Answer:
Option (4)
Step-by-step explanation:
Vertical angles theorem;
"Two vertically opposite angles formed by the intersection of two straight lines are congruent"
By this theorem,
If ∠1 and ∠2 are the vertical angles Given
∠1 ≅ ∠2 Vertical angles theorem
Therefore, Option (4) is the correct option.
For logarithmic equations,
log
b
(
x
)
=
y
logb(x)=y
is equivalent to b
y
=
x
by=x
such that x
>
0
x>0
, b
>
0
b>0
, and b
≠
1
b≠1
.In this case, b
=
5
b=5
, x
=
25
x=25
, and y
2
y=2
.
b
=
5
b=5
x
=
25
x=25
y
=
2
y=2
Substitute the values of b
b
, x
x
, and y
y
into the equation
b
y
=
x
by=x
.
5 squared
=
25
5squared=25
Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
This may or may not be right.
You know that they are a graduate, and the total number of graduates are 2610.
The amount of graduates receiving financial aid is 1879.
The probability that a graduate student is on financial aid is: 1879/2610 = 0.7199 or 72%
Answer:
(4,1), (-4,1), (4,6), (-4,6)
Step-by-step explanation:
Here can be identified two points with the same 'y' value: (4,1), (-4,1)
it means that there is a line passing by y=1
Same for (4,6), (-4,6): it means that there is a line passing by y=6
Now find the distance between two points in both cases
