Answer:
Step-by-step explanation:
The y-intercept is where the line itersects the y-axis, which is the dark vertical line. This is -8 represented as the constant in the equation.
To find the slope, find the rise over run. Every time the line goes over 1 it goes down 6, so the slope would be -6.
<span>current ratio: 4 apple trees for every 3 pear trees.
wants: 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees
so 2 avocado trees for every 5 pear trees
=1 avocado trees for every 2.5 pear trees
therefore if we have 18 avocado trees
18 x 2.5 = 45 pear trees
4 apple trees for every 3 pear trees
4/3
= 1.333 apple trees for every 1 pear tree
therefore if we have 45 avocado trees
45 x 1.333 = 60 apple trees
therefore ratio of avocado to apple trees = 18 : 60
18 : 60
= 9 : 30
= 3 : 10</span>
<span>First we have to determine the slope of each lines by transforming to the slope-intercept form:
y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5
The formula to be used in the proceeding steps is a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting, a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5) =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope
y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9</span>
Answer:
y(-4) = 5
y'(-4) = -7
Step-by-step explanation:
Hi!
Since the tangent line T and the curve y must coincide at x=-4
y(-4) = T(-4) = 5
On the other hand, the derivative of the curve evaluated at -4 y'(x=-4) must be the slope of the tangent line. Which inspecting the tangent line T(x) is -7
That is:
y'(-4) = -7
Answer:
Newton's third law of motion states that every action has an equal and opposite reaction. In softball when the catcher catches the ball the two forces present are the mitt on the ball and the ball on the mitt. The two are equal and in opposite directions.
