Answer:
The amount driven would be 275, and the cost for both plans will be 77.75$
Step-by-step explanation:
make both equations
y=0.09x+53
y=0.13x+42
set them equal to each other and solve for x to get the distance
take that number and put it in one equation and solve for y to get the price of the plan for that value
Answer:
so the answer is B
Step-by-step explanation:
Answer:
Step-by-step explanation:
If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,
(x, y) → (x + 4. y + 1)
Therefore, vertices of the image triangle ABC will be,
A(2, 2) → A'(2+4, 2+1)
→ A'(6, 3)
B(5, -1) → B'(5+4, -1+1)
→ B'(9, 0)
C(1, -2) → C'(1+4, -2+1)
→ C'(5, -1)
Then reflected across y-axis.
Rule for the reflection across y-axis will be,
(x, y) → (-x, y)
A'(6, 3) → A"(-6, 3)
B'(9, 0) → B"(-9, 0)
C'(5, -1) → C"(-5, -1)
Answer: D) 3x - 5
Step-by-step explanation:
f(x) - g(x)
f(x) = 1/2x - 3
g(x) = -5/2x + 2
Using the values of f(x) and g(x) gives us the equation:
1/2x - 3 - (-5/2x +2)
By distributing the negative sign, the signs on 5/2 and 2 are flipped, making them positive and negative respectively.
Our new equation is:
1/2x -3 + 5/2x -2
Adding up like numbers gives us:
6/2x - 5
Simplifying 6/2x => 3x
So our final equation is:
3x - 5
Hope this helps!
Using opposite outside angle on a circle is the inside angle times 2.
A is opposite the inside angle of 45, so a = 45 x 2 = 90 degrees.