Answer:
Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...
To find the answers, substitute the variables (letters) in the equation for the number on that line that corresponds to that letter, then solve with the equation.
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1
Answer:
So, coordinate of intersection point = (2,0)
Explanation:
Given a triangle DCE whose coordinate of the vertex are :
D(−4, 0), C(0, −2), and E(5,3)
We will find the equation of CE
Firstly find the slope of CE
Slope (m) = 
m =
= 1
Equation of line is :
y - y₁ = m(x - x₁)
y - (-2) = 1(x-0)
y + 2 = x equation of CE
Find the intersection point of CE and x-axis
Put y = 0 to find the x-intercept
0 + 2 = x
x = 2
So, coordinate of intersection point = (2,0)
11.6 is the correct answer.