Easy there on the caps, partner.
The nine, using the distributive property, distributes itself across the brackets, and so 9 times t is 9t and 9 times -1 is -9.
Therefore, 9(t-1) = 9t -9
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
Answer:
The equation of the line is y = 4x + 13
Step-by-step explanation:
In this question, we want to write the equation of the line using the point slope form.
Mathematically, the point slope form can be represented as;
(y-y1) = m(x - x1)
where x1 = -2 , y1 = 5 and m which is the slope is 4
Plugging these values into the equation, we have;
(y-5) = 4(x - (-2))
y-5 = 4(x + 2)
y -5 = 4x + 8
y = 4x + 8 + 5
y = 4x + 13
Answer:
your study guide can be stuck up you know where :3
685,000,000 would be the right number. Hope this helps!
