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3 years ago

What does x equal if x times the power of two, plus 6 equals 31?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

6 0

Answer:

x=5

Step-by-step explanation:

x^2+6=31 Find x

Subtract 6 from both sides

x^2=25

take the square root of both sides

x=+5 or -5

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Find the measure of a 6. 102 78 46 = [?]

Rom4ik [11]

Answer:

102°

Step-by-step explanation:

They're still corresponding angles... have you read any of these explanations?...

6 0

3 years ago

If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b

strojnjashka [21]

Surface area of box=1200 cm²
Volume of box=s²h 
s = side of square base 
h = height of box 
S.A. = s² + 4sh 
S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. 
1200 = s² + 4sh 
1200 - s² = 4sh 
(1200 - s²)/(4s) = h 

v(s) = s²((1200 - s²)/(4s)) 
v(s) = s(1200 - s²)/4 . 
v(s) = 300s - (1/4)s^3

by derivating
v'(s) = 300 - (3/4)s² 
0 = 300 - (3/4)s² 
-300 = (-3/4)s² 
400 = s² 
s = -20 and 20. 
again derivating
v"(s) = -(3/2)s 
v"(-20) = -(3/2)(-20) 
v"(-20) = 30 
v"(20) = -(3/2)(20) 
v"(20) = -30 

v(s) = 300s - (1/4)s^3 
v(s) = 300(20) - (1/4)(20)^3 
v(s) = 6000 - (1/4)(8000) 
v = 6000 - 2000
v=4000

4 0

3 years ago

HOW can a table be used to find the rate of change and the initial value?

Gekata [30.6K]

The data will display the data. When you look at the data and see the change in the data, that is how you can see what is the rate of change. You find the initial volume by using the data from the chart as if you was just reading the biggest of all the value.

4 0

3 years ago

In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.

frutty [35]

The perimeter of triangle ABC is 24 units

Step-by-step explanation:

There is a fact in any triangle, the segment joining the mid points of

two sides of the triangle is:

Parallel to the third side
Its length is half the length of the third side

In Δ XYZ

∵ A is the mid point of XY

∵ B is the mid point of YZ

∴ AB = $\frac{1}{2}$ XZ

∵ XZ = 18 units

∴ AB = $\frac{1}{2}$ × 18 = 9 units

∵ C is the mid point of XZ

∵ B is the mid point of YZ

∴ BC = $\frac{1}{2}$ XY

∵ AY = 7 units

∵ AY = $\frac{1}{2}$ XY

∴ 7 = $\frac{1}{2}$ XY

- Multiply both sides by 2

∴ 14 = XY

∴ BC = $\frac{1}{2}$ × 14 = 7 units

∵ A is the mid point of XY

∵ C is the mid point of XZ

∴ AC = $\frac{1}{2}$ YZ

∵ BZ = 8 units

∵ BZ = $\frac{1}{2}$ YZ

∴ 8 = $\frac{1}{2}$ YZ

- Multiply both sides by 2

∴ 16 = YZ

∴ AC = $\frac{1}{2}$ × 16 = 8 units

∵ The perimeter of any triangle is the sum of the lengths of its sides

∴ Perimeter Δ ABC = AB + BC + AC

∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units

The perimeter of triangle ABC is 24 units

Learn more:

You can learn more about triangles in brainly.com/question/10677255

#LearnwithBrainly

3 0

3 years ago

Find the value of x. round to the nearest tenth

Anna007 [38]

Answer:

using Pythagoras theorem x=32.7

3 0

3 years ago

Read 2 more answers