An angle measures 85.8° less than the measure of its complementary angle. What is the measure of each angle?

1 answer:

8 0

Complementary angle: x + y = 90

90 - 85.8 = 4.2

Therefore, one of the angles is 85.8 and the other is 4.2

Hope this helps :)

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Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.

pochemuha

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - $\frac{b}{a}$ = $\frac{5}{2}$

product of roots = $\frac{c}{a}$ = - 3, then

sum of new roots = $\frac{1}{\alpha }$ + $\frac{1}{\beta }$

= $\frac{\beta+\alpha }{\alpha \beta }$

= $\frac{\frac{5}{2} }{-3}$ = - $\frac{5}{6}$

product of new roots = $\frac{1}{\alpha }$ × $\frac{1}{\beta }$

= $\frac{1}{\alpha\beta }$ = - $\frac{1}{3}$

Hence the required equation is

x² + $\frac{5}{6}$ x - $\frac{1}{3}$ = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

8 0

3 years ago

What is the slope-intercept equation of the line below?

yKpoI14uk [10]

Slope is known as rise over run. Because the line is pointing "\", it is negative.

The rise, the distance from one point to another, specifically from (0,4) to (1,1) is 3, as 4-1=3. your run is 1-0=1.

So your rise over run is -3/1 or, -3.

Your y-int is where when x=0, y=?

In this case y=4 when x=0.

Your equation is

y=-3x+4