4 years ago

Two lines have slopes of 1/2 and 2. Are the lines perpendicular? Explain.

Mathematics

2 answers:

Kazeer [188]4 years ago

8 0

Answer:

Step-by-step explanation:

Perpendicular slopes, when multiplied together, equal negative 1

1/2 *2 = 1 not negative 1

These lines are not perpendicular

Natali [406]4 years ago

7 0

Answer:

The lines are not perpendicular

Step-by-step explanation:

m1=1/2

m2=2

m1*m2=1/2*2=1

Lines are perpendicular when m1 * m2 = -1 because m1 * m2 = 1 these lines are not perpendicular

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The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

Maru [420]

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

$a_n=a_1+(n-1)d$

For the 15th, term it will be

$a_{15}=-3+(15-1)d\\53=-3+14d$

Adding 3 on both sides

$53+3 = -3+3 + 14d\\56 = 14d$

Dividing both sides by 14

$\frac{56}{14}=\frac{14d}{14}\\d=4$

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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Alex787 [66]

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Step-by-step explanation:

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