Find the slope, if it exists, of the line containing the pair of points. (-17,-9) and (-19-18) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is (write an integer or a simplified fraction.)_________ B. The slope is undefined.________

Answers

Answer 1
Answer:

Answer:

the slope is (9)/(2)

Step-by-step explanation:

calculate the slope m using the slope formula

m = (y_(2)-y_(1) )/(x_(2)-x_(1) )

let (x₁, y₁ ) = (- 17, - 9 ) and (x₂, y₂ ) = (- 19, - 18 )

substitute these values into the formula for m

m = (-18-(-9))/(-19-(-17)) = (-18+9)/(-19+17) = (-9)/(-2) = (9)/(2)


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1: An isosceles triangle XYZ has an equal side XY and XZ of length 16 cm. Of the third side YZ is 20 cm, calculate the altitude the triangle Leave Answer in surd form

Answers

Answer:

2√39 cm

Step-by-step explanation:

ΔXYZ is an isosceles triangle & XY = XZ, therefore:

YX' = X'Z

      = 20 ÷ 2

      = 10 cm

ΔXYZ' is a right triangle, therefore:

XY² = YX'² + XX'²

16² = 10² + XX'²

XX'² = 256 - 100

XX' = √156

      = 2√39 cm

The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.

Answers

Answer:

The remaining solution to the equation is x = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

First set the equation to zero by subtracting 2 from each side:

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factor the left side of the equation:

2x^2 + x - 3 = 0

(2x + 3)(x - 1) = 0

Now set each factor to zero and solve:

2x+ 3 = 0

2x+ 3 - 3  = 0 - 3

2x= -3

2x/2= -3/2

x= -3/2 (The given expression)

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Since we already knew x = -3/2, the missing solution is x = 1.

80/36 as a mixed number

Answers

Answer:

yes because the one on top is larger than the number on the bottom

Answer:

2 2/9

Step-by-step explanation:

20/9 = 2 2/9

36 x 2 = 72

80 - 72 = 8/36

2 8/36 = 2 2/9

Use the substitution method to solve the system of equations.y = -4x
8x - y = 6
A (1/2,-4
B.(1/2,-2
C. (2,-8)
D. (1,-4)​

Answers

Answer:

I did as elimination method

The Simplified base of the function f(x) = 3(16) 3/4x is 12.

True Or False?

Answers

f(x)=3(16) +3/4x
=48+ 3/4(16)
=48=11.30
=59.30

You are scheduling a new delivery route and you need to find out how long it will take a driver to complete the route. You start the route at 9:50 A.M. and finish at 2:05 P.M. How long does it take to drive the route?

Answers

Answer:

4 hours and 15 minutes

Step-by-step explanation:

We have to find out how long it will take a driver to complete the route.

Time of start the route = 9:50 A.M.

Time of finish  = 2:05 P.M.

We can convert the time of finish in 24 hours time

2:05 P.M = 14:05

Now we subtract start time from finish time.

 14:05

- 09:50     [borrow 60 minutes to subtract 50 from 05]

04 : 15

It takes 4 hours and 15 minutes to drive the route.

The route will take four hours and fifteen minutes. If you start at 9:50 and count four hours, you'll get to 1:50, add ten to get to 2:00, then add 5 minutes to get to 2:05. Four hours plus ten minutes plus five minutes, 4:15.