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Vladimir79 [104]

2 years ago

12

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1 answer:

Jlenok [28]2 years ago

5 0

Answer:

(x - $\frac{5}{2}$ )² + $\frac{7}{4}$

Step-by-step explanation:

x² - 5x + 8

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 5x

x² + 2(- $\frac{5}{2}$ )x + $\frac{25}{4}$ - $\frac{25}{4}$ + 8

= (x - $\frac{5}{2}$ )² - $\frac{25}{4}$ + $\frac{32}{4}$

= (x - $\frac{5}{2}$ )² + $\frac{7}{4}$

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Solve -2x + 6 = -20.<br><br> (A) -13<br> (B) 13<br> (C) -7<br> (D) 7

kow [346]

Answer: x=13

explanation:
-2x+6=-20
subtract 6 from both sides
-2x=-26
divide -2 by both sides
two negatives equals a positive
x=13

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3 years ago

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a box of cereal contains 23.4 ounces. It cost $5.49. What is the cost,to the nearest cent, of the cereal per ounce.

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There are some caps in a box. 1/6 of them are red, 1/3 are blue, and 3/7 of the remainder are green. If there are 27 green caps,

3241004551 [841]

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3 years ago

The difference of three times a number and six is nine

Artyom0805 [142]

Answer:

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Step-by-step explanation:

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3 years ago

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Sin0=12/37 find tan0

alexira [117]

Answer:

$\large{ \tt{❃ \: EXPLANATION}} :$

We're provide - Sin θ = $\frac{12}{37}$ which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = $\tt{ \frac{p}{h}}$ ] . We're asked to find out tan θ ].

$\large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} :$

$\large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}$

$\large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}$

$\large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}$

$\large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}$

$\large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}$

$\large{ \tt{ ⇢{b}^{2} = 1225}}$

$\large{ \tt{⇢ \: b = \sqrt{1225}}}$

$\large{ \tt{⇢ \: b = 35 \: \text {units}}}$

Now , We know - Tan θ= $\tt{ \frac{perpendicular}{base} }$ . Just plug the values :

$\large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}$

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5 0

3 years ago