8 x 2 + 6x + 5=0
16 + 6x + 5=0
6x+21=0
6x+21-21=0-21
6x=-21
6x/6=-21/6
x=-7/2
Answer: The correct option is triangle GDC
Step-by-step explanation: Please refer to the picture attached for further details.
The dimensions give for the cube are such that the top surface has vertices GBCF while the bottom surface has vertices HADE.
A right angle can be formed in quite a number of ways since the cube has right angles on all six surfaces. However the question states that the diagonal that forms the right angle runs "through the interior."
Therefore option 1 is not correct since the diagonal formed in triangle BDH passes through two surfaces. Triangle DCB is also formed with its diagonal passing only along one of the surfaces. Triangle GHE is also formed with its diagonal running through one of the surfaces.
However, triangle GDC is formed with its diagonal passing through the interior as shown by the "zigzag" line from point G to point D. And then you have another line running from vertex D to vertex C.
The correct answer is option D.It is the graph that represents two quantities in a proportional relationship.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
As we can see graph D is showing the correct proportionality. We can also create an equation of proportionality as:-
Y = 2x
Put y = 0.5
0.5 = 2 x 0.5 = 1
As we put y=0.5 we get the value of x = 1 as shown in the graph.
Therefore the correct answer is option D.It is the graph that represents two quantities in a proportional relationship.
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The surface area of the cone is: A. 184π units².
<h3>What is the Surface Area of a Cone?</h3>
Surface area of a cone = πr(l + r), where r is the radius and l is the slant height.
Given the following:
- Slant height (l) = 15 units
- Radius = (r) = 8 units
Surface area of a cone = π8(15 + 8)
Surface area of a cone = 184π units²
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Answer:
if u have any doubts feel free to ask :)
Step-by-step explanation:
Sum of ratio : 9 + 7 + 4 = 20
a)
Adele share :

b)
Barbara share :

Collette share :

c)
$ €
1.125 1
306 x
[cross multiply]

x = €272
Adele receives = €272
d)
Apple Cost
1 kg 2.69
5 kg y
y = 2.69 x 5 = $13.45
Cost of 5kg of apples = $13.45
Cost of 3 kg bananas = 17.56 - 13.45 = $4.11
Banana Cost
3kg 4.11
1 kg z

z = $1.37
Cost per kilogram of banana = $1.37
e) Collette share = $136
Half of it on clothes = (1/2) x 136 = $68
(1/5) of her share on books = (1/5) x 136 = 27.20
Balance amount with her = 136 - 27.20 - 68 = $ 40.80