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swat32
3 years ago
14

Complete the solution of the equation. Find the value of y when x equals -10. 2x-9y=-38

Mathematics
1 answer:
Rasek [7]3 years ago
8 0
That is a direct substitution. make y in an isolated term:
 
2x + 38 = 9y
(2x + 38)/9 = y
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Write the first six terms of the geometric sequence with the first term 6 and common ratio 1/3
Alja [10]

Answer:

6, 2, 2/3, 2/9, 2/27, 2/81

Step-by-step explanation:

The nth term of a geometric progression is expressed as;

Tn  = ar^n-1

a is the first term

n is the number of terms

r is the common ratio

Given

a = 6

r = 1/3

when n = 1

T1 = 6(1/3)^1-1

T1 = 6(1/3)^0

T1 = 6

when n = 2

T2= 6(1/3)^2-1

T2= 6(1/3)^1

T2 = 2

when n = 3

T3 = 6(1/3)^3-1

T3= 6(1/3)^2

T3= 6 * 1/9

T3 = 2/3

when n = 4

T4 = 6(1/3)^4-1

T4= 6(1/3)^3

T4= 6 * 1/27

T4 = 2/9

when n = 5

T5 = 6(1/3)^5-1

T5= 6(1/3)^4

T5= 6 * 1/81

T5 = 2/27

when n = 6

T6 = 6(1/3)^6-1

T6= 6(1/3)^5

T6= 6 * 1/243

T6 = 2/81

Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81

6 0
2 years ago
Find the distance between the points (0,-9) and(4,-6)
Len [333]

Answer:

d=5

Step-by-step explanation:

1. use the distance formula: d=\sqrt{(x_{2} - x_{2} )^{2} +(y_{2} -y_{1} )^{2}

2. plug in the points: d=\sqrt{(0-4)^{2} +(-9+6)^{2}

3. solve problem inside parentheses: d=\sqrt{(-4)^{2} +(-3)^{2}

4. square -4 and -3: d=\sqrt{16+9

5. add:d=\sqrt{25

6. find square root: d=5

8 0
3 years ago
Round each number  to the nearest tenth what is the best estimate for the answer to 38.94+65.43
mel-nik [20]
38.94 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down

38.94

The number is 4, so we round down. 38.94 becomes 38.9

65.45 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down.

65.43

The number is 3, so we round down. 65.43 becomes 65.4

38.9+65.4= 104.3

If you were to estimate 38.94+65.43, we round the number to numbers that we can easily calculate in our head. 38.94+65.43 becomes 40+65

40+65=105
5 0
3 years ago
Read 2 more answers
Jim read 24 pages in 40 minutes on Tuesday and 18 pages in 24 minutes on Wednesday. Are the ratios of pages read to minutes on T
IRISSAK [1]

Answer: Not proportional


Step-by-step explanation:

Ratio of pages read by Jim on Tuesday to minutes =\frac{24}{40}=\frac{3}{5}=3:5

Ratio of pages read by Jim on Wednesday to minutes =\frac{18}{24}=\frac{3}{4}=3:4

But \frac{3}{5}\neq \frac{3}{4}

Therefore, the ratios of pages read to minutes on Tuesday and Wednesday are not proportional.


8 0
3 years ago
Read 2 more answers
Hello guys i need help plssssssssss
likoan [24]

Answer:

a

Step-by-step explanation:

brainlyest

5 0
2 years ago
Read 2 more answers
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