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3 years ago

What is the equation, of the perpendicular to y= 1/8x + 2, , passing through the point (1,-5)?

Mathematics

1 answer:

BARSIC [14]3 years ago

7 0

Answer:

yes passing is the best thing to do so you can get a job

Step-by-step explanation:

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Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. x < 2 a

marysya [2.9K]

We want to solve the inequalities
x < 2
y ≤ 4x + 1

<span>Graph </span>the lines:
x = 2
y = 4x +1

The solution to the system of inequalities is the shaded region shown in the graph below.

Test the given points to see whether they fall within the solution region.

Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail

Answer: (=3, -15)

4 0

2 years ago

Solve (MAFS.912.A-REI.2.3)

Vikki [24]

Answer:

c,=2d=-2

Step-by-step explanation:

4 0

2 years ago

During the first part of a trip, a canoeist travels 96 miles at a certain speed. the canoeist travels 15 miles on the second pa

blondinia [14]

This problem is a problem using
d = r * t
First part of the trip
d = 96 miles
r = ??
t = ??

Second part of the trip
d = 15 miles
r = r - 5
t = 4 - t

Solve for r first.
96/r + 15/(r - 5) = 4 hours multiply through by r and r - 5
96(r - 5) + 15r = 4*(r - 5)(r) Remove the brackets on the left
96r - 480 + 15r = 4*r*(r - 5) Collect like terms on the left.
111r - 480 = 4r(r - 5) Remove the brackets on the right.
111r - 480 = 4r^2 - 20r Bring the left side over to the right side.
0 = 4r^2 - 20r - 111r + 480 Collect like terms.
0 = 4r^2 - 131r + 480

The only way I could do this was to use the quadratic equation.

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}$

a = 4

b = - 131

c = 480

$\text{x = }\dfrac{ -(-131) \pm \sqrt{(-131)^{2} - 4*4*480 } }{2*4}$
$\text{x = }\dfrac{ 131 \pm \sqrt{(17161) - 7680 } }{8}$
$\text{x = }\dfrac{ 131 \pm \sqrt{9481 } }{8}$
$\text{x = }\dfrac{ 131 \pm 97.37 }{8}$

x = (131 + 97.38)/8
x = 28.55
x = (131 - 97.37)/8
x = 4.20

4.2 isn't going to work because the slower speed has to be larger than 5, otherwise you will get a negative speed (as this solution will give), so 4.20 is an extraneous solution.

r = 28.55 for the first part of the trip and
r = 23.55 for the second part of the trip.

Check.
Let's see if the times add up to 4
d/r = t
96/28.55 = 3.36
15/22.75 = 0.64

The times do = 4, so the rates are correct.

Answers
r1 = 28.55 for the 96 mile trip.
r2 = 23.55 for the 15 mile trip.

8 0

3 years ago

f(x)=2x. If g(x) is a vertical stretch, compression, and or reflection of f(x) followed by a, what is the equation of g(x)?

Montano1993 [528]

The function g(x) is g(x)= (3x)^2

<h3>How to solve for g(x)?</h3>

The complete question is in the image

From the graph in the image, we have:

f(x) = x^2

The function f(x) is stretched by a factor of 3 to form g(x).

This means that:

g(x) = f(3x)

So, we have:

g(x)= (3x)^2

Hence, the function g(x) is g(x)= (3x)^2

Read more about function transformation at:

brainly.com/question/10222182

#SPJ1

7 0

2 years ago

What is the sum of the measures of the interior angles of a 12-gon?

sukhopar [10]

Answer:

The answer is 1800!

Step-by-step explanation:

7 0

2 years ago