Answer:
B
Step-by-step explanation:
The explicit rule for a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 64 and r =
=
= 2 , then
= 64
→ B
The answer should be A because point slope form is y-y1=m(x-x1)....M is the starting point and its -56 and y1(-4) is the y value of the coordinate point and x1(8) is the x value of the coordinate point. it changes to y+4 because two negative signs make a positive(y--4)
Answer:
A is the midpoint
Step-by-step explanation:
Given
A(5.2) B(6,-3) and C(4.7)
Required
Which is the midpoint
Midpoint is calculated using:

Testing A as the midpoint, we have:




<em>The above equation is true. Hence, A is the midpoint of B and C</em>
Answer: g(x) is -x² -3
Step-by-step explanation:
First, you know that the parabola is facing downwards, so the x must be negative.
Next, it is 3 units down from the parent graph, which adds that -3.
All of these add up to get your final equation:
g(x) is -x² -3
AC is perpendicular to BD.
<h3>
Further explanation</h3>
- We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that
is reflexive. - The length of the base of the triangle is the same, i.e.,
. - In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely
. Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:

- ∠ACB = ∠ACD

- - - - - - - - - -
The following is not other or additional information along with the reasons.
- ∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and

- ∠BAC = ∠DAC no, because that is ASA with
and ∠ACB = ∠ACD.
no, because already marked.
- - - - - - - - - -
Notes
- The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
- The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
- The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
- The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.
<h3>Learn more</h3>
- Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
- Which shows two triangles that are congruent by AAS brainly.com/question/3767125
- About vertical and supplementary angles brainly.com/question/13096411