Based on an architectural drawing, a roof slopes to a drain along the function represented in the table that defines the edge of slope, where x is the horizontal distance in feet and f(x) is the vertical distance in feet. Graph X / 0 / 20 / 40 / 80 / 160 F(x)/ 8 / 6 / 4 / 0 / 8 If the drain is at the minimum point, how far is it from the wall defined by the y-axis? 0 feet 8 feet 80 feet 160 feet
Answers
Answer:
80ft
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
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Slope-intercept form (4,-2) and (-8,13)
A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's area?
Answers
The graph is looks like an 'S' shape rotated to the left.
xint is where y=0
shape is 3rd degree and positive leading coefient
it goes from bottom left to top right
yint is -96
xint
factor
f(x)=(x-8)(x-4)(x-3)
xints are at (8,0) and (4,0) and (3,0)
Answers
Oliver's linear equation is y=2h+5 because 2 is the rate of chabge and 5 is the b value or the y intercept in a linear equation y=mx+b. To find when both have the same number of bracelets, we find the point of intersection...
2h+5=3h
5=3h-2h
5=h
Therefore in 5 hours, both will have the same amount of bracelets.
Hope this helps;)
Answer:
5 hours and 15 bracelets
Step-by-step explanation:
Rachel makes 3 bracelets per hour so you can set that up as the equation y=3x. Oliver can make 2 bracelets per hour but already has 5 so the equation for that is y=2x+5. These equations form a system of equations because the values for x and y are the same in both equations. This is true because the goal is to find out when Rachel and Oliver swell the same amount of bracelets. In order to solve this, you must set both of the equations equal to each other, this can be done because both equations are equal to y. The equation you now have is 3x = 2x+5. This can be solved as you would solve any linear equation; by isolating the x value then dividing it. In this case, when you do this you subtract 2x from both sides then get x=5 there is not a number multiplied by x so dividing, in this case, is not necessary. Now plug the value of x back into one of the original equations, y=15 should be the answer. Now you know that after 5 hours both Rachel and Oliver will have made 15 bracelets.
4x + 3y = 2
Both x and y have to be the same numbers!
Answers
(3x + 5y = 7)×(-3)
(4x + 3y = 2)×(5)
-9x - 15y = -21
20x+15y =10 (-15y and and+15y cancels out)
11x = -11
x= -1
substitute the x we found into either original expressions
3(-1) + 5y = 7
-3 + 5y = 7
+3 -3+ 5y = 7+ 3
5y = 10
y=2
Check it!
4(-1)+3(2) = 2
-4 + 6 = 2
2 = 2
3(-1) + 5(2) = 7
-3 + 10 = 7
7 = 7
x= -1
y= 2
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Answer: the correct answer is 5h-3k
Answers
The true statement about an exterior angle of a triangle is C; It forms a linear pair with one of the interiior angles of the triangle .
What is the Exterior Angle of a Triangle Property?
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
We know that the exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.
The pair also rests on the same straight line and that makes a pairs.
Therefore we can say that it is formed by a linear pair with one of the interior angles of the triangle.
So, the correct answer would be C.
Learn more about exterior angles;
#SPJ2
Answer:
D
Step-by-step explanation:
The exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.
The pair also rests on the same flat/straight line and that makes a pair.
Therefore we can say that it is formed by a linear pair/group with one of the interior/inside angles of the triangle.
So, the correct answer would be D.
Answers
we need to find m - gradient and c - intercept of the graph
since we have been given 2 points we know the x and y coordinates of these 2 points
point A , x = 0 and y = -4
point B , x = 6 and y = 2
substituting these x and y values in y = mx + c form
-4 = m*0 + c
-4 = c
then intercept is -4
substituting x and y in point B
2 = m * 6 + c
since c = -4
2 = 6m - 4
6m = 6
m = 1
since we know m=1 and c = -4
the equation for line AB is
y = 1*x - 4
y = x - 4
Answer: the answer is y + 4 = x