Answer:
-7.
Step-by-step explanation:
At the point -4 the graph just touches the x axis ( as its an even power) but at x = -7 it crosses the x axis ( because of the odd power 5).
The graph rises from the left and pass through the x axis at (-7,0).
Answer: Area = x² + 6x + 8
Step-by-step explanation:
Area = length x width
Area = (x+2)(x+4)
Area = (x)(x) + (x)(4) + (2)(x) + (2)(4)
Area = x² + 4x + 2x + 8
Area = x² + 6x + 8
Answer:
The perimeter of the dog run will use 67.2 feet of fencing.
Step-by-step explanation:
First find how long the width is.
24 * 2/5 = 9.6
The width of the fence is 9.6 feet.
To find the total perimeter, add double the length and width.
24 * 2 = 48
9.6 * 2 = 19.2
48 + 19.2 = 67.2
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
