Answer:
The18th term of the given sequence is -128
Explanation:
To find the 18th term of the sequence:
42, 32, 22, 12, ..., we need to find the nth term of the sequence first.
The nth term of a sequence is given be the formula:
Where a is the first term, and d is the common difference.
Here, a = 42, d = 32 - 42 = -10
To find the 18th terem, substitute n = 18 into the nth term
Answer:
<em><u>option d is the right answer</u></em>
Answer:
yes.
Step-by-step explanation:
to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².
to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.
we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.
calculation:
a² + b² = c²
a = 8 millimetres
b = 15 millilitres
c = ?
8² + 15² = c²
64 + 225 = c²
64 + 225 = 289.
289 = c²
√289 = c
√289 = 17.
the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.
Answer/Step-by-step explanation:
Slope (m) = rise/run
y-intercept (b) = starting value or the point on the y-axis where the line cuts across
✔️Slope (m) of skater 1:
Rise = 45
Run = 7.5
Slope (m) = 45/7.5 = 6
✔️ y-intercept (b) of Skater 1:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 1 linear function in slope-intercept form, y = mx + b
Substitute m = 6 and b = 0 into y = mx + b
Linear function: y = 6x + 0
y = 6x
✔️Slope (m) of skater 2:
Rise = 30
Run = 15
Slope (m) = 30/15 = 2
✔️ y-intercept (b) of Skater 2:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 2 linear function in slope-intercept form, y = mx + b
Substitute m = 2 and b = 0 into y = mx + b
Linear function: y = 2x + 0
y = 2x
