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3 years ago

What's the Answer to this problem?

Mathematics

1 answer:

MariettaO [177]3 years ago

4 0

Depth = Volume / (length x width)

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What is the solution set of this system of equations?

Maksim231197 [3]

Answer:

No real solutions.

Step-by-step explanation:

$y=x^2-3x-4$

$x=y+8$

I'm going to subtract the second expression for y and plug it into the first equation.

So solving x=y+8 for y by subtracting 8 on both sides gives us y=x-8.

I'm going to insert this for the first y like so:

$x-8=x^2-3x-4$

Now I'm going to move everything to one side.

I'm going to subtract x on both sides and add 8 on both sides.

$0=x^2-3x-x-4+8$

Simplifying:

$0=x^2-3x+4$

Now our job since the coefficient of x^2 is 1 is to find two numbers that multiply to be 4 and at the same time add up to be -3. I can't think of any such numbers.

Let's check the discriminant.

Compare $x^2-3x+4$ to $ax^2+bx+c$ .

So $a=1,b=-3,c=4$ .

The discriminant is $b^2-4ac$ .

So plugging in our numbers we get $(-3)^2-4(1)(4)$ .

Time to simplify:

$(-3)^2-4(1)(4)$

$9-16$

$-7$

So since the discriminant is negative, then the solutions will not be real.

3 0

3 years ago

Read 2 more answers

In the equation 15(x−50)=25 , x represents the number of pages of a book.

Anastaziya [24]

The answer will be:
1/Fifty less than x
2/The number of pages of a book that has 50 times less pages than this book has. Hope it help!

7 0

3 years ago

Find LCM of 15,42,125 .Show all the work

Firdavs [7]

Answer:

The least common multiple of 15, 42 and 125 is 5250.

6 0

3 years ago

In the figure below, △ A B C ∼△ D E F . BX and EY are altitudes of each triangle. Find the measure of EY to the nearest tenth.

Svetllana [295]

Answer:

EY≅ 5.33 cm (nearest to tenth)

Step-by-step explanation:

Two triangles are said to be similar to each other if they have the same shape

(not necessarily the same size) and their corresponding sides are in

proportion

Given that,

AB = 12

DE = 8

BX = 8

ΔABC ∼ ΔDEF means that

∠A ∼= ∠D, ∠B ∼=∠E and ∠C ∼= ∠F.
Further more, their corresponding sides are in proportion.

So,

12/8 = 8/EY

(by doing cross multiplication)

12EY = 8 × 8

12EY = 64

EY = 64 / 12

EY= 5.3333

EY≅ 5.33 cm (nearest to tenth)

6 0

3 years ago

Kelsey painted one-fourth of her bedroom in three-sevenths of an hour. At this rate, how long would it take her to paint the ent

jeka94

I got 7/12 and 3/28. Hope this helps.

7 0

3 years ago