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3 years ago

Solve the equation: 9 (x − 9)−3 = −4 (2x + 4) 4 -4 100 68

Mathematics

1 answer:

Nina [5.8K]3 years ago

8 0

Answer:

Step-by-step explanation:

Applying BODMAS here;

We first solve what is in the brackets:

9x - 81 -3 = -8x - 16

We then put the like terms together:

9x + 8x = -16 + 81 + 3

We then do the addition:

17x = -16 + 84

We then do the subtraction:

17x = 68

Simplifying this gives:

x = $\frac{68}{17}$ = 4

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1.10.4 Test: Coordinate Geometry HELP PLEASE

Zielflug [23.3K]

Answer:

$M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$M = (-1,4)$

$D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}$

$D =10\ units$

Step-by-step explanation:

Solving (1):

1a) This has already been answered in the attachment, and the selected option is correct.

i.e. Midpoint (M) is:

$M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

1b) Midpoint of (-2,-1) and (0,9)

This implies that:

$(x_1,y_1) = (-2,-1)$

$(x_2,y_2) = (0,9)$

So:

$M = (\frac{-2+0}{2},\frac{-1+9}{2})$

$M = (\frac{-2}{2},\frac{8}{2})$

$M = (-1,4)$

2a) This has already been answered in the attachment, and the selected option is correct.

i.e. Distance (D) is:

$D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}$

1b) Midpoint of (2,7) and (8,-1)

This implies that:

$(x_1,y_1) = (2,7)$

$(x_2,y_2) = (8,-1)$

So:

$D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}$

$D = \sqrt{(8 - 2)^2 +(-1 - 7)^2}$

$D = \sqrt{(6)^2 +(-8)^2}$

$D = \sqrt{36+64}$

$D = \sqrt{100}$

$D =10\ units$

6 0

3 years ago

Ravi is driving 440 miles to visit his grandma.

Ronch [10]

It will take him 8 hours to get there.

7 0

4 years ago

The revenue of Apple® went from $54.5 billion in 2013 to $74.6 billion1 in 2015. Find an exponential function to model the reven

Rus_ich [418]

r = continuous growth rate

revenue t years after 2013 = 54.5×10⁹×e^(rt)

74.6×10⁹ = 54.5×10⁹×e^(2r)

e^(2r) = 74.6/54.5

2r = ln(74.6/54.5)

r = ½ln(74.6/54.5) ≅ 0.15697 = 15.697% per year

Hope this helps!

6 0

4 years ago

Bret has a fish tank that holds 320 liquid ounces of water. On average, the water evaporates from the tank at a rate of 3.84 oun

mojhsa [17]

Answer:

266.24

Step-by-step explanation:

y=320-3.84d

d represents number of days

320-3.84(14)

=320-53.76

=266.24

3 0

3 years ago

Read 2 more answers

Help please (-5)-20-(-49)

Tom [10]

It's just -5-20-49 so the answer would be -74

8 0

3 years ago