Use point (-3,2):
2 = 4*(-3) + b
b = 2 +12
b = 14
The equation is y = 4x + 14
Step-by-step explanation:
3 and 5 eights. All you have to do is subtract 5- 11/8 which is 1 and 3/8 which will give you 3 and 5 over eight as a answere
Answer:
Yes you can have some peace of mind, because your house is safe. Since, the flagpole is only 14.85 feet, is shorter than the 18 feet of distance from its base to your home.
Step-by-step explanation:
What you need to do is to estimate the height of the pole using its shadow, and the relationship between the height of the fence and it respective shadow:
- <em>For a rectangle triangle, the proportion of its shorter sides are constant</em>.
- <em>The shadows of the fence and of the pole, both form two rectangle triangle.</em>
- <em>The first triangle</em>, the smaller one, <em>has a base of 7 feet</em> (the shadow of the fence), <em>and a height of 4 feet</em> (the corresponding height of the fence)
- <em>The second</em> one, a bigger one, <em>has a base of 26 feet</em> (the shadow of the flagpole), <em>and an unknown height</em> (the height of the pole that its worrying you).
- Then, as stated, the proportion for both triangles remains constant. So:
, where<em> x is the height of the pole.</em> - x is solved as:
. Meaning that the flagpole has 14.85 feet of height. - Then when the height is compared to the distance from its base to your home, it is found that the pole is shorter then, there is no risk of the pole falling into your house.
Y = 3x^2 - 3x - 6 {the x^2 (x squared) makes it a quadratic formula, and I'm assuming this is what you meant...}
This is derived from:
y = ax^2 + bx + c
So, by using the 'sum and product' rule:
a × c = 3 × (-6) = -18
b = -3
Now, we find the 'sum' and the 'product' of these two numbers, where b is the 'sum' and a × c is the 'product':
The two numbers are: -6 and 3
Proof:
-6 × 3 = -18 {product}
-6 + 3 = -3 {sum}
Now, since a > 1, we divide a from the results
-6/a = -6/3 = -2
3/a = 3/3 = 1
We then implement these numbers into our equation:
(x - 2) × (x + 1) = 0 {derived from 3x^2 - 3x - 6 = 0}
To find x, we make x the subject of 0:
x - 2 = 0
OR
x + 1 = 0
Therefore:
x = 2
OR
x = -1
So the x-intercepts of the quadratic formula (or solutions to equation 3x^2 - 3x -6 = 0, to put it into your words) are 2 and -1.
We can check this by substituting the values for x:
Let's start with x = 2:
y = 3(2)^2 - 3(2) - 6
= 3(4) - 6 - 6
= 12 - 6 - 6
= 0 {so when x = 2, y = 0, which is correct}
For when x = -1:
y = 3(-1)^2 - 3(-1) - 6
= 3(1) + 3 - 6
= 3 + 3 - 6
= 0 {so when x = -1, y = 0, which is correct}
Answer:
The slope would be 4/-3
Step-by-step explanation:
8-(-4)
= 4/-3
2-5
