Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
Answer:
y = 1/2
Step-by-step explanation:
Varies inversely
xy = k
------------------------
Find the constant of variation
y = 39 when x = 1/3
k = 1/3 * 39
k = 13
-----------------------
what is the value of y when x=26
26y = 13
y = 13/26
y = 1/2
Answer: <em>u = 6</em>
Step-by-step explanation: To solve for <em>u</em> in the equation you see here, we must first isolate the term containing <em>u</em> which in this problem is -6u.
Since 7 is being added to -6u, we subtract 7 from both sides of the equation to isolate the -6u. On the left side of the equation, the +7 and -7 cancel out and on the right side of the equation, -29 - 7 is -36 so we have -6u = -36.
Now we can finish things off by just dividing both sides of the equation by -6. On the left the -6's cancel and on the right -36 divided by -6 is 6.
So u = 6 and you can check your answer by 6 back in for <em>u</em> in the original equation shown below in italics.
<em>-6 (6) + 7 = -29</em>
No, because an equilateral triangle is also equiangular so all sides must be 60° (60+60+60=180) and an obtuse angle is more than 90° so the triangle would not be equilateral.
Hope I Helped (:
Answer:
The Answer is 2.8 inches
Have a Great Day <3
Step-by-step explanation:
