For two lines to be perpendicular, their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, in this case our reference line has a slope of -3 so:
-3m=-1 divide both sides by -3
m=-1/-3
m=1/3
So the perpendicular line will have a slope of 1/3
Answer:
x=2
Step-by-step explanation:
combine like terms to get 15x=30. divide by 15 on both sides to get x=2
Answer:
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
we have
using a graphing tool
see the attached figure
For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function
so
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
Let's solve your equation step-by-step.<span><span><span><span>2<span>x2</span></span>−<span>3x</span></span>−4</span>=0</span>Step 1: Use quadratic formula with a=2, b=-3, c=-4.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(<span>−3</span>)</span></span>±<span>√<span><span><span>(<span>−3</span>)</span>2</span>−<span><span>4<span>(2)</span></span><span>(<span>−4</span>)</span></span></span></span></span><span>2<span>(2)</span></span></span></span><span>x=<span><span>3±<span>√41</span></span>4</span></span><span><span>x=<span><span>34</span>+<span><span><span><span>14</span><span>√41</span></span><span> or </span></span>x</span></span></span>=<span><span>34</span>+<span><span><span>−1</span>4</span><span>√<span>41</span></span></span></span></span>
Answer:
D is the correct answer
Step-by-step explanation:
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