Answer: x > 8
Step-by-step explanation: To solve the inequality x - 7 > 1, our goal is the same as it would be if we were solving an equation, to get <em>x</em> by itself on one side.
So here, since 7 is being subtracted from <em>x</em>, we need to add 7 to both sides of the inequality to get x > 8. We then write our answer in <em>set notation</em>, as the set of all x’s such that x > 8, shown below.
<h2>{x : x > 8}</h2>
It's important to understand that this solution set means that any number greater than 8 is a solution to this inequality.
For example, 9, 10, 28, 872, 642,000, and so on
are all solutions to this inequality.
Here you go !! answer is B
Answer:
UW = 36 units
Step-by-step explanation:
The question is incomplete. Here is the complete question
Point V lies between points U and W on Line segment U W. A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10. If UW = 9x – 9, what is UW in units?
If a point V lies between points U and W on line segment UW, then based on vector notation, UV + VW = UW.
Given parameters
The length between U and V i.e UV = 2x-4
The length between V and W i.e VW= 4x + 10.
UW = 9x – 9
Required
The length between U and W in units
Since UW = UV+VW, we will substitute the given functions into the formula as shown;
9x-9 = 2x-4+4x + 10.
9x-9 = 2x+4x-4+10
9x-9 = 6x+6
collect like terms on both sides;
9x-6x = 6+9
3x = 15
x = 15/3
x = 5
Substitute x = 5 into the function UW = 9x-9 to ge the length of UW in units.
UW = 9(5)-9
UW = 45-9
UW = 36 units
<em>Hence the required length between line segment U and W in units is 36units.</em>
Answer:
<h2>Algebra Examples</h2><h2>Popular Problems Algebra Solve Using the Quadratic Formula r^2-8r=0</h2><h2>r</h2><h2>2</h2><h2>−</h2><h2>8</h2><h2>r</h2><h2>=</h2><h2>0</h2><h2>r2-8r=0</h2><h2>Use the quadratic formula to find the solutions.</h2><h2>−</h2><h2>b</h2><h2>±</h2><h2>√</h2><h2>b</h2><h2>2</h2><h2>−</h2><h2>4</h2><h2>(</h2><h2>a</h2><h2>c</h2><h2>)</h2><h2>2</h2><h2>a</h2><h2>-b±b2-4(ac)2a</h2><h2>Substitute the values </h2><h2>a</h2><h2>=</h2><h2>1</h2><h2>a=1, </h2><h2>b</h2><h2>=</h2><h2>−</h2><h2>8</h2><h2>b=-8, and </h2><h2>c</h2><h2>=</h2><h2>0</h2><h2>c=0 into the quadratic formula and solve for </h2><h2>r</h2><h2>r.</h2><h2>8</h2><h2>±</h2><h2>√</h2><h2>(</h2><h2>−</h2><h2>8</h2><h2>)</h2><h2>2</h2><h2>−</h2><h2>4</h2><h2>⋅</h2><h2>(</h2><h2>1</h2><h2>⋅</h2><h2>0</h2><h2>)</h2><h2>2</h2><h2>⋅</h2><h2>1</h2><h2>8±(-8)2-4⋅(1⋅0)2⋅1</h2><h2>Simplify.</h2><h2>Tap for more steps...</h2><h2>r</h2><h2>=</h2><h2>4</h2><h2>±</h2><h2>4</h2><h2>r=4±4</h2>
Answer:
C
Step-by-step explanation:
i dont really know anything about angles but it looks like the 3x is the exact same angle as 30 degrees on the other side of it
3x=30
x=10
