The equation of the perpendicular line is (c) y = 2/9x - 1
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y + 17 = -9/2(x - 3)
Also, from the question;
We have the following points
Point = (0, -1) i.e. (x, y) = (0, -1)
The equation of a line can be represented as
y - y₁ = m(x - x₁)
Where
Slope = m
By comparing the equations, we have the following
m = -9/2
This means that the slope is -9/2
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is 2/9
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = 2/9
(x₁, y₁) = (0, -1)
So, we have
y + 1 = 2/9(x - 0)
Evaluate
y = 2/9x - 1
Hence, the line has an equation of y = 2/9x - 1
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Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.
Solution:Let the age of Tiffany be x years.Then, the age of Emily = 4x years.After 10 years, the age of Tiffany will be (x+10) years.After 10 years, the age of Emily will be (4x+10) years.Therefore, by the problem
\(4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5\)
So, Tiffany's present age = 5 years.Emily's present age = (4×5) years = 20 years.Answer:Emily's age is 20 years and Tiffany's age is 5 years.
Hope it helps!
For the equation f(x)=1.9(0.41)*, state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
C=(Type an integer or a decimal.)
Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
Given that,
The equation f(x)=1.9(0.41)ˣ.
We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
We know that,
What is growth and decay?In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.
In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r
Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.
Consider the function f(x)=1.9(0.41)ˣ.
We write as
f(x)=1.9(1-0.59)ˣ
So, initial value C is 1.9
Decay factor =0.41
Growth factor = 0.59
Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
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11 of 3011 of 30 Questions
Question
A baker makes peanut butter cookies and chocolate chip cookies.
She needs 2 cups of flour and 34
cup of butter to make one batch of peanut butter cookies.
She needs 3 cups of flour and 1 cup of butter to make one batch of chocolate chip cookies.
If the baker has 26 cups of flour and 9 cups of butter, how many batches of each type of cookie can she make?
The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.
Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."
From the given information, we can set up the following system of equations:
For the flour:
2x + 3y = 26
For the butter:
34x + y = 9
To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:
Multiply the first equation by 17 (to make the coefficients of x in both equations the same):
34x + 51y = 442
Now we have the system of equations:
34x + y = 9
34x + 51y = 442
Subtract the first equation from the second equation:
34x + 51y - (34x + y) = 442 - 9
50y = 433
Divide both sides by 50:
y = 433/50
Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.
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Which value is closest to (2.4×103)+(5.7×102)?
2.97×102
2.97×103
8.1×105
8.1×106
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
find x
a.204
b.90
c.78
d.102
Answer:
Hope you can understand my handwriting though
use the equation to draw a line in the graph -x+5y>-5
ok
-x + 5y > -5
-x + 5y = -5
x y
-2 -7/5
-1 -6/5
0 1
1 -4/5
2 -3/5
I'll graph it
help pls A rational expression has been simplified below.
(x-2)(x+6)/7(x+6) = x-2/7
For what values of x are the two expressions equal?
O A. All real numbers except 2
OB. All real numbers
O C. All real numbers except -6
O D. All real numbers except -6 and 2
The values of x if the two expressions equal are all real numbers.
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants.
Given expression ,
(x-2) (x+6) / 7 (x+6) = x-2/ 7
So, in LHS x+6 can be cancelled
and we get,
=x-2/ 7
which is same as the RHS from the given expression .
So, As the both LHS and RHS are equal , if put any value Both remains same
Hence, The values of x if the two expressions equal are all real numbers.
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2.Each purse contains 8 coins. Find a rule to give the total number of coins.
If we have to find the total number of coins then we can use the following rule:
If Each Purse Contains 8coins ,then we can find total number of coins by multiplying 8 to the number of total purseThus,
Rule is :︎⠀⠀ ⠀⠀ ⠀⠀ ⠀︎⠀⠀ ⠀⠀ ⠀8×Total Number of Purse.
─━─━─━─━─━─━─━─━─━─━─━─━─Determine the x and y-intercept for -3x + 2y = 12 PLEASEEEE HELPP THANK U
To find the x-intercept, let y = 0.
You get 4x-0=12
x = 3
x-intercept is (3,0)
----------------------------
To find the y-intercept, let x = 0.
You get 0-2y=12
y = -6
y-intercept is (0,-6)
thrill drop to nearest food. Number of minutes
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Number of car sold are 98.
Number of trucks sold are 66.
Given,
Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .
Let number of cars sold are x.
Let number of cars sold of y .
Now,
For dealership 1 equation will be,
x + y = 164 ......(1)
For dealership 2 equation will be,
As the cars are sold twice and trucks are sold half .
2x + y/2 = 229......(2)
Solving 1 and 2,
y = 66
x = 98
Thus number of car sold are 98.
Thus number of trucks sold are 66.
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Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
which one shows a line with a slop of 2
The graph with the slope of 2 is the second graph.
How to find the slope of a line?The slope of a line is a measure of its steepness. The slope of a line is the change in dependent variable with respect to the change in the independent variable.
Therefore, let's find the slope of the graph to know the one with the slope of 2.
Hence,
slope = y₂ - y₁ / x₂ - x₁
Using the second graph,
(-1, -1)(0, 1)
slope = 1 + 1 / 0 + 1
slope = 2 / 1
slope = 2
Therefore, the graph with slope of 2 is the second graph.
