All categories

3 years ago

Solve the equation using square roots. X^2+16=0

Mathematics

2 answers:

alexgriva [62]3 years ago

5 0

Answer:

<u>The answer is :</u>

Step-by-step explanation:

Let's solve the equation using square roots.

X^2+16=0

x² + 16 = 0

x² = -16 (Adding 16 at both sides of the equation)

√x² = i√16 (Square root to both sides of the equation)

x = +/- 4i (Roots of the solution)

bazaltina [42]3 years ago

4 0

Answer:

$\displaystyle 4i = x$

Step-by-step explanation:

$\displaystyle x^2 + 16 = 0 → \sqrt{-16} = \sqrt{x^2} \\ \\ 4i = x$

I am joyous to assist you anytime.

You might be interested in

Regular hexagon FGHIJK shares a common shares a common center with square ABCD on a coordinate plane .

timurjin [86]

Answer:

<h3>"The answer is the yellow lines in the attached figure. </h3>

Step-by-step explanation: As shown in the attached figure, regular hexagon FGHIJK and square ABCD shares common centre on the co-ordinate plane and AB || FG.

We are to find the line across which the combined figure will reflect onto itself.

In the attached figure, we see two lines which are yellow in colour. We can easily detect that the figure will be reflected onto itself if these two lines acts as a mirror separately.

Hence these yellow lines are the required lines."

<h3><u>Hope this helps!</u></h3>

6 0

3 years ago

Cora has a pink ribbon and a teal ribbon. The pink ribbon is 4 1/12 inches long. The teal ribbon is 8 5/12 inches longer than th

alexgriva [62]

Answer:

12 1/2

Step-by-step explanation:

3 0

3 years ago

Factoring polynomial 40a2 -32a

professor190 [17]

factor out 8a from the expression 8a(5a-4)

8 0

3 years ago

Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure o

suter [353]

Let the second angle be x.

Second angle = x
First angle = 3x - 6

The sum of the two angles is 180°
x + 3x - 6 = 180
4x - 6 = 180
4x = 186
x = 186 ÷ 4 = 46.5°

Second angle = 46.5°
First angle = 3(46.5) - 6 = 133.5°

Answer: The angles are 46.5° and 133.5°

7 0

3 years ago

Find the equation of the directrix of the parabola found in part A.

elena-s [515]

The specific equation of the parabola can be found by plugging the given

values of the variables of the general equation.

<h3>Correct Response;</h3>

$\displaystyle The \ equation \ of \ the \ parabolic \ reflector \ is; \ \underline{ y = \frac{1}{12} \cdot x^2}$

<h3>Method used to obtain the above equation;</h3><h3 /><h3>Given parameters;</h3>

The vertex of the parabola is at the origin with coordinates (0, 0)

The location of the focus = 3 cm from the vertex

<h3>Required:</h3>

The equation that models the parabola.

<h3>Solution:</h3>

The vertex form of the equation of a parabola is y = a·(x - h)² + k

The above equation can be expressed as (x - h)² = 4·p·(y - k)

Where in a vertical parabola;

(h + p, k) = The coordinates of the focus

(h, k) = The coordinates of the vertex = (0, 0)

p = 3 = The distance of the focus from the vertex

Therefore, the coordinates of the focus = (0 + 3, 0) = (3, 0)

The equation of the parabola is therefore;

(x - 0)² = 4×3 × (y - 0) = 12·y

x² = 12·y

$\displaystyle The \ equation \ of \ the \ parabola \ that \ models \ the \ reflector \ is; \ \underline{ y = \frac{1}{12} \cdot x^2}$

Learn more about the equation of a parabola here:

brainly.com/question/2131669

5 0

3 years ago