Answer:
Step-by-step explanation:
If it is, the first and last terms are perfect squares, and the middle term is twice the product of the roots of those squares.
16x^ = (4x)^2 . . . . a perfect square
49 = 7^2 . . . . . . . a perfect square
-2(4x)(7) = -56x . . . . . matches the middle term, so the factoring is ...
16x^2 -56x +49 = (4x -7)^2
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The sign in the binomial factors is the same as the sign of the middle term of the trinomial.
9514 1404 393
Answer:
a) ∠DAE = 33°; ∠ABD = 57°
b) ∠CEB = 90°
c) ∠ABE = 22°
d) ∠ADE = 15°
Step-by-step explanation:
The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.
a) ∠DAE = 90° - ∠ADE = 90° -57°
∠DAE = 33°
∠ADE = ∠ABD = 57°
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b) ∠CEB = 90° . . . . . the diagonals meet at right angles
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c) ∠ABE = 44°/2
∠ABE = 22°
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d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2
∠ADE = 15°
Answer:
2x^2+9x-5
Step-by-step explanation:
(X+5)(x-1/2)
x^2-1/2x+5x-5/2
x^2+9/2x-5/2
multiply through by 2
2x^2+9x-5
Length of arc=angleO/360×2pi×r
=108/360×22/7×14×14
=3/10×22×2×14
=66×2×14/10
=1848/10
=184.8inches
3x+1=1 because it is a hard problem to solve just ask your teacher
