Answer:
Yes , it is possible (see the explanation)
Step-by-step explanation:
we know that
In a right triangle, we have two complementary angles (their sum equal to 90 degrees)
so
If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa
<em>Example</em>
Suppose we have the right triangle ABC
The measure of angle C is 90 degrees
A and B are complementary angles
A+B=90°
therefore
sin(A)=cos(B)
sin(B)=cos(A)
Answer:
A circle is the set of points at a certain distance from the center. Take the desired base. Put the points of the compass on each end. Leaving one point in place rotate the other to create an arc. Do the same with the other end. Where the arcs meet is the apex of the triangle. Connect two sides to the base. The sides are the desired length because they form a radius of a circle.
Step-by-step explanation:
Answer:
a) f(x) = -2x² + 4x
Explanation:
To find the standard form we need to solve the equation as:
So, the standard form is f(x) = -2x² + 4x
To make the graph we will use the initial form because when the equation is written like f(x) = a(x-h)²+k, the coordinate (h,k) is the vertex of the parabola
So, in this case, the vertex of the parabola is the point (1, 2)
On the other hand, we can find a point in the graph. For example, if x is equal to 0, then f(x) is equal to:
f(x) = -2(x-1)² + 2
f(0) = -2(0-1)² + 2
f(0) = -2(-1)² + 2
f(0) = - 2 + 2
f(0) = 0
So, the parabola passes through the point (0,0) and has a vertex in the point (1, 2). Then, the graph is:
Answer:
3
Step-by-step explanation:
Answer:
The answer is c.
Step-by-step explanation:
This is because the slope is a negative, and since letter a, has a positive slope, it's out of the picture. Just by the looks of b, you can tell that the why intercept isn't 5. It looks like its y-intercept is 0. Letter d, also doesn't have a positive y-intercept so it's also out of the picture. Which leaves letter c. It has a positive slope and it looks like it has 5 as a y-intercept.