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2 years ago

If line AB has a slope of -1/2 and is perpendicular to Line CD, then the slope of line CD is

Mathematics

2 answers:

Leni [432]2 years ago

7 0

Take the opposite recporical of the slope give...so the so that would be. 2.

lara31 [8.8K]2 years ago

3 0

when two lines are perpendicular, switch the numerator and denominator of the given slope, add a negative sign in the front, you will have the slope of the other line.
if the slope is an integer, for example 3, it is the same as 3/1, the slope of the perpendicular line is then negative 1/3, (-1/3)
in this case, the slope of CD is -(-2/1)=2

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for independence day celebration 25000 flags were distributed to 70 schools .if 40 shcool receive 250 each and the remainder dis

aleksandr82 [10.1K]

Answer:

500 flags each

Step-by-step explanation:

If 40 schools receive 250 each, then in total, that's 10,000

25,000 - 10,000 = 15,000. There are 30 schools remaining, so we divide. 15,000 / 30 = 500, so...

40 schools get 250 flags each, and the other 30 schools get 500 flags each.

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3 years ago

What's the formula to find the surface area of a triangular prism?

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3 years ago

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It is computed that when a basketball player shoots a free throw the odds in favor of his making our 23 to 3 find the probabilit

denis-greek [22]

Answer:

Step-by-step explanation:

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2 years ago

Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms

Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: $a_n=a_1r^{n-1}$

We have a₁=26 and r = 0.5 n=10

$a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051$

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: $S_n=\frac{a(1-r^n)}{1-r}$

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

$S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48$

So, sum of first 18 terms of given sequence is 51.48

6 0

2 years ago

What is the slope of (5,8) (18,18)

Anettt [7]

Answer:

10/13

Step-by-step explanation:

Y1-Y2 / X1-X2

18-8 / 18-5

18-8 = 10

18-5 = 13

6 0

3 years ago