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AleksAgata [21]
3 years ago
12

4x+1=2x-5 show all steps and solve for x

Mathematics
2 answers:
boyakko [2]3 years ago
8 0

Answer:

x = -3

Step-by-step explanation:

4x + 1 = 2x - 5

~Subtract 1 to both sides

4x = 2x - 6

~Subtract 2 to both sides

2x = -6

~Divide 2 to both sides

x = -3

Best of Luck!

VashaNatasha [74]3 years ago
7 0

Final Answer: x = -3

Steps/Reasons/Explanation:

Question: Solve 4x + 1 = 2x - 5.

<u>Step 1</u>: Subtract 2x from both sides.

4x + 1 -2x = -5

<u>Step 2</u>: Simplify 4x + 1 - 2x to 2x + 1.

2x + 1 = -5

<u>Step 3</u>: Subtract 1 from both sides.

2x = -5 - 1

<u>Step 4</u>: Simplify -5 - 1 to -6.

2x = -6

<u>Step 5</u>: Divide both sides by 2.

x = -\frac{6}{2}

<u>Step 6</u>: Simplify -\frac{6}{2} to -3.

x = -3

~I hope I helped you! :)~

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guajiro [1.7K]

Answer:

B) x = \sqrt{60}

Step-by-step explanation:

1. As you can see from the image, there are two right triangles in the isosceles triangle. The base of each right triangle is 2 (because 4 ÷ 2 = 2), and the hypotenuse is 8.

2. Let's use Pythagorean Theorem to find the height of each right triangle, which will also give us the height of the isosceles triangle: a^2 + b^2 = c^2, where a = height, b = base, and c= hypotenuse.

  • a^2 + 2^2 = 8^2
  • a^2 + (2*2) = (8*8)
  • a^2 + 4 = 64 (Simplify both sides of the equation)
  • a^2 + 4 - 4 = 64 - 4 (Subtract 4 from both sides)
  • a^2 = 60
  • \sqrt{a^2} = \sqrt{60} (Take square root of both sides
  • a = \sqrt{60}

3. The√(60) is the height of each right triangle, and it's also the height of the isosceles triangle. Therefore, the answer is B) x = √60.

8 0
3 years ago
Which is the equation of a line that has a slope of -2/3 and passes through point (–3, –1)?
emmainna [20.7K]

Answer:

y = (-2/3)x-3

Step-by-step explanation:

Hello:

equation is the line is : y = ax+b        a is a slope

y = (-2/3)x+b

passing through the point (−3;−1) :   -1 =(-2/3)(-3)+b    so : b = -3

y = (-2/3)x-3

second solution : you can verify (-3 ; -1) in the equation : y = (-2/3)x-3

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3 years ago
It takes Sam 5/8 days to drive to his aunt's house. He has now been driving for 3/8 days.
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Answer:

He needs to drive for 2 more days to get to his aunt's house.

Step-by-step explanation:


6 0
3 years ago
If anyone can help me with this then thank you. :)
Andreyy89

Answer:

steps below

Step-by-step explanation:

(a) first green: 8/23 AND 2nd green: 7/22

AND: multiplication.. 8/23 x 7/22 = 28/253 ≈ 0.11 (11%)

(b) 15/23 x 8/22

4 0
2 years ago
Find the volume of this sphere. Please help
natulia [17]

Hello there!

We've already given the formula so I will not be adding it here.

We are also given that π = 3 for this problem.

r is defined as 'radius'

Radius is a point from center to one of endpoints.

Look at the image, the radius is given as 7cm.

From the information we gathered:

  • π = 3
  • r = 7

Substitute in the formula.

\displaystyle \large{ V = \frac{4}{3} (3) {(7)}^{3} }

Cancel 3 out.

\displaystyle \large{ V = 4{(7)}^{3} }

Evaluate 7^3

\displaystyle \large{ V = 4(343) }

Multiply

\displaystyle \large{ V = 1372 }

Therefore, the volume is 1372.

Let me know if you have any questions!

Topic: Surface Area and Volume - Sphere's Volume

8 0
3 years ago
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