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Alecsey [184]
2 years ago
5

A Mater Exam

Mathematics
1 answer:
astraxan [27]2 years ago
3 0

Answer:

The slope of the perpendicular line to the line is

m   = \frac{-1}{2}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the line y =f(x) = 2x +6

                           ⇒  y = 2x +6

 comparing             y =mx +c

The slope of the given line   m =2

<u><em>Step(ii):- </em></u>

The slope of the perpendicular line   = \frac{-1}{m}

The slope of the perpendicular line   = \frac{-1}{2}

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the equation 7x - 3y = 42 relates to x and y. find three pairs of points (x,y) that make the equation true.
Sloan [31]
If it doesn't matter whether the points are integers or not you can just pick a number for either y or x and solve for the other variable. For example, if you pick 3 to be your x, plug it in and then solve for y. Start out with: 7x-3y=42 Plug in 3 for x: 7(3)-3y=42. Then, 21-3y=42. Subtract 21 from both sides and then divide by -3 on both sides. You end up with y=-7 so one of your points is (3, -7)
3 0
3 years ago
Please helppppppp ❤️
liberstina [14]

Answer:

Inverse of f exists.

Step-by-step explanation:

From the graph attached,

If we do the horizontal line test for the function graphed,

We find the function as one to one function.

In other words for every input value (x-value) there is a different output value.

Since, for one-to-one functions, inverse of the functions exist.

Therefore, the answer will be,

The inverse of 'f' exists.

7 0
3 years ago
If a triangle has side lengths 7, 10, and 12, is it a right triangle??
Vesnalui [34]

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, a^2 + b^2 = c^2

                 where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, 7^2 + b^2 = 12^2 or 10^2 + b^2 = 12^2

7^2 + b^2 = 12^2 ==> 49 + b^2 = 144 ==> <u>b= </u>\sqrt{95<u> ==> </u><u>9.746</u>

b= 9.7, not 10.

10^2 + b^2 = 12^2 ==> 100 + b^2 = 144 ==> <u>b = </u>\sqrt{44<u> ==> </u><u>6.633 </u>

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

5 0
3 years ago
Help ASPP<br><br>-3/5 x = 18 <br>-30<br>-10 4/5<br>10 4/5<br>30​
kompoz [17]

Answer:

-30

Step-by-step explanation:

move and divide -3/5 to the right side

-3/5x = 18

x=18÷(-3/5)

x= -30

5 0
2 years ago
What is the difference for -22 - (-26)​
Alenkasestr [34]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
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