This should be recognized as the difference of perfect squares which is of the form:
(a^2-b^2) and the difference of squares always factors to:
(a-b)(a+b) in this case:
(3x-8)(3x+8)
Answer:
the sequence is by -5
therefore the next numbers are
-13,-18,-23,-28
Answer:
100 cm
Step-by-step explanation:
Given:
AC = BC
AC = 40
2AB=AC
Simplify:
BC = 40
Simplify:
2AB = 40
Algebra:
AB = 20
Here's the sides:
AB = 20
AC = 40
BC = 40
Add all of them together:
100
Answer:
25.2294 feet
Step-by-step explanation:
We can solve this question drawing a triangle using the values given and then using the law of sines. (See image attached to know how to draw the triangle and use the values).
First we need to find the third angle of the triangle, that is, the angle in the vertix where the bird is:
y + 55 + 63 = 180
y = 62°
The relation between the angles and the distances are:
25 / sin(y) = x / sin(63)
25 / 0.8829 = x / 0.8910
x = 25 * 0.8910 / 0.8829 = 25.2294 feet
Answer:
44°
Step-by-step explanation:
Note that the square in located to the left of the two given intersecting lines denotes that it is a right angle, in which the measurements is 90°.
This means that:
∠α + ∠β = 90°
Let:
m∠α = x
m∠β = 46°
Plug in the corresponding numbers and variable to the given terms:
x + 46 = 90
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 46 from both sides:
x + 46 (-46) = 90 (-46)
x = 90 - 46
x = 44
x = 44° is your answer.
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