Answer:
m = rise/run = 4/5.
Step-by-step explanation:
This line goes throught the "exact" grid intersections (-2, 0) and (3, 4). As we move from the first point to the second, we see that x increases by 5 (this is the 'run') and y increases by 4 (this is the 'rise'). Thus, the slope of this line is m = rise/run = 4/5.
For this case we have the following inequality:
The first thing we must do is to graph the linear function:
Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
Therefore, the shaded region contains all the ordered pairs that meet the inequality.
Answer: See attached image.
I don’t know for sure but maybe 60?
Answer:
<h2>
A(-2, 2) and B(6, 10)</h2>
Step-by-step explanation:
Given the equation of a line y = x + 4 and equation of a circle as
( x − 3 )² + ( y − 5 )² = 34, if the line and the circle intersect at points A and B, to get this points, we will substitute the equation of the line into that of the circle as shown;
We will have to expand the equation of the circle first before making the substitute.
( x − 3 )² + ( y − 5 )² = 34
x²-6x+9+y²-10y+25 = 34
x²+y²-6x+-10y+34-34 = 0
x²+y²-6x+-10y = 0
Substituting y = x+ 4 into the resulting expression;
x²+(x+4)²-6x+-10y = 0
x²+x²+8x+16-6x+-10(x+4) = 0
x²+x²+8x+16-6x+-10x-40 = 0
2x²-8x-24 = 0
x²-4x-12 = 0
(x²-6x)+(2x-12) = 0
x(x-6)+2(x-6) = 0
x+2 = 0 and x-6 = 0
x = -2 and 6
when x = -2;
y = -2+4
y = 2
when x = 6
y = 6+4
y = 10
The coordinates of the point of intersection are A(-2, 2) and B(6, 10).
Answer:
2528
Step-by-step explanation:
First, we follow the rules of PEMDAS
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
The first thing we need to do is Multiply
216 * 12
= 2592
Now we subtract
2592 - 64
= 2528
Best Of Luck,
- I.A. -
