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xenn [34]
3 years ago
14

A roof drops 6 feet for every 3 feet forword,determine the slope of the roof the slope can be positive or negative

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

The slope is -2

Step-by-step explanation:

Since the roof is decreasing in height as it goes forward, I know that the slope must be negative. The equation to find the slope is rise/run. The vertical change, or the rise, is -6 feet, so that value goes on top of the fraction. The horizontal value, or the run, is 3 feet so that goes on the bottom of the fraction.

Now our fraction is \frac{-6}{3}

If you simplify that fraction, you'll get -2.

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rashanda claims that she plays roughly 30 hours of golf per week she played 3 hours on monday 9 hours total on tuesday through t
mixas84 [53]

Answer:

Not accurate

Step-by-step explanation:

3+9+9=21

4 0
2 years ago
How do you evaluate 3yx+2x when x=4 and y=-2<br> A. -28<br> B. -16<br> C. 8<br> D. 56
Vikki [24]

Answer:

B: -16

Step-by-step explanation:

Plug the variables in accordingly. 3(-2)(4)+2(4)

-6(4)+8

-24+8

-16

8 0
3 years ago
Some of the students three scores is 231. If the first is 20 points more than the second, and the sum of the first two is 6 more
Aleks [24]

Answer:

The first score is 109

Step-by-step explanation:

I am assuming that in the first sentence of the question, you meant:

Sum of the students three scores is 231...

First, let the scores of the first second and third student be a, b and c respectively. We are told that:

a + b + c = 231 . . . . . . . .(1)         (sum of students three scores is 231)

a = b + 20 . . . . . . . . . . . (2)        (the first is 20 points more than the second)

a + b = 6c . . . . . . . . . . . .(3)        (sum of the first two is 6 more times the third)

required, find a.

substituting the value of (a + b) in equation (3) into equation (1), we will have the following:

since a + b = 6c . . . (3)

a + b + c = 231 . . . . . (1), becomes,

(a + b) + c = 231

(6c)  + c = 231

7c = 231 (divide both sides by 7)

c = 231 ÷ 7 = 33

∴ c = 33

Next, from equation (2), we know that a = b + 20; this can also be written as:

a - 20 = b

∴ b = a - 20 . . . . . . . (4)

Finally, putting the value of b in equation (4) and the value of c calculated above into equation 1, ( a + b + c = 231), we have the following:

a + (a - 20) + 33 = 231

(a + a) - 20 + 33 = 231

2a + 13 = 231

2a = 231 - 13 = 218

a = 218 ÷ 2 = 109

∴ a = 109

we can also calculate for 'b' by substituting for the value of 'a' in equation 4

b = a - 20 = 109 - 20 = 89.

and to test if the values of a, b and c are correct:

a + b + c = 231

109 + 89 + 33 = 231

4 0
3 years ago
When factored completely, the expression 3x2 - 9x + 6 is equivalent to
Lunna [17]
Let's see what the options look like when we multiply the expressions in brackets:

(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))

3x2 +6x -3x +6// this is not correct

(2) (3x + 3)(x - 2) </span>


3x2-6x+3x-6//this is not correct

(3)

3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!






8 0
3 years ago
Read 2 more answers
Find the equation of the line that is parallel to the given line and passes through the given point. y = −x + 4; (0, 4)
Karolina [17]
Y=-X+4

Dhdgdhhddvdvdvd
8 0
3 years ago
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