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3 years ago

Is this relation a function? (4.3) (2,-1) (1, 3) (0,5)

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

4 0

Answer:

YES

Step-by-step explanation:

There is only one input for one output

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.

Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

AD+DB=3

x+DB = 3

DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

$BC^{2} = DB^{2} +CD^{2}$

$BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}$

$BC^{2} =(3-x)^{2} +2$

Since given AD=BC,let us plugin BC=x in above step.

$x^{2} =(3-x)^{2} +2$

$x^{2} =9-6x+x^{2} +2$

6x=11

x= $\frac{11}{6}$

Now we know AD=x= $\frac{11}{6}$ and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

$AC^{2} =AD^{2} +DC^{2}$

$AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}$

$AC^{2} =\frac{193}{36}$

$AC=\sqrt{\frac{193}{36} }$ = 2.315cm

3 0

3 years ago

patty is building a rope ladder for a tree house. she need two 5-foot pieces of rope the sides of the ladder.she needs 7 pieces

klio [65]

The answer is 136 because 7 x 18 is 126 then + 10 is 136

5 0

3 years ago

Daniella put $582 in the bank. Her brother put 3 times as much money in the bank. Her sister put 1/3 as much money in the bank.

mariarad [96]

Answer:

$2522; if her sister put in 1/3 of Daniella's original money.

But if you don't combine Daniella's original money it would be $2328

Step-by-step explanation:

582 x 3= 1746.

and 1/3 of 582= 194

582+1746+194=2522

4 0

2 years ago

7 divided by somethings equal 7.35

Dmitriy789 [7]

Let's translate it into an equation and then solve...

7/x = 7.35
x * 7/x = 7.35 * x
7 = 7.35x
7/7.35 = x
.9524 = x

So 7 divided by .9524 (rounded to the nearest ten thousandth) equals 7.35

6 0

3 years ago

An expression is shown below.

Natalka [10]

Answer:

see step-by-step

Step-by-step explanation:

It's not clear from your notation, so I will provide 2 answers.

3√(47x) = 24√(47)

3√(47)√x = 24√(47)

Divide both sides by √(47): 3√x = 24

Divide both sides by 3: √x = 8

Square both sides: x = 64

3√(47)x = 24√(47)

Divide both sides by √(47): 3x = 24

Divide both sides by 3: x = 8

6 0

2 years ago