Find the equation of the line that is perpendicular to 3x-4y=5
1 answer:
Answer:
4x + 3y = 0
Step-by-step explanation:
A line perpendicular to one written in standard form can be found by swapping the x- and y-coefficients and negating one of them. Usually, you want the leading (x) coefficient to be positive, so here we can negate that one. This process give ...
4x + 3y = 0
The constant on the right can be chosen to make the line go through a desired point. Here, no point is specified, so we have set it to zero.
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Answer:
25%
Step-by-step explanation:
Given parameters:
Amount earned by Jessica per month = 800
Total savings target per year = 2400
Unknown:
Percentage of savings = ?
Solution:
The total earning per year will be the amount earned per month multiplied by the total number months;
Amount earned in a year = 12 x 800 = 9600
Let the percentage of savings per year = y%
Now;
2400 = x 9600
y = 25%
<h3>Given</h3>
trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8
<h3>Find</h3>the area of PSTK
<h3>Solution</h3>It helps to draw a diagram.
∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as
... KS² = PS² + KP²
... 13² = PS² + 12²
... PS = √(169 -144) = 5
This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is
... A = (1/2)(b1 +b2)h
... A = (1/2)(12 +8)·5
... A = 50
The area of trapezoid PSTK is 50 square units.