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4 years ago

Solve for x. −23(3x−4)+3x=56 who ever solves right first gets brinlyest

Mathematics

1 answer:

Kobotan [32]4 years ago

6 0

Step 1: Simplify both sides of the equation.

−23(3x−4)+3x=56

(−23)(3x)+(−23)(−4)+3x=56(Distribute)

−69x+92+3x=56

(−69x+3x)+(92)=56(Combine Like Terms)

−66x+92=56

Step 2: Subtract 92 from both sides.

−66x+92−92=56−92

−66x=−36

Step 3: Divide both sides by -66.

−66x /-66= -36/-66

x= 6/11

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Identify the values of the variables. Give your answers in the simplest radical form.

Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

$sin(60) = \frac{9}{k}$

Multiply both sides by k

$k*sin(60) = 9$

Divide both sides by sin(60)

$k = \frac{9}{sin(60)}$

$k = \frac{9}{\frac{\sqrt{3}}{2}}$

$k = 9*\frac{2}{\sqrt{3}}$

$k = \frac{18}{\sqrt{3}}$

Rationalize

$k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{18\sqrt{3}}{3}$

$k = 6\sqrt{3}$

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

$tan(60) = \frac{9}{f}$

Multiply both sides by f

$f*tan(60) = 9$

Divide both sides by tan(60)

$f = \frac{9}{tan(60)}$

$k = \frac{9}{\sqrt{3}}$

Rationalize

$k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{9\sqrt{3}}{3}$

$k = 3\sqrt{3}$

8 0

3 years ago

Points D and E are midpoints of the sides of triangle ABC. The perimeter or the triangle is 48 units. What is the value of t?

Komok [63]

Answer:

2 units

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangle are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Since point D and E are midpoints of the sides of triangle ABC, hence:

AD = BD = 3t, BE = CE = 4t, AC = 7t + 6

The perimeter of triangle ABC = AC + BC + AB = AC + AD + BD + BE + CE;

Substituting:

48 = 7t + 6 + 3t + 3t + 4t + 4t = 21t + 6

48 = 21t + 6

21t = 42

t = 2 units

8 0

3 years ago

PLz help!

zavuch27 [327]

Let red cars are x then white car will be 2x+3, D

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4 years ago

Use absolute value to express the distance between −12 and −15 on the number line.

Maurinko [17]

I am sorry math is not my strong suit

4 0

3 years ago

Read 2 more answers

How do you write 10 times the square root of 13

Nostrana [21]

You can use the symbol over 13 or you can write it like

10 square root (13)

The answer to that is 36.0555127546

Hope this helps!

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3 years ago