Answer:
-94 ...nagative 94
Step-by-step explanation:
Answer:
The equation is;
y = -1/4x + 607.5
Step-by-step explanation:
Let us have the number of drops as y axis while the number of minutes is x axis
The points to use are;
(30,600) and (130,575)
The slope can be calculated using;
m = (y2-y1)/(x2-x1)
= (575-600)/(130-30) = -25/100 = -1/4
So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)
y = -1/4x + c
To get c, we simply substitute one point
Let us use (30,600)
We have
600 = -1/4(30) + c
600 + 7.5 = c
c = 607.5
So the equation is ;
y = -1/4x + 607.5
Answer:
First one and last one
Step-by-step explanation:
Point slope is y-y1=m(x-x1) where m is slope and x1 and y1 are the given x and y values.
y-(-1)=-3(x-7)
y+1=-3(x-7)
Final answer: B
Answer:
<h2>height = 12 cm</h2>
Step-by-step explanation:
Area of a triangle is given by

where
b is the base
h is the height
From the question
Area = 21 m²
The statement
The height of a triangle is 8 m more than the length of the base is written as
h = 8 + b
Make b the subject
That's
b = h - 8
Substitute the expression into the above formula and solve for the height
That's

Multiply through by 2
h² - 8h = 48
h² - 8h - 48 = 0
(h + 4)(h - 12) = 0
h + 4 = 0 h - 12 = 0
h = - 4 h = 12
Since the height cannot be a negative number we have the final answer as
<h3>height = 12 cm</h3>
Hope this helps you