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"If 54 oranges costs find the cost - Of 3 I
oranges
Answer:
Step-by-step explanation:
Cost of 3 oranges = cost of 54 oranges / 18
Emily and Josie were randomly choosing a colored chip from the ones show below. What is the probability that Emily will choose a blue chip, keep it, and then Josie chooses a red chip?
The probability that Emily chooses a blue chip and Josie chooses a red chip is 3/28.
What is mutually exclusive events?Events that are mutually incompatible cannot take place at the same moment. If one thing happens, the other thing can't happen. For instance, if we flip a coin, receiving heads and getting tails are mutually exclusive events. The likelihood of two mutually exclusive occurrences happening simultaneously is zero.
Events that are independent of one another are said to be independent. The likelihood of the other event happening is unaffected if one event happens.
Given, 3 blue chips and 2 red chip from a total of 8 chip we have:
P(Emily chooses blue and Josie chooses red) = P(Emily chooses blue) × P(Josie chooses red after Emily chose blue)
= (3/8) × (2/7)
= 6/56
= 3/28
Hence, the probability that Emily chooses a blue chip and Josie chooses a red chip is 3/28.
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The complete question is:
Emily and Josie were randomly choosing a colored chip from the ones show below. What is the probability that Emily will choose a blue chip, keep it, and then Josie chooses a red chip?
The number of chips there are 8 chips. 3 are blue, 2 are red.
Which expression is equivalent to -8?
O-2-3
-3
9
2-3
Answer:
the answer would be c
Step-by-step explanation:
the answer would be c because its a fraction
HELP!!
Next, you will make a scatterplot. Name a point that will be on your scatter plot and describe what it represents.
A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
One point on the scatter plot for this problem has the coordinates given as follows:
(19, 3).
Hence the meaning is that an input of 19 is mapped to an output of 3.
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any good websites that give you savas realize answers?
ahhh!! I need it for correction and fast!
If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.
Which property is shown?
reflexive property
substitution property
symmetric property
transitive property
Answer:
B
Step-by-step explanation:
The answer is b. substitution property
What is the solution to 3+x=x+3
Answer:
all real numbers
Step-by-step explanation:
if you subtract x from both sides, you get x=x. This is true for basically any number
In Mrs. Munson's 9th hour science class there are 15 girls and 9 boys. Which of the
following is the ratios of girls to boys IN SIMPLEST form?
O 5:1
15:9
O 5:3
30:18
Answer:
15-9
Step-by-step explanation:
Answer:
5:3
Step-by-step explanation:
\(15 \div 3 = 5\)
\(9 \div 3 = 3\)
Question What is the mean of the data set? 10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16
Answer: 12.75
Step-by-step explanation:
1. Add all the numbers together (10+15+14+8+18+11+12+12+10+10+17+16)
2. Once you get the sum (153), divide by 12, since there are 12 numbers
3. Your answer should be 12.75
I need this please help me
Answer:
A. Right 6, Down 5
Step-by-step explanation:
I don't know how to explain this
what is 62,394 rounded to the nerest ten
Answer: 62,390
Step-by-step explanation:
62,390
or if you meant the comma as a period, then it is 62.4
A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
Which equation has the solutions x=1+/- 5?
Ox^2+2x + 4 =0
Ox^2-2x + 4 =0
Ox^2+ 2x-4 = 0
Ox^2-2x – 4 =0
Answer:
\(x^{2} -2x-4=0\)
Solving Steps
Use the quadratic formula
\(x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}\)
Multiply / Remove the parentheses / Evaluate
\(x=\frac{2(+/-)\sqrt{4+16} }{2}\)
Calculate
\(x=\frac{2(+/-)\sqrt{20} }{2}\)
Separate the solutions
\(x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}\)
Simplify
\(x=1+\sqrt{5} \\x=1-\sqrt{5}\)
factor (5a–3b)^2–25a^2 PLS HELP 50 POINTS
Answer:
(-3b) (10a -3b)
Step-by-step explanation:
(5a–3b)^2–25a^2
Replace (5a–3b) with x
x^2 - (5a) ^2
We have the difference of squares
( x-5a) (x+5a)
Now replace x with (5a -3b)
(5a -3b -5a) ( 5a -3b +5a)
Combine like terms
(-3b) (10a -3b)
Answer:
(5a-3b)²-25a²
= 25a²+9b²-2×5a×3b-25a { (a-b)²= a²+b²-2ab}
=9b²-30ab
=3b(3b-10a)
= -3b(10a-3b)
Ans
Hope, it helped!
Is 5 inches bigger than 1/3 if a foot
Answer:
Yes
Step-by-step explanation:
1 foot= 12 inches
12÷3=4
This means that 1/3 of a foot is 4 inches
5 inches is larger than 4 inches
Answer:
Yes
Step-by-step explanation:
1/3 is 0.33333333333333 foot which = 4 inches.
Formula: multiply the value in feet by the conversion factor '12'.
So, 0.33333333333333 foot = 0.33333333333333 × 12 = 4 inches.
The other value is 5 inches.
5 inches is greater than 4 inches.
you know this is a weird place to ask this but I'll know I will get some kind of response so here we gooo. What's the meaning of life to you?