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3 years ago

What is the domain of {(1,3) (4,3) (6,2)}?

Mathematics

1 answer:

OlgaM077 [116]3 years ago

5 0

Domain is 1 to 6 and length of 5
Because it comes from the x values

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ <em>cross multiply</em>

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

3 0

3 years ago

Two skaters are racing toward the finish line of a race. The first skater has a 40 m lead and is traveling at a rate of 12 m/s.

ivanzaharov [21]

The second skater wont pass him, he is ahead and they are going the same speed

3 0

3 years ago

Suppose that the candy machine holds exactly 650 skittles, and every time someone inserts a quarter, exactly 7 skittles come out

Lady bird [3.3K]

Answer:

510 skittles left in the machine

Step-by-step explanation:

7 skittles x 20 quaters = 140 skittles taken out

650 - 140 = 510

7 0

2 years ago

Can someone help me

Llana [10]

3x + 4x +5x = 54 (because the perimeter = sum of its dies)

12x = 54

x = 4.5

So the 3 sides are 3*4.5 , 4*4.5 and 5*4.5

= 13.5, 18 and 22.5 units (answer)

7 0

3 years ago

The smith family is designing new plans for an in ground pool. mr smith draws a rectangular shape with a length that is 5 feet l

dolphi86 [110]

Answer
Are of the pool = w² + 5w (in square feet)

Explanation

Since the pool is rectangular in shape,
Area of the pool can be calculated using the formula for the area of a rectangle

Area of rectangle = length x width

Given,
Width of pool (Assume is same as height) = w
Length of pool= w + 5

Area = w * (w + 5)
= w² + 5w (in square feet)
where w is the width of the pool

3 0

3 years ago