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Alja [10]
3 years ago
9

Equation for the line perpendicular to the line -6x-7y=-6 having the same y-intercept as 8x-5y=10

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0
Solving   <span>8x-5y=10   for y helps us to identify the y-intercept:

-5y = -8x + 10.  Dividing both sides by -5, we get (8/5)x -2.  Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).

The equation  </span><span>-6x-7y=-6   can be solved for its slope in the same manner.
7y = -6x + 6;  then y = (-6/7)x + 6/7.  Its slope is -7/6.  A line perpendicular to this line has slope equal to the negative reciprocal of -7/6,  which is 6/7.

So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>
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Slope of line
m= (y2-y1)/(x2-x1)
=(-4--6)/(6--2)
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Line in two point form
(y-y1)=m(x-x1)
y--2=(1/4)(x-6)
y+2=(1/4)(x-6)
simplify
4(y+2)=x-6 =>
x-4y-14=0
Alternatively, use the slope intercept form:
y--2=(1/4)(x-6) =>
y=(1/4)x - 3/2-2 =>
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The price of a new Ford F-150 has increased by 6.5% this year. If the price was 27,000 last year, which expression cannot be use
Ksivusya [100]

Answer:

Future value A = P(1+r)^(t)

A = 27000(1+0.065)^1

A = 27000(1.065)

A = 28755 units

Corrected question;

The price of a new Ford F-150 has increased by 6.5% this year. If the price was 27,000 last year, which expression can be used to calculate the price of the new Ford this year

Step-by-step explanation:

Applying the future value formula;

A = P(1+r)^(t) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

t = time in years

Given;

P = 27,000

r = 6.5% = 0.065

t = 1 year

Substituting the given values;

So A = 27000(1+0.065)^1

A = 27000(1.065)

A = 28755 units

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3 years ago
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