you can search them up! Just search up fractions calculator
Step-by-step explanation:
Multiply the following binomials:
(x + 10)(x - 5)
Answers
Answer:
X^2+5x-50
Step-by-step explanation:
X^2-5x+10x-50
Answer:
X² - 5x + 10x - 50
Step-by-step explanation:
Use the FOIL method!
The mean of the data set(9,5,y,2,x)is twice the data set (8,x, 4,1,3).What is (y-x)
Answers
Answer:
y - x = 16
Step-by-step explanation:
Explanation:-
Step(i):-
Given data set A is 9,5,y,2,x
Mean of the Data set A
= \(\frac{9 + 5 + y + 2 +x}{5}\)
= \(\frac{16 +x+y}{5}\)
Given data set B is 8, x, 4, 1, 3
Mean of the Data set B
= \(\frac{8+ x+4+1+3}{5}\)
Step(ii):-
Mean of the Data set A = 2 X Mean of the Data set B
\(\frac{16 +x+y}{5} = 2 X \frac{16+x}{5}\)
On simplification , we get
16 +x + y = 2( 16 +x)
16 + x + y = 32 + 2 x
16 + x + y - 32 - 2 x = 0
y - x -16 =0
y - x = 16
Which expression represents "10 subtracted from the quotient of 3 and a number"?
Answers
Answer:
Step-by-step explanation:
\(\frac{3}{n}\) - 10.
The quotient of 3 and a number translates to \(\frac{3}{n}\), then, all you have to do is subtract 10 from that value, giving the expression above.
Alba Isabel bought a Bluray disc player on sale for $219.99. What is the sales tax if Alba lives in Kingston, New York, where the state tax is 4% and the county tax is 4%?
Answers
The sales tax on the Bluray disc player is $17.60.
What is percentage ?
Percentage can be defined as product of ratio of given value, total value and hundred.
To calculate the sales tax on the Bluray disc player, we need to add the state tax and county tax to the sale price of the player.
First, we can calculate the amount of the state tax. The state tax rate is 4%, which can be expressed as a decimal by dividing by 100:
State tax rate = 4% = 0.04
To find the amount of state tax, we can multiply the sale price by the state tax rate:
State tax = 0.04 x $219.99 = $8.80
Next, we can calculate the amount of the county tax. The county tax rate is also 4%, so we can use the same method as above to find the county tax:
County tax rate = 4% = 0.04
County tax = 0.04 x $219.99 = $8.80
Now, we can find the total sales tax by adding the state tax and county tax:
Total sales tax = State tax + County tax
= $8.80 + $8.80
= $17.60
Therefore, the sales tax on the Bluray disc player is $17.60.
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7) 28 is 35% of what number?
Answers
Answer:
80
Step-by-step explanation:
28×100÷35=80
Gina's kitten weighs 5 ounces. If the kitten gains 3 ounces every week, how many ounces will the kitten weigh in 6 weeks?
Answers
Answer:
23 oz
Step-by-step explanation:
We must multiply 6 by 3 because the kitten gains 3 ounces every week for 6 weeks.
6x3=18
Now we add the amount the kitten already was from the beginning.
18+5=23
Answer:
23 ounces
Step-by-step explanation:
Equation: 5+ 3x=y
5+ 3(6)=y
5+ 18=y
23=y
HELP PLEASE IM GIVE BRAINLIST
Answers
The triangle which could be drawn as per the given description is only option b. isosceles triangle with measure 20° and 80°.
An acute triangle with sides measuring 7, 4, and 2
In an acute triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side .
According to the Pythagorean Theorem.
Here, 7² is greater than (4² + 2²).
So this is not possible.
An isosceles triangle with angles measuring 20° and 80°
In an isosceles triangle, two angles are equal, so if two angle measures 20° and 80°,
Then the third angle measures is
180° - 20° - 80°= 80°
Two angles are congruent implies two sides are congruent.
It is possible to form isosceles triangle.
An obtuse triangle with sides measuring 5, 10, and 15
In an obtuse triangle, the longest side is opposite the largest angle.
Sum of squares of two shorter sides is less than square of longest side according to Pythagorean Theorem.
However, 15²is greater than (5²+ 10²),
so this is not possible.
A scalene triangle with angles measuring 110° and 35°
The sum of the angles of any triangle is 180°,
so the third angle must measure
180° - 110° - 35° = 35°.
Two angles are congruent so it is isosceles triangle.
It is not possible to form scalene triangle.
Therefore, the triangle possible to draw as per the given condition is only option b. isosceles triangle with measure 20° and 80°.
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Write two decimals that are equivalent to the given decimal 3,200
Answers
The two equivalent expression of the decimal 3.200 is 3200/1000 and 3.2
What is defined as the decimals?A decimal is a number with a whole as well as a fractional part. Decimal numbers are between integers as well as represent numeric values for whole plus some fraction of a whole. When we divide a whole in to the smaller parts, we get decimals. A decimal number has two parts: a whole number component and a fractional component. The decimal place value system is identical to the whole number value system for the entire part of a decimal number. However, as we move to the right after the decimal point, we get the fractional part of a decimal number.For the given question, the stated decimal is;
3.200
Removing point will be;
3200/1000 is the equivalent expression.
Divide numerator an denominator by 100 .
32/10 = 3.2 is also the equivalent expression of 3.200.
Thus, the two equivalent expression of the decimal 3.200 is 3200/1000 and 3.2.
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The correct question is-
Write two decimals that are equivalent to the given decimal 3.200
What is 26.509 written in Expanded Form?
Answers
DONT IGNORE! PLEASE HELP ME! 50 POINTS!
Answers
Answer: The answer is C (or the third option)
Step-by-step explanation: The formula for finding the measure of interior hexagon angles is ( n − 2) × 180 °. This means that C is the correct answer
2.6x0.47pls help
pls pls
Answers
Answer:
1.222
Step-by-step explanation:
C'est un calcul de développement combien fait : 3x-6+7×(2x+4)
Answers
The perimeter of a right angled
triangle is 12 cm and area is
6cm² Find the sides of the triangle
Answers
or
4cm
P Perimeter
cm
A Area
cm²
Planes T and X are parallel. Plane T contains line a. Plane X contains line b.
Planes T and X are parallel. Plane T contains line a and plane X contains line b.
Which best explains the relationship between lines a and b?
Answers
Graph the equations to solve the system.y = -2x + 1y = -x + 4Click on the correct answerone solution: (0.4)no solution: 1solutions: allnumbers on the lineone solution: (-3,7)
Answers
Therefore,
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