Answer:
x=6
Step-by-step explanation:
Remember, the formula for area is the length times the width. So, if we know the width is 3, and we know the total area is 24, all we need to do is divide 24 by 3 to get 8. 8 is the split up side, the one that is x + 2. To find x, simply subtract 2 from 8. 8 - 2=6.
24/3=8
8-2=6
B.) Hibiscus Street
The key thing to remember is the slope of the lines. The equation for a line in slope intercept form is
y = ax + b
where
a = slope
b = y intercept
So the equation for Oak Street is y = 2/3x - 7. So it's slope is 2/3. And any street that has the same slope will be given a tree name. And any street that's perpendicular will be given a flower name. You can determine is a line is perpendicular if it has a slope that's the negative reciprocal. So a street that's perpendicular to Oak street will have a slope of -3/2.
Now you've just been given the equation to a new street that's y = -3/2x - 2. Since the slope is -3/2 and Oak street has a slope of 2/3, the new street is perpendicular to Oak street. And given the naming scheme, that means that the new street will have the name of a flower. So let's look at the available street names and pick a flower.
<span>
A.) Weeping Willow Street
* Nope a Weeping Willow is a tree. So this name won't work.
B.) Hibiscus Street
* Yes. A Hibiscus is a flower, so this name is suitable.
C.) Oak Street
* Nope. Not only is this a tree instead of a flower, but there's already an Oak street. So bad choice.
D.) Panther Street
* Nope, this is an animal, not a flower. Bad choice.
</span>
Answer:
3 good luck with the answer
1- the answer is b and d 2- the answer is a and b 3- the answer is b
Activity 3
1) 2m^2(4m^2 + 3m + 2)
2) (x + 4)^2 (x - 4)
3) (x + 9)(x - 7)
4) 5y(17y - 4z)
5) (2x - y)(6x + 5y)
Activity 4
1) 80 units because when you sub h = 9, you get 400 as the answer and because it’s a square, you square root 400 which is 20 units per side.
2) x = 7cm because when you multiply (x + 5)(x - 3), you get x^2 + 2x - 15 = 48 and when you solve it you get x is equal to 7, -9, because the length of the rectangle is positive x is equal to 7.
3) the binomial would be (9x + 1)^2.
