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3 years ago

14

What is the 100th term in the following arithmetic number pattern: 2,7,12

1 answer:

ivanzaharov [21]3 years ago

3 0

So the change in between terms is 5 so you would put 5x, then for the first term, which is 2, 5*1(x)(because it's first term) then the difference between 5-2(because it's the 2nd term) So you would plug 100 in for x so 5(100)-3=497. Hope this helped!

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Write the point slope equation of the line through (7,-2) with slope of 1/2.

ahrayia [7]

Answer:

y = 0.5x - 5.5

Step-by-step explanation:

slope = 0.5, so this is the x coefficient.

y intercept = -2 - (7 x 0.5) = -5.5

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3 years ago

Apply the distributive property to create an equivalent expression.

Amanda [17]

The distributive property: a(b + c) = ab + ac

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3 years ago

Read 2 more answers

Se tiene un rectángulo cuya base mide el doble que su altura y su área es 12

irina [24]

Answer:

Part 1) The perimeter is $P=6\sqrt{6}\ cm$

Part 2) The diagonal is $d=\sqrt{30}\ cm$

Step-by-step explanation:

<u><em>The question in English is</em></u>

You have a rectangle whose base is twice the height and its area is 12

square centimeters. Calculate the perimeter of the rectangle and its diagonal

step 1

Find the dimensions of rectangle

we know that

The area of rectangle is equal to

$A=bh$

$A=12\ cm^2$

so

$bh=12$ ----> equation A

The base is twice the height

so

$b=2h$ ----> equation B

substitute equation B in equation A

$(2h)h=12\\2h^2=12\\h^2=6\\h=\sqrt{6}\ cm$

Find the value of b

$b=2\sqrt{6}\ cm$

step 2

Find the perimeter of rectangle

The perimeter is given by

$P=2(b+h)$

substitute

$P=2(2\sqrt{6}+\sqrt{6})\\P=6\sqrt{6}\ cm$

step 3

Find the diagonal of rectangle

Applying the Pythagorean Theorem

$d^2=b^2+h^2$

substitute

$d^2=(2\sqrt{6})^2+(\sqrt{6})^2$

$d^2=30$

$d=\sqrt{30}\ cm$

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3 years ago

True or False, In Euclidean geometry, there is only one equilateral triangle

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True, In Euclidean geometry an equilateral triangle must be a 60-60-60 triangle.

Hope This Helps!!!

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Translate this sentence into an equation. The product of Mabel's score and 6 is 90 . Use the variable m to represent Mabel's sco

Jobisdone [24]

product is the answer to a multiplication problem mx6=90

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