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3 years ago

Look at triangle ABC. What is the length of side AB of the triangle? Image down below :)

Mathematics

2 answers:

adoni [48]3 years ago

7 0

The answer is the third option.

12345 [234]3 years ago

3 0

Answer:

$\sqrt{18}$

Step-by-step explanation:

you need to use Pythagoras theorem

$a^{2}$ + $b^{2}$ = $c^{2}$

c is the hypotenuse. the longest side (ab)

a and b are the other two side lengths squared (bc,ca)

the length of both a and b are 3 squares long

$3^{2}$ is 9

you add the square of both sides together to get 18 this is $c^{2}$

you need to square root that to get the answer

$\sqrt{18}$

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Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

3 years ago

Can anyone answer both of these?

astraxan [27]

Answer:

rate- 6

distance fallen- 18

Step-by-step explanation:

4 0

3 years ago

In one jar, I have two balls labelled 1 and 2 respectively. In a second jar, I have three balls labelled 0, 1 and 2 respectively

PolarNik [594]

Step-by-step explanation:

this is a kind of trick question, actually.

with whatever we draw, we produce X values as power of 3.

to be precise, we can have only

3⁰ = 1

3¹ = 3

3² = 9

3⁴ = 81

due to the possible combinations of drawn numbers (e.g. 3 cannot be created by a multiplication of 0s, 1s and 2s).

so, mostly, these results cannot be exact factors of 1024.

1024 cannot be divided by 3, nor by 9 nor by 81.

but 1024 is a multiple of 1 (as is every number).

so, we are looking at the probability to get 0 as multiplication result of the numbers on the 2 drawn balls.

the only possibilities are

1 and 0

2 and 0

out of in total 6 (2×3) different outcomes

1 and 0

1 and 1

1 and 2

2 and 0

2 and 1

2 and 2

the probability of this "0" event is again

number of desired outcomes / number of possible outcomes = 2/6 = 1/3

6 0

2 years ago

The first soccer team scored 8 goals in 4 games. The second soccer team scored 27 goals in 9 games. Which soccer team scored mor

Hatshy [7]

Answer:

The Second Soccer Team

Step-by-step explanation:

First Team: 8/4=2

Second Team: 27/9=3

The first team scored 2 goals per game while the second team scored 3 goals per game.

5 0

3 years ago

Read 2 more answers

Billy-Bob has a piggy-bank filled with nickels and quarters totaling $11.90.

Lunna [17]

Answer:

x = 33

y = 41

Step-by-step explanation:

GIven

x: number of nickels

y: number of quarters

A nickel = $0.05

A quarter = $0.25

then we have the system of equations

0.05*x + 0.25*y = 11.90

x + y = 74

Which can be solved applying any of known methods. Then, the solution is

x = 33

y = 41

hope this was helpful.

4 0

3 years ago