Answer:
B) (4x-5i)(4x+5i)
Step-by-step explanation:
The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...
a² -b² = (a -b)(a +b)
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Here, we have ...
a² -b² = 16x² -(-25)
a² = 16x² ⇒ a = 4x
b² = -25 ⇒ b = √-25 = 5i
Then the factoring is ...
(a -b)(a +b) = (4x -5i)(4x +5i)
<span>To find the total loss for this play, take the two values, find their signs (positive or negative), then sum them. In this case, the play itself resulted in a movement of -12.5 yards, and the penalty added a -5 yard movement to the result. This would lead to a total movement of (-12.5 + [-5]), or -17.5 yards.</span>
Let's find the area of the base.
It's a rectangle that's 3.8 by 4.8, so let's multiply.
3.8×4.8=18.24
We have two different triangles.
Triangle one has a height of 2.6 and base of 4.8. But there are two of them.
2.6×4.8×0.5=6.24×2= 12.48; this is the area of two triangles.
Another set of triangles has a height of 2.9 and a base of 3.8.
2.9×3.8×0.5=5.51×2=11.02
Let's add all the areas together.
18.24+12.48+11.02
41.74
The surface area is 41.74 m², so the third option.
The linear equation in slope-intercept form can be written as:
y = 5*x + 6
<h3>How to find the linear equation?</h3>
A general linear equation in the slope-intercept form is:
y = a*x + b
Where x is the independent variable, y is the dependent variable, and a and b are constant real numbers, such that a is the slope and b is the y-intercept.
Here we know that the slope is 5, then we can replace a by 5.
And we know that the y-intercept is (0, 6), it means that b = 6.
Then the linear equation in slope-intercept form can be written as:
y = 5*x + 6
If you want to learn more about linear equations:
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Answer:
2 dollars
Step-by-step explanation:
if 8 limes costs 2 dollars, then 4 limes cost 1 dollar
you purchased 12 limes so since you already know what 8 limes coms, you could subtract that
12-8=4
now you need to find out how much for 4 limes which would be half the price of 8 limes.. which should be 1 dollar
so $2.00+$1.00= $3.00
finally 5 dollars minus 3 would result in a change of 2 dollars