<span>First of all to calculate the distance between two points we can use distance formula
d=Square Root [(x2-x1)^2 + (y2-y1)^2]
Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula
The values are X2=3, X1=8and Y2=8and Y1=2.
After Substituting the values
d=Square Root[(-5)^2+(6)^2]
d=Square Root(25+36]
d=Square Root[61]
d=7.8
7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>
Answer:
Step-by-step explanation
x1 = 2, y1 = -2 and m = 3/4
y - y1 = m(x - x1)
y - (-2) = 3/4(x - 2)
y + 2 = 3/4(x - 2)
Multiply each term by 4
4y + 8 = 3(x - 2)
4y + 8 = 3x - 6
4y = 3x - 6 - 8
4y = 3x - 14
Let's solve your equation step-by-step.<span><span><span><span>−<span>7w</span></span>+17</span>−30</span>=31</span>Step 1: Simplify both sides of the equation.<span><span><span><span>−<span>7w</span></span>+17</span>−30</span>=31</span><span>Simplify: (Show steps)</span><span><span><span>−<span>7w</span></span>−13</span>=31</span>Step 2: Add 13 to both sides.<span><span><span><span>−<span>7w</span></span>−13</span>+13</span>=<span>31+13</span></span><span><span>−<span>7w</span></span>=44</span>Step 3: Divide both sides by -7.<span><span><span>−<span>7w/</span></span><span>−7</span></span>=<span>44/<span>−7</span></span></span><span>w=<span><span>−44/</span>7</span></span>Answer:<span>w=<span><span>−44/</span><span>7</span></span></span>