Answer: (-3,5)
Step-by-Step Solution:
1. Set 1 equation equal to y
3y-2x=21
3y=2x+21
y=2/3x+7
2. Set the other equation equal to y
4y+5x=5
4y=-5x+5
y=-5/4x+5/4
3. Set the equations equal to each other, and solve for x
2/3x+7=-5/4x+5/4
2/3x+23/4=-5/4x
(Multiply by 12 on both sides to get rid of fractions)
8x+69=-15x
8x=-15x-69
23x=-69
x=-3
4. Solve for y
(Choose any of the equations)
y=2/3x+7
y=2/3(-3)+7
y=-2+7
y=5
ANSWER: (-3,5)
There will be 36 squares in the 8th step of the pattern
<h3>How to determine the number of squares?</h3>
The pattern and the squares are represented as:
<u>Pattern Squares</u>
1 1
2 3
3 6
4 10
This can be rewritten as:
<u>Pattern Squares</u>
1 1
2 1 + 2
3 1 + 2 +3
4 1 + 2 + 3 +4
So, the number of squares on the 8th pattern is:
8th pattern = 1 + 2 + 3 +4 + 5 + 6 + 7 + 8
Evaluate
8th pattern = 36
Hence, there will be 36 squares in the 8th step
Read more about patterns at:
brainly.com/question/7882626
#SPJ1
Answer:
56.
Step-by-step explanation:
That is the number of permutations of 2 from 8
= 8P2
= 8!/(8-2)!
= 8!/6!
= 8 * 7
= 56.
Answer:
18
Step-by-step explanation:
4x + 5x = 180
10x = 180
x = 18
10 ×10 = 100
100 ×25 = 2500
so your answer is 2500
