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3 years ago

Write the explicit equation. -8, -2, 4, 10

Mathematics

1 answer:

Ivanshal [37]3 years ago

7 0

Answer:

a*n = -8 + (n - 1)6

Step-by-step explanation:

Explicit formula:

a*n = a*1 + (n - 1)d

a*1 = first term

n = nth term or the place

d = difference

Set: -8, -2, 4, 10

-8 ---> -2 = 6 added

Fill it in.

a*1 = -8

n = n

d = 6

Solution:

a^n = -8 + (n -1)6

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Given: -7x<-21 choose the solution set

Ahat [919]

Answer:

x > 3

Step-by-step explanation:

The only thing you need to do is just divide both sides by -7

-7x/-7<-21/-7

x>3

I hope this helped!! Good luck (:

6 0

1 year ago

Kellie ran 3 laps around the high school track if the total distancekellie ran was 7 1/3 miles how long is each lap around the t

agasfer [191]

Answer:

22 miles.

Step-by-step explanation:

7 1/3 ×3=22

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2 years ago

The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest t

NikAS [45]

Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

diagonal^2 = 4^2 + 11^2

d^2 = 16+121

d^2 = 137

d = √(137)

3 0

2 years ago

Sqrt(2x-6)=3-x<br> Solve for x

soldi70 [24.7K]

Answer:

x = 3

Step-by-step explanation:

$\sqrt{2x - 6} = 3 - x$

Square both sides of the equation

$2x - 6 = (3 - x)^{2} = 9 - 6x + x^{2} \\$

$x^{2} - 8x + 15 = 0\\$

(x - 3)(x - 5) = 0

x = 3 or 5

Now, you must always check your results because a result may not satisfy the original equation.

If x = 3, then $\sqrt{2x - 6} = \sqrt{2(3) - 6} = \sqrt{6 - 6} = \sqrt{0} = 0$ and 3 - x = 3 - 3 = 0

So 3 satisfies the original.

If x = 5, then $\sqrt{2(5) - 6} = \sqrt{10 - 6} = \sqrt{4} = 2$ , but 3 - x = 3 - 5 = -2. Therefore, 5 does NOT satisfy the original equation.

That means that x = 3 is the solution to the equation.

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2 years ago

How many meters are equal to 6 kilometers? Use the pattern in the number of zeros of the product when multiplying by a power of

SSSSS [86.1K]

Answer:

6km = 6000m

standard form - 6 x 10^3

6 0

2 years ago