The equation of the line is (y - 1/12) = -4/3(x - 7/5).
What is the slope of a line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinates to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively.
Consequently, the formula for the change in the y-coordinate with respect to the change in the x-coordinate is
m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line can be depicted by
tan θ = Δy/Δx
So, the slope of a line is tan.
The given equation of a line is:
3x-4y=7
-4y = -3x + 7
y = 3/4 x - 7/4
The slope of the line is 3/4.
The slope of the line perpendicular to the given line is - 1/m = - 4/3
The point-slope of a line is y - y₁ = m(x - x₁).
The given point is (7/5,1/12)
The equation of the line is
(y - 1/12) = -4/3(x - 7/5)
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please solve step by step
Answer:
x = 10,8
Step-by-step explanation:
Raise both sides to the power of 2.
When the square root of a number is squared, the result is the original number.
Expand the square
Then you get x = 10,8.
I NEED HELP SOLVING THIS MATH PROBLEM.
which expression is equivalent to s+8s+10s?
s+18 1+18s
19s or 17s
Answer:
19s
Step-by-step explanation:
s = 1s
1s+8s+10s=(1+8+10)s=19s
Three friends go grocery shopping together, and each buys the same kind of strawberries. Akio buys 2 pounds (lb) and pays $1.50. Gordon buys 3 pounds and pays $2.25. Maria buys 4 pounds and pays $3.00. Identify the graph and unit price that represent the strawberry costs.
Answer:
it will be B
Step-by-step explanation:
because 1 lb is equal to .75 and the graph shows the exact process of if you were to keep adding .75
Answer:
The answer would be A because each pound costs 75 cents.
Step-by-step explanation:
Consider the diagram below.
450
х
45°
7
Which of the following is the value of x?
Answer:
C
Step-by-step explanation:
using the sin ratio in the lower right triangle and the exact value
sin45° = \(\frac{1}{\sqrt{2} }\) , then
sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{7}{y}\) = \(\frac{1}{\sqrt{2} }\) [ y represents the hypotenuse ]
cross- multiplying gives
y = 7\(\sqrt{2}\)
------------------------------------------
using the sine ratio in the upper right triangle
sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{y}{x}\) = \(\frac{7\sqrt{2} }{x}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )
x = 7\(\sqrt{2}\) × \(\sqrt{2}\) = 7 × 2 = 14
A certain state uses the following progressive tax rate for calculating individual income tax:
Income
Progressive
Range ($)
Tax Rate
0 - 10,000
3%
10,001 - 50,000
5%
50,001 - 100,000
5.5%
Calculate the state income tax owed on a $40,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
The state income tax owed on a $40,000 per year salary is $1,500.
We have,
To calculate the state income tax owed on a $40,000 per year salary, we need to use the progressive tax rate table given in the problem.
Since $40,000 falls within the income range of $10,001 to $50,000, the tax rate that applies is 5%.
The amount of income that falls within this range.
= $40,000 - $10,000
= $30,000.
So we can calculate the tax owed on this income as:
tax = 5% x $30,000
= 5/100 x 30,000
= $1,500
Therefore,
The state income tax owed on a $40,000 per year salary is $1,500.
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Answer: 1,800
Step-by-step explanation:
find the measure of minor arc RV
The measure of the minor arc m∡rv = 111°
What is the explanation for the above response?Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c
Where a = ∡RV
b = ∡SU = 37°:
and c = ∠T (the angle between intersecting secants.
Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:
(a - 37) / 2 = 37
Multiplying both sides by 2 gives:
a - 37 = 74
Adding 37 to both sides gives:
a = 111
Therefore, a is equal to m∡rv = 111°.
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what are the answers to these questions_
The general formula for f'(x) would be f' (x) = - 8 sin (x) + C.
The most general formula based on the first would be f(x) = 8 cos ( x ) + Cx + D.
How to find the general formula ?To find the most general formula for f ' ( x ), we need to integrate f'' ( x ) with respect to x:
f'' ( x ) = - 8 cos (x)
f' (x) = ∫ ( -8cos(x)) dx
f ' (x) = - 8 sin(x) + C, where C is an arbitrary constant.
We need to integrate f'( x ) with respect to x to find the most general formula for f ( x ):
f'(x) = - 8 sin(x) + C
f(x) = ∫ ( - 8sin ( x ) + C) dx
f(x) = 8 cos ( x ) + Cx + D, where D is another arbitrary constant.
