Answer:
y = x + 1
Step-by-step explanation:
The line y = x goes through the origin, and forms a perfect 45 degree angle with the x axis.
This is that same line, moved upward 1 unit, so the y value comes out 1 unit more.
Also, in y = mx + b form (slope-intercept form), we see slope m = 1 and y-intercept b = 1, so
y = 1x + 1 = x + 1
y = x + 1
Answer: 12.32%
Step-by-step explanation:
1.
is the original long side and
is the original short side.
2. The area of the original rectangle is
.
3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:

4. And the new short side is:

5. The new area is:

6. The percentage of increase is calculated by substracting the new area and the original area:

7. The result is:
(0.1232)(100)=12.32%
Answer:
1.7689 (rounded to 4 decimal places)
Step-by-step explanation:
Let the number we are seeking be "x", thus we can write the equation as:

Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:
![x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689](https://tex.z-dn.net/?f=x%5E%7B10%7D%3D300%5C%5C%5Csqrt%5B10%5D%7Bx%5E%7B10%7D%7D%20%3D%5Csqrt%5B10%5D%7B300%7D%20%5C%5Cx%3D%5Csqrt%5B10%5D%7B300%7D%20%5C%5Cx%3D1.7689)
hence, 1.7689 raised to 10th power will give us 300
The temperature at 9 am was -11 degrees.
We know that at 5 am, it was -7 degrees. Since the change of temperature is a negative number, then we subtract the absolute value of the change from -7. -7 - 3 = -10. Following this pattern, we then have:
-10 - 2 = -12 (6 am - 7 am)
-12 - 5 = -17 (7 am - 8 am)
-17 + 6 = -11 (8 am - 9 am, added since it was a positive change of temperature)
And our final answer is -11 degrees Fahrenheit.
Answer:
<em>k = - 7.5 </em>
Step-by-step explanation:
Slope "m" of a line through points
(
,
)
(
,
)
is m =
Slopes of perpendicular lines are opposite reciprocal:
= - 1
~~~~~~~~~~~~~~~
The slope of a line through points (0, 7) and (2, 10)
=
=
Slope of perpendicular line through points (3, 5) and (k, 12) is
=
or
=
=
2(k - 3) = - 21
k - 3 = - 10.5
<em>k = - 7.5</em>