How to cross multiple 3/5 by 10

Graph the function <br> f( x ) = 3√ x - 2+3

mezya [45]

Step-by-step explanation:

Direction: Opens Up

Vertex:

(

3

,

−

3

)

(3,-3)

Focus:

(

3

,

−

11

4

)

(3,-114)

Axis of Symmetry:

x

=

3

x=3

Directrix:

y

=

−

13

4

y=-134

Select a few

x

x values, and plug them into the equation to find the corresponding

y

y values. The

x

x values should be selected around the vertex.

Tap for more steps...

x

y

1

2

−

2

3

−

3

4

−

2

5

1

xy112-23-34-251

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:

(

3

,

−

3

)

(3,-3)

Focus:

(

3

,

−

11

4

)

(3,-114)

Axis of Symmetry:

x

=

3

x=3

Directrix:

y

=

−

13

4

y=-134

x

y

1

2

−

2

3

−

3

4

−

2

5

1

7 0

3 years ago

If AD is the altitude to BC, what is the slope of AD?

anygoal [31]

Answer:

Option (C)

Step-by-step explanation:

If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.

By the property of perpendicular lines,

$m_1\times m_2=-1$

where $m_1$ is the slope of the line AD and $m_2$ is the slope of BC.

$m_2=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{8+2}{3-7}$

$=-\frac{5}{2}$

Now from the given property,

$m_1\times (-\frac{2}{5})=-1$

$m_1=\frac{5}{2}$

Therefore, slope of altitude BC = $\frac{5}{2}$

Option (C) will be the answer.

3 0

3 years ago

What is the rule for the given sequence? 3, 8, 23, 68, 203,

EleoNora [17]

Answer: Add the number previously added multiplied by 3;

+3x, where x is the number that was added previously

Step-by-step explanation:

3+5=8. That's the first equation, where 5 is x. Then the next equation, 8+3x=23. 8+15=23. It works for all of the equations, so that's the pattern.

4 0

2 years ago

Read 2 more answers

I need help simplifying both of these. thank you!

4vir4ik [10]

<h3>Answer:</h3>

-100x +100; 3
5x +81; 162

<h3>Step-by-step explanation:</h3>

The distributive property is your friend. It tells you ...

a(b + c) = ab + ac

It can also be used to simplify the product of binomials (or other polynomials).

(a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2

(a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering

1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)

= -100x +100 . . . . . . simplified form

For the purposes of calculation, it can be easier to factor out 100:

= 100 (1 -x)

Then for x = 0.97

= 100(1 -0.97) = 100(0.03) = 3

___

2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81

For x = 16.2, this is ...

5(16.2) +81 = 81 +81 = 162

_____

The purpose of the attachment is to show the evaluation is correct.

5 0

3 years ago

The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

Fed [463]

Answer: y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

Shift 4 units to the right
Shift 1 unit down

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

3 0

2 years ago