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3 years ago

The lines below are perpendicular. If the slope of the green lines in 3/2, what is the slope of the red line

Mathematics

2 answers:

MakcuM [25]3 years ago

3 0

Answer:

-2/3

Step-by-step explanation:

Where 2 lines are perpendicular, the slope of one = - 1 / slope of the other.

Thus the slope of the red line is - 1 / 3/2

= -2/3

Alexus [3.1K]3 years ago

3 0

Answer:

slope of red line = - $\frac{2}{3}$

Step-by-step explanation:

the product of the slopes of perpendicular lines = - 1

given m = $\frac{3}{2}$ then

$m_{red line}$ = - $\frac{2}{3}$ ← product of slopes = - 1

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Write the equation that passes through the following points:<br><br> (5,0) and (−10,−5)

Vikentia [17]

Answer:

The answer is:

$y = \frac{1}{3} x - \frac{5}{3}$

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

$y = mx + b$

❃Incase you also forgot, The is what the slope formula is ☟

$m = \frac{y_2 - y_1 }{x_2 - x_1}$

➊ First: We are going to be solving for the slope.

$m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3}$

➋Second: We find the y-intercept.

$y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b}$

➌Third: Plug in.

$y = \frac{1}{3} x - \frac{5}{3}$

4 0

3 years ago

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Tomtit [17]

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

Step-by-step explanation:

Step 1 :

The fixed charges for the pick up = $3

Charges per mile = $1.50

Let s denote the total miles driven and t be the total cost for the trip

This can be represented by the equation

t = 3 + 1.5s

Step 2:

Distance traveled by Jonathan in his trip = 10 miles

So cost for riding 10 miles is

t = 3 + 1.5(10) = 3 + 15 = $18

The cost for 10 mile taxi ride is $18

Step 3 :

If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3

Step 4 :

Answer :

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

3 0

3 years ago

Keith had two hundred sixteen dollars to spend on six books. After

Dima020 [189]

Answer:

$34.66

Step-by-step explanation:

216-8= 208 divided by 6 = 34.666666

5 0

3 years ago

Read 2 more answers

Pls help, i need help i dont understand

Svet_ta [14]

Answer:

I think it's 140 not sure

5 0

2 years ago

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

3 years ago