Answer:
9x+2y=-10
Explanation:
First, we would need to organize the information given into slope-intercept form.
Slope-intercept form: y=mx+b
Here’s what the variables mean:
Y=the y coordinate
M=the slope
X=the x coordinate
B=the y-intercept (the point on the line that intercepts the y-axis)
When a linear equation in slope-intercept form is complete, the x and y variables are left just as they are. Knowing this, we just have to plug in the values given for the coordinate and solve for b, the y-intercept.
(-2,4),
y=mx+b
4=m(-2)+b
4=-2(-9/2)+b
4=9+b
Subtract 9 on both sides
4-9=9+b-9
-5=b
Awesome! Now, we know that the equation in slope-intercept form is:
y=-9/2x-5
To organize it into standard form, we need to move some things around.
Standard form: Ax+By=C
(A, B and C don’t have any kind of direct interpretation on a graph.)
y=-9/2x-5
Move the x variable to the other side
9/2x+y=-9/2x-5+9/2
9/2x+y=-5
It may look like we’ve finished here, but A, B and C need to be integers, meaning we cannot have any fractional values in these places.
9/2x+y=-5
Multiply both sides by 2 since it is the denominator
9x+2y=-10
I hope this helps! Please comment if you have any questions.
The x-intercepts are indeed -1 and 1.
The increasing intervals are listed as (-1, 0) u (1, infinity) not because -1 and 1 are not included points of the function, but because the function is not differentiable in those points, so you can't tell whether the function is increasing or decreasing there.
Area of a rectangle=l*w
Perimeter=2l+2w
w=74
l=99
Area=74*99= 7326 ft^2
Perimeter= 2(74)+2(99)= 346 ft
Answer:
169
Step-by-step explanation:
13*13=169
We can split the two 13's up:
(10+3)(10+3)
Multiply 10 with 10, 10 with 3, 3 with 10, and 3 with 3.
Basically, just multiply every single term together.
100+30+30+9
100+69
169
Hope this helps!
An easy way is to work out their speed. Speed = distance/time.
First part: Speed = 330/5.5 = 60 mph
Finally, the second part: time = distance / speed
So time = 720/60 = 12 hours