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ddd [48]
2 years ago
6

Find the slope of the line: (4, 4), (5, 3)

Mathematics
1 answer:
fredd [130]2 years ago
8 0

Answer:

-1

Step-by-step explanation:

we would use the slope formula which is y2-y2/x2-x1

so 3-4/5-4= -1

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The value, V (t), in dollars, of a stock t months after it is purchased is modeled by the following equation.
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Answer:

Step-by-step explanation:V(t)= 42(1-e ^{1.5t} ) +36 is given value in dollars of a stock in t months after it is purchased.

a) Substitute 1 for t

V(1) = 42(1-e^{-1.5} )+36 \\=67.852\\=67.85

V(12) = V(1) = 42(1-e^{-1.5*12} )+36 \\=77.00

b) Find derivative for V

V'(t) = 42(-1.5) e^{-1.5t} )\\\\=-63e^{-1.5t}

c) When V(t) = 75

V(t)=75= 42(1-e ^{1.5t} ) +36\\1-e ^{1.5t=0.9286\\=-2.639

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In kite ABCD, mZBAE = 28º and mZBCE = 58°. Find mZABE.<br> B<br> E<br> А<br> С<br> D<br> mLABE =
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Answer:

m∠ABE = 62°

Step-by-step explanation:

Since, the given quadrilateral is a kite, diagonals will intersect at 90°.

Therefore, m∠AEB = m∠CEB = 90°

m∠BAE = 28° [Given]

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From ΔABE,

m∠BAE + m∠BEA + m∠ABE = 180°

28° + 90° + m∠ABE = 180°

m∠ABE = 180° - 118°

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Therefore, measure of angle ABE = 62°.

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