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Ksivusya [100]
3 years ago
12

Which line has a slope of 5/8 and goes through the point (8, 2)

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0
The slope m and a point (x_{0},\;y_{0}) that the line goes through, give us a equation for the line:

y-y_{0}=m\cdot (x-x_{0})\\\\ y-2=\dfrac{5}{8}\cdot (x-8)\\\\\\ y-2=\dfrac{5}{8}\,x-\dfrac{5}{8}\cdot 8\\\\\\ y-2=\dfrac{5}{8}\,x-5\\\\\\ y=\dfrac{5}{8}\,x-5+2\\\\\\ \boxed{\begin{array}{c} y=\dfrac{5}{8}\,x-3 \end{array}}

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Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. -2, 6, -18, 54,
aleksandrvk [35]

Answer:

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,

r = 6/- 2 = - 18/6 = - 3

Therefore, the sequence is geometric.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = - 2

r = - 3

The explicit formula is

Tn = - 2 × (- 3)^(n - 1)

To find the 8th term, T8,

T8 = - 2 × (- 3)^(8 - 1)

T8 = - 2 × (- 3)^7

T8 = - 2 × - 2187

T8 = 4374

3 0
3 years ago
Chris is packing toy boxes that are cubes with 4 inch-sides into a crate. The crate is 3 feet wide by 3 feet long by 2 feet tall
OleMash [197]
A lot of toy boxes my dude
8 0
3 years ago
Jeremy didn't pay his previous month's credit card bill in full. This month's bill shows a finance charge of $85.50. Jeremy calc
Nostrana [21]

Answer:

The monthly percentage rate would be 1.6%

Step-by-step explanation:

Given,

Finance charge = $ 85.50,

Amount of bill in this month  = $ 5,343.75,

Hence, the monthly rate of percentage

=\frac{\text{Finance charge}}{\text{Amount of bill}}\times 100

=\frac{85.5}{5343.75}\times 100

=\frac{8550}{5343.75}

=\frac{855000}{534375}

= 1.6 %

i.e. OPTION A would be correct.

6 0
3 years ago
suppose the annual rate of inflation average 3.8% over the next 10 years. the present cost of oil change for tour car is $23.95.
Mariana [72]
If the annual rate in 10 years has the same quadralaterical value the answer would be 47.9 but we can make sure our answer is correct
what we know:

The cost changed in 10 years to 23.95

if the cost changed another 10 years it would be another 23.95, 23.95+23.95=47.9 Which is our answer pls mark brainliest 





4 0
3 years ago
(14+42-6)/10+7^2 order of operation
Rainbow [258]

Answer:

54

Step-by-step explanation:

\dfrac{(14+42-6)}{10}+7^2

Parentheses (14 + 42 - 6) = 50:

⇒ 50/10 + 7²

Exponents 7² = 49:

⇒ 50/10 + 49

Multiplication/division  50/10 = 5:

⇒ 5 + 49

Addition/subtraction:  5 + 49 = 54

⇒ 54

6 0
2 years ago
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