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2 years ago

Determine if the following equation is a function: y=5

Mathematics

1 answer:

RUDIKE [14]2 years ago

4 0

The relation maps a unique output value to each input value. It is a function.

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a circle with radius of 9cm sits inside a circle with radius of 11cm. what is the area of the shaded region?

tatyana61 [14]

Answer:

125.6 cm²

Step-by-step explanation:

Area inside the bigger circle but outside the smaller circle:

3.14 × (11² - 9²)

3.14 × 40

125.6 cm²

3 0

2 years ago

If x=(10-3i) and y=(3-10i), then xy=? and x/y=?

Solnce55 [7]

Answer:

$xy=-109i$

$\frac{x}{y}=\frac{60}{109}+\frac{91}{109}i$

Step-by-step explanation:

$xy=(10-3i)(3-10i)$

To compute x times y must use foil on the right hand side.

First: $10(3)=30$

Outer: $10(-10i)=-100i$

Inner: $-3i(3)=-9i$

Last: $-3i(-10i)=30i^2=-30$

------------------------------------Add like terms:

$-109i$

----------------

$\frac{x}{y}$

$\frac{10-3i}{3-10i}$

Multiply top and bottom by bottom's conjugate:

$\frac{(10-3i)(3+10i)}{(3-10i)(3+10i)}$

Foil the top and just do first and last of Foil for the bottom since the bottom contains multiplying conjugates:

$\frac{30+100i-9i-30i^2}{9-100i^2}$

Replace $i^2$ with -1:

$\frac{30+91i+30}{9+100}$

$\frac{60+91i}{109}$

$\frac{60}{109}+\frac{91}{109}i$

7 0

3 years ago

Determine whether line AB and line CD are parallel, perpendicular, or neither. A( 4, 2), B(-3, 1), C(6, 0), D(-10, 8)

Lapatulllka [165]

Answer:

<h2>neither</h2>

Step-by-step explanation:

If AB an CD are parallel, then their slopes are the same.

If AB and CD are perpendicular, then the product of their slopes is equal -1.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Calculate the both slope:

$A(4,\ 2),\ B(-3,\ 1)\\\\m_{AB}=\dfrac{1-2}{-3-4}=\dfrac{-1}{-7}=\dfrac{1}{7}\\\\C(6,\ 0),\ D(-10,\ 8)\\\\m_{CD}=\dfrac{8-0}{-10-6}=\dfrac{8}{-16}=-\dfrac{1}{2}\\\\=============================$

$m_{AB}\neq m_{CD}$

The line AB and line CD are not parallel

$m_{AB}\cdot m_{CD}=\left(\dfrac{1}{7}\right)\left(-\dfrac{1}{2}\right)=-\dfrac{1}{14}\neq-1$

The line AB and line CD are not perpendicular.

6 0

2 years ago

Help pleaseeeee!!!!! i stg if no one answers correctly im gonna have another mental breakdown

Afina-wow [57]

Answer:

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

Step-by-step explanation:

To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.

given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴

First, lets arrange like terms together. Put the terms with the same exponent together.

2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now combine the terms with the same exponent by subtracting 5x³ from 2x³.

-3x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now let's arrange the terms from increasing to decreasing powers/exponents.

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

This is your equation in standard form.

Hope this helps!

3 0

2 years ago

I have no idea what to do

tekilochka [14]

Answer: Y=-5x+30

Step-by-step explanation:

First, you have to find the slope of graph so you find the rise over run Y/X. Since the X values are being measured by 1’s, and the Y values are being measure by 5’s, your slope would be -5 (not 5 as the graph line is decreasing therefore it is negative). To find b, you find the Y intercept of the graph (where Y is when X=0) and in this case, the y intercept is 30. So the equation that describes what is occurring in the graph is Y=-5x+30 as a linear equation is written as Y=mx+b. You can check If the equation is correct by substituting the x and y values of a specific coordinate point on the graph. For example: 25= -5(1)+30. This gives you 25=25 so the equation is correct.

8 0

3 years ago