Answer:
Step-by-step explanation:
<h3>C=π×d=3.142×160=502.72
</h3><h3>502.72/4=125.68cm
</h3><h3>Because we can make from the rectangle two squares and then we would have 4 squares in total.</h3><h3>That is for 2 marks.If you have got any ideas for the other two marks,I would love to hear from you.I am doing the same question.Also,I see you have done question 7.Would you mind to help me with it?</h3>
<span>4x-y = 15
3x+2y = -8
Multiplying the first equation by two makes for an easy elimination of the y variable.
8x - 2y = 30
3x + 2y = -8
Add vertically.
11x = 22.
Divide by 11 on both sides and get x = 2.
Plug into an equation.
4(2) - y = 15
8 - y = 15
8 = 15 + y
8 - 15 = y
-7 = y.
Thus the solution is indeed (2, -7).</span>
Multiply 10 x 20 and change the sign
-200
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Answer:
20
Step-by-step explanation:
Step 1: find the derivative of y = x^2 + 12x - 7; it is 2x + 12.
This function represents the slope of the tangent line to the given curve at x.
Step 2: Substitute 4 for x in f '(x) = 2x + 12: f '(4) = 2(4) + 12 = 20
The slope of the tangent line to the graph of y = x^2 + 12x - 7 at x = 4 is 20.
