Answer:
y= 2x +6
Step-by-step explanation:
<u>Slope-intercept</u><u> </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Slope
= 2
y= 2x +c
y-intercept occurs at x= 0. Since we are given that the line passes through the coordinates (0, 6), the y-intercept is 6.
Thus, the equation of the line is y= 2x +6.
ANSWER: 40 deg.
EXPLANATION:
To find the measure of AC you multiply the corresponding central angle by 2 so (20*2).
BD is equivalent to AC; therefore, BD is 40.
Answer:
Step-by-step explanation:
We have the equation:
Let's simplify this a bit. Let . Then . We can substitute the exponents:
Use the properties of exponents, we can write . We can do the same thing on the right. So:
We can now factor out a from the left and a on the right. This yields:
Evaluate the expressions within the parentheses:
Evaluate:
Now, let's multiply both sides by . So:
Also, let's divide both sides by . Multiply on the right:
Therefore:
We can now substitute back u. Notice that 27 is the same as 3 cubed and 1000 is the same as 10 cubed. So:
Since they have the same base, their exponents must be equal. Therefore:
Add 2 to both sides:
So, the value of x is 5.
And we're done!
Answer:
Kate has changed the unit of measurement from centimeters to decimeters.
Step-by-step explanation:
Tony measures a drum stick and the length is measured to be 31 centimeters.
Now, Kate converts Tony's measurements and gets 3.1.
Now, we know that 10 centimeters are equivalent to 1 decimeter.
Hence, 1 centimeter will be equivalent to 0.1 decimeters.
And, 31 centimeters will be equivalent to 31 × 0.1 = 3.1 decimeters.
So, Kate has changed the unit of measurement from centimeters to decimeters. (Answer)