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2 years ago

20 pointsss :)

Mathematics

1 answer:

cluponka [151]2 years ago

6 0

Answer:

180-93=87..... Exterior angles of a triangle

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What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

$x = 3 \: or \: x = - 3$

When
$x = 3$

$y = 3(3) + 2 = 11$

When x=-3,

$y = 3( - 3) + 2 = - 7$

Therefore the solution for the system is (3, 11) and (−3, −7).

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3 years ago

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When finding 433 - 249 using place value. What do you subtract first?

Ksenya-84 [330]

You subtract the ones place, then the tens, and lastly the hundreds place. Your answer will be 184 if you are looking for the answer as well.

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3 years ago

Tan?cos? Sin? What is the m

AlexFokin [52]

Answer:

45º

Step-by-step explanation:

Since we know the relatiionship of a 45-45-90 degree triangle, we can go two ways. Either we can use this to find CA and get the tangent of (6/6) or we can go straight to it. The hypotenuse in a 45-45-90 is always 6√2 and we know it is a right triangle so we can confirm this. So, measure of angle B is 45º.

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Bella wants to know how long her dog is. She measure its body and finds that it is 54 cm long. Then she measures the tail and fi

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Answer:

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Step-by-step explanation:

body to tail = length of body + length of tail

body to tail = 54 cm + 34 cm

body to tail = 88 cm

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2 years ago

If there are 36 boys and 54 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

aleksandr82 [10.1K]

Answer:

2:3

Step-by-step explanation:

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2 years ago

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