(1,-3)(3,-5)
slope = (-5 - (-3) / (3 - 1) = (-5 + 3) / 2 = -2/2 = -1 <==
In order to solve this exercise you need to remember the following symbols in Inequalities:
1. The meaning of this symbol is "Greater than":

2. The meaning of this one is "Less than":

3. The following symbol means "Less than or equal to":

4. And this one means "Greater than or equal to":

Knowing the above, you can determine that the statement "c is less than 6", can be written as the following inequality:

The answer is:
Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
Answer:
Approximately 117.81 ft²
Step-by-step explanation:
Find the area of the whole circle
A=πr²
A=π(15)²
A=706.86 ft²
Now you need to find the area of the garden covered in roses, so take the total degrees in a circle (360) and divide it by the degrees of the roses (60).
360/60=6
Take the area of the whole circle (706.86 ft²) and divide it by the number you just got (6). The number you get will be the area of the rose section.
706.86/6= 117.81 ft²
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