Answer:
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
Step-by-step explanation:
x = 3 + t
y = t² − 4
Eliminating the parameter:
t = x − 3
y = (x − 3)² − 4
This is an upwards parabola with a vertex at (3, -4).
x = 3 + t, so as t increases, x increases.
So the curve is traced from left to right.
For #2:
<span> 3x^2 + 4 – 2x^2 + 6</span>
<span><span>You need to combine your like terms:
</span>
3x^2 – 2x^2= x^2</span>
4 + 6 = 10
This will now give you:
<span>X^2 +10</span>
Answer:
When c and a are positive or both are negative
Step-by-step explanation:
negative times negative equals positive so if a was negative and c was negative -a*-c= ac
Of course positive times positive equals negative so if a and c were positive we could do
a*c= ac
Hope I could help !
Answer:
Step-by-step explanation:
4/5 cup of brown sugar. Needs 1/4 cup. How many cups left?
Okay, so 4/5 = 0.80, 1/4=0.25.
0.80-0.25=0.55
Which is 55/100
Divide both numbers by 5
11/20
<u> </u><u>48 square inches per inch </u><u> is the average rate of change in surface </u><u>area</u><u>.</u>
What is an area in math?
The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.
The surface area of a cube of side length e is:
A(e) = 6 *e².
The rate of change is:
A'(e) = 2 * 6 * e
The average rate of change between 3 in and 5 in is:
r = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in
Now, the options are given in:
"squere inches per inch"
This is written as:
in^2/in = in.
Then we can write our above rate as:
r = 48in = 48in^2/in = 48 square inches per inch.
Learn more about area
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