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aalyn [17]
3 years ago
10

Can someone answer this

Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

Hey there! :)

Answer:

(-6, -7)

Step-by-step explanation:

Given the equations:

y = -1/6x - 8

y = 2x + 5

When graphed, we get a solution, or point of intersection, at (-6, -7). This is the point at which the two equations are equal to each other. This can even be proven:

-7 = -1/6(-6) - 8

-7 = 1 - 8

-7 = -7

----------------------

-7 = 2(-6) + 5

-7 = -12 + 5

-7 = -7

Thus, proving graphically and algebraically, the solution is at (-6, -7).

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The two spheres above have the same center one has a radius of 2 cm and the other one has a radius of 3 cm approximately how muc
Paladinen [302]

Answer:

79.6 cm^3

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

sphere A radius 2 cm so r[A] = 2 cm

sphere B radius 3 cm so r[B] = 3 cm

distance between the surfaces of the 2 spheres is 1 cm

To find volume of each sphere and the difference in volume:

pi r^2 * r - (1/3) pi r^2 * r = (2/3) pi r^3

8 0
3 years ago
Find the area of the trapezoid.<br> Answer options: 8sqrt2, 4sqrt3, 12.0, 16sqrt2
Elis [28]

Answer:

=  8sqrt2

Step-by-step explanation:

Area of a trapezium is given by the formula;

1/2(a+b)h ;

Where a and b are the parallel sides and h is the perpendicular height.

a = 3 cm, b= 5 cm

To get; h, we use the Pythagoras theorem;

h² = 3² - 1²

   h² = 8

h = √8

  = √4√2

 = 2√2

Thus;

Area = 1/2(3 +5) 2√2

         = 1/2 ×8 × 2√2

       <u>  = 8√2 cm² or  8sqrt2 cm²</u>

8 0
3 years ago
A. -2 5/7 <br> B. - 3/8 <br> C. - 1/21<br> D. 1/3
pentagon [3]

-1/3 * (8 1/7)

= -1/3 * 57/7

= -57/21

= - 2 15/21

= -2 5/7

Answer

A. -2 5/7

7 0
3 years ago
The difference of two numbers is 40. Their sum is 66. Find the numbers.
Margaret [11]
First of all, x>y
x-y=40
and
x+y=66
add them equations together to eliminate

x-y=40
<u>x+y=66 +</u>
2x+0y=106

2x=106
divide by 2
x=53

sub back
x-y=40
53-y=40
minus 53 both sides
-y=-13
y=13


the numbers are 53 and 13
8 0
3 years ago
Read 2 more answers
Given: Circle k(O) Diameter <br><br>XY tangent WZ, XY = 10, and WZ = 12 .Find: YZ
PtichkaEL [24]

Answer:

<h2>Side YZ is 8 units long.</h2>

Step-by-step explanation:

We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.

By given, we know that XY = 10, which means WO=\frac{XY}{2}=\frac{10}{2}=5, by radius definition.

An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means \angle OWZ = 90\°\\ and \triangle OWZ is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.

OZ^{2} =WZ^{2}+OW^{2}

Where OZ is the hypothenuse and WZ , OW are legs of the triangle.

Replacing all given values, we have

OZ^{2}=12^{2}+5^{2}\\OZ=\sqrt{144+25}=\sqrt{169}\\  OZ=13

However, by sum of segments, we have

OZ=OY+YZ, where OY=OW=5 and OZ=13

13=5+YZ\\YZ=13-5\\YZ=8

Therefore, side YZ is 8 units long.

3 0
3 years ago
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