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3 years ago

2x+3y=-27 is one equation in a coincidental system of two linear equations. the other equation is y=x-102.

1 answer:

3 0

Given:

An equation in a coincidental system of two linear equations:

2x + 3y = -27

The other equation is

_y = _x - 102

Rearrange the second equation to be identical to the first

_y - _x = -102

Determine the factor, -102/-27 = 3.78

for x, 2 * 3.78 = 7.56
for y, 3 * 3.78 = 11.33

The second equation, 11.33y - 7.56x = -102

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Hatshy [7]

ANSWER

$f(1) = - 34$

$f(n) = f(n - 1) + 13$

EXPLANATION

The given sequence is;

-34,-21,-8,5,....

The first term of the sequence is

$f(1) = - 34$

The common difference is

$d = 5 - - 8$

$d = 5 + 8 = 13$

The recursive definition is given by;

$f(n) = f(n - 1) + d$

$f(n) = f(n - 1) + 13$

for n=2,3,4,...

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3 years ago

What is the image of the point (3, -2) under a dialtion with a scale factor of 4 with respect to the origin?

Bogdan [553]

Answer:

(12,-8)

Step-by-step explanation:

scale factor is 4

(x,y)=(4x,4y)

(3,-2)=(12,-8)

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2 years ago

The sum of the measures of the interior angles of a triangle is 180Â°. The sum of the measures of the interior angles of a quadr

omeli [17]

Answer: 1080 degrees

Step-by-step explanation:

Since the general formular is

(n - 2 )180 = interior angle.

Where n is the number of sides the polygon has.

Octagon has 8 sides so therefore n= 8.

(8-2 ) * 180

= 6 * 180

=1080.

The total number of the interior angles measured is 1080 degrees.

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3 years ago

There are three small rounds of cheddar cheese in Grace’s refrigerator.She want to bring a small wedge of cheese in her lunch fo

Snowcat [4.5K]

Answer: 1/4 round.

Step-by-step explanation:

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3 years ago

you plant 15 tulip bulbs and 10 of them grow into flowers to bloom. If you plant 21 more re tulips bulbs, predict how many of th

harina [27]

Answer:

14 more flower would bloom if 21 more tulip bulb is planted.

Step-by-step explanation:

Given ratio for tulip bulbs and flowers is 15:10.

Now, finding number of flower to bloom if 21 tulip bulb are planted.

Assume if 21 tulip bulbs are planted then number of flower would bloom be"x"

ratio given: $\frac{Tulip\ bulbs}{ Flower} = \frac{15}{10} = \frac{21}{x}$