All categories

3 years ago

Answer this question!!! :)

Mathematics

2 answers:

allochka39001 [22]3 years ago

8 0

Answer:

X = 1

Step-by-step explanation:

You first divide each side by 3 leaving you with X+5 = 6. Then you take the 5 to the other side leaving you with X=6-5 as the 5 changes from positive to negative. So 6-5=1 so X=1

Hope this helped

-A3miz

Age:13

tatyana61 [14]3 years ago

7 0

Divide both sides by 3
Then simplify 18 over 3 to 6
Then subtract 5 from both sides
Last simplify 6-5 to 1

You might be interested in

Examples of equivalent mixed numbers

Sloan [31]

2/4 and 1/2

5/10 and 1/2

1/3 and 2/6

40/90 and 4/9

3 0

3 years ago

Couldn't you use the law of cosines to find one angle and use the law of sines to find the rest

steposvetlana [31]

Correct. In the case where you are given enough information to use the law of cosines you could in fact then use the law of sines afterwards to find your remaining angle. That being said beware of solutions that don't make a feasible triangle (if you were using the law of cosines you only have one angle, so that means whatever your second angle is that you found using the law of sines can't make your sum go over 180, because you still need some angle left for the last angle).

7 0

3 years ago

A triangle has sides with lengths of 5x - 2, 4x - 4, 6x - 8. What is the perimeter of the triangle?

xxMikexx [17]

Answer:

(15x - 4) units

Step-by-step explanation:

5x-2 + 4x-4 + 6x - 8

15x - 14

3 0

4 years ago

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th

Irina-Kira [14]

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is $\sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }$

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by $8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h$

Area of the four side faces of the aquarium is 4 times the length of the base times the height = $4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}$

Total area to be covered by grass is the base and the four side faces and is given by $\frac{20}{h}+\sqrt{320h}$

Cost of the entire metal frame = $7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h$

Cost of the entire grass = $8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h$

Therefore, total cost in terms of the height, h, is given by

$C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h$

3 0

4 years ago

Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). Find the curve in which the s

svet-max [94.6K]

Answer:

A) x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0

B) radius = 5

center = (4,-1,-3)

Step-by-step explanation:

$x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0$

A ) Determine the curve in which the sphere intersects the yz-plane

determine the radius ( r ) = √((6-(-1))2+(-2-2)2+(3-1)2) = √69

next the equation of the sphere ( curve in which the sphere intersects the yz-plane )

x^2+2x+y^2-4y+z^2-2z-63 = 0

B) determine the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

(x-4)2+(y+1)2+(z+3)2 = 25 = 52

radius = 5

center = (4,-1,-3)

5 0

3 years ago