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2 years ago

Solve x2 = −49 by using square roots.

Mathematics

2 answers:

Grace [21]2 years ago

8 0

Answer is B, There are no real solutions

X=7i, -7i

sineoko [7]2 years ago

8 0

Answer:

Option B, There are no real solutions

Step-by-step explanation:

<u>Step 1: Square root both sides</u>

$x^2 = -49$

$\sqrt{x^2} = \sqrt{-49}$

Since we are trying to square root a negative it would cause imaginary solutions so in conclusion we have no real solutions.

Answer: Option B, There are no real solutions

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3 years ago

1/2 log2x=3log23 rewrite with out using logarithmic

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Answer:

729

Step-by-step explanation:

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2 years ago

Salazar is driving 70 miles per hour. At this rate, how long will it take for him to travel 840 miles?

Kisachek [45]

Answer:

12 hours

Step-by-step explanation:

Step 1:

70 : 1 Ratio

Step 2:

70 : 1 = 840 : x Equation

Step 3:

840 = 70x Multiply

Step 4:

x = 840 ÷ 70 Divide

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4 0

3 years ago

A student solved 3/x−4=x/7 in six steps, as shown.

Stolb23 [73]

Answer:

Option A.

Step-by-step explanation:

The given equation is

$\dfrac{3}{x-4}=\dfrac{x}{7}$

Step 1: Multiply both sides by (x-4).

$3=\dfrac{x(x-4)}{7}$

Step 2: Multiply both sides by 7.

$21=x(x-4)$

Step 3: Using distributive property.

$21=x^2-4x$

Step 4: Isolate all terms on one side.

$0=x^2-4x-21$

Step 5: Find factors by splitting the middle term.

$0=x^2-7x+3x-21$

$0=x(x-7)+3(x-7)$

$0=(x-7)(x+3)$

Step 6: Using zero product property, we get

$x=-3, x=7$

It means student solved the equation correctly.

Therefore, the correct option is A.

5 0

3 years ago

Read 2 more answers

A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght

never [62]

Answer: $\frac{17}{2}m^2+m-5$

Step-by-step explanation:

By definition, the perimeter of a rectangle is:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

If you solve for "l":

$P-2w=2l\\\\l=\frac{P-2w}{2}$

In this case, you know that the following expression represents the perimeter of the rectangle:

$19m^2+2m-10$

And the width of that rectanle is represented wih this expression:

$m^2$

Therefore, based on the explained above, you can conclude that the lenght of that rectangle is given by:

$\frac{19m^2+2m-10-2(m^2)}{2}$

Finally, simplifying the expression, you get:

$=\frac{17m^2+2m-10}{2}=\frac{17}{2}m^2+m-5$

8 0

3 years ago