first you need to find the slope of he current equation by changing it to y=mx+b
3x-2y=9 subtract 3x from both sides
-2y=-3x+9 divide both sides by -2
y+3/2x-9/2 Your slope of the existing is 3/2 or 1 1/2
a perpendicular line has the opposite reciprocal slope so 3/2 would be -2/3
-3 is your y intercept. now you can make your equation
y=-2/3x-3
The area of the surface of the pool is 7322.64 m².
<h3>What is Area of rectangle?</h3>
The area of rectangle is product of length and its breadth.
i.e., length * breadth
Given: Length = 100 m, Width = 52 m and Diameter = 52 m
Area of rectangle,
= 100 × 52
= 5200 m²
Now,
Area of semicircle = 1/2 × πr²
=1/2 × 3.14 × 26²
= 1061.32 m²
Hence, area of the surface of the pool is
= 1061.32 + 1061.32 + 5200
= 7322.64 m²
Learn more about this concept here:
brainly.com/question/15461609
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Answer:
14.40646471 =x
Step-by-step explanation:
tan (42) = x/16
Multiply each side by 16
16 tan 42 = x/16 *16
16 tan 42 = x
16 * .900404044 = x
14.40646471 =x
Answer: x=−2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(8−x)−32=98−5(3x+24)
Step 1: Simplify both sides of the equation.
4(8−x)−32=98−5(3x+24)
(4)(8)+(4)(−x)+−32=98+(−5)(3x)+(−5)(24)(Distribute)
32+−4x+−32=98+−15x+−120
(−4x)+(32+−32)=(−15x)+(98+−120)(Combine Like Terms)
−4x=−15x+−22
−4x=−15x−22
Step 2: Add 15x to both sides.
−4x+15x=−15x−22+15x
11x=−22
Step 3: Divide both sides by 11.
11x
/11
=
−22
/11
x=−2
