The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5
A linear equation is given by:
y = mx + b;
where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.
Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.
She starts at 182.5 meters above sea level, hence; b = 182.5 meters
She descends 36.5 meters each hour, hence m = -36.5 meter per hour
Therefore the equation becomes:
y = -36.5x + 182.5
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Hello :
<span>the nth term of a geometric sequence is :
Un = Up ×r^(n-p) . r is the common ratio
for : p=5 and n= 2
U5 = U2 ×r^3
16 = -2 r^3
r^3 = -8
but : -8 = (-2)^3
so : r = -2
Un = U2 × r^(n-2)
Un = -2 ×(-2)^(n-2)= (-2)^(n-2+1)
</span><span>the nth term of a geometric sequenceis : Un = (-2)^(n-1)</span>
Answer:
7.701
Step-by-step explanation:
Answer:
1 and - 1
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope ( gradient ) )
y = x ← is in this form
with gradient m = 1
Parallel lines have equal gradients
Then the gradients of lines parallel to the given line is 1
Given a line with gradient m then the gradient of a line perpendicular to it is
= -
= -
= - 1
Then the gradients of lines perpendicular to this line is - 1