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-Dominant- [34]
4 years ago
13

Find an equation of the line that passes through the point and has the indicated slope m. (let x be the independent variable and

y be the dependent variable.) (−2, 3); m
Mathematics
1 answer:
zhenek [66]4 years ago
4 0
I think that x is on they y axis and what connects between that is 2,-3
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Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads
Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

Distance = Speed \times Time

Distance\ OA = 10 \times 2.5 = 25\ km

Distance\ OB = 16 \times 2.5 = 40\ km

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled \triangle AOB.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km

The speed at which distance is increasing between the two boats is given as:

\dfrac{47.17}{2.5} \approx 18.87\ km/hr

4 0
3 years ago
The graph of f(x) = 24x^2 + 63x +34/ 4x + 3 has an oblique asymptote at y =
g100num [7]

<em>Correct answer is C). 6X+11</em>

Step-by-step explanation:

The given function f(x)= \frac{24x^{2} +63x + 34 }{4x+3}

On simplying the function f(x),

f(x)= \frac{6x(4x+3) -18x +63x + 34 }{4x+3}

f(x)= \frac{6x(4x+3) +45x + 34}{4x+3}

f(x)= \frac{6x(4x+3) +11(4x+3)+x-33 + 34 }{4x+3}

f(x)= \frac{6x(4x+3) +11(4x+3)+x+1}{4x+3}

f(x)=(6x+11)+\frac{(x+1)}{4x+3}

From above equation

"(6x+11)" is Oblique asymptote and \frac{(x+1)}{4x+3} is vertical asymptote

Therefore, Correct answer is C). 6X+11

8 0
3 years ago
Read 2 more answers
Solve the following system. x 2 - y = 3 x - y = -3 The solution set
Tpy6a [65]
Hello : 
<span>x²- y = 3 ...(1)
 x - y = -3 ...(2)
by (2) : y = x+3
subqct in (1) : x²-x-3 = 3
x²-x-6 =0
(x+2)(x-3) = 0
x+2 =0 or x-3 =0
x=-2 or x=3
if x = -2   y = -2+3 = 1
if x=3      y =3+3 = 6
two solutions : ( -2, 1) , (3,6)</span>
8 0
4 years ago
Help please I’m literally desperate
ollegr [7]

Answer:

I think the answers are 9 and 18.

Step-by-step explanation:

i think this because 3 x 3 is 9 and 9 x 2 = 18 then add another 9 to get 27.

Have an amazing day!

Please rate!

4 0
2 years ago
Read 2 more answers
What is the value of x? enter your answer in the box x= ​
xz_007 [3.2K]

Answer:

x = 20

Step-by-step explanation:

Given

The attached triangle

Required

Find x

The value of x will be found using the following equivalent ratios:

11 : 121 = 10 : 5x + 10

Convert to fraction

\frac{11}{121} = \frac{10}{5x + 10}

Factorize:

\frac{11}{121} = \frac{5*2}{5(x + 2)}

Simplify

\frac{1}{11} = \frac{2}{x + 2}

Cross Multiply

1 * (x + 2) = 2 * 11

x + 2 = 22

Collect Like Terms

x = 22-2

x = 20

4 0
3 years ago
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