Answer:
x = 240
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = ( part of hypotenuse below it) × (whole hypotenuse)
x² = 144 × 400 = 57600 ( take the square root of both sides )
x = 
= 240
5/12 hour = 1 piano solo's
15/12 hour = 3 piano solo's
Simplifying 15/12 hours we get:
<u>1.25 hours also known as 1 hour 15 minutes</u>
Answer: 45
Step-by-step explanation: just multiply the two number together
First, let's find the slope of the line from the points given.
m = (4 - - 2) / (3 - 1)
m = 6 / 2
m = 3
Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.
Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.
Equation 1: Correct
y = -1/3x - 5
Equation 2: Incorrect
y = 3x - 3
Equation 3: Incorrect
y - 2 = 3(x + 1)
y - 2 = 3x + 1
y = 3x + 2
Equation 4: Correct
x + 3y = 9
3y = -x + 9
y = -1/3x + 3
Equation 5: Incorrect
3x + y = -5
y = -3x - 5
Hope this helps!! :)
Answer:
<span>x=<span><span>5±<span>√41</span></span>4</span></span>
Explanation:
<span>2<span>x2</span>−5x+1=3</span>
<span><span>aaaaaaa</span>−3a−3<span>aaa</span></span>Subtract 3 from both sides
<span>2<span>x2</span>−5x−2=0</span>
This equation is not factorable, so use the quadratic formula.
<span>x=<span><span>−b±<span>√<span><span>b2</span>−4ac</span></span></span><span>2a</span></span><span>aaa</span></span> for<span><span>aaa</span>a<span>x2</span>+bx+c=0</span>
<span>a=2,b=−5,c=−2</span>
<span>x=<span><span>−<span>(−5)</span>±<span>√<span><span><span>(−5)</span>2</span>−4<span>(2)</span><span>(−2)</span></span></span></span><span>2⋅2</span></span></span>
<span>x=<span><span><span>5±<span>√41</span></span>4</span></span></span>
hope this helped :)
alisa202
