Answer:
The correct options are (1), (3) and (5).
Step-by-step explanation:
The two triangles are shown below.
The measure of ∠F corresponds to ∠F'.
The distance between the points D and origin is of 9 units.
And the distance between the points D' and origin is 3 units.
Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.
Check for similarity:
Thus, the △DEF is similar to △D'E'F'.
Thus, the correct options are (1), (3) and (5).
Answer:
(0,8)
Step-by-step explanation:
First, we must arrange this equation into slope-intercept form, or y=mx+b form.
Equation: y-8=2x
Add 8 to both sides: y=2x+8
Now that the equation is in slope-intercept form, it is easy to find the y-intercept, as it is just the b-value.
In this case, the b-value is 8, so the y-intercept is (0,8).
Let me know if this helps!
Answer:
3, 3, -60
Step-by-step explanation:
The area of a rectangle is equal to the product of its length and width. So, to create an equation representing the area of this rectangle, multiply the length, , and the width, , and set the product equal to the area, 54.
Then rewrite the equation using the distributive property, and move all terms to the left side of the equation.
So, the equation to find the value of n is .
We can use the vertex form
to find the equation of the graph. We know that a is the coefficient, and since the graph opens upwards and is slightly stretched vertically, we know that a is 1/3. On the graph, we see that the vertex of the parabola is at (0,-1). Therefore, h is 0 and k is -1.
Our vertex form equation is
Which is D
