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3 years ago

the first term of a geometric sequence is 1, and the common ratio is 10. what are the 2nd and 3rd terms of the sequence?

Mathematics

1 answer:

Sophie [7]3 years ago

7 0

Answer:

10, 100

Step-by-step explanation:

Each term is multiplied by the common ratio to get the next term.

... 1 × 10 = 10 . . . . . second term

... 10 × 10 = 100 . . . third term

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What does the dotted line in the diagram imply about the number of triangles you can construct from the given information

nekit [7.7K]

Answer:

Step-by-step explanation:A triangle is aptly named: it is composed of three (tri) angles formed by three non-coincident, non-parallel lines. That the lines are non-coincident means they do not overlap, and that they are non-parallel means that each line intersects with every other line. Correspondingly, a triangle also has three sides.

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3 years ago

Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )

irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\$

Substituting the given values in a above equation we get

$(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}$

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0

3 years ago

zaharov [31]

The first blank is proportional because two quantities is one in which the two quantities vary directly with one and other. If one item is doubled, the other, related item is also doubled. Because of this, it is also called a direct variation.

6 0

2 years ago

Solve for t. 16 - 2t = t + 9 + 4t please help.

Delvig [45]

Answer:t=1

Step-by-step explanation:

16-2t=t+9+4t

Collect like terms

4t+2t+t=16-9

Combine like terms

7t=7

Divide both sides by 7

7t ➗ 7=7 ➗ 7

t=1

6 0

3 years ago

Jeanette uses more yarn to knit a poncho than she uses to knit a scarf. Write an inequality to represent the amount of yarn Jean

kow [346]

Answer:

$p > s$

Step-by-step explanation:

Given

$p \to poncho$

$s \to scarf$

Required

The inequality

From the question, we understand that;

the number of p used is more than the number of s

more than means greater than.

So, the inequality is:

$p > s$

To represent this on a number line.

First, we identify the position of s (i.e. scarf)

$p > s$ implies that p is any point to the right of s

7 0

2 years ago