Answer:
4cm^2
Step-by-step explanation:
First we need to find the length of the height of the triangle using Pythagoras:
a^2+b^2=c^2 (Substitute in what we have)
a^2+3√2(^2)=2√5(^2) = a^2 + 18 = 20 -> 20-18=2 √2=BD
Now we can find the area:
AD+DC= 3√2 + √2 = 4√2 x √2 = 8/2 = 4
Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.
<h3>What is the quadratic equation?</h3>
The quadratic equation is given as follows:
mx² + 12x - 12.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:

The discriminant is:

The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
For this problem, the coefficients are:
a = m, b = 12, c = -12.
Hence the discriminant is:
b² - 4ac = 144 + 48m.
We want it to be of 0, hence:
144 + 48m = 0
m = -144/48
m = -3.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
#SPJ1
1/2 of an hour is = 30
288 / 4.30=67
The answer is 67 miles per hour.
Mode: 23
Range: 9
Median: 25.5
Mean: 25.5625
We know, S = n/2 [ a + l ]
Here, a = 45
l = 108
Calculation of n:
a(n) = a + (n - 1)d
108 = 45 + (n - 1)1
108 - 45 = n - 1
63 + 1 = n
n = 64
Now, substitute in the expression:
S = 64/2 [ 45 + 108 ]
S = 32 [ 153 ]
S = 4896
In short, Your Answer would be 4896
Hope this helps!