Hi there!
y = x² - 5x - 6
Rewrite into factored form by finding two numbers that sum up to -5 and multiply into -6. We can use the numbers -6 and 1:
y = (x - 6)(x + 1) is the equation in factored form.
There are zeroes at:
0 = x - 6
x = 6
0 = x + 1
x = -1
Find the x-value exactly half-way between the two zeroes to find the axis of symmetry:
(-1 + 6) / 2 = 5 / 2 = 2.5
Therefore, the equation for the line of symmetry is:
x = 2.5
Answer:
Step-by-step explanation:
I put both volume and area
Answer:
The given lines are perpendicular.
Step-by-step explanation:
In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).
It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.
To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.
Step 1 of 2
Find the slope of first line.
Step 2 of 2
Find the slope of first line.
And
Since, both slopes are reciprocal of each other.
Therefore, the lines are perpendicular.
9514 1404 393
Answer:
19,463 cm²
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)ij·sin(K)
Filling in the values, we find the area to be ...
A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²
