Answer:
19
Step-by-step explanation:
5*7 - 4*4
PEMDAS says multiply and divide first
35 - 16
Then add and subtract
19
Answer:
2x + 3y = 4
Step-by-step explanation:
The standard form:
Ax + By = C
So from the given form, arrange it to the standard form.
First, simplify the form by distribution.
y + 6 = -2/3(x - 11)
y + 6 = -2/3x + 22/3
Next, you make the fractions into whole by multiplying both sides by 3(this would eliminate all fractions).
(3)y + 3(6) = 3(-2/3x) + 3(22/3)
3y + 18 = -2x + 22
Now, arrange the "Ax" and the "C's".
3y + 18 = -2x + 22
2x + 3y + 18 = 22
2x + 3y = 22 - 18
2x + 3y = 4
Cheers!
X = 3 and y = 3. This can also be written as (3,3).
Answer:
yes
Step-by-step explanation:
14² +48² = 196 +2304 = 2500 = 50²
The three lengths (14, 48, 50) are a Pythagorean triple.
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<em>Additional comment</em>
The two smaller numbers correspond to side lengths. The larger one corresponds to the hypotenuse length.
We typically write the numbers of a Pythagorean triple in increasing order, but the order doesn't really matter. As sides of a triangle, the triangle formed is a right triangle, regardless of the order.
Answer: y = f(m)
Justification:
By definition, the graph of a function in the cartesian coordinate plane is the plot of the curve that join all the points that satisfy the equation of the function.
In the cartesian coordinate plane, each point is represented by a pair of coordinates (y, x). y is the value of the function f(x), and x is any input value of the function.
In this case, the function is given as f(m), which means that the input value is represented by m.
Hence, the graph is the plot of y = f(m).
The choice of the letter used for the variable is completely arbitrary and does not change either the math or the graph. It could have been said that the function is f(x) in which case the graph would be y = f(x). Nothing changes but the name that you use.