Answer:
<u>A. Vertex: (1, -8); x-intercepts: -1 and 3</u>
Step-by-step explanation:
The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.
So the point where it scoops up is (1, -18)
The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.
The places where it touches the x-axis is -1 and 3
Answer:
1.) It's 20th century painting
2.) 0.5 probability
Step-by-step explanation:
If the universal = 60
We need to first get the value of X. That is,
x (x - 2) + x + 2x + 8 + 10 = 60
First open the bracket
x^2 - 2x + x + 2x + 8 + 10 = 60
x^2 + x + 18 = 60
x^2 + x - 42 = 0
Factorise the above equation
x^2 + 7x - 6x - 42 = 0
x (x + 7) -6(x + 7) = 0
x = 6 or - 7
Since x can't be negative, so we will ignore -7
The value for T = 6(6 - 2) = 6×4 = 24
The value for B = 2(6) + 8 = 12 + 8 = 20
If a painting is chosen from random,
If it's from 20th century, the probability will be 34/60 = 0.567
If it's from British painting, the probability will be 30/60 = 0.5
We can therefore conclude that it's from 20th century painting since it has higher value of probability.
The the probability of choosing a British painting will be 30/60 = 0.5
Answer: Conifers
Step-by-step explanation:
Conifers are the only living specie of gymnosperms and are cone bearing seed plants which are needle like and evergreen. Conifers produce pinecones and are common in the cold and boreal region. They are good timbers trees and are used for ornamental purposes. Conifers are the most important and diverse class of gymnosperms with about 588 living species. Examples are pines, cypresses, etc.
9514 1404 393
Answer:
- 150.72 cm³
- 314 cm³
- 160 cm³
- 48 cm³
Step-by-step explanation:
Put the given numbers in the relevant formula and do the arithmetic.
<u>right cylinder</u>
V = πr²h = 3.14(4 cm)²(3 cm) = 3.14×48 cm³ = 150.72 cm³
<u>cone</u>
V = 1/3πr²h = 1/3(3.14)(5 cm)²(12 cm) = 3.14×100 cm³ = 314 cm³
<u>pyramid of unknown shape</u>
V = 1/3Bh = 1/3(16 cm²)(30 cm) = 160 cm³
<u>square pyramid</u>
V = 1/3s²h = 1/3(3 cm)²(16 cm) = 48 cm³