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3 years ago

Find the area of each composite figure. Show ALL formulas required to solve and label the answer.

Mathematics

2 answers:

mafiozo [28]3 years ago

6 0

The one on the left is 6 (1/2x3x4) and the one on the right is 72 (6x12)

Semenov [28]3 years ago

5 0

Answer:

6 (1/2x3x4) and the one on the right is 72 (6x12)

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2. y = -2x² + 8x Axis of Symmetry: Vertex: Domain: Range:

worty [1.4K]

Answer:

Part 1) The axis of symmetry is x=2

Part 2) The vertex is the point (2,8)

Part 3) The domain is all real numbers

Part 4) The range is all real numbers less than or equal to 8

Step-by-step explanation:

we have

$y=-2x^{2}+8x$

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

step 1

Find the vertex

Convert the quadratic equation in vertex form

Factor -2 leading coefficient

$y=-2(x^{2}-4x)$

Complete the square

$y=-2(x^{2}-4x+4)+8$

rewrite as perfect squares

$y=-2(x-2)^{2}+8$

The vertex is the point (2,8)

step 2

Find the axis of Symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

the vertex is the point (2,8)

therefore

The axis of symmetry is x=2

step 3

Find the domain

The domain of the quadratic equation is the interval ------> (-∞,∞)

The domain is all real numbers

step 4

Find the range

The range of the quadratic equation is the interval ------> (-∞,8]

$y\leq 8$

The range is all real numbers less than or equal to 8

5 0

3 years ago

Complete the following statement. 14 + 51 =

bazaltina [42]

Answer:

Step-by-step explanation:

14 + 51 = 65

8 0

3 years ago

Read 2 more answers

What is the least common multiple of 15 and 6? Take notes and show your work.

Mariulka [41]

Hello!

The least common multiple is 3

Hope this helps!

4 0

3 years ago

R= {(-3, -2), (-3, 0), (-1, 2), (1, 2)}

swat32

Domains -3,-1,1
hope this helps

8 0

3 years ago

Isabella decides to sell handmade stationery. She decides to sell 2 cards for $9. Which table below show the possible values of

AnnyKZ [126]

Answer:

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount. (see attached)

6 0

3 years ago