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3 years ago

Are these two lines parallel , explain or show your reasoning ?

Mathematics

2 answers:

Inessa05 [86]3 years ago

6 0

Yes they are parallel lines because they do not meet. they are straight lines

Troyanec [42]3 years ago

6 0

yes, they arent intersecting and they have the same slope

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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule

Sergeeva-Olga [200]

Answer:

First term: 5

Fourth term: 5 1/2

Tenth term: 6 1/2

Step-by-step explanation:

Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:

A(n) = 5 + (n-1) (1/6)

First term:

A(1) = 5 + (1-1) (1/6)

A(1) = 5 + (0) (1/6)

A(1) = 5

Fourth term:

A(4) = 5 + (4-1) (1/6)

A(4) = 5 + (3) (1/6)

A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)

Tenth term:

A(10) = 5 + (10-1) (1/6)

A(10) = 5 + (9) (1/6)

A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)

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3 years ago

How many squares make up the surface of a cube

vazorg [7]

Answer:

Step-by-step explanation:

on top,bottom and four on every sides.

4 0

3 years ago

Read 2 more answers

Solve Highschool Pre cal

Bezzdna [24]

Option C:

$\ln 64 y^{2}$

Solution:

Given expression: 2 ln 8 + 2 ln y

Applying log rule $a \log b=\log b^{a}$ in the above expression.

⇒ $2 \ln 8+2 \ln y=\ln 8^{2}+\ln y^{2}$

Applying log rule $\log a+\log b=\log (a b)$ in the above expression.

⇒ $\ln 8^{2}+\ln y^{2}=\ln \left(8^{2} y^{2}\right)$

We know that $8^{2}=64$

⇒ $\ln \left(8^{2} y^{2}\right)=\ln 64 y^{2}$

Hence, the expression in single natural logarithm is $\ln 64 y^{2}$ .

6 0

3 years ago

Suppose you borrow 13,000 for four years at 7% toward the purchase of a car.

dangina [55]

Amount borrowed, P = 13000
Interest, i = 0.07/12 per month
number of periods (months), n = 4*12 = 48

Monthly payment,
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{13000(.07/12*(1+.07/12)^{48}}{(1+.07/12)^{48}-1}$
=311.30 (to the nearest cent)

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3 years ago

It is 4 kilometers from Ravi's house to the nearest mallbox. How far is it in meters

DIA [1.3K]

Answer:

4,000 meters

Step-by-step explanation:

The conversion from kilometers to meters is 1 kilometer equals 1,000 meters. So times the conversion by 4 to get 4,000 meters.

8 0

2 years ago