Answer:
Step-by-step explanation:
we have : lines 2 x + 4 y = 0 and 2 x + y = 10
Let ,
2 x + 4 y = 0............. (1)
2 x + y = 10...............(2)
solve these equations for x and y
Now subtract (2) from (1) ,we get
3y=-10
⇒y = 
Put the value of y in (1) , we get
2x+4() = 0
⇒2x= 
⇒x=
∴ Point of intersection is 
.
Hence,the x-coordinate of that point is .
U count how many students were walking then multiply it by half itself
Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer:
Which of the following accurately depicts the transformation of y= x^2 to the function shown below? y=2(x-3)^2+5
A. Shift left 3 units, shrink vertically to 1/2 of the original height, then shift up 5 units.
B. Shift right 3 units, stretch vertically by a factor of 2, then shift up 5 units.
C. Shift up 3 units, stretch horizontally by a factor of 2, then shift left 5 units.
D. Shift 5 units right, stretch vertically by a factor of 3, then shift up 2 units.
Step-by-step explanation:
For f(x) = 4x+1 and g(x)= x^2-5, find (f/g) (x).
Answer:
See explanation
Step-by-step explanation:
Plot the solution sets to both inequalities.
1. For the inequality 
First, plot the dotted line 
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.
so the origin does not belong to the needed part. Shade the part, which does not include origin.
2. For the inequality 
First, plot the dotted line 
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.
so the origin does not belong to the needed part. Shade the part, which does not include origin.
3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.
