1. Radius
2. Tangent
3. Chord
4. Diameter
9514 1404 393
Answer:
y = -3x +6
Step-by-step explanation:
The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.
The equation will look like ...
x -3y = 3 . . . . . . . . . . . . . given line
3x +y = constant . . . . . . perpendicular line
where "constant" can be found by substituting for x and y.
3x +y = 3(5) +(-9)
3x +y = 6 . . . . equation in standard form
To put this in slope-intercept form subtract 3x:
y = -3x +6
Answer: The height of the building = 56 feet.
Step-by-step explanation:
Let AB be the height of the building and BC be the distance of the car from the building on the ground.
Now , ∠ C = 32° [Alternate interior angles ]
According to the trigonometry,
Hence, the height of the building = 56 feet.
Answer:
x-intercepts = 1,2, and 4, y-intercept = -8
Step-by-step explanation:
x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).
Solving for x-intercepts:
- We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
- Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
- From here we can separate the polynomial into two binomials.
- x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
- Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).
Solving for y-intercept:
- The y-intercept is always the coefficient that does not have any assigned x-variables.
- The coefficient is -8, thus the y-intercept.
- If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
- If there is no coefficient, the y-intercept is equal to zero.
Answer:
2,3,6
Step-by-step explanation:
5,226 ...(1)
unit digit=6
6 is divisible by 2,
so (1) is divisible by 2.
last two digits=26 ,not divisible by 4,
so (1) is not divisible by 4.
5+2+2+6=15 divisible by 3 but not divisible by 9.
so (1) is divisible by 3 but not divisible by 9.
2×3=6,so (1) is divisible by 6.
unit digit=6≠0 or 5
so (1) is not divisible by 5 or 10.
