Answer: D
Sound waves with higher amplitudes sound louder than sound waves with lower amplitudes. Constructive interference will make a sound louder while destructive interference will make a sound quieter. Two waves that add together may have different frequencies.
Step-by-step explanation:
when multiplied together, the gradients of the 2 graphs should equal -1 (of they are perpendicular).
x-7y=4
-7y= -x + 4
y= -1/7 x + 4/7
21x+ 3y=11
3y=-21x+11
y=-21/3 x + 11/3
-21/3 * -1/7 = 1
when multipled together, the 2 gradients dont equal -1 therefore they are not perpendicular
unless I've made a mistake with the signs at some point haha
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:
0
Step-by-step explanation: 3-5=-2+6=4-4=0
7/4? is that what you wanted