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PLZ HELP ASAP! WILL GIVE 30 POINTS AND BRAINLIEST! which sequence of transformations will generate the same image as translating a figure 8 units to the left?
a) a reflection over the line x= -1 followed by a reflection over the line x= -9.
b) a reflection over the line x= -3 followed by a reflection over the line x= -5.
c) a reflection over the line x= -7 followed by a reflection over the line x= -3.
d) a reflection over the line x= -9 followed by a reflection over the line x= -13.
The prior probabilities for events A1, A2, and A3 are P(A1) = 0.50, P(A2) = 0.20, and P(A3) = 0.30. The conditional probabilities of event B given A1, A2, and A3 are P(B | A1) = 0.50, P(B | A2) = 0.40, and P(B | A3) = 0.20. (Assume that A1, A2, and A3 are mutually exclusive events whose union is the entire sample space.)
Required:
Compute P(B â© A1), P(B â© A2), and P(B â© A3).
Answer:
P( B∩ A₁ ) = 0.25
P( B∩ A₂ ) = 0.08
P( B∩ A₃ ) = 0.06
Step-by-step explanation:
As we know that
P( B∩ A₁ ) = P( B| A₁) × P(A₁)
P( B∩ A₂ ) = P( B| A₂) × P(A₂)
P( B∩ A₃ ) = P( B| A₃) × P(A₃)
As we have
P(A₁) = 0.50, P(A₂) = 0.20, and P(A₃) = 0.30.
P(B | A₁) = 0.50, P(B | A₂) = 0.40, and P(B | A₃) = 0.20
⇒P( B∩ A₁ ) = P( B| A₁) × P(A₁)
= 0.50(0.50)
= 0.25
⇒P( B∩ A₁ ) = 0.25
Now,
⇒P( B∩ A₂ ) = P( B| A₂) × P(A₂)
= 0.40(0.20)
= 0.08
⇒P( B∩ A₂ ) = 0.08
Now,
⇒P( B∩ A₃ ) = P( B| A₃) × P(A₃)
= 0.20(0.30)
= 0.06
⇒P( B∩ A₃ ) = 0.06
∴ we get
P( B∩ A₁ ) = 0.25
P( B∩ A₂ ) = 0.08
P( B∩ A₃ ) = 0.06
Can you please help me solve?
The zeros of the polynomial function are x = -1 and x = 5
Finding the zeros of the polynomial functionFrom the question, we have the following parameters that can be used in our computation:
y = x⁴ - 4x³ - 4x² - 4x - 5
To calculate the zeros of the polynomial function, we create a graph of the polynomial
The point where the graph intersect with the x-axis are the zeros of the polynomial function
using the above as a guide, we have the following:
Zeros: x = -1 and x = 5
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Carla is offered a new job with big time book sellers. Her starting wage is $10.00 per hour, and she will receive a $0.50 raise after the first year. For each year that she stays with the company after that, her raise will be $0.50 more than it was the year before. How much will Carla make per hour in her 7th year working at big time book sellers? A, How would you solve the problem? Explain the steps you would take. What is your answer? B, What is one important detail from this problem that you think people might commonly miss?
Answer: she would make 13.50 per hour for the 7th year you would solve it by .50x7 and add it to 10.00
Step-by-step explanation:
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
A patient has been instructed to drink a gallon of water each day. How many cups does the patient
need to drink?
Thank
Answer:
16 cups a day
Step-by-step explanation:
Simplify
|x+3| if x > 5
Answer:
rrir
Step-by-step explanation:
e8
PLEASE ANDWER FAST
Sora is also making a salad. Her salad dressing recipe uses 6 teaspoons of vinegar for every 15
teaspoons of olive oil.
2.1 How much vinegar does Sora need for 5 teaspoons of olive oil?
2.2 How much olive oil does Sora need for 8 teaspoons of vinegar?
2.3 If Sora makes 42 teaspoons of salad dressing, how much of each ingredient is in it?
2.4 If Sora makes 14 teaspoons of salad dressing, how much of each ingredient is in it?
The following answers are given as:
2.1)
2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.
2.2)
8 teaspoons of vinegar are needed for 20 teaspoons of olive oil.
2.3)
There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.
2.4)
There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
6 teaspoons of vinegar = 15 teaspoons of olive oil.
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Now,
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Multiply 2 on both sides.
2 teaspoons of vinegar = 5 teaspoons of olive oil.
Now,
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Multiply 8 on both sides.
8 teaspoons of vinegar = 20 teaspoons of olive oil.
Now,
Total number of teaspoons = 42
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Multiply 12 on both sides.
12 teaspoons of vinegar = 30 teaspoons of olive oil.
12 + 30 = 42 teaspoons
Now,
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Multiply 4 on both sides.
4 teaspoons of vinegar = 10 teaspoons of olive oil.
4 + 10 = 14 teaspoons
Thus,
2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.
