Answer:
Step-by-step explanation:
This is a difference of squares.
√x^2 - √49 is the basic formula for factoring a difference of squares. The idea is that the middle term has been cancelled out.
√x^2 = x
√49 = 7
(x - 7)(x + 7) is the way this factors.
(x - 7)(x + 7)
===========
(x + 7)
The (x +7) in the numerator cancels with the (x + 7) in the denominator.
The answer is (x - 7)
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She might have wanted you to do it like this.
(x + 7) || x^2 + 0x - 49 || x - 7
x^2 + 7x ........... Subtract
==========
-7x - 49
-7x - 49 ...... Subtract.
=============
0
Or she might have seen you do this
x^2 - 49 x^2 49
======= = === - =====
x + 7 x 7
Every math teacher freaks when they see this. I hope I didn't put ideas in your head.
But if you got the answer by doing what I did, you got it right.
Answer:
22.3 ft
Step-by-step explanation:
we know the base is 36 ft and we want to know the height. We know the angle of elevation
AC is you picture is 36 and we are looking for BC
We know angle A is 25
We will use tangent
tan A = opposite side/ adjacent side
tan A = BC/AC
tan 25 = BC/36
Multiply each side by 36
36 tan 25 = BC
16.78707569 = BC
But we know that he is 5.5 ft tall so the flagpole is 5.5 ft taller than BC
The triangle is from his eyes to the pole
Add 5.5 to BC to find
the height of the flagpole is BC +5.5
16.787 +5.5
22.28707569
To the nearest tenth
The flagpole is 22.3 ft
Answer: Yes; " d/t = r " ;
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is, in fact, an equivalent equation to: "d = r t" .
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Explanation:
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Consider the equation: "d = rt" (which is, " d = r*t ").
We are asked if: " d/t = r " an "equivalent equation" [ to: " d = rt "] .
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Note that: "d/t = r " is the same as: ↔ "r = d/t ".
So, given: "d = rt" ; let us rewrite the equation, by isolating: "r" on one side of the equation:
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→ d = r t ; divide EACH SIDE of the equation by "t" ; to isolate "r" on one side of the equation:
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→ d/t = (r*t) / t ; to get:
→ d/t = r ; so yes; "d/t = r" and: "d = rt" are equivalent equations.
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Note: In practice, these variables are often used in the formula:
"d = rt" ; or, "distance = rate * time" .
_________________________________
Since y = -4
The y intercept is (0,-4)
$81.60
( 20% of $68 is 13.60, so you add $68 and $13.60 and it’s $81.60 )