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3 years ago

Determine which relation is a function.

Mathematics

1 answer:

lutik1710 [3]3 years ago

3 0

Answer:

Step-by-step explanation:

One easy way to determine if a coordinate is a function or not is to look at the number in the x's place only. There should not be the same number on the x's side for a different pair.

Every pair has a different number on the x's side, which is why A is the only possible answer.

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kaley spent $45 more on boots than she did on a pair of jeans.she spent 79.50 on the boots.how much did she spent on the jeans?

andre [41]

79.50-45 = 35.50 so she spent 35 dollars and 50 cents on jeans

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3 years ago

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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

X+4Y=-8<br> find the x intercept:<br> find the y intercept: <br> graph the line.

galben [10]

Answer:

x-intercept = (-8, 0)

y-intercept = (0, -2)

Step-by-step explanation:

Given linear equation is: x + 4y = - 8

For x - intercept: Plug y = 0 in the above equation.

$\implies x +4(0) = -8\\\\\implies x +0 =-8\\\\ \implies x = -8\\\\ \boxed{\red{\bold{\implies x- intercept = (-8,\:0)}}}$

For y - intercept: Plug x = 0 in the given linear equation.

$\implies 0 +4y = -8\\\\\implies 4y=-8\\\\ \implies y = \frac{-8}{4}\\\\ \implies y = -2\\\\ \boxed{\purple{\bold{\implies y- intercept = (0,\:-2)}}}$

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2 years ago

The diameter of a circle is 6inches . What is the circumference

Sergeu [11.5K]

18.84956 hope that helps

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3 years ago

One spinner has three equally sized sectors numbered 1, 2, and 3. A second spinner has two equally sized sectors labeled Top (T)

SSSSS [86.1K]

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360-180=180
I hope this helped. And sorry if it is not the correct answer. But that is how I would of answered it

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3 years ago

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