A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

You need to find the value of c so solve the first equation in terms of x:

-5c + x = 2
x = 2 + 5c

then substitute the result (2 - -5c) into the second equation:

-c + 4(2 + 5c) = -1
-c + (4 x 2) + (4 x 5c) = -1
-c + 8 + 20c = -1
-c + 20c = -1 - 8
19c = -9
c = \( \frac{-9}{19} \)
c = -\(\frac{9}{19}\)

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 3) and (2, 1) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x + 2

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 12cm + 11cm + 7cm = 30cm

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(3a)(4ab) + (3a²)(5b)
(3 x 4)(a x a x b) + (3 x 5)(a² x b)
(12)(a¹⁺¹ x b) + (15)(a²b)
12a²b + 15a²b
27a²b