The correct answer is (D).
It’s either a or c I’m not real sure
Answer:
9, 16, 23, 30
Step-by-step explanation:
The arithmetic means are the terms of an arithmetic sequence, that is
2, a₂, a₃, a₄, a₅, 37
The nth term of the sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and a₆ = 37 , that is
a₁ + 5d = 37
2 + 5d = 37 ( subtract 2 from both sides )
5d = 35 ( divide both sides by 5 )
d = 7
Then
a₂ = a₁ + 7 = 2 + 7 = 9
a₃ = a₂ + 7 = 9 + 7 = 16
a₄ = a₃ + 7 = 16 + 7 = 23
a₅ = a₄ + 7 = 23 + 7 = 30
The 4 arithmetic means between 2 and 37 are 9, 16, 23, 30
Answer:
3y = 8x - 91
y = 8/3 * x - 30 1/3
Step-by-step explanation:
First we can find the slope of the second line.
Let's rewrite the equation as 8y=44-3x.
After dividing both sides of the equation by 8 we'll get an equivalent equation y = 5.5 - 3/8 * x. The coefficient of x is the slope -> the slope is -3/8. In order for the line to be perpendicular to this line the product of the slopes of two lines should be equal to -1 or in other words the slopes have to be opposite reciprocals of each other. The reciprocal of -3/8 is -8/3. Opposite to it is 8/3. Now we know the slop and the coordinates of a point on the line (given). Let's make the equation of the line in the form of y = mx+ b. We can plug in values for m, y and x. m = 8/3(slope), y=-9 (second coordinate of the point), x = 8 (first coordinate). We got
-9 = 8/3 * 8 +b
Now we need to solve the equation to find b
b =-91/3 or -30 1/3
17. about 10 pounds
Sorry don't know 18