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icang [17]
3 years ago
5

What is the slope of the line passing through the points (-5,9) and (2,-12)​

Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Answer:

-3

Step-by-step explanation:

To find the slope of a line given two points, we use:

\frac{y_2-y_1}{x_2-x_1} \text{ when the points } (x_1,y_1) \text{ and } (x_2,y_2) \text{ are on the line }.

Or you could line up the points vertically and subtract the points vertically, then put 2nd difference over 1st difference.

That looks like this:

(  2  ,  -12)

-( -5  ,  9   )

----------------

  7         -21

So the slope is -21/7 which gives you -3.

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alisha [4.7K]

Given:

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x>111

To find:

The x-values that are the solutions to the given inequality.

Solution:

We have,

x>111

It means all the real numbers greater than 111 are the solutions to the given inequality.

97, so 97 is not a solution.

101, so 101 is not a solution.

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Therefore, the correct option is C.

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3 years ago
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Naddik [55]
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4 years ago
The diameter of a circle is 12 m. Find its area in terms of pie
kumpel [21]

Answer:

  36π m²

Step-by-step explanation:

The radius is half the diameter, so is (12 m)/2 = 6 m. The area formula is ...

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4 0
3 years ago
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If 3sinA+4cosA=5 then find the value of cosA
deff fn [24]

Answer:

cos(A) = 4/5

Step-by-step explanation:

3sinA+4cosA=5

Divide by 5 on both sides

(3/5)sinA+(4/5)cosA = 1 .................(1)

from which sin(A) = 3/5, cos(A) = 4/5  by inspection, since

(3/5)^2+(4/5)^2 = 1

For more details,

Let

cos(B) = (3/5), then

sin(B) = (4/5)

Substitute in (1)

cos(B)sin(A) + sin(B)cos(A) = 1          substitute trigonometric sum

sin(A+B) = 1  => A & B are complementary

cos(A) = sin(B) = 4/5

8 0
3 years ago
What is the solution set of this inequality? 8(x-5)-3x>/= -20
Gnom [1K]

Answer:

[ 4, ∞ )

Step-by-step explanation:

Given

8(x - 5) - 3x ≥ - 20 ← distribute and simplify left side

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Solution set is [ 4, ∞ )

5 0
3 years ago
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