Answer:
The slope is -1/2
Step-by-step explanation:
Hope it helps :3
Answer:
y = 2(x - 1)² - 3
Step-by-step explanation:
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
Here (h, k) = (1, - 3), thus
y = a(x - 1)² - 3
To find a substitute (- 1, 5) into the equation
5 = a(- 1 - 1)² - 3
5 = (- 2)²a - 3 ( add 3 to both sides )
8 = 4a ( divide both sides by 4 )
a = 2
Thus
y = 2(x - 1)² - 3 ← in vertex form
Answer: The area of the hexagonal base is 96 square roots of 3.
The hexagon is divided into 6 congruent triangles. All we have to do is find the area of one of these shapes and multiply by 6.
The base of each triangle is 8 because the triangles are equilateral and one side is already given. The height is 4 square roots of 3 because it is a 30/6090 triangle.
To find the area, we multiply 8 x 4 square roots of 3 and divide by 2 to get 16 square roots of 3.
Multiply 16 by 6 and you get 96 square roots of 3.
Given Information:
Distance = 160 miles
Required Information:
Rate = r = ?
Answer:
Rate = r = 20 mph
Step-by-step explanation:
Recall that the rate is given by
Rate = distance/time
It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.
Mathematically,
Simplify the equation
Now we are left with a quadratic equation.
We may solve the quadratic equation using the factorization method
So,
OR
Since rate cannot be negative, discard the negative value of r
Therefore, the rate is
You can find the slope by making the equation into slope-intercept form, in other words, solving it for y.
6x - 3y = 12 Subtract 6x from both sides
-3y = -6x + 12 Divide both sides by -3
y = 2x - 4
Slope Intercept form is y = mx + b, where m represents slope. M in your equation is 2, so the slope of the line is 2.
