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Paladinen [302]
3 years ago
14

What is the slope of a line perpendicular to a line with slope –9?

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

The answer is 1/9.

Step-by-step explanation:

When solving for the slope of a perpendicular line to a given, you have to flip the opposite reciprocal.

First take the number and flip the reciprocal, in this case -9 turns into -1/9.

Then flip the sign, like making a negative to a positive or a positive to a negative. In this case make -1/9 into 1/9

Therefore the answer is 1/9.

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Solve by substitution. 5x + 4y = -14 y = -7x - 15
ki77a [65]

Answer:

(-2,-1)

Step-by-step explanation:

5 0
3 years ago
An observer on a cliff 1000 yards above sea level sights two ships due east. The angles of depression from the observers perspec
Anika [276]

Answer:

480.53 yards

Step-by-step explanation:

cos(35) = 1000/hypotenuse1    - multiply by h (hypotenuse)

(h1)cos(35) = 1000        - divide by cos(35)

h1 = 1000 / cos(35)

h1 = 1220.7746

Same thing with the angle of depression of 54 degrees.

h2 = 1000 / cos(54)

h2 = 1701.3016

h2 - h1 = 480.53

3 0
3 years ago
The average age of 6 men is 35 years and
PSYCHO15rus [73]

Answer:

39.50

42.50

Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

Average = sum of ages / total number of men

35 = sum of ages / 6

sum of ages = 35 x6 = 210

32 = sum of ages / 4

32 x 4 = sum of ages

128

210 - 128 = 82

age of the younger man = x

age of the older man = 3 + x

x + 3 + x = 82

2x + 3 = 82

2x = 82 - 3

2x = 79

x = 79/2 = 39.5

older man = 39.5 + 3 = 42.50

7 0
3 years ago
Pls help this question bamboozles me and I am now sitting here confused
UkoKoshka [18]

Answer:

10+3pi

Step-by-step explanation:

The perimeter of of the shaded region is

AC+CT+marcSBT+SA

*Finding AC

The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.

*Finding CT

CT=RT-RC where RC is the width of the rectangle

Also RT is a radius so we have that

CT=6-RC

*Finding marcSBT

The circumference of a whole circle is 2pi*r.

We have a quarter of this with r=6.

1/4*2pi(6)

1/4*12pi

3pi

*Finding SA

SA=RS-AR

RS is a radius of the circle and AR is the length of the rectangle.

So we have that this can be rewritten as

SA=6-AR

Let's put these parts together:

6+6-RC+3pi+6-AR

Simplifying:

18-RC-AR+3pi

18-(RC+AR)+3pi

18-8+3pi (Remember length plus width equal 8)

10+3pi

4 0
3 years ago
Who is the president of India?
Oduvanchick [21]
<span><span>The </span>President of India<span> is the formal </span>Head of State, head of the executive and legislature of India and is the commander-in-chief of the Indian Armed Forces. Pranab Kumar Mukherjee<span> born on December 11, 1935 is the 13th and current </span>President of India, in office since July 2012.</span>
8 0
3 years ago
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