Hope this helps! The slope of the line passing through
(
2
,
7
)
and
(
0
,
−
5
)
is
m
=
y
2
−
y
1
x
2
−
x
1
=
−
5
−
7
0
−
2
=
−
12
−
2
=
6
.
.........................
The meaning of circumference is to find the distance around a circle or in other words perimeter by using the formula C=2πr or C=<span>πd.
On this case it is asked you to find the circumference of a circle with a diameter of 3 meters, so you will use the formula C=2</span><span>πr.
C=2</span><span>πr
C=2(3.14)(3)
C=18.84 meters
The circumference of the given circle is 18.84 meters.</span>
The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,
r = t⁵/t⁸ = t²/t⁵
The answer, r = t⁻³.
The next three terms are,
n₄ = (t²)(t⁻³) = t⁻¹
n₅ = (t⁻¹)(t⁻³) = t⁻⁴
n₆ = (t⁻⁴)(t⁻³) = t⁻⁷
The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively.
Answer:
y = 14x -30
Step-by-step explanation:
The slope intercept form is:
y = mx + b,
Slope intercept form is useful for finding the slope and y intercept of a line, hence why it is called "slope intercept" because it is easy to see the slope and the y intercept of a line in this form. Since the slope denoted by m, and y intercept denoted by b are clearly given.
y + 2 = 7(2x - 4)
Distribute 7 across the parentheses by multiplying x and 2x and 4 by 7.
y+2 = 14x - 28
subtract 2 from both sides. This cancels the 2 on the left and moves it to the right, while keeping the equation balanced.
y+2 -2 = 14x - 28 -2
y = 14x - 30
y = 14x -30
As you can see our y = 14x -30 now looks like the point slope equation we had above. m = 14, and b = -30. This means the line goes up 14 for every single unit you move to the right, and intersects the y axis at (0, -30).
Please mark me brainliest.
