The required equation of line is: [tex](y - 4)= \frac{3}{5}(x+6)[/tex]
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Given:
Equation of line: 5x + 3y = 5New line passes through the point (-6,4)New line perpendicular to given line.To find: Equation of new line
Finding:
Given equation of line: 3y = 5 - 5x=> y = [tex]\frac{5}{3} (1-x) = \frac{-5}{3}(x-1)[/tex]
On comparison with a standard equation of line: [tex](y-y_0) = m(x-x_0)[/tex], where, m = slope of the line[tex](x_0,y_0)[/tex] = coordinates of point through which the line passes.We get: m = -5/3 and [tex](x_0,y_0)[/tex] = (1,0) for the given line.
Now, since the given line is perpendicular to the new line,Slope of the new line = m' = [tex]\frac{-1}{m} = \frac{3}{5}[/tex]
Hence, On substituting the values for [tex](x_0,y_0)[/tex] and m', we get the equation of the new line as:
[tex](y - 4)= \frac{3}{5}(x+6)[/tex]
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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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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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7.2×10 to the power of -8 ÷ 3×10 to the power of -2
Answer:
2.4×10−6
Step-by-step explanation:
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
-9x(-9)x(-9) what does it =
Answer:
-729
Step-by-step explanation:
-9 × (-9) × (-9) =
= 81 × (-9)
= -729
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)
Find the (a) mean, (b) median, (c) mode.
Listed below are the weights in pounds of 11
players randomly selected from the roster of a
championship sports team. Are the results likely to
be representative of all players in that sport's
league?
235, 216, 290, 273, 287, 217, 206, 284, 287, 285,
285
Answer:
Mean = 260.45
Median = 284
Mode = 287, 285 (there are 2 modes)
Since it is a championship sports team , it is likely that this data is representative of all players in that league
Step-by-step explanation:
Mean = Sum of the weights/11 = 2865/11 = 260.45
Median is the middle of the data set when the data values are arranged in ascending order
In ascending order: 206, 216, 217, 235, 273, 284, 285, 285, 287, 287, 290
Mode is the value that occurs the maximum number of times in a data set
Here there are 2 modes 285 and 287 both of which occur twice
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
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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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 (:
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
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:
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!
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?)
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
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
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!
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.
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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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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Pls helppp me i will give points
Answer:
The first one I think xx
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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Jason biked 60 miles. he averaged 15 miles per hour. how long did he ride?
Answer:
4 hr
Step-by-step explanation:
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
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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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
Find the distance between the two points rounding to the nearest tenth (if necessary)(9,5)and(4,-7)
Answer:
Step-by-step explanation:
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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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
Robert wants to buy a digital piano at a yard sale.