This question states that Lake Lopez began at a depth of 515 inches, then increased by 82 inches, then decreased by 119 inches. To model this, we will use addition for the increase and subtraction for the decrease; this will signify a positive/negative change in the depth. This can be modeled by the expression below:
515 + 82 - 119
597 - 119
478
Therefore, the water depth at the end of the summer was 478 inches.
Hope this helps!
Answer:
x² - 10x + 21
Step-by-step explanation:
the 3rd one
(x-3)(x-7)=0
Answer:
2x+4
Step-by-step explanation:
The equation of the line in point-slope form is expressed as;
y - y0 = m(x-x0)
Using the coordinates (0,4) and (-2, 0)
Slope = 0-4/-2-0
slope = -4/-2
slope = 2
Substitute m = 2 and the point (0,4) into the formula;
y - 4 = 2(x-0)
y - 4 = 2x
since y = 4 + 2x
y = 2(x+2)
Hence the required equation is 2x+4
Answer:
Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;
Therefore, the shortest distance from the point to the plane is
Answer:
$11.34 Discounted Price Including Tax
Step-by-step explanation:
CD is $12.00
10 percent off of 12 dollars is:
12 x .10 = $1.2
12 - 1.2 = $10.8 WITHOUT TAX!!
5/100 = 0.05
0.05 x 10.8 = .54 (Tax itself)
10.8 (Discounted price) + .54 (Tax) = $11.34 Discounted Price Including Tax
