Factor completely. x 3 + 6x 2 - 4x - 24
1 answer:
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In plain text, it is appropriate to express the division using a division bar (/) and parentheses around the numerator and denominator:
(3x^4 +7x^3 +2x^2 +13x +5)/(x^2 +3x +1)
It is best to reserve the square root symbol (√) for an actual square root.
Your quotient is
3x^2 -2x +5
(3x^4 +7x^3 +2x^2 +13x +5)/(x^2 +3x +1)
It is best to reserve the square root symbol (√) for an actual square root.
Your quotient is
3x^2 -2x +5
Given:
Tangent segment MN = 6
External segment NQ = 4
Secant segment NP =x + 4
To find:
The length of line segment PQ.
Solution:
Property of tangent and secant segment:
If a secant and a tangent intersect outside a circle, then the product of the secant segment and external segment is equal to the product of the tangent segment.
Subtract 16 from both sides.
Divide by 4 on both sides.
The length of line segment PQ is 5 units.
Answer:
16.51
Step-by-step explanation:
In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.
The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:
39 + 39 + x + x = 360
78 + 2x = 360
2x = 282
x = 141
This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.
Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:
Thus the shorter diagonal will be 16.51 feet in measure.
