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3 years ago

Line go passes through points (2,5) and (6,9) which equation represents line gh

1 answer:

5 0

Make an equation in point-slope form, which is y - y = m(x - x)

First find the slope. The formula for slope is (y - y) over (x - x). In this case, the slope is (9 - 5) over (6 - 2) which simplifies to 1. The slope will be m in the point-slope equation.

Now fill in the formula:
9 - 5 = 1 (6-2)

This is the answer.

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The radius of the moon is approximately 1,350,000 m. What is the radius in kilometers? (1 km=1000m)

serg [7]

Answer:

I believe it is 1,350 but i am not completely sure

Step-by-step explanation:

7 0

3 years ago

2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.

Fudgin [204]

Answer:

$\sf t_{20}= 0$

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

$\sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }$

6th term is 14 ⇒ $\sf t_6 = 14$

a + (6 - 1)d = 14

a + 5d = 14 --------------(I)

14th term is 6 ⇒ $\sf t_{14} = 6$

a + (14-1)d = 6

a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

(I) a + 5d = 14

(II) a + 13d = 6

-8d = 8

d = 8 ÷(-8)

$\sf \boxed{\bf d= (-1)}$

Plugin d = -1 in equation (I)

a + 5(-1) = 14

a -5 = 14

a = 14 + 5

$\sf \boxed{\bf a = 19}$

20th term:

$\sf t_{20}= 19 + 19*(-1)$

= 19 - 19

$\sf \boxed{\bf t_{20} = 0}$

8 0

2 years ago

Read 2 more answers

For the rectangle shown, which equation can be used to find the value of x?

trasher [3.6K]

Answer:

Pythagorean theorem $a^{2} +b^{2} =c^{2}$

Step-by-step explanation:

$a^{2} +b^{2} =c^{2} \\x^{2} +3.6^{2} =7.4^{2} \\x^{2} +12.96=54.76\\x^{2} =\sqrt{41.8} \\x=6.47\\$

6 0

3 years ago

The following table represents the sample space of rolling two number cubes.

alex41 [277]

We just need to count the number of outcomes that have exactly one even number. The total number of outcomes is 36. We see that from the first row, the number of outcomes that qualify are 3: 1-2, 1-4, 1-6 (out of the 6 total outcomes). For the 2nd row, again there are 3: 2-1, 2-3, 2-5. It is obvious by now that for any row, whether the number is even or odd, there are 3 outcomes on that row that correspond to rolling exactly one even number. Hence, there are in total 6*3=18 favorable outcomes.

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3 years ago

Read 2 more answers

At a museum 100 posters are displayed in each of four rooms altogether how many posters are displayed

aleksandr82 [10.1K]

25 posters in each room.

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3 years ago