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Molodets [167]
2 years ago
6

Solve x2 + 14x = -40 by completing the square.

Mathematics
1 answer:
zalisa [80]2 years ago
6 0

Answer: C x=-4 and -10

Step-by-step explanation:

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2 years ago
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Question :
Elza [17]

Answer:

C) 405.3 ft

Step-by-step explanation:

A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.

Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

82 + 78 + ∠C = 180

∠C + 160 = 180

∠C = 20°

Using sine rule:

\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a=    \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft

a =  distance from Ship B to the signal fire at point C

8 0
2 years ago
I need help please ​
ElenaW [278]

Answer:

L = 25

Step-by-step explanation:

Let's call the Length x and width x - 15 since the width is 15 less than length

Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides

x + x + (x - 15) + (x - 15) = 70 add like terms

4x - 30 = 70 add 30 to both sides

4x = 100 divide both sides by 4

x = 25

8 0
3 years ago
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Find the percent of the total area under the standard normal curve between the given z-scores. z= -1.10 and z= -0.36
siniylev [52]
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3 0
3 years ago
the graph of f(x) is shown below. what are the values of a, b, c, and d in the definition of f(x) below? (graph and definition o
Otrada [13]

Answer:

Step-by-step explanation:

For the given piecewise function,

Let the equation of the segment AB is,

y = ax + 7 where x < -2

Since a point (-2, 3) lies on the given line,

3 = a(-2) + 7

3 - 7 = -2a

a = 2

Therefore, f(x) = 2x + 7 when x < -2

For the segment BC,

f(x) = 3 where -2 ≤ x ≤ 2

For the segment CD,

f(x) = bx + 9

Since a point (2, 3) lies on this segment,

f(2) = 2b + 9 = 3

2b = 3 - 9

b = -3

Therefore, equation of segment CD will be,

f(x) = (-3)x + 9   where x > 2

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