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antoniya [11.8K]
3 years ago
11

Use the square root method to find the solutions to the quadratic equation 22

Mathematics
1 answer:
lakkis [162]3 years ago
5 0

Answer:

x = 2\sqrt{2}, -2\sqrt{2}

Step-by-step explanation:

Given

x^2 - 8 = 0

Required

Solve

We have:

x^2 - 8 = 0

Add 8 to both sides

x^2 = 8

Take square roots of both sides

x = \±\sqrt{8}

Expand

x = \±\sqrt{4*2}

This gives:

x = \±2\sqrt{2}

Split

x = 2\sqrt{2}, -2\sqrt{2}

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Express -2(x - y) -10 = 0 in standard form.
goldenfox [79]

Answer:

2x - 2y = - 10

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

- 2(x - y) - 10 = 0 ← distribute parenthesis on left side

- 2x + 2y - 10 = 0 ( add 10 to both sides )

- 2x + 2y = 10 ( multiply through by - 1 )

2x - 2y = - 10 ← in standard form

8 0
3 years ago
Which statement is true about the graph of the equation 2x + y - 5 = 0?
IgorLugansk [536]
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8 0
3 years ago
Divide, write your answer in simplest form<br><br> 4 divide 4/9
adell [148]
4 divide 4/9
4 times 9/4
= 9
5 0
4 years ago
Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value?
AURORKA [14]

Answer:

(9, 0)

Step-by-step explanation:

Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).

Substitute (0, 8) in the objective function.

We get P = 3(0) + 2(8) = 16

Now for (x , y) = (5, 4)

P = 3(5) + 2(4) = 15 + 8 = 23

At (9, 0) we get P = 3(9) + 2(0) = 27.

Clearly, we have the maximum value at (9, 0).

And the maximum value is 27.

3 0
3 years ago
What is the height of a trapazoid with an area of 9m squared and bases that measure 2.4 m and 3.6 m
kifflom [539]
The formula of the area of a trapezoid is equal to:
Area = (a+b) / 2 * h

Substituting the values.
9 = (2.4 + 3.6) / 2 * h
9 = 6 / 2  h
9 = 3h
h = 3

So the height of the trapezoid is equal to 3m.
5 0
3 years ago
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