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3 years ago

PLEASE HELP!

Mathematics

1 answer:

Inessa05 [86]3 years ago

5 0

What is this 3rd grade

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What is the axis of symmetry for y= x^2 + 4x + 3

ehidna [41]

Answer:

x = -2

Step-by-step explanation:

The coefficients of this quadratic are 1, 4 and 3.

-b -4

The axis of symmetry is x = --------- = ---------- = -2 => x = -2

2(a) 2(1)

4 0

4 years ago

Write an equation in standard form for the line that passes through the point (2,-3) and is perpendicular to the line y + 4 = -2

sineoko [7]

For this case we have that by definition, the standard form of a linear equation is given by:

$ax + by = c$

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

$m_ {1} * m_ {2} = - 1$

We have the following point-slope equation of a line:

$y+4 = -\frac {2} {3}(x-12)$

The slope is:

$m_ {1} = - \frac {2} {3}$

We find the slope $m_ {2}$ of a perpendicular line:

$m_ {2} = \frac {-1}{m_ {1}}\\m_ {2} = \frac {-1} {-\frac {2} {3}}\\m_ {2} = \frac{3} {2}$

Thus, the equation is of the form:

$y-y_ {0} = \frac {3} {2} (x-x_ {0})$

We have the point through which the line passes:

$(x_ {0}, y_ {0}) :( 2, -3)$

Thus, the equation is:

$y - (- 3) = \frac {3} {2} (x-2)\\y + 3 = \frac {3} {2} (x-2)$

We manipulate algebraically:

$y + 3 = \frac{3} {2} x- \frac {3} {2} (2)\\y + 3 = \frac{3} {2} x-3$

We add 3 to both sides of the equation:

$y + 3 + 3 = \frac {3} {2} x\\y + 6 = \frac {3} {2} x$

We multiply by 2 on both sides of the equation:

$2(y + 6) = 3x\\2y + 12 = 3x$

We subtract 3x on both sides:

$2y-3x + 12 = 0$

We subtract 12 from both sides:

$2y-3x = -12$

ANswer:

$-3x + 2y = -12$

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3 years ago

Which expressions are equivalent to 56x+ 24 divided by 8? Drag each expression into the table to show whether it is equivalent o

LuckyWell [14K]

Answer:

Answer 2 is correct

Step-by-step explanation:

5 0

3 years ago

A company weighs 1,096 boxes of cereal and finds that 12.5% of them weighed less than one pound. Which of

Mice21 [21]

Answer:

137 boxes

Step-by-step explanation:

1096 boxes * 0.125(12.5% of boxes weighing less than a pound) = 137 boxes

8 0

3 years ago

On average, it rains 6 out of 25 days in Houston. On how many days can residents expect rain in 1 year?

zysi [14]

Answer:

87.6 out of 365 so 87 days

Step-by-step explanation:

you divide 365 by 25 and multiply that by 6

5 0

3 years ago