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3 years ago

Evaluate x/4+3y^2 for x =8 and y = 3.

Mathematics

1 answer:

Aloiza [94]3 years ago

5 0

Step-by-step explanation:

x/4+3y^2

=8÷4 + 3×3^2

=2+9^2

=2+81

=83

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What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

$-(x - 12)= 3(y + 6)$

$-x + 12=3y + 18$

Collect like terms

$12 - 18 = 3y +x$

$-6 = 3y + x$

$3y + x = -6$

4 0

2 years ago

Need help number 2 for a quiz !!!

Svetach [21]

Answer: radius: 6, center: (3,-4)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What are the solutions for x when y is equal to 0 in the following quadratic

lawyer [7]

Answer:

D) x = -12 or x = 2

Step-by-step explanation:

The given quadratic equation is:

$y=x^2+10x-24$

When y=0, we obtain:

$x^2+10x-24=0$

We split the middle term with -2, 12 because their product is is -24 and their sum is 10.

$x^2-2x+12x-24=0$

We factor by grouping to obtain:

$x(x-2)+12(x-2)=0$

$(x-2)(x+12)=0$

Either $(x-2)=0$ or $(x+12)=0$

Either $x=2$ or $x=-12$

7 0

3 years ago

Your friend asked you to bring a couple of bags of chips to his party. there are several brands of chips,each a different size a

Lera25 [3.4K]

Your friend asked you to bring a couple of bags of chips to his party. there are several brands of chips, each a different size and price. Write a formula that will help you find the price per gram for each bag.

x= price of bag of chips

y= number of grams

z=price per gram

$z= \frac{x}{y}$

Hope this helps!

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3 years ago

Solving equations with rational numbers

shusha [124]

What is your question this makes no sense

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3 years ago