Step-by-step explanation:
By definition, the area of a rectangle is given by:
A = w * lA=w∗l
Where,
w: width of the rectangle
l: length of the rectangle
We then have the following expression for the area:
A = k ^ 2 + 19k + 60A=k
2
+19k+60
What we must do is factorize the expression following the following steps:
1) Find two numbers that are equal to 19
2) Find two multiplied numbers equal to 60
We have then:
A = (k + 15) (k + 4)A=(k+15)(k+4)
Therefore, the width of the rectangle is:
w = (k + 4)w=(k+4)
Answer:
The equation of the line is; y = 0.5·x + 2
Step-by-step explanation:
The points that define the line CD = C(-2, 1) and D(10, 7)
The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c
Where;
m = The slope of the line =
c = The y-intercept
From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;
y - 7 = 0.5·(x - 10)
From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows
y - 7 = 0.5·(x - 10) = 0.5·x - 5
y - 7 = 0.5·x - 5
y = 0.5·x - 5 + 7 = 0.5·x + 2
y = 0.5·x + 2
The equation of the straight line in general is y = 0.5·x + 2.
small frames ($8): s
large frames ($15): L
Cost: 8s + 15L = 239 ⇒ 1(8s + 15L = 239) ⇒ 8s + 15L = 239
Quantity: s + L = 22 ⇒ -8( s + L = 22) ⇒ <u> -8s -8 L = -176 </u>
7L = 63
L = 9
Quantity: s + L = 22 ⇒ s + (9) = 22 ⇒ s = 13
Answer: 13 small frames, 9 Large frames
To solve this problem you have to know how to how to get rid of the lowest properties first like 12.5t for example subjtract that from 65t and you will get 52.5. Then your gonna want to subtract 9 from 14 and that will give you 5. Lastly, your going to divide by 52.5 by 5 and your answer will be 0.095
Answer:
D. the last one with dots on -3 and 3
Step-by-step explanation:
-2|x| = -6
divide each side by -2
|x| = 3
x = -3 or 3