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lyudmila [28]
3 years ago
14

What are the solution(s) of the quadratic equation 98 – x2 = 0? x = x = x = no real solution

Mathematics
2 answers:
Harman [31]3 years ago
8 0

Answer:

Given the equation:

98-x^2 = 0

Subtract 98 from both sides we have;

-x^2 = -98

Multiply both sides by -1 we get;

x^2 = 98

Taking square root both sides we have;

x = \pm \sqrt{98}= \pm \sqrt{49 \cdot 2}

Simplify:

x = \pm 7\sqrt{2}

Therefore, the solutions of the quadratic equation are:

x = 7\sqrt{2} and x =-7\sqrt{2}

Svet_ta [14]3 years ago
7 0
I hope this helps you

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PLEASE PLEASE HELP!!!GIVING BRAINLEIST!! RESPOND IN 5 MIN FOR POINTS!!❤️
Mamont248 [21]

Step-by-step explanation:

The error carolyn has made is that she hasn't subtracted properly.

2x + 3y - (2x +6y) = 2x - 2x + 3y - 6y = -3y.

Carolyn probably didn't use parentheses...

To do the thing in substitution, we single out x or y in any equation. In this case, i'm gonna single out the x in the 2nd eqn. In other words, i'll make x the subject of the 2nd eqn.

2x + 6y = 10

2x         = 10 - 6y

x           = 5 - 3y

Now we simply plug in 