Answer:
Teresa drive <u>90 miles</u> on Tuesday.
Step-by-step explanation:
Given:
Teresa drove on Monday, Tuesday and Wednesday.
On monday her driving distance was 120 miles.
The ratio of Wednesdays distance is 3/5.
The ratio of Wednesdays distance to Tuesday's distance is 5/4.
Now, to find the miles Teresa drive on Tuesday:
Teresa driving distance on Monday was = 120 miles.
Her driving distance on Wednesday is = 
Now, her driving distance on Tuesday is:
Therefore, Teresa drive 90 miles on Tuesday.
There are 6 different ways:
23,598
23,958
25,398
25,938
29,538
29,358
Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
Answer:
none
Step-by-step explanation:
, the answer 17.25, there must a be a typo in your question
1 Move all terms to one side.
{x}^{2}+15x+45=0
x
2
+15x+45=0
2 Use the Quadratic Formula.
x=\frac{-15+3\sqrt{5}}{2},\frac{-15-3\sqrt{5}}{2}
x=
2
−15+3
5
,
2
−15−3
5
3 Simplify solutions.
x=-\frac{3(5-\sqrt{5})}{2},-\frac{3(5+\sqrt{5})}{2}
x=−
2
3(5−
5
)
,−
2
3(5+
5
)
