Step-by-step explanation:
Because this is a multiplication equation, and we need to find one of the factors, we divide.
So 35/3=y
35/3=11.6666667
or 11.67/11.7
Hope it helps!
Answer:
- f(x) vertex is a minimum
- g(x) vertex is a maximum
Step-by-step explanation:
The reasoning is the same in each case: the sign of the coefficient of the squared term indicates the direction the parabola opens. If it opens upward, the vertex is a minimum; if it opens downward, the vertex is a maximum.
f(x) -- the sign of the squared term is positive, so the vertex is a <em>minimum</em>.
g(x) -- the sign of the squared term is negative, so the vertex is a <em>maximum</em>.
X + y = 13......x = 13 - y
2x - 3y = 1
2(13 - y) - 3y = 1
26 - 2y - 3y = 1
-2y - 3y = 1 - 26
-5y = -25
y = -25/-5
y = 5
x + y = 13
x + 5 = 13
x = 13 - 5
x = 8
<span>so, x = 8 and y = 5</span>
Answer:
12.4967 m
≈ 12.5 m
Step-by-step explanation:
From the solution diagram attached, to find /AB/, we apply sine rule:
AB/Sin 140° =AD/Sin 15°
AB = 10/Sin 15° x Sin 140°
= 24.8372 m
To calculate the height of the pole we will calculate BC first. Using the right angle triangle ∠ABC, we have:
Sin ∅ = BC/AB
Sin 25° = BC/ 24.8372
BC = 24.8372 Sin 25°
= 10.4967 m
The height of the pole = BC + 2.0
= 10.4967 + 2.0
= 12.4967
≈ 12.5 m
Answer:

Step-by-step explanation:
The graph is not attached, however we know that, the volume of a triangular pyramid is given by the formula

where
B is the area of the triangular face
h is the height of the pyramid
we have

substitute the given values