8 teaspoons of vinegar are needed for 20 teaspoons of olive oil.
There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.
There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.
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16 #5) Describe the error in finding the value of x.
Please remember to explain how you got your answer!!!
If you drive 165 miles in 3 hours, how many miles can you expect to drive in 5 hours traveling at the same average speed?
Find the simple interest on $2,219 principal, deposited for 6 years at a rate of 1.91%
Answer:
$13,568.30
Step-by-step explanation:
I = Prt
I = 2,219(1.0191)(6) = 13,568.30
solve 2x=32 in 2 different ways
Answer:
1. 32 divided by 2 is 16
2. 2 x 16 = 36
Step-by-step explanation:
what is AE
AB=10
AE=2a + 10
ED=x + 3
CD=4
Enter you answer In the box
The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.
To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.
Given:
AB = 10
AE = 2a + 10
ED = x + 3
CD = 4
Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.
We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.
AE + ED = 6.
Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.
To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:
AE = 6 - x - 3.
Simplifying further, we get;
AE = 3 - x.
Therefore, the value of AE is 3 - x.
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SOMEONE HELP ME PLSSSSSSSSSSSSSS
A software development company is voting to elect a president, a secretary, a treasurer, and three directors. If a total of 11 qualified candidates applied for these positions, in how many ways can the positions be filled?
The ways to elect the candidates from the total is 462
How to determine the ways of selection?From the question, we have
Total number of candidate, n = 11Numbers to selection, r = 6 i.e. the president, a secretary, a treasurer, and three directorsThe number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 11 and r = 6
Substitute the known values in the above equation
Total = ¹¹C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 11!/5!6!
Evaluate
Total = 462
Hence, the number of ways is 462
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i am so confused help me whats 2x3x4x6x7+7=
Answer:
1015 will be your answer!
Step-by-step explanation:
2 x 3 x 4 x 6 x 7 + 7 =
6 x 24 x 7 + 7 =
144 x 7 + 7 =
1008 + 7 =
1015
Answer:
Hi! The answer to your question is \(1015\)
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Find the midpoint of the segment between (6,7) and (6,-5)
(0, -1)
(6,1)
(1,6)
(0, 1).
Helpppo pleasee
Answer:
(6,1)
Step-by-step explanation:
midpoint = ((x2+x1),(y2+y1)/2)
= (6+6)/2, (-5+7)/2
= 12/2, 2/2
= 6,1
Answer:
(6, 1)Step-by-step explanation:
GivenSegment (6, 7) and (6, -5)To findMidpoint Solutionx- coordinates same so the line is vertical and we'll only calculate the y-coordinate
x= 6y = (7 + (-5))/2 = 2/2 = 1So the point is
(6, 1)irrational number formula
Answer:
hope it helps.
stay safe healthy and happy.
please help me asap
Answer:
Step-by-step explanation:
it is B
Select the interval(s) where the function is increasing:
f(x) = x ^ 4 - 5x ^ 2 - 3
(- 9.3, - 3)
(- ∞,- 1.5)
(0, 1.5)
(-1.5, 0)
(1.5, ∞)
(-∞, ∞)
(-9.3, ∞)
please help me with math i’ll give you brainlist
Answer: False
Step-by-step explanation:
25% of the data is between Q1 and the median.
Which expression is equivalent to the following complex fraction? -2/x+5/y/3/y-2/x
Answer:
\(\dfrac{5x -2y}{3x - 2y}\)
Step-by-step explanation:
I think you mean this:
\(\dfrac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}=\)
\( = \dfrac{\frac{-2y}{xy} + \frac{5x}{xy}}{\frac{3x}{xy} - \frac{2y}{xy}} \)
\(= \dfrac{\frac{5x -2y}{xy}}{\frac{3x - 2y}{xy}}\)
\( = \dfrac{5x -2y}{xy} \times \dfrac{xy}{3x - 2y} \)
\( = \dfrac{5x -2y}{3x - 2y} \)
Answer:
it's A
Step-by-step explanation:
Pllsss help me bro I’m dying rn
Answer:
11. 8 mph
12. Yes the rates are equivalent
Step-by-step explanation:
11.
We need to calculate the distance the person would walk in 1 hour.
To do this, multiply both by 24:
1/3 x 24 = 8 miles
1/24 x 24 = 1 hour
Therefore, the person's speed = 8 mph
12.
0.2 km for every 0.5 min
0.8 km for every 2 min
If we multiply both numbers in the first rate by 4 we will get:
(0.2 x 4) km for every (0.5 x 4) min = 8 km for every 2 min
This is the same as the second rate.
Therefore the rates are equivalent (as they are the same)