Answer:
x is all real numbers
Step-by-step explanation:
6 + 5|2x -3| ≥ 4
The first step is to subtract 6 from each side
6 -6+ 5|2x -3| ≥ 4-6
5|2x -3| ≥ -2
Now divide each side by 5
5/5|2x -3| ≥ -2/5
|2x -3| ≥ -2/5
Absolute values are always positive. Our absolute value is greater than a negative number. It is always true. X can be any number and our absolute value will still be greater than -2/5.
x is all real numbers
Answer:
mRT = 4√13 ≈ 14.42
mST = 10√2 ≈ 14.14
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:
mTR:
12² + 8² = c²
144 + 64 = c²
c² = 208
c = √208 = 4√13
mST:
15² = 5² + b²
225 - 25 = b²
b² = 200
b = √200 = 10√2
To get your decimals, simply evaluate the square roots:
4√13 = 14.4222
10√2 = 14.1421
Step-by-step explanation:
66. Δy = -3.4 Δx
Δy/Δx = -3.4
The slope of the line is -3.4. Slope-intercept equation of the line is:
y = -3.4x + b
Plug in the given point to find b:
2 = -3.4(4) + b
b = 15.6
Therefore, the equation is y = -3.4x + 15.6.
Use the equation to find the y coordinates.
![\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5C%5C-4%2629.2%5C%5C4%262%5C%5C6%26-4.8%5C%5C18%26-45.6%5Cend%7Barray%7D%5Cright%5D)
68. Repeat the same steps as 66.
Δy = -1.7 Δx
Δy/Δx = -1.7
The slope of the line is -1.7. Slope-intercept equation of the line is:
y = -1.7x + b
Plug in the given point to find b:
3 = -1.7(-7) + b
b = -8.9
Therefore, the equation is y = -1.7x − 8.9.
Use the equation to find the x or y coordinates.
![\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5C%5C-19%2623.4%5C%5C-7%263%5C%5C-2.412%26-4.8%5C%5C3.2%26-14.34%5C%5C9.1%26-24.37%5Cend%7Barray%7D%5Cright%5D)
Answer:
3.48
Step-by-step explanation:
I took the test.
