Answer:
<em>JM = 5 mm </em>
Step-by-step explanation:
Δ JMK is the right angled triangle ⇒ JM² = JK² + KM²
JM² = 3² + 4²
<em>JM = 5 mm</em>
Answer:
p(t) = 5*2^t
Step-by-step explanation:
We can solve for 'a' and 'b' using the point coordinates shown on the graph.
<h3>Setup</h3>
Substituting for (t, p(t)), the two equations we can make from the given points are ...
p(t) = a*b^t
5 = a*b^0 . . . . . . . (t, p(t)) = (0, 5)
10 = a*b^1 . . . . . . . (t, p(t)) = (1, 10)
<h3>Solution</h3>
The first equation tells you ...
5 = a
The second equation tells you ...
10 = 5*b
2 = b
<h3>Equation</h3>
The function is ...
p(t) = a*b^t
p(t) = 5*2^t
Answer:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
Answer:
When we add polynomials, we ADD the coefficients but keep the VARIABLES the same.
Step-by-step explanation:
"coefficients" are the numbers right next to a variable. "Variables" are the letters we use for unknown numbers in a math phrase(expression) or sentence(equation).
So you only add the number besides the variable when the terms have the same variable.
Example:
4x + 3m + 5x + 2m
= 9x + 5m
See we only added the 4 and the 5 bc they were both beside the x and we added the 3 and the 2 bc they were both beside the m. See image for another example.
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