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3 years ago

Which of these inequalities has no solutions?

Mathematics

1 answer:

s2008m [1.1K]3 years ago

7 0

Answer:

Step-by-step explanation:

as we know a redical expression is always greater than or equal to 0
but the B) means that the redical expression is less than 0 which is false

therefore our answer is B

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If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).

NemiM [27]

Cosine is $\frac{hypotenuse}{adjacent}$ .

Apply the equation:

$sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2} = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2$

B is the adjacent side so

cosine is:

Cos(t) = 5/2

Have a great day,

And I hope this helps you!

5 0

3 years ago

Two friends left school at the same time and drove in opposite directions. One friend averages 40 miles per hour and the other f

EastWind [94]

The two friends will be 150 miles apart, when the sum of the distances covered by the them is 150 miles.

distance = speed x time.
Let the time covered when they are 150 miles apart be x, then:
40x + 35x = 150
75x = 150
x = 150/75 = 2.

Therefore, the two friends will be 150 miles apart in 2 hours.

3 0

3 years ago

PLEASE HELP ME!!

Gnesinka [82]

First take the amount of drinks and popcorn needed then multiply the amount by the price then see if she has enough money when you finish the multiplying.

5 0

3 years ago

The scale drawing of a window is 1 inch by 2 inches. The actual size of the window is 24 inches by 48 inches.

weeeeeb [17]

This means that every 1 inch in the drawing is 24 inches of the actual size.

Hope this helps!

8 0

3 years ago

Write an equation of the perpendicular bisector of the segment with endpoints G 9,8       and H 3,2      .

Norma-Jean [14]

Answer:

y = -x + 11

Step-by-step explanation:

The equation of a straight line is is given by:

y = mx + b; where m is the slope and b is the y intercept

The equation of the line joining G(9, 8) and H(3, 2) is given as:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-8=\frac{2-8}{3-9}(x-9)\\\\y-8=x-9\\\\y=x-1$

The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).

Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:

x = (9 + 3)/2 = 6

y = (8 + 2)/2 = 5

The midpoint = (6, 5)

Two lines are perpendicular if the product of their slopes is -1.

The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.

This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:

$y-y_1=m(x-x_1)\\\\y-5=-1(x-6)\\\\y-5=-x+6\\\\y=-x+11$

The equation of the perpendicular bisector is y = -x + 11

8 0

3 years ago