Solution :
the differences in the X coordinates and Y coordinates:
The x-coordinate tells you how many steps you have to take to the right (positive) or left (negative) on the x-axis. And the y-coordinate tells you have many steps to move up (positive) or down (negative) on the y-axis.
Given : difference in the x-coordinates of two points is 3
the difference in the y-coordinates of the two points is 6
The slope of the line :
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
Tan θ = Δy/Δx can also represent the slope of the line
So, tan θ to be the slope of a line.
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The letter ‘ m’ usually represents the slope.
If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:
Slope,
m = Change in y-coordinates/Change in x-coordinates
m = (y2 – y1)/(x2 – x1)
Therefore, based on the above formula, we can easily calculate the slope of a line between two points.
In other terms, the slope of a line between two points is also said to be the rise of the line from one point to another (along the y-axis) over the run (along the x-axis). Therefore,
Slope, m = Rise/Run
Use the slope formula.
the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or
the change in the y values over the change in the x values.
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2. It does not matter which point you label as the first point and which you label as the second. Don't forget to include the correct sign of each value. Simplify to get the value of the slope. Check the your answer by graphing the points and verifying that the vertical distance between the two points and the horizontal distance between the two points is captured by the numerator and denominator of the slope
Ponit (2,3) & (6,9)
Slope of Line = y2-y1/x2-x1
= 9-3/3-2
=6/1
Slope of Line = 6
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Directions: Use what you have learned this week in class to answer the question. You should show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
please help i need this done HELPPPPPPPASAP
Question:
Evelyn has some paracord with a total length of 5-½ meters. She needs to cut the cord into 12 equal portions. What is the length of each piece written as a fraction? Is this value rational or irrational; why?
Work/Reasoning & Answer:
Answer: Nachelle is 1.35 meters tall. At 2 p.m., she measures the length of a tree's shadow to be 24.15 meters. She stands 19.2 meters away from the tree, so … that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Step-by-step explanation:
1-8 closure property fundamentals of algebra
The closure property is defined as the completion of a collection of numbers by using arithmetic operations.
The closure property asserts that when an arithmetic operation such as addition, subtraction, multiplication, or division is done on any two numbers in the set, the response is another number from the same set.The closure property essentially asserts that when we add or multiply any two real numbers, we will obtain just one unique response, which will likewise be a real number. The commutative property asserts that the order of the numbers does not matter when adding or multiplying real numbers.For example, the closure property is true for whole numbers over addition and multiplication.To learn more about closure property, visit :
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during a summer thunderstorm, the temperature drops and then rises again. the rate of change of the temperature during the hour and a half after the storm began is given by t(h) = 9.5h3 − 15.5h2 + 17.4h − 10.12°f per hour
According to the given statement One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.
How is the rate of temperature change determined?Subtract the final temperature from the starting temperature to get the temperature change (T). Multiply the temperature change by the sample's mass. Share the product's energy and heat output.
The equation is C = Q / (T m).
According to the given information:Consider the function t as defined below. t(h)=9.5h – 15.52 +17.4h-10.12
Here,
h is the number of hours after storm began.
The function t represents the rate of change of temperature in °F per hour during the hour and a half after the storm began.
During the storm, the temperatures lowers and then rises.
One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.
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Factoring quadratics 15x^2-14x+3
Step-by-step explanation:
15x²-14x+3
Product =45
Sum=-14
=(-9,-5)
15x²-9x-5x+3
3x(5x-3)-1(5x+3)
=(5x-3)(3x-1)
There are 18 cans of peas in a case. each can of peas is 12 ounces. if a case of peas costs $14.22, what is the unit price per can of peas? a. $0.07 b. $0.08 c. $0.79 d. $1.19 please select the best answer from the choices provided a b c d
The correct answer is option c. $0.79
As per the question:
No. of pea cans in a case = 18 cans
Weight of each can of peas = 12 ounces
Price of a case of peas = $14.22
The information regarding the weight of each can is redundant in this question and therefore, is not used for solving the question
Therefore, the formula to be used for solving:
Price per unit can of peas= (Price of a case of peas/No of pea cans in a case)
Price per unit can of peas= ($14.22/18)
The price per unit can of peas= $0.79
Hence, option c is the correct answer
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Solve the equation using square roots. x² + 20 = 4
no real number solutions
√24
+√24
-4
There are no real solutions for the equation x² + 20 = 4.
Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.
Consider the equation,
x² + 20 = 4
Subtracting 20 from each side of the equation.
x² + 20 - 20 = 4 - 20
x² = - 16
√x² = √ - 16
x = ± √-16
x = ± 4√(-1)
x = ± 4i
Since i is the complex number that is equal to √-1. Therefore, there are no real solutions to the equation.
