Answer:
A. y=-1/4x
Step-by-step explanation:
We have the information 3y=12x-9, the lines are perpendicular, and the new line passes through (-4,1). First, you want to put the original equation into slope intercept form by isolating the y, to do this we need to divide everything by 3 to get y=4x-3. The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 4, so flip it to 1/4 and multiply by -1, we get the slope of the new line as -1/4. So far we have the equation y=-1/4x+b. We are given a point on the line, (-4,1), we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as 1=-1/4(-4)+b. First you multiply to get 1=1+b, then you subtract 1 from both sides to isolate the variable and you get b=0. Then you can use b to complete your equation with y=-1/4x, or letter A.
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Answer with explanation:</h2>
1. Let x = Number of nickels
y= Number of quarters
Equation:
(i)
Equation:
(ii) [∵ 1 nickel = $0.05 , 1 quarter = $0.25]
Multiply equation (ii) by 20, we get
(iii)
Eliminate (i) from (iii), we get

put y= 10 in (i) ,

Sentence = " Jane has 10 nickels and 10 quarters".
2. Let x = Number of dimes
y= Number of nickels
Equation:
(i)
Equation:
(ii) [∵ 1 nickel = 5 cents, 1 quarter = 25 cents]
Multiply equation (i) by 5, we get
(iii)
Eliminate (iii) from (ii), we get

put x=3 in (i) ,

Sentence = " Joey has 3 dimes and 9 nickels".
By applying the formula of trigonometric function the right hand side will
be equal to right hand side which is 1-
/
=cos2x.
Given: 1-
/
=cos2x.
Taking right hand side first which is cos2x.
We know that cos2x=
Now we will solve the left hand side of the equation give which is
1-
/
=1-
/1+
[secant square x minus tangent square x is equal to 1]
By putting both values left hand side and right hand side we will find our solution which is :
1-tan^{2}x/1+tan^{2}x=1-
/1+
.
Hence proved
Learn more about trigonometric functions at brainly.com/question/24349828
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Input 12 for n.

= -16 + 2(12)

= -16 + 24

= 8
The 12th term in the sequence is 8.
Answer:
2400000 in a hour
Step-by-step explanation:
40,000 × 60 = 2400000 you need to multiple 40,000 with 60 because there is 60 minutes in a hour