Answer:
m<3 = 66°
Step-by-step explanation:
<3 is an angle with its vertex inside the circle shown in the diagram. This, it's an internal angle.
The measure of an internal angle is equal to half the sum of the measure of the arcs intercepted.
Thus, the equation that shows relationship between <3 and arc WX and arc YZ is shown below:
m<3 = ½(40 + 92)
m<3 = ½(132)
m<3 = 66°
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:

To find the inverse of f(x) , equate f(x) to y
That's
y = f(x)
We have

Next interchange the terms that's x becomes y and y becomes x

<u>Next solve for y</u>
Move 3 to the other side of the equation
That's

<u>Divide both sides by 25</u>

We have the final answer as

Hope this helps you
Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A quadratic equation is given to us.
- The equation is 2x² + 7x +6=0
And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,
<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>
Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>
We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .
- And 3 + 4 = 7. So we will break the middle term into 3x and 4x .
Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>
Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>
Step 4 : <u>Equate </u><u>them </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence </u><u>the</u><u> </u><u>correct</u><u> </u><u>options </u><u>are </u><u>C </u><u>and </u><u>D </u><u>.</u>
Answer:
Sometimes
Step-by-step explanation:
When x is a nonzero integer, then x can be
If x is negative, then
is positive (multiplying negative number by -3 you get positive number).
If x is positive, then
is negative (multiplying positive number by -3 you get negative number).
So, the statement "When x is a nonzero integer, the quantity -3x will be negative" is sometimes true.
Slope is 1/3 for both triangles