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Answer:no real number solutions
explain the GCF method with an example??
Multiply numbers with decimals
2.34 x 1.6
Answer:
3.744
Step-by-step explanation:
2.34
* 1.6
-------
1404
+
234
---------
3.744
A certain vine grows at a rate of three inches per day. A researcher starts observing it
when it is 27 inches long.
I
1) What is the meaning of three inches in the problem?
2) What is 27 inches represent in the problem?
3) How long will be the vine after one day?
after two days?
4) Write an algebraic expression to represent the length of the vine after n days.
+
A certain vine grows at a rate of three inches per day. A researcher starts observing it
when it is 27 inches long.
I
1) What is the meaning of three inches in the problem?
2) What is 27 inches represent in the problem?
3) How long will be the vine after one day?
after two days?
4) Write an algebraic expression to represent the length of the vine after n days.
ans
A travel agency surveyed 70 of their clients who had visited Europe about international travel. Of the 70 clients who had visited Europe, 60 had traveled to England, France, or both. Of those 60 clients, 45 had visited England, and 50 had visited France.
c. What is the probability that a randomly chosen participant in the survey will have visited both England and France? Explain your reasoning.
The probability that a randomly chosen participant in the survey will have visited both England and France is 0.5
Given data
number of clients = 70
travelled to England , France or both = 60
travelled to England = 45
travelled to France = 50
How to find the probability that a randomly chosen participant in the survey will have visited both England and Francelet:
E represent the client that visited England only,
F represent the number of client that visited France only,
EF represent the number of clients that visited both England and France only
we have
E + F + EF = 60
45 - EF + 50 - EF + EF = 60
45 + 50 - EF = 60
95 - EF = 60
95 - 60 = EF
EF = 35
E = 10
F = 15
probability
Pr = required outcome / possible outcome
= EF / clients surveyed
= 35 / 70
= 0.5
Explanation
EF represents the number of clients that visited England and France only, and it was solved to be 35. probability is the ratio of required outcome which 35 to the possible outcome which is the total number of clients 70. The ratio gives 0.5
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Find the value of b for this line
Answer:
b = - 12
Step-by-step explanation:
substituting m = [tex]\frac{4}{5}[/tex] , x = 10, y = - 4 into y = mx + b , gives
- 4 = ([tex]\frac{4}{5}[/tex] × 10) + b
- 4 = (4 × 2) + b
- 4 = 8 + b ( subtract 8 from both sides )
- 12 = b
8
179 180 150 12
10.
30 40 50 60 80
150 140 130 120 110 100-
THEM
-90-
Name 2 Right angles
A
D
100 110 120 130 140 150 1
75 60 50 40 30
80
&
Answer:
Step-by-step explanation:
A
Subtract using the number line.
7- (-1)
+++
-10 -8 -6 -4 -2
Enter your answer in the box.
1
0
2
4
6
+
8 10
Answer:
The question isn't clear but i try to do for 7-(-1) solution only. 7-(-1) =8 mean that 7+1=8
If 1 kilogram = 2.205 pounds, converting 165 pounds to kilograms and rounding to the nearest tenth gives
The value of 165 pounds is 74.8 kilograms
How to convert the metric units?The given parameter is:
1 kilogram = 2.205 pounds
Multiply both sides by 165
So, we have
165 * 1 kilogram = 2.205 pounds * 165
Divide both sides by 2.205
So, we have
165/2.205 * 1 kilogram = 2.205 pounds * 165/2.205
Evaluate the products
So, we have
74.8 kilogram = 165 pounds
Rewrite as
165 pounds = 74.8 kilogram
Hence, the value of 165 pounds is 74.8 kilograms
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solve for x please, ty
By using properties of right triangles, we will see that the value of x is 7.72
How to find the length of side x?In the image we have a set of right triangles, and we want to find the value of x.
Let's look at the large triangle in the left, we know that the hypotenuse measures 18 units and one angle measures 64°, with that information we can get the adjacent side (the dashed line, let's call it A) to that angle:
Cos(64°) = A/18
18*cos(64°) = A = 7.05
Now we know one of the cathetus of the smaller right triangle (the one we can see in the right side). Here we know one angle that measures 20° and the opposite to that angle measures 7.05
Then the value of x is given by the equation:
x = 7.05/sin(20°) = 7.72
We conclude that the value of x is 7.72
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THIS IS FOR 50 POINTS AND A BRAINLYS! BUT IF IT WRONG I WILL REPORT YOU!
When you add or subtract whole numbers, always start with the ______.
hundreds
tenths
ones
tens
Answer:
ones
Step-by-step explanation:
always start with the smallest number
Answer:
ones
then tens, tenths, hundreths
Step-by-step explanation:
hope this helps
What is the sum?I need help right now!!!
