You're given the slope of the line and a point thru which the line passes. So it makes sense to use the point-slope form of the equation of a straight line: if the point is (a,b) and the slope is m, then
y-b=m(x-a). You'd then solve this for y to obtain the equation in slope-intercept form.
On the other hand, if you're asked to write the equation in slope-intercept form, starting with the general form of this equation may be faster: y=mx+b.
Substitute the given values for x and y (which are 25 and -9) and m (which is (2/5). Solve the resulting equation for b (the y-intercept).
Then write the finished equation: y=( ? )x + b, where b is the y-intercept you've just found.
F<span>or every 1,000 feet you go up in elevation</span>, <span>the temperature decreases by about 3.3°F</span>
Given:
Temperature at the bottom of the mountain is 74°F
The top of the mountain is 5500 feet above you
Change (reduction) in temperature is 3.3 X 5500 / 1000
= 18.15°F
Temperature at the top of the mountain is 74°F – 18.15°F
= 55.85°F
Answer:
16
Step-by-step explanation:
if c = 4, then
(c)(c) = 16
if I misinterpreted your equation, please tell me.
9514 1404 393
Answer:
- sides: 12 feet
- front: 28 feet
Step-by-step explanation:
Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...
P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle
80 = 2(x + (2x+4)) . . . . . with values from the problem filled in
40 = 3x +4 . . . . . . . . divide by 2, collect terms
36 = 3x . . . . . . . . . subtract 4
12 = x . . . . . . . . . divide by 3. This is the length of the side fence.
2x +4 = 2(12) +4 = 28
The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)
Answer:
= 5 ( 12d + 23f )
Step-by-step explanation:
-2(5d-9f)+7f-10(-9f-7d
Open parenthesis
= -10d + 18f + 7f + 90f + 70d
Collect like terms
= -10d + 70d + 18f + 7f + 90f
= 60d + 115f
Factorise
= 5 ( 12d + 23f )
Therefore,
-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )
