Answer:
and
Step-by-step explanation:
The equation of curve is
We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
The point of tangency is (-3,1). It means the slope of tangent is .
Substitute x=-3 and y=1 in the above equation.
Divide both sides by 130.
If a line passes through a points with slope m, then the point slope form of the line is
The slope of tangent line is and it passes through the point (-3,1). So, the equation of tangent is
Add 1 on both sides.
Therefore, and .
To solve this problem, we must substitute each variable a in the expression with a 4 and each variable b in the expression with a 3. This is modeled below:
(ab)2
(4*3)2
To simplify, we must remember to use the order of operations, which is outlined by PEMDAS. This tells us that we should compute numbers in parentheses first, exponents next, then multiplication and division, and finally addition and subtraction. In this example, we are going to compute what is in the parentheses first.
(4*3)2
12 * 2
Next, we can solve using multiplication.
24
Therefore, your answer is 24.
Hope this helps!
Answer:
giigggggggglglglgglglglggllglglgl
Answer:
<u>4y = x + 13</u>
Step-by-step explanation:
The general equation of the line y = mx + c
where m is the slope and c is constant represent y-intercept
The line shown in the graph pass through the points (3,4) , (-1,3)
The slope of the line = (y₂-y₁)/(x₂-x₁) = (3-4)/(-1-3) = -1/-4 = 1/4
∴ y = (1/4) x + c
Substitute with the point (3,4) to find c
∴ 4 = (1/4) 3 + c
∴ c = 4 - 3/4 = 13/4
∴ y = (1/4) x + 13/4 ⇒ multiply both sides by 4
∴ 4y = x + 13
So, The equation of the line in the graph: 4y = x + 13
The equation can be written as <u>y = (1/4) x + 13/4 OR 4y - x = 13</u>
Answer:
yes 6 and 3 is correct so is answer