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3 years ago

Solve the formula D=2a+b for a in general

Mathematics

2 answers:

KiRa [710]3 years ago

5 0

Answer:

a = (D-b) / 2

Step-by-step explanation:

Goal : move "a" to the left side and everything else to the right side

D=2a+b (swap left and right sides)

2a + b = D (subtract b from both sides)

2a = D - b (divide both sides by 2)

a = (D-b) / 2 (answer)

My name is Ann [436]3 years ago

4 0

Step-by-step explanation:

A = <u>d - b</u>

That's the answer

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masya89 [10]

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3 years ago

A = 14.9 cm, b = 14.1 cm and C = 5.7 cm for the triangle shown below.

Kaylis [27]

Answer:

X is 22.5°

Step-by-step explanation:

» Let's assume our diagram is as above, from trigonometric ratio:

${ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\$

theta is X
opposite is a
hypotenuse is c

${ \tt{ \sin(x) = \frac{a}{c} }} \\ \\ { \tt{ \sin(x) = \frac{5.7}{14.9} }} \\ \\ { \tt{ \sin(x) = 0.3826}} \\ \\ { \tt{x = { \sin }^{ - 1}(0.3826) }} \\ \\ { \boxed{ \tt{x = 22.5 \degree}}}$

8 0

2 years ago

Solve the following equation. Remember to check for extraneous solutions 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

xxMikexx [17]

Answer:

-1, 2, 6

Step-by-step explanation:

We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

Now, we have, $\frac{1}{x-6} +\frac{x}{x-2} = \frac{4}{x^{2}-8x+12 }$

⇒ $\frac{(x-2)+x(x-6)}{(x-2)(x-6)} = \frac{4}{x^{2}-8x+12 }$

⇒ $\frac{x-2+x^{2}-6x }{(x-2)(x-6)} =\frac{4}{(x-2)(x-6)}$

⇒ $\frac{(x-2)(x-6)}{x^{2}-5x-2 }=\frac{(x-2)(x-6)}{4}$

⇒ $(x-2)(x-6)[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0$

⇒ $(x-2)(x-6) =0$ or, $[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0$

If, (x-2)(x-6) =0, then x=2 or x=6

If, $[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0$ , then $x^{2} -5x-2=4$

and (x-6)(x+1) =0

Therefore, x=6 or -1

So the solutions for x are -1, 2 6. (Answer)

4 0

4 years ago

Please please help me

Semenov [28]

X=3 because you subtract the three on both sides to get x alone. So you get: 7x=21 then you divide seven by 21 and get x=3

5 0

3 years ago

A triangle has one angle that measures 72 degrees and one angle that measures 18 degrees what kind of triangle is it

MariettaO [177]

Answer:

a rightangle triangle

Step-by-step explanation:

because 72+18=90 degrees

when a side is 90 degrees in a triangle, it is right-angled.

hope this helps you!!

7 0

3 years ago