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2 years ago

Please help. I am so confused.

Mathematics

1 answer:

Allushta [10]2 years ago

7 0

The fourth proportional is found by applying the formula

The product of extremes = The product of means.

The fourth proportional is equal to bc/a and st/r

Let the fourth proportional be x then this can be written as

a:b::c:x

Applying the formula of product of extremes

ax= bc

x= bc/a

The fourth proportional can be obtained by multiplying the variables bc and dividing by a

Similarly

Let the fourth proportional be y then this can be written as

r:s::t:y

Applying the formula of product of extremes

ry= st

y= st/r

The fourth proportional can be obtained by multiplying the variables st and dividing by r

#SPJ1

Find out more about ratio and proportions

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The product of (-3xy?)(5x²y3) is

egoroff_w [7]

Answer:

-3xy

Step-by-step explanation:

7 0

2 years ago

What are the solutions to the equation x^2-8x=24

Oduvanchick [21]

$x^{2} - 8x = 24$

Transposing the equation to give zero on the RHS:
$x^{2} - 8x - 24 = 0$

Since we can't factorise it directly, we must complete the square to yield any solutions:
$x^{2} - 8x + ( \frac{8}{2})^2 - (\frac{8}{2})^2 - 24 = 0$
$(x^{2} - 8x + 16) - 16 - 24 = 0$
$(x-4)^2 - 40 = 0$
$(x-4)^2 = 40$
$x-4 = +/- \sqrt{40}$ ––> because square rooting yields a positive and negative solution.
x = 4 +/- $\sqrt{40}$
x = 4 +/- $2 \sqrt{10}$

Correct me if I'm wrong anyone.

4 0

3 years ago

Plsss answer this!!!

egoroff_w [7]

Answer:

(-2,-2)

Step-by-step explanation:

The domain is -2 -2 because that's all the x values that are possible on this graph

5 0

3 years ago

Enny White is shopping for CDs. She decides to purchase 3 movie soundtracks. The music store has 7 different movie soundtracks i

Gala2k [10]

Answer:

35 different selections of soundtracks are possible

Step-by-step explanation:

Total number of soundtracks available at the store = 7

Enny decides to purchase 3 movie soundtracks.

So, in this problem we have to find in how many ways can Enny chose 3 soundtracks out of 7. The order in which the soundtracks are chosen does not matter e.g soundtracks A,B and C are the same as soundtracks B,C and A.

In an arrangement when the order does not matter, we use combinations to find the total possible number of arrangements or selections.

So, for this problem choosing 3 soundtracks out of 7 means forming combinations from 7 objects taken 3 at a time. This can be represented mathematically as:

$^{7}C_{3}$

The general formula for combinations is:

$^{n}C_{r}=\frac{n!}{r!\times(n-r)!}$

Using the values, we get:

$^{7}C_{3}=\frac{7!}{3!\times(7-3)!} =35$

This means, Enny can make 35 different selections of soundtracks.

7 0

3 years ago

Solve each system of equations by substitution:<br> X + Y = 75<br> 10x + Y = 48

Nimfa-mama [501]

Answer:

X= -3;

Y=78

Step-by-step explanation:

A: X+Y=75

B: 10X+Y=48

B-A: (10X+Y)-(X+Y)=48-75

10X+Y-X-Y= - 27

9X=-27

X= -3;

Now

A is : -3+Y=75

Y=75+3=78

6 0

3 years ago