You have to use the quadratic formula to solve this. The zeros of this quadratic are 2 + sqrt2/2 and 2 - sqrt2/2, which in "real" numbers is 1.707 and .2928
1+1+1+1×1×1+1+1+1+1+1+1+1+×1×1×1+1+1+1 = 14
To find the equation for this line, we are going to use point-slope form. First, to find the perpendicular slope, we need to find the slope of the line 4y=5x - 8. To do this, we must transform this equation into slope-intercept form so we can determine the slope.
4y=5x-8
We should divide both sides of the equation by 4 to put the equation into slope-intercept form.
4y/4 = 5x/4 - 8/4
y = 5/4x - 2
Therefore, we can determine that the slope of this equation is 5/4. The slope of the line perpendicular to this line has the opposite reciprocal slope. To find the opposite reciprocal of 5/4, we must make it negative and switch the numerator and the denominator. The opposite reciprocal of 5/4 is -4/5.
Now, we must use this slope and the point we were given, (-5, 4), to write a new equation.
y = m(x-h) + k
y = -4/5(x + 5) + 4
y = -4/5x - 4 + 4
y = -4/5x
Therefore, your answer is y = -4/5x.
Hope this helps!
Answer:
tan(x) = (√6)/2
Step-by-step explanation:
The tangent identity is ...
tan = sin/cos
<h3>Substitution</h3>
Substituting the given values of sine and cosine, we have ...
<h3>Simplification</h3>
At this point, it becomes a problem in simplifying a compound fraction. This can be done by dividing the fractions in the usual way, and cancelling common factors from numerator and denominator.
We note the denominators (55) are the same, and that 42=3·14, so we can simplify this to ...
The step of multiplying by (√6)/(√6) is for the purpose of "rationalizing the denominator," making the denominator a rational number: (√6)² = 6.
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<em>Additional comment</em>
If sin(x) = 42/55, then cos(x) = (√1261)/55. There is no angle x that will have these values of its trig functions. (Another example of poor curriculum editing.)
Alex has 175 and rodney has 3 times as much.
3 x 175 = 525
alex has 175 and rodney has 525
525 - 175 = 350
alex has 350 less baseball cards than rodney
hope this helped
