9514 1404 393
Answer:
obtuse triangle
Step-by-step explanation:
The two shortest sides are 7, 15. Their sum is 7+15 = 22, which is longer than the longest side, so these lengths will form a triangle.
__
The "form factor" can be computed to be ...
a^2 +b^2 -c^2 . . . . . where c = longest side
This value is ...
7^2 +15^2 -21^2 = 49 +221 -441 = -167
This negative value indicates the largest angle is more than 90°, so the triangle is obtuse.
_____
<em>Additional comment</em>
This "form factor" has the same sign as the cosine of the largest angle. The cosine is negative for angles greater than 90°. The cosine of the angle is ...
"form factor"/(2ab) = -167/210
largest angle = arccos(-167/210) ≈ 142.678°
Number of x intercepts in this equation is 2 because max power in the function is 2. number of x intercepts is determined by "highest power".
let x1 represent first x intercept and
let x2 represent second x intercept
Formula for finding average of x intercepts is logicaly:
Avg = (x1 + x2)/2
we want to find x1 and x2
4x^2 - 24x + 20 = 0
x^2 - 6x + 5 = 0
x1 = 5
x2 = 1
Avg = 3
Answer:
52
Step-by-step explanation:
The function that represents Wayne´s elevation:
y = 30 x - 105
The function that represents Winston´s elevation:
- 100 = 0 m + b
b = -100
-16 = 3m - 100
3 m = 84
m = 84 : 3 = 28
y = 28 x - 100
Surface level: y = 0
Wayne:
0 = 30 x - 105
x = 3.5 minutes
Winston:
0 = 28 x - 100
x = 3.57 minutes
If they both ascend at the same rate, Wayne will be first to the surface.
It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°
Measure of ∠R :
ღ ꪑ꠸᥅ꫀꪊ
