Step-by-step explanation:
"product" means multiplication. the same as "times".
so,
135 = r×9
Answer:
coefficients: {-2, +9, -3}
variables: {x}
terms: {-2x^2, 9x, -3}
constant: {-3}
Step-by-step explanation:
It is difficult to "label" here, so we'll list each, separated by commas.
<u>Coefficients</u>
Coefficients are the multiplicative factor of an expression. Depending on the expression of interest, it may consist of numbers, variables, or expressions. Here, we consider the expression of interest to be powers of x, so the coefficients are as listed. The last one (-3) is sometimes called a "constant coefficient." It multiplies x^0.
coefficients: {-2, +9, -3}
<u>Variables</u>
A variable is usually a letter, symbol, or sequence of letters and symbols, that stands for something else--usually an unknown quantity. Its meaning and value will depend on the context. Generic variables are usually taken from the end of the alphabet: x, y, z. Their capitalization, font, or face may give special meaning. For example bold-face capital letters may be used to represent vectors or matrices.
variables: {x}
<u>Terms</u>
A term is a product of coefficients and variables. Terms in a polynomial are separated by addition or subtraction symbols.
terms: {-2x^2, 9x, -3}
<u>Constant</u>
"Constant" usually refers to a term containing no variables. It generally refers to a value that doesn't change.
constant: {-3}
Step-by-step explanation:
since both objects and sides are similar, you can set each side equal, then you cross multiply, and do subtraction, then find x.
Answer:
Step-by-step explanation:
First, the acceleration of gravity is -9.8m/s^2. This still works out since the formula uses 1/2 of it.
Hopefully you see where the other parts come from. Anyway, standard form of a quadratic is ax^2+bx+c=0. So this is almost there. You just need to subtract that 2.1 from both sides.
-4.9t^2+7.5t+-.3=0
Now with this, since it has taken into account the height that the ball was caught with that 2.1, you just need to find the 0s, which is what the quadratic equation does.
The quadratic equation is (-b±sqrt(b^2-4ac))/(2a) and we have a = -4.9, b = 7.5 and c = -.3. Remember you want to keep the signs. Now we just plug in.
(-b±sqrt(b^2-4ac))/(2a)
(-7.5±sqrt((-7.5)^2-4*-4.9*-.3))/(2*-4.9)
(-7.5±sqrt(56.25-5.88))/(.9.8)
(-7.5±sqrt(50.37))/(-9.8)
(-7.5±7.097)/(-9.8)
The plus or minus means there are two equations.
(-7.5+7.097)/(-9.8) and (-7.5-7.097)/(-9.8) So we will solve for both of these.
.04112 and 1.4895. That means these two times are when the ball is at 2.1 meters. One time on the way up and one time on the way down. We can safely assume that the other player catches the ball on the way down, so we want to use the second time, so 1.4895 seconds.
