Answer:
area (A) =(9x+108)unit^2
perimeter (P) =(2x+42) units
Step-by-step explanation:
area(A) =length(l) × breadth(b)
perimeter(P) =2(l+ b) {which is sum of all sides}
so, l = 7+x+5 = (x+12) units and b = 9 units
now, A=(x+12) × 9 units^2
=(9×x + 12×9 ) units^2
Therefore,
A =(9x+108)unit^2
next, P=2{(x+12)+9}
=2(x+21)
Hence,
P=(2x+42) units
We have the following remark
-81/-54= -54/-36 = -36/ -24=...= 1.5
the sequence is geometric sequence
the common ratio of the sequence is 1.5
the sum of the five terms of the sequence is
S5= a[1- (1.5)^5 / 1-1.5], a first term,
S5= -42*6.5= - 276
Answer:
2.Addition Property
3.Multiplication Property
Step-by-step explanation:
Answer: y=-3/4x
Step-by-step explanation:
The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!
Answer:
60 g
Step-by-step explanation:
Use the density formula, D = m/v, where m is the mass and v is volume
Plug in the volume and density, then solve for the mass:
D = m/v
3 = m/20
60 = m
So, the mass is 60 g
