The equation of the line will be y = 2x - 2.
<h3>What is an equation of the line?</h3>
A linear equation with a degree of one is referred to as a line equation. Two variables, x, and y are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation.
The general form of the equation of the line is given as:-
y = mx + c
Given that the equation of the line is passing through the point ( -2,0) and the slope of the line is 2.
The equation of the line will be calculated as:-
y = mx + c
-2 = 0 + c
c = -2
y = mx + c
y = 2x - 2
Therefore, the equation of the line will be y = 2x - 2.
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Answer:
A.
Step-by-step explanation:
y=loga(x) is just the same as x=a^y
Answer: 100
---------------------------------
---------------------------------
Explanation:
First term
f(1) = 1
which is given to us
We will use the equation f(n+1) = -10*f(n) to generate successive terms after this first term.
---------------
Second term
f(n+1) = -10*f(n)
f(1+1) = -10*f(1) ... plug in n = 1
f(2) = -10*f(1)
f(2) = -10*1 ... replace f(1) with 1 (works because f(1) = 1)
f(2) = -10
Put another way, the second term is -10 times the first term
second term = -10*(first term)
second term = -10*(1)
second term = -10
---------------
Third term
f(n+1) = -10*f(n)
f(2+1) = -10*f(2) ... replace n with 2
f(3) = -10*f(2)
f(3) = -10*(-10) ... replace f(2) with -10 (works because f(2) = -10)
f(3) = 100 which is the answer we want
In other words, the third term is -10 times the second term
third term = -10*(second term)
third term = -10*(-10)
third term = 100
---------------
Summary of the three terms
f(1) = 1
f(2) = -10
f(3) = 100
Each term is found by multiplying the previous term by -10
Answer:
Correct option is
B
90
∘
,90
∘
,90
∘
Let AB and CD be two lines Intersecting at O, such that, ∠AOD=90
∘
Now, ∠AOD=∠COB=90
∘
(Vertically opposite angles)
⟹∠AOD+∠DOB=180
o
(Angles on a straight line)
⟹90+∠DOB=180
o
∠DOB=90
∘
∠DOB=∠AOC=90
∘
(Vertically opposite angles)
Thus, all angles are 90
∘
.
The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
The height (h) is represented by:
h(t) = -4.9t² + 40t + 20
The maximum height is at h'(t) = 0, hence:
h'(t) = -9,8t + 40
-9.8t + 40 = 0
t = 4.082
The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.
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