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2 years ago

20 points if you answer this question

Mathematics

1 answer:

Svetllana [295]2 years ago

7 0

Answer:

∠ KLJ = 70°

Step-by-step explanation:

The segment KL joins the midpoints of 2 sides of the triangle and is therefore parallel to the third side HG , then

∠ KLJ and ∠ HGL are corresponding angles and are congruent , so

∠ KLJ = 70°

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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

Arjun solved the equation 7·m=56 His work is shown. What error did Arjun make?

natulia [17]

He multiplied rather than dividing.

$\mathrm{Divide\:both\:sides\:by\:}7 \ \textgreater \ \frac{7m}{7}=\frac{56}{7} \ \textgreater \ Simplify \ \textgreater \ m = 8$

Hope this helps!

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2 years ago

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13+(3+7)=(13+3)+7 what property is that

Reil [10]

Answer: Associative property

Step-by-step explanation:

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3 years ago

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PLZ HELP ME:Evaluate: What is the value of the expression -5(3 + 4)?

almond37 [142]

Answer:

-35

Step-by-step explanation:

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Dahasolnce [82]

Answer:

2c+4d

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2(8)+4(5)

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Step-by-step explanation:

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2 years ago

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