All categories

3 years ago

Please help and show work

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

The answer to the question is 14

x^4 + 14x^2 + 49

(x^2 + 7)^2

perfect square

You might be interested in

Can someone solve -5x +2y=10

marta [7]

Answer:

$x=\frac{2}{5}y-2$

Step-by-step explanation:

$-5x+2y=10\\-5x+2y-2y=10-2y\\-5x=2y-10\\\frac{-5x}{-5}=\frac{2y-10}{5}\\ x=\frac{2}{5}y-2$

6 0

3 years ago

Read 2 more answers

3(x-1)=2x+9. Solve equation

Anna11 [10]

Hello.

In order to solve this equation, we need to isolate the variable (in this case, the variable is x)

The first step is to use the Distributive Property and distribute 3:

$\mathrm{3(x-1)=2x+9}$

$\mathrm{3x-3=2x+9}$

Now, add 3 to both sides:

$\mathrm{3x-3+3=2x+9+3}$

$\mathrm{3x=2x+9+3}$

$\mathrm{3x=2x+12}$

Now, subtract 2x from both sides:

$\mathrm{3x-2x=2x-2x+12}\\\mathrm{3x-2x=12}$

$\mathrm{x=12}$

Therefore, the answer is

$\mathrm{x=12}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$

5 0

2 years ago

Read 2 more answers

The weight of 100 identical samples of a substance is 0.1 pound. What is the weight of 10 samples?

KIM [24]

10samples(0.1pound/100samples)=0.01 lbs (one-hundredth of a pound)

5 0

3 years ago

The cables on either side of a pedestrian

galina1969 [7]

Answer:

6 ft

Step-by-step explanation:

Since the shape of the cables on the bridge are to open up, the standard equation of the parabola produced is given as:

(x - h)² = 4p(y - k)

Where (h, k) is the vertex and focus is at (h, k+p)

From the question, the point (0, 2) is the vertex and point (50, 27) lie on the parabola. Hence:

(x - 0)² = 4p(y - 2)

x² = 4p(y - 2).

Sinc the tower is 100 ft apart and 27 ft height, hence the point 100/2 = 50 ft and 27 ft lie on the parabola

To find p, use (50, 27)

50² = 4p(27 - 2)

2500 = 4p(25)

100p = 2500

p = 25

hence:

x² = 4(25)(y - 2)

x² = 100(y - 2)

At a point of 20 feet (i.e x = 20), y is the height of the cable, hence:

20²=100(y-2)

400 = 100y - 200

100y = 600

y = 6

The height is 6 ft at a point of 20 ft

7 0

2 years ago

Can someone please help me? And explain? Please, I'm so confused...

kodGreya [7K]

- - Lets solve:

Lets start off with c<span>ombing like terms:

</span> $=-2.591+-2n+-1.5n
$
$=(-2n+-1.5n)+(-2.591)
$
<span>
- - Solve for that to get your answer, and you get for your answer:
B) </span> -2.5+ 3.5n

5 0

3 years ago

Read 2 more answers