Answer:
12
Step-by-step explanation:
2 times 2 equals 4, 4 times 3 gets you 12.
the exponent 2 above the original 2 simply means to just times the original number by 2.
Note:
Love your handwriting!
Pls helppp me i will give points
Answer:
The first one I think xx
Jason biked 60 miles. he averaged 15 miles per hour. how long did he ride?
Answer:
4 hr
Step-by-step explanation:
Robert wants to buy a digital piano at a yard sale.
Find the area of the shaded region in the first quadrant bounded by the line y=3x
The area of the shaded region in the first quadrant is: 0.75 units
What is area under a curve?The area under a curve between two points can be found by doing a definite integral between the two points.
Now,
Given:
x = 0, y = 2Curve: y = 3x - x²To find: area bounded by the given lines and curve in the first quadrant.
Finding:
Now, according to the question, the lines x = 0 and y = 2 intersect at the point (0,2).
Point of Intersection of y = 2 and y = 3x - x²:
2 = 3x - x²
=> x² - 3x + 2 = 0
=> (x - 2)(x - 1) = 0
That is, the line and the curve intersect at two points: ( 1 , 2) and (2,2). But the point that is of our importance is only (1,2).
Thus, area shaded = [tex]\int\limits^1_0 {2 - 3x +x^{2}} \, dx[/tex] = 0.75 square units.
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(COMPLETE QUESTION:
What is the area in the first quadrant bounded by y=3x-x³ and the lines x=0, y=2?)
You birthday toy box it is 24 inches tall and 36 inches wide and 18 inches deep what is the volume of the toybox
Answer: 15,552 inches cubed
Hope this helps!
27. Solve the equation:
2(9x-6)=6(3x-2)+2
Answer:
2
Step-by-step explanation:
18x -12 = 18x -12 +2
18x -12 = 18x -10
18x cancel each other out
-12 = -10
-12 + 12 = -10 + 12
add 12 to each side
= 2
Out of the four measures in the survey, which two variables have the highest correlation?
variables having the highest correlation are -
Wait time acceptable RespectWhat does it mean to have a high correlation?A strong correlation, also known as a high correlation, indicates that two or more variables have a significant link with one another, whereas a weak or low correlation indicates that the variables are rarely associated. The process of examining the strength of such association with the use of available statistical data is known as correlation analysis.
Complete question -Out of the four measures in the survey, which two variables have the highest correlation?
Patient would recommend and Enough informationWait time acceptable and RespectPatient would recommend and RespectPatient would recommend and Wait time acceptableTo learn more about correlation from given link
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Find the percent of change in altitude if a weather balloon moves from 100 ft to 103 ft. describe the percent of change as an increase or decrease. round to the nearest tenth if necessary.
The percent of change is an increase in altitude of the weather balloon.
Percentage changeOriginal altitude = 100 ftNew altitude = 103 ftChange in altitude = New altitude - Original altitude
= 103 ft - 100 ft
= 3 ft
Percentage change = Change in altitude / Original altitude × 100
= 3 / 100 × 100
= 3%
Therefore, the percentage change in the altitude of the weather balloon is 3%.
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A shopping mall has $20,000 to spend on new tiles for the floor. If each tile costs $2, how many tiles can the mall buy
oopss wrong one my bad
7.2×10 to the power of -8 ÷ 3×10 to the power of -2
Answer:
2.4×10−6
Step-by-step explanation:
Hollie earned $1230 a week last year. What was her yearly salary?
Answer: 63,960
Step-by-step explanation:
Answer:
$63960
Step-by-step explanation:
tbh if i made that salary tho
graph represents a vertical stretch by a factor of 2 followed by a translation 1 unit up of the graph of f(x)=x
Answer: A vertical stretch of f(x)f(x) is of the form g(x)=kf(x)g(x)=kf(x) where k>1k>1. A vertical stretch of 5 then means that g(x)=5f(x)=5(x+2)=5x+10g(x)=5f(x)=5(x+2)=5x+10.
Step-by-step explanation: so i really hope this helps <3 (:
please help i’ll give brainliest!!
LABD = 99° and ZCBD = 9x - 9
x = [?]
Answer:
x = 12
Step-by-step explanation:
Given congruent triangles ABD and CBD, and expressions for corresponding angles ABD and CBD, you want the value of x in the expression for angle CBD.
CongruenceCorresponding parts of congruent triangles are congruent, so we know ...
∠ABD ≅ ∠CBD
99° = (9x -9)° . . . . use the given expressions
11 = x -1 . . . . . . . . divide by 9°
12 = x . . . . . . . . add 1
The value of x is 12.