0.632 in expanded word form is six hundred thirty two thousandths <span />
Whatever your choices are, just substitute the x and y values to the equations. If they satisfy the inequality, then they are the solutions. For example, point (7, 1) satisfies the inequalities.
y > -2x
1 > -2(7)
1 > -14 (true)
<span>3y < x – 2
3(1) < 7 - 2
3 < 5 (true)
I hope I was able to help you. Have a good day.</span>
Gradient (m) = change in y/change in x
-2-5/0–2 = 3.5
gradient (m) = 3.5
Now evaluate one of the coordinates and the gradient in the equation
y = mx + c
-2 = 3.5(0) + c
c = -2
so the answer is
y = 3.5x -2
We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.
Remember that for a circle of diameter D, the perimeter or circumference is:
p = pi*D
where pi = 3.14
So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.
Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10
Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:
C = (1/2)*3.14*10 = 15.7
And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:
Perimeter = 15.7 + 10 + 10 = 35.7
If you want to learn more, you can read:
brainly.com/question/9350935
