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Daniel [21]
2 years ago
6

*BRAINLIEST* (EASY QA: Warm UP) Find a positive solution to each equation: x2 = 1/4

Mathematics
2 answers:
Kay [80]2 years ago
6 0

Answer:

C. x = 1/2

Explanation:

\sf \rightarrow x^2 = \dfrac{1}{4}

\sf \rightarrow x=\sqrt{\dfrac{1}{4}},\:x=-\sqrt{\dfrac{1}{4}}

\sf \rightarrow x=\dfrac{1}{2},\:x=-\dfrac{1}{2}

<u>As asked for positive solution (+)</u>

\sf \rightarrrow \sf \rightarrow x=\dfrac{1}{2}

Georgia [21]2 years ago
4 0

\qquad\qquad\huge\underline{{\sf Answer}}

\textbf{Let's get it solved :}

  • \sf{x² = \dfrac{1}{4}}

  • \sf{x = \sqrt{\dfrac{1}{4}}}

  • \sf{x= \pm{\dfrac{1}{2}}}

  • \sf{x ={\dfrac{1}{2}} }

\textsf{[ since we need positive solution ]}

\textsf{Correct choice is C}

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The organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet. If the length lof the garden is 24 fe
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8 0
3 years ago
Show work please! I don't understand how to get this answer! I will give brainliest to the best answer!
Marina86 [1]

Answer:

(x,y,z) = (2,-2,1)

Step-by-step explanation:

Three equations with three variables are given. Take two equations at a time to eliminate one variable.

                      x + y - z = -1                       .....(1)

                   4x -3y + 2z = 16                   .....(2)

                    2x - 2y - 3z = 5                   ......(3)

Solve (1) and (3) to eliminate z.

To do that multiply (1) by 2 and add (1) and (2). We get:

                        4x - 5z = 3                       ......(4)

Now, solve (2) and (3) and subtract them. We get:

                        2x + 13z = 17                    ......(5)

Solve (4) and (5). Multiply (5) by 2 and subtract. We get:

                                        z  = 1

Substituting z = 1, in (4) we get:  x = 2.

Now to find y, substitute values of x and y in (1).

⇒ x + y - z = -1 ⇒ 2 + y - 1 = -1

⇒ y = -2

∴ Values of (x, y, z) = (2, -2, 1).

4 0
3 years ago
The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December
olasank [31]

The graph is missing, so i have attached it;

Answer:

Constant of proportionality = 0.75

Step-by-step explanation:

From the graph attached, we are given 3 coordinate points of (x, y) namely;

(120, 90), (250, 187.5), (400, 300)

Now, constant of proportionality for each coordinate point is simply;

k = y/x

Thus, for first coordinate point (120, 90),

k1 = 90/120

k1 = 0.75

For 2nd coordinate point (250, 187.5),

k2 = 187.5/250

k2 = 0.75

For third coordinate point (400, 300),

k3 = 300/400

k3 = 0.75

From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.

6 0
2 years ago
How many cubic yards of concrete are in a light pole caisson having a diameter of 24 inches and a
lesya [120]

Answer:

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Step-by-step explanation:

<u>Find the volume of cylinder:</u>

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<u>Convert the dimensions into yards:</u>

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<u>Find the volume by substituting the values:</u>

  • V = 3.14*(1/3)²*2 = 0.69777 ≈ 0.7 yd³

Correct choice is C

3 0
2 years ago
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