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3 years ago

If AB = 1, BD = 4, and DE = 6, what is the length of BC ? 1.5 1.4 1.2 2

Mathematics

1 answer:

aniked [119]3 years ago

6 0

For this case, the first thing we must observe is that the triangles are similar.
We can then use the following relationship:
$BC / DE = AB / (AB + BD)
$
Clearing the value of BC we have:
$BC = (AB / (AB + BD)) * (DE)
$
Substituting the values we have:
$BC = (1 / (1 + 4)) * (6)
$
Rewriting we have:
$BC = (1/5) * (6)

BC = 6/5

BC = 1.2$
Answer:
The length of BC is given by:
BC = 1.2

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What is the value of x in the equation 3x-4y=65 when y =4

Dovator [93]

3x - 4(4) = 65

First, simplify 4 × 4 to get 16. / Your problem should look like: 3x - 16 = 65
Second, add 16 to both sides. / Your problem should look like: 3x = 65 + 16
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Fourth, divide both sides by 3. / Your problem should look like: x = $\frac{81}{3}$
Fifth, simplify $\frac{81}{3}$ to 27. / Your problem should look like: x = 27

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3 years ago

Find the value of c so that (x-5) is a factor of the polynomial p(x)

liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

$p(x) = x^3 + 2x^2 + cx + 10$

The other factor is going to be some quadratic. We can say a few things about its coefficients but let's start by saying in general it's

$q(x)= ax^2 + bx + k$

$p(x) = (x-5)q(x)$

$x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k$

Equating respective coefficients,

$a=1$

$b-5a = 2$

$k - 5b = c$

$-5k = 10$

so we get

$b = 2 + 5 = 7$

$k = 10/-5 = -2$

$c = k - 5b = 2 - 5(7)= -37$

Answer: -37

Check:

$(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark$

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3 years ago

At the end of the summer, liam discovers that his radiator antifreeze solution has dropped below the safe level. If the radiator

attashe74 [19]

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4 years ago

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steposvetlana [31]

9514 1404 393

Answer:

-203.1875

Step-by-step explanation:

The ends of the interval are ...

(-4, g(-4)) = (-4, 1023 15/16)

(1, g(1)) = (1, 8)

The average rate of change is the slope of the line between these two points:

m = (y2 -y1)/(x2 -x1)

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The average rate of change on the interval is -203 3/16.

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3 years ago

A car dealership pays a wholesome price of $12,000 to purchase a vehicle. The car dealership wants to make a 32% profit. The car

cestrela7 [59]

Answer:

$102.96

Step-by-step explanation:

Lets take this one part at a time.

the dealership pays 12000 for the car, so they start at -12000 for how much money they have.

The dealership wants to make a 32% profit. This means they want to make back the 12000 plus 32% of that. what is 32% of 12000? just multiply 12000 bty .32 In the end it works out that the price they sell it for is 15840

I do want to mention that there is a chance the 32% might also be accounting the bonus. So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined. I do not think that is what it is asking for, but I wanted to mention it.

Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that. to find that just do the multiplication .065 * 15840 = 1029.60. So this is the bonus normally.

Now the question says the salesperson offers a 10 percent discount. This changes the sales price (by 10%) and the bonus they earn. let's calculate both.

First 10% discount of the sales price is .9*15840 = 14,256

Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.

The question wants the difference of the two bonuses, and difference is subtraction. so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96

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3 years ago