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2 years ago

Find the slope of the line perpendicular to the graph of y− 1/5 x=7 help due soon

Mathematics

1 answer:

Blababa [14]2 years ago

6 0

<h2>Answer:</h2>

Step 1: We need to covert the current equation to slope-intercept form*.

$y - \frac{1}{5}x = 7\\\\y = \frac{1}{5}x + 7$

Step 2: Now that we have our equation in slope-intercept form, we can determine the perpendicular slope of the line.

$\frac{1}{5} = \frac{5}{1} = 5 = -5$

Our new slope is now -5.

*Slope-intercept form: y = mx + b

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Step-by-step explanation:

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2 years ago

Evaluate f(x) = -4x + x2 + 16 for f(-4).

kipiarov [429]

Answer:

$f(-4)=48$

Step-by-step explanation:

Value of functions

To evaluate a function for a given value of x, we replace the x for the value and perform the resulting operations.

The given function is (corrected):

$f(x)=-4x+x^2+16$

We need to find f(-4), so we use x=-4:

$f(-4)=-4*(-4)+(-4)^2+16$

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3 years ago

I need help with questions #7 and #8 plz

katen-ka-za [31]

Answer:

7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg

8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg

Step-by-step explanation:

Law of Cosines

$c^2 = a^2 + b^2 - 2ab \cos C$

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.

Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.

We use the law of cosines to find C.

$18^2 = 12^2 + 16^2 - 2(12)(16) \cos C$