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Pavlova-9 [17]
3 years ago
15

What is the slope of a line perpendicular to the line y = -3x + 9?

Mathematics
1 answer:
Anna35 [415]3 years ago
6 0

Answer: 1/3

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal.

For example, if slope of line A is a/b, then slope of line B which is perpendicular will be -b/a.

Substitute 1 and 3 for a and b. Apply the formula and get 1/3.

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A spirit shop outside the hockey stadium sells merchandise representing the three school districts that built the arena. the ent
almond37 [142]

Point E is where the statue should be placed.

<h3>What is called a triangle?</h3>
  • A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
  • Triangles are three-sided shapes. The various kinds of triangles go by various names. The angles' size and the sides' length determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.
  • The triangle is most frequently seen in our daily lives on traffic signs. The signs are triangular in shape and equilateral, which means that all three of their sides are the same length and have the same angle.

At what point should the statue be:

The intersection of the doors to the arena, the spirit store, and the parking lot forms a triangle, with Point E in its center. The radius of the circumscribed circle will therefore equal the distance from the statue to each vertex, placing it at the same distance from all three landmarks.

Point E is where the statue should be placed.

To learn more about the Triangle, refer to:

brainly.com/question/17335144

#SPJ4

4 0
1 year ago
Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 4.5%/year compounde
valentina_108 [34]

Answer:

each payment = $214.20

Step-by-step explanation:

For ordinary annuity,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

Here, FVOA = $50,000

year, n = 14

Since the interest will be paid monthly, m = 12

interest rate, r = 4.5% = 0.045

PMT = ?

Putting all the values into the ordinary annuity formula,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

$50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [(1.8754 - 1)/0.00375]

or, $50,000 = PMT x [(1.8754 - 1)/0.00375]

or, $50,000 = PMT x 233.4399

or, PMT = $50,000/233.4399

PMT = $214.19

or, monthly payment will be $214.20 (Nearest cent)

7 0
3 years ago
Determine which function has the greatest rate of change as x approaches infinity.
Mekhanik [1.2K]

Answer: h(x) = 3*x^2 - 7*x + 8

Step-by-step explanation:

The rate of change of a function is equal to the derivate:

remember that a derivate of the form:

k(x) = a*x^n is k'(x) = n*a*x^(n-1)

Then we have:

f(x) = 2*x - 10

f'(x) = 1*2* = 2

g(x) = 16*x - 4

g'(x) = 1*16 = 16

h(x) = 3*x^2 - 7*x + 8

h'(x) = 2*3*x - 1*7 = 6*x - 7

So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)

3 0
3 years ago
7.2 is 15% of what number?​
polet [3.4K]

Answer:

48

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
PLS HELP THIS IS A TEST
Pie

Answer:

D: 7

Step-by-step explanation:

1.75 (7) + 4.50

12.25 + 4.50

= 16.75

16.75 < 20

8 0
3 years ago
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