Answer:
The first and last graph.
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations graphically
Step-by-step explanation:
In order for a systems of equations to have a solution set, the 2 graphs must intersect at at least 1 point. Here, we see that graphs 1 and 5 do not intersect each other at all.
Therefore, the rest of the graphs have solutions and #1 and #5 do no have any solutions.
The answer is B: a^3b^4<span>
Proof:
Simplify the following:
(a^7 b^8)/(a^4 b^4)
Combine powers. (a^7 b^8)/(a^4 b^4) = a^(7 - 4) b^(8 - 4):
a^(7 - 4) b^(8 - 4)
7 - 4 = 3:
a^3 b^(8 - 4)
8 - 4 = 4:
Answer: a^3 b^4
PS: I just wish that you put the equation down as it's intended i.e.
a^7b^8/a^4b^4 is not the same as (<span>a^7b^8)/(a^4b^4)</span>
</span>
<h2>Explanation:</h2>
Let's take a look at all of our options.
A. it is also a square
- A rectangle is NOT <em>always </em>a square because a square has congruent sides, so that means all four of its sides are <em>always </em>equal.
- A rectangle <em>can </em>be a square but it can also not be a square, so therefore A cannot be an option because it is not always true about a rectangle.
B. the sum of its angle measures is 360
- This is true because every quadrilateral's angle measures will add up to 360 degrees, no matter what. This is like how a triangle's angle measures always add up to 180 degrees.
- B is an option because it is an ALWAYS true statement.
C. it has four congruent angles
- A rectangle always has 90 degree angles, giving it its shape.
- Since a rectangle always has the same-degree angles, that means that it DOES have four congruent angles.
- C is also an option because it is always true.
D. it has four congruent sides
- A rectangle does not ALWAYS have four congruent sides. Say for example a rectangle has a longer length than its width.
- A square has four congruent sides, but a rectangle is not always a square, therefore this option is not applicable for a rectangle since it is not always true.
<h2>Answers:</h2>
B and C are always true of a rectangle.
Answer:
Step-by-step explanation:
The GCF (greatest common factor) of 24 and 30 is 6.
30-30/6=25
25 students in the class
24% of 25 is 6
6 girls in the class
Answer:
7. 16
8. 8
9. 8
10. 12
11. 12
12. 18
Step-by-step explanation:
The centroid cuts each median into parts in the ratio 2:1. This fact can be used to find the desired lengths.
7. SH = 2/3×SM = 2/3×24 = 16
8. HM = 1/3×SM = 1/3×24 = 8
9. TH = 2×DH = 2×4 = 8
10. HR = 2×EH = 2×6 = 12
11. TD = TH +DH = 8 +4 = 12
12. ER = EH +HR = 6 +12 = 18
