Answer:
Step-by-step explanation:
f(-9+h)= (-9+h)² = h²-18h+81
f(-9+h)-f(-9)=h²-18h+81 -81 because : f(-9) = (-9)² = 81
f(-9+h)-f(-9)=h²-18h
(f(-9+h)-f(-9))/h=(h²-18h)/h = h(h-18)/h =h-18
lim (f(-9+h)-f(-9))/h = lim(h-18= - 18
h→0 h→0
Answer:

Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:

m - slope
The formula of a slope:

We have the points (4, 6) and (6, 10). Substitute:

<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>

Q4:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

<em>use distributive property</em>
<em>add 6 to both sides</em>

In an equilateral triangle, the measure of each angle is 60 degrees. Then the value of x and y is 17/3 and 65.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In trianlge ΔMNP, PM = 3x - 4, MN = 14, ∠N = 5y - 5.
In an equilateral triangle, all the sides and all the angles are equal.
MN = NP = PM
∠M = ∠N = ∠P
Then we have
PM = MN
3x - 4 = 14
x = 17/3
We know in an equilateral triangle, the measure of each angle is 60 degrees. Then we have
∠N = 60
5y - 5 = 60
5y = 65
y = 13
More about the triangle link is given below.
brainly.com/question/25813512
#SPJ1
Answer:
SAS
Step-by-step explanation:
side GF is shared.
angles between the sides, ∠EGF ≅ ∠HFG because they are corresponding congruent angles
Answer:
Slope = 0.06
Step-by-step explanation:
From the question, we are not asked what to calculate but we can as welll look for the slope of the relationship.
Slope in this scenario will be the rate of change in price of milk with respect to time.
Slope = ∆P/∆t
The standard equation will be expressed as P = mt+c where
m is the slope
t is time
P is the price of milk.
Comparing this with the given model
P(t)=0.06t+2.52
On comparison, we can see that;
m = 0.06
Hence the slope of the expression is 0.06