Answer:
22
Step-by-step explanation:
The midsegment is always half as long as the base, so
2(6 + 4x) = 5x + 24
12 + 8x = 5x + 24
3x = 12
x = 4
Replace the 4 in for x,
6 + 4(4) = 22
Answer:
<em>x = 4 / 3, y = 7 / 3</em>
Step-by-step explanation:
We are given the following system of equations;
{ 7x - y = 7, ⇒ Let us multiply the first equation by 2,
x + 2y = 6 }
2 * ( 7x - y = 7 ) ⇒ 14x - 2y = 14 ⇒ Now add the two equations
+ x + 2y = 6 + x + 2y = 6
14x + x = 14 + 6 ⇒ Simplify
15x = 20,
<em>x = 4 / 3</em> ⇒ Now substitute this value of x into the first equation to solve for the value of y,
7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,
28 / 3 - y = 7,
y = 7 / 3
<em>Solution; x = 4 / 3, y = 7 / 3</em>
Question 1) Write an absolute value equation that is reflected, vertically shifted 2/3 units down and 1/2 units to the right.
Answer 1):
We know that absolute function is given by y=|x|
reflection happens when we multiply by negative sign so we get
y=-|x|
To get vertical shift down, we subtract so new equation is
y=-|x|-2/3
To get right shift by h unit, we replace x by (x-h) so the new equation is
y=-|x-1/2|-2/3
Hence final answer is

Question2) Write an absolute value equation with a horizontal shift 4 units to the right.
Answer:
We know that absolute function is given by y=|x|
To get horizontal right shift by h unit, we replace x by (x-h) so the new equation is

Hence final answer is
.
do we have to simplify it or expand it coze it is already simplified
Answer:
4
Step-by-step explanation:
because raidius is any given line from the center of the circle to the circumference