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8090 [49]
3 years ago
12

How do we get to the vertex if this is the function: n(x)= |-1/3x + 1| =2 ??

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

Answer:

ANSWER IS BELOW

Step-by-step explanation:

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:

(

0

,

0

)

(0,0)

Focus:

(

0

,

3

4

)

(0,34)

Axis of Symmetry:

x

=

0

x=0

Directrix:

y

=

−

3

4

y=-34

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

−

2

4

3

−

1

1

3

0

0

1

1

3

3

3

xy-243-1130011333

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:

(

0

,

0

)

(0,0)

Focus:

(

0

,

3

4

)

(0,34)

Axis of Symmetry:

x

=

0

x=0

Directrix:

y

=

−

3

4

y=-34

x

y

−

2

4

3

−

1

1

3

0

0

1

1

3

3

3

xy-243-1130011333

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(x+6)(−x+1)=0 greatest x and least x = 0
Bumek [7]

Answer:

x=-6

×=1

Step-by-step explanation:

remove parentheses

connect like terms

change the signs

calculate the discriminant

simplify

6 0
2 years ago
Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

<em>M=(-1,-1)  ----- Missing part of question</em>

Required

Determine the coordinates of D

<em>Let the coordinates of D be (x₂,y₂)</em>

<em>We'll solve this question using mid point formula;</em>

<em></em>M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})<em></em>

<em>Where</em>

C(x_1,y_1) = (2,7)    and     M(x,y) = (-1,-1)

Put these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

By comparison;

-1 = \frac{2+x_2}{2}  and -1 = \frac{7+y_2}{2}

-1 = \frac{2+x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

-2 -2 = x_2

x_2 = -4

-1 = \frac{7+y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

-2 - 7 = y_2

y_2 = -9

<em>Hence, the coordinates of D is (-4,-9)</em>

4 0
3 years ago
the area of a rectangular garden is 156 square meters. The width is 7 meters longer than one half of it's length, find length an
Lapatulllka [165]
Width is 13 and the length is 12
3 0
3 years ago
Which option is the correct option, quick please!
netineya [11]

Answer:

<h2>168°</h2>

Option A is the correct option

Step-by-step explanation:

Since, we know that angle at center is double that of the circumference.

JL = 2 × 84°

calculate the product

= 168°

Hope this helps..

Best regards!!

4 0
3 years ago
Read 2 more answers
Using the measurements of the shapes.. determine the area and perimeter of the irregular polygon.
Phoenix [80]

Answer:

43.8 is the Area but i don't know about the perimeter

Step-by-step explanation:

4 0
2 years ago
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