Step-by-step explanation:
the numbers : x, y
x = 5 + 3y
x + y = 33
when using the first equation in the second we get the mentioned equation (it does not matter which of the 2 numbers is x and which is y, it can all be vice versa, as you can see) :
5 + 3y + y = 33
5 + 4y = 33
4y = 28
y = 7
so, when you try the numbers above in the unsimplified equation, you will also find that 7 is the right answer.
the other number is based on my equations (with the reversed names) :
x = 5 + 3y = 5 + 3×7 = 5 + 21 = 26
the smaller number is 7.
the larger number is 26.
Answer:
The length of a side of the square is 6.3 units.
Step-by-step explanation:
When given vertices for a given shape, the length of the side is calculated using the formula:
√(x2 - x1)² + (y2 - y1)²
When given vertices (x1 , y1) and (x2 , y2)
Square ABCD has vertices A(-2,-3), B(4, -1), C(2,5), and D(-4,3). Find the length of a side
Side AB : A(-2,-3), B(4, -1)
√(x2 - x1)² + (y2 - y1)²
= √(4 -(-2))² + (-1 -(-3))²
= √ 6² + 2²
= √36 + 4
= √40
= 6.3245553203
≈ 6.3 units
B(4, -1), C(2,5),
√(x2 - x1)² + (y2 - y1)²
= √ (2- 4)² + (5- (-1))²
= √-2² + 6²
= √4 + 36
= √40
= 6.3245553203
≈ 6.3 units
C(2,5), D(-4,3).
√(x2 - x1)² + (y2 - y1)²
= √(-4 - 2)² + (3 - 5)²
= √-6² + -2²
= √36 + 4
= √40
= 6.3245553203
≈ 6.3 units
A(-2,-3), D(-4,3).
√(x2 - x1)² + (y2 - y1)²
= √(-4 -(-2))² + (3 - (-3))²
= √-2² + 6²
= √4 + 36
= √40
= 6.3245553203
≈ 6.3 units
You would use the Law of Sines here. First realize that if A and B equal 35 and 65 respectively, C=180-65-35=80°. Then from the Law of Sines:
b/sin65=15/sin80
b=15sin65/sin80
b≈13.8 units (to the nearest tenth of a unit)
Answer:
4 operations b/c thats how many is in the box
them you do addition using PEMDAS( perinthasis exponets multiplication division addition subtraction hope this is helpful
Step-by-step explanation: