<span>A = 2 * (0.5ab) + b (10 - a) = ab + 10b - ab = 10b
10b = 30√2; b = 3√2
sin α = 3√2 / 6; α = 45 degrees
Small angle: 45°; Large angle: 135°</span><span>
</span>
Answer:
see explanation
Step-by-step explanation:
(a)
The equation of a line in slope- intercept form is
y = mx + c
Given
y - 3 = - 4(x + 2) ← distribute
y - 3 = - 4x - 8 ( add 3 to both sides )
y = - 4x - 5 ← in slope- intercept form
(b)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
From the slope- intercept form
y = - 4x - 5 ( add 4x to both sides )
4x + y = - 5 ← in standard form
9514 1404 393
Answer:
y = 2(x -2)^2 +1
Step-by-step explanation:
Start by factoring the leading coefficient from the x-terms.
y = 2(x^2 -4x) +9
Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)
y = 2(x^2 -4x +4) +9 -2(4)
Put in the desired form.
y = 2(x -2)^2 +1
This matches vertex form ...
y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)
C is the answer all you had to do was
31.80-4.00
Which is 27.80
Then add 2.50
Which is 30.3!
Xavier spent $84 on supplies (so this is an expense we will make only once), and then he will spend one more dollar for each canvas. So, his total expense for paintings will be
Similarly, he will get 8 dollars for each painting, so he will earn
dollars if he will sell paintings.
In order to break even, earnings and costs must be equal:
Subtract p from both sides:
Divide both sides by 7:
So, he has to sell at least 12 paintings to break even.