Answer:
x=73
Step-by-step explanation:
180-119=61
61+46=107
180-107=73
Answer:
![[x + 2][x + 5][x - 1]](https://tex.z-dn.net/?f=%5Bx%20%2B%202%5D%5Bx%20%2B%205%5D%5Bx%20-%201%5D)
Step-by-step explanation:
The Leading Coefficient is 1 and the initial value is 10; they have a common factor of 1, so that automatically gives us our first factor of
. Now, since the divisor\factor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
1| 1 6 3 −10
↓ 1 7 10
__________
1 7 10 0 → ![{x}^{2} + 7x + 10 >> [x + 2][x + 5]](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B2%7D%20%2B%207x%20%2B%2010%20%3E%3E%20%5Bx%20%2B%202%5D%5Bx%20%2B%205%5D)
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x³ + 6x² + 3x - 10]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², the 7x follows right behind it, then 10, giving you the other factor of
, which can be factored further to
, attaching this to the first factor you started out your work on:
![[x + 2][x + 5][x - 1]](https://tex.z-dn.net/?f=%5Bx%20%2B%202%5D%5Bx%20%2B%205%5D%5Bx%20-%201%5D)
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Answer:
(See step-by-step)
Step-by-step explanation:
Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.
The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.
The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).
Answer:
measure of angle 3= 109
angle 2=71
angle 1=109
Step-by-step explanation:
a straight line =180
Answer:
Option (2) is the answer.
Step-by-step explanation:
From the figure attached,
AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.
Here AB = d = 6 feet
CD = w = 32 feet
BC = f = 9 feet
Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.


h = 
h = 21.33 feet
h ≈ 21.3 feet
Therefore, height of the light post is 21.3 feet.
Option (2) is the answer.