Actually the given equation y = x^2 represents a parabola
in the set of real numbers. A parabola is defined to be a symmetrical
open plane curve created by the intersection of a cone with a plane parallel to
its side. Since the square is on the x, therefore the parabola is
opening upwards.
Answer:
<span>Parabola</span>
Answer:
Exactly one triangle of the dimensions 6cm, 6cm and 4cm.
Step-by-step explanation:
Given the dimensions of the triangle as 6cm, 6 cm, and 4 cm
-We notice this is an isosceles triangle since it has two equal sides.
-A triangle is a two dimensional figure with fixed dimensions.
-Since, the sides are fixed, we cannot fragment its dimensions to form longer or shorter sides.
-Hence, only one triangle can be made from the dimensions 6cm, 6cm and 4cm.
Answer:
1 2/9 minutes
Step-by-step explanation:
55 mph
55 / 60 = 11/12
11/12 of a mile = 1 minute
45 mph
45 / 60 = 3/4
3/4 of a mile = 1 minute
11/12 divided by 3/4
11/12 * 4/3
We can cross-cancel
11/3 * 1/3 = 11/9 = 1 2/9
It takes 1 2/9 minutes for the hummingbird to cross the lake
Hope this helps!
(Please let me know if I did something wrong!)
Answer:
?
Step-by-step explanation:
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
.
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° =
108°.
That seems reasonable, because A appears to be an obtuse angle.
6)
m∠BAE + m∠DAE + m∠ABC = 180°
∠ABC ≅ ∠ADC.
m∠ABC =
m∠ADC =
81°.
7)
DC =
29