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Degger [83]
3 years ago
14

X^2+16x=3 what number must i add to make this a perfect square?

Mathematics
2 answers:
Arada [10]3 years ago
5 0

Answer:

x = ± √ 67 − 8

Step-by-step explanation

I think this is the answer.

svetlana [45]3 years ago
3 0

Answer:64 apex

Step-by-step explanation:

You might be interested in
Simplfy (x)^2(2xy^3)^5 plz help
Deffense [45]

Answer: 32x^7y^15

Step-by-step explanation:

(x)^2(2xy^3)^5

= x^2 * 32x^5y^15

= 32x^7y^15

5 0
2 years ago
You charge $5 plus $0.75 per dog you walk at a dog shelter. You earn $14 total working on a Saturday. How many dogs did you walk
san4es73 [151]

Answer: You walked 12 dogs

Step-by-step explanation:

If you charge 0.75 per dog then we can represent that by the expression 0.75x where x is the number of dogs. If you charge $5 for the initial amount, then the whole expression will be 0.75x +5  and that has to equal the amount that you earned working on Saturday.So the equation will be

0.75x + 5 = 14   Now solve for x by first subtracting 5 from both sides

          -5     -5

0.75x = 9      Divide both sides by 0.75

 x = 12  

8 0
3 years ago
Each floor of a hotel has r rooms. On 8 floors, there are a total of 256 rooms. Write an equation to represent this situation.
antoniya [11.8K]

Answer:

32 rooms

Step-by-step explanation:

You have to divide

8 0
2 years ago
Read 2 more answers
Drag the item from the item bank to its corresponding match.
vredina [299]
<h2>1. Answer: </h2>

This is an angle whose measure is between 0 degrees and 90 degrees matches to Acute angle

In fact this is the definition of acute angles, if an angle has a measure less than 90°, it's called an acute angle.  

<h2>2. Answer: </h2>

These are a pair of angles, adjacent or nonadjacent whose sum is 90° matches to Complementary

The definition of complementary angles is that they are angles that add up to 90°. For instance, if you have two angles 50° and 40°, the complement of 50° is 40° and the complement of 40° is 30°.

<h2>3. Answer: </h2>

These are angles, segment, triangles, etc that have exactly the same measures matches to Congruent

The concept of congruence stands for equal things. So line segments are congruent if they have the same length, angles are congruent if they have the same measure and, in general, shapes are congruent if you can turn one into the other by moving, rotating or flipping.

<h2>4. Answer: </h2>

This is an angle having a measure greater than 90° and up to 180° matches to obtuse angle

In fact this is the definition of obtuse angles, if an angle has a measure greater than 90°, but also less than 180°, it's called an obtuse angle

<h2>5. Answer: </h2>

This is an angle whose measure is exactly 90° matches to Right  

In fact this is the definition of right angles, 90° angles are also known right angles. This kind of angles are often labeled with tiny squares.  

<h2>6. Answer: </h2>

Two angles whose measures add up to 180° matches to straight angle  

Angles that add up to 180° are called supplementary angles. For instance, 60° and 120° are supplements to each other because they add up to 180°.

<h2>7. Answer: </h2>

These are angles opposites one another at the intersection of two lines matches to vertical angles

Angles on opposite sides of intersecting lines are called vertical angles. This is the name of this type of angles because they have the same vertex, or corner, at the intersection. Vertical angles are always congruent to each other meaning this they always have the same measure.

<h2>8. Answer: </h2>

These are two angles in a plane which share a common vertex and a common side but do not overlap matches to adjacent angles

This is the definition of adjacent angles. They have a common side and a common vertex but they don't overlap. So if the vertex is called B, we have formed the angles ∠ABC and ∠CBD and these two angles don't overlap.

<h2>9. Answer: </h2>

This is an angle with a measure of 180 degrees matches to straight angle  

180° angles are straight angles. As you can see from the figure in the image, straight angles are identified for being in a straight line.

<h2>10. Answer: </h2>

This is the angle formed with you extend a side of the polygon it is adjacent to the interior angle of the polygon matches to exterior angle.

They're called exterior angles because they're outside the parallel lines formed when extending a side of the polygon and they're called alternate angles because they're on different sides of the transversal and they touch different parallel lines.

5 0
3 years ago
Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare y
DiKsa [7]

The area of the surface is given exactly by the integral,

\displaystyle\pi\int_0^5\sqrt{1+(y'(x))^2}\,\mathrm dx

We have

y(x)=\dfrac15x^5\implies y'(x)=x^4

so the area is

\displaystyle\pi\int_0^5\sqrt{1+x^8}\,\mathrm dx

We split up the domain of integration into 10 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], ..., [4, 9/2], [9/2, 5]

where the left and right endpoints for the i-th subinterval are, respectively,

\ell_i=\dfrac{5-0}{10}(i-1)=\dfrac{i-1}2

r_i=\dfrac{5-0}{10}i=\dfrac i2

with midpoint

m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}4

with 1\le i\le10.

Over each subinterval, we interpolate f(x)=\sqrt{1+x^8} with the quadratic polynomial,

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m_i)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}

Then

\displaystyle\int_0^5f(x)\,\mathrm dx\approx\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx

It turns out that the latter integral reduces significantly to

\displaystyle\int_0^5f(x)\,\mathrm dx\approx\frac56\left(f(0)+4f\left(\frac{0+5}2\right)+f(5)\right)=\frac56\left(1+\sqrt{390,626}+\dfrac{\sqrt{390,881}}4\right)

which is about 651.918, so that the area is approximately 651.918\pi\approx\boxed{2048}.

Compare this to actual value of the integral, which is closer to 1967.

4 0
3 years ago
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