Answer:
For a flag with 2 different colours, there are 8 possible colours for the first colour to be chosen from and 7 possible colours (excluding the first colour already chosen) for the second colour to be chosen from, given that colours are different. Hence there are a total of 8 x 7 = 56 possible flags to be created.
Step-by-step explanation:
Answer:
y = -2x + 5
Step-by-step explanation:
Recall that slope-intercept form is y = mx + b where m is the slope and b is the y intercept
In this case our slope is m = -2
and, line crosses y-axis at 5 which is b = 5
thus, y = -2x + 5
We know that the area of a rectangle is length * width, and the area of a triangle is 1/2 * base * height. However, we know that the areas are equal, or that
lw = 1/2bh
If we substitute in the measurements that we know, we can solve the following equation for x.
5x + 1 (x) = 1/2(8x)(x+1)
Let's simplify this equation by multiplying.
5x² + x = 4x² + 4x
Now, let's bring all of the variables to one side of the equation.
x² - 3x = 0
Finally, we should factor out the Greatest Common Factor.
x(x-3) = 0
Therefore, by the Zero Product Property, x = 0, 3. But since the measurement of the short side length of the rectangle is x, it cannot be zero. Thus, x = 3.
The question asks for the area of the rectangle, which is <span>5x² + x.
</span>
Let's solve this expression for x = 3.
5(3)² + 3
5(9) + 3
45 + 3
48
Therefore, the area of the rectangle is 48 square units, or option B.
Answer:
10 meters is equivalent to 100 centimeters.
Step-by-step explanation:
100 centimeters in 1 meter.
