We can let
a = 1/(x-1)
b = 1/(y+2)
and rewrite the equations as
2a - b = 10
a + 3b = -9
Using the first to write an expression for b, we get
b = 2a - 10
Substituting this into the second equation gives
a + 3(2a -10) = -9
7a -30 = -9 . . . . . . . . simplify
7a = 21 . . . . . . . . . . .add 30
a = 3
b = 2·3 - 10 = -4
Now, we can find x and y.
3 = 1/(x -1)
x - 1 = 1/3
x = 1 1/3 = 4/3
-4 = 1/(y +2)
y +2 = -1/4
y = -2 1/4 = -9/4
Then the desired sum is
x + y = 4/3 -9/4 = (16 -27)/12
x + y = -11/12
The appropriate choice is ..
c. -11/12
Answer:
![\boxed{\text{144.33 m}^{2}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7B144.33%20m%7D%5E%7B2%7D%7D)
Step-by-step explanation:
The scale factor (C) is the ratio of corresponding parts of the two pyramids.
The ratio of the areas is the square of the scale factor.
![\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}](https://tex.z-dn.net/?f=%5Cdfrac%7BA_%7B1%7D%7D%7B%20A_%7B2%7D%7D%20%3D%20C%5E%7B2%7D%5C%5C%5C%5C%5Cdfrac%7B%5Ctext%7B327%20m%7D%5E%7B2%7D%7D%7BA_%7B2%7D%7D%20%3D%20%5Cleft%20%28%5Cdfrac%7B1%7D%7B%5Cfrac%7B2%7D%7B3%7D%7D%5Cright%29%5E%7B2%7D%5C%5C%5C%5C%20%5Cdfrac%7B%5Ctext%7B327%20m%7D%5E%7B2%7D%7D%7BA_%7B2%7D%7D%3D%20%5Cdfrac%7B9%7D%7B4%7D%5C%5C%5C%5C%5Ctext%7B1308%20m%7D%5E%7B2%7D%3D%209A_%7B2%7D%5C%5C%5C%5CA_%7B2%7D%20%3D%20%5Ctext%7B145.33%20m%7D%5E%7B2%7D%5C%5C%5Ctext%7BThe%20surface%20area%20of%20the%20smaller%20pyramid%20is%20%5Cboxed%7B%5Ctext%7B145.33%20m%7D%5E%7B2%7D%7D%7D)
Answer:Answer:
w + 4 and 4 + w
Step-by-step explanation:
Given phrase,
w is increased by 4,
That is, w + 4
By the commutative property of addition,
The expression would be,
4 + w
For drawing a model that shows w + 4
Take two boxes in which first shows w and second shows 4 and add them,
Similarly, for showing 4 + w, take first box that shows 4 and second box that shows w then add them.
Step-by-step explanation:
It opens up
axis of symmetry is x=1
vertex is 1,0
x intercepts is -1,0,1,2,3,
y intercepts is 4, 1,0,1,4