The pennant below is in the shape of an isosceles triangle. Determine and state the length of the base.
1 answer:
Answer:
C. 10
Step-by-step explanation:
we know that
The height of an isosceles triangle divide the triangle into two equal right triangles.
so
Applying the Pythagorean Theorem at one triangle
solve for x
solve the quadratic equation by graphing
using a graphing tool
The solution is x=5
see the attached figure
therefore
The length of the base is
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Answer:
See below.
Step-by-step explanation:
Recall the equation for a circle:
, where (h,k) is the center and r is the radius.
We need to turn the given equation into the above format. We do this by completing the square.
First, group them:
For the first section, complete the square for :
Do the same for the second:
All together:
The center is (-9,-7).
The radius is
Answer:
the linearization is y = 1/4x +5/4
the linearization will produce <em>overestimates</em>
the values computed from this linearization are ...
f(3.98) ≈ 2.245
f(4.05) ≈ 2.2625
Step-by-step explanation:
Apparently, you have ...
from which you have correctly determined that ...
so that f(3) = 2 and f'(3) = 1/4. Putting these values into the point-slope form of the equation of a line, we get the linearization ...
g(x) = (1/4)(x -3) +2
g(x) = (1/4)x +5/4
__
The values from this linearization will be overestimates, as the curve f(x) is concave downward everywhere. The tangent (linearization) is necessarily above the curve everywhere.
__
At the given values, we find ...
g(3.98) = 2.245
g(4.05) = 2.2625
