Answer:
w = 15
Step-by-step explanation:
-9(w + 585) = -360w
-9w -5265 = -360w
351w = 5265
w=15
Answer:
10657.5
Step-by-step explanation:
<h2>
Long way that is unnecessarily long</h2>
We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and 251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 - 105*(√51976-203))/2 = 105*203/2 = 10657.5
<h2>Short way</h2>
ALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5
Answer:
Step-by-step explanation:
Answer:
A) 2f / hour
B) 10 f
Step-by-step explanation:
outside temperature decreases by ; 7 F in 3 1/2 hours
a ) represent temperature change as a unit rate
To do this you will need to represent the temperature change per hour
7 f / 3.5 hours
= 7 f / 3.5 = 2 therefore the temperature change as a unit rate = 2f / hour
b) Temperature change after 5 hours
Δ temperature in 5 hours = temperature change per hour * 5
= 2 F * 5 = 10 F
The Slope-Intercept form of the equation of the line is:
Where "m" is the slope of the line and "b" is the y-intercept.
The slope can be found with:
Choose two points from the table. These could be the points (1,-4) and (4,-19). You can set up that:
Substituting values, you get that the slope of this line is:
You can substitute the slope and the first point into the equation in Slope-Intercept form:
Solve for "b":
Therefore, the Equation of this line in Slope-Intercept form is:
