Write an equation for the perpendicular line to the line whose equation is 4y-5x=20 that contains the point (-2,-3)
1 answer:
Answer:
4x + 5y = - 23
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 4y - 5x = 20 into this form
add 5x to both sides
4y = 5x + 20 ( divide all terms by 4 )
y = x + 5 ← in slope-intercept form
with slope m =
given a line with slope m then the slope of a line perpendicular to it is
= -
, hence
= - 1 /
= -
y = - x + c ← is the partial equation
to find c substitute (- 2, - 3) into the partial equation
- 3 = + c ⇒ c = -
y = - x -
← in slope-intercept form
multiply all terms by 5
5y = - 4x - 23 ( add 4x to both sides )
4x + 5y = - 23 ← in standard form
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Hey!
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Points:
(-2, 3) and (3, 0)
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Find the slope:
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Slope Intercept Form:
y = mx + b
m = slope
b = y-intercept
Slope = -3/5
Y-intercept = 9/5
Answer: y = -3/5 + 9/5
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Point Slope Form:
y - y1 = m(x - x1)
You can use either of the points.
Answer:
y - 3 = -3/5(x - 2)
or
y - 0 = -3/5(x - 3)
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Hope This Helped! Good Luck!
Answer:
The answer is 30
Step-by-step explanation:
First you have to find 120% of a (12).
Therefore; 14.4 is 80% of b, and we are trying to find 100% of b
we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.
This is the same as saying;
100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).
so the new equation is: 14.4= 4/5x
We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so.<em> </em><em>1</em><em>8</em><em>+</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>30</em>
Answer:
50 units
Step-by-step explanation:
you use Pythagorean-theorem which means A^2+B^2 =C^2
It does not matter the order of A and B because it is adding. But C is the hypotenuse.
If we plug in the # this is what it looks like...
14^2 +48^2=C^2
or
48^2+14^2=C^2
14*14= 196
48*48=2,304
then you add
196+2,304=C^2
2,500= C^2
and you can use a calculator for this part you do 2,500
with the 2,500 you use the sign as in the picture and it gives you...
50
which means 50*50 = 2,500
