The area of the triangle ABC is 207.5 square units.
Explanation:
The measurements of the sides of the triangle are 
, 
and 
We need to determine the area of the triangle ABC.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
where 
, 
and
Substituting these values in the above formula, we get,
Simplifying the values, we get,
Rounding off to the nearest tenth, we get,
Thus, the area of the triangle ABC is 207.5 square units.
Answer:
B. 1 and D. 3.
Step-by-step explanation:
The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).
The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.
The solutions are at x = 1 and x = 3.
Check:
3 × 1 - 1 = 2¹ 3 × 3 -1 = 2³
3 - 1 = 2 9 - 1 = 8
2 = 2 8 = 8
The equation in point slope is:
y-y1=m(x-x1)
y-6=5(x-2)
3 to the negative second power is written like this:
.
When simplifying an expression with a negative exponent, you take a positive version of the exponent, in this case that would be 2, and apply that to the base.
After doing that, we have 9.
The next step is to put one over that number.
In this case, now after doing that the answer is
.
Hope this helps!
Answer:
3rd option: f(x)⇒ +∞ as x⇒-∞ and f(x)⇒ -∞ as x⇒ +∞
Step-by-step explanation:
This is a negative cubic graph, therefore:
Looking at the graph, as x goes towards negative infinity, the y values go toward positive infinity.
On the other hand, as x goes towards positive infinity, the y values go towards negative infinity.
