Two functions have equal values where their graphs cross.
A) The solution to the pair of equations
.. y = p(x)
.. y = f(x)
will be where the graphs intersect, at (x, y) = (-3, -3).
B) We already know that (-3, -3) is one solution to y=f(x). The graph also appears to go through the point (0, 0).
C) p(x) = g(x) where their graphs cross, at x = -6. Both functions have the value 1 for that value of x.
Answer:
a) 3
b) 4
Step-by-step explanation:
The point P is(3,4)
which means that 3 is the point P's x- coordinate and 4 is it's y-coordinate
Because we use the axes as our reference point when plotting points,
the distance of P from x-axis and y-axis would be the point itself.
Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360
The total area is 1289.41 units².
The total perimeter is 281.32 units.
<h3>What is the total area and perimeter?</h3>
The first step is to determine the side lengths of the other squares:
- Length of the second square = 2/3 x 27 = 18
- Length of the third square = 2/3 x18 = 12
- Length of the fourth square = 2/3 x 12 = 8
- Length of the fifth square = 2/3 x 8 = 5.33
Area of a square = length²
Perimeter of a square = 4 x length
- Area of the first square = 27² = 729
- Area of the second square = 18² = 324
- Area of the first square = 12² = 144
- Area of the first square = 8² = 64
- Area of the first square = 5.33² = 28.41
Total area = sum of the areas of the 5 squares = 1289.41 units²
- Perimeter of the first square = 4 x 27 = 108 units
- Perimeter of the second square = 4 x 18 = 72
- Perimeter of the third square = 4 x 12 = 48
- Perimeter of the fourth square = 4 x 8 = 32
- Perimeter of the fifth square = 4 x 5.33 = 21.32
Total perimeter = 281.32 units
To learn how a square, please check: brainly.com/question/9030544
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