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3 years ago

The point (-1, 8) is on a line that has a slope of -3. Is the point (4, -7) on the same line?

1 answer:

3 0

First you can use the formula and find your line so the formula is : y = mx + b and m is the slope and b is the y-intercept so now you should find b :
8 = -3 (-1) +b ⇒ 8 = 3 + b ⇒ 5 =b so now you have : y = -3x + 5 and if you want to know that the (4 , -7) is in this line or not you can say :
-7 = -3(4) + 5 ⇒ -7 = -12 + 5 ⇒-7 = -7 so the point is on the same line :)))
i hope this is helpful
have a nice day

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Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7

motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where a is the initial term and r is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let n = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

In conclusion, the 8th term of the sequence is 896/2187.

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2 years ago

Find "G". Round to two decimal places. G= R+ab/at R=257 a=4.88 b=37.4 t=61.5

givi [52]

Answer:

G ≈ 1.46

Step-by-step explanation:

Given

G = $\frac{R+ab}{at}$ , substitute values

G = $\frac{257 4.88(37.4)}{4.88(61.5)}$

= $\frac{257+182.512}{300.12}$

= $\frac{439.512}{300.12}$ ≈ 1.46 ( to 2 dec. places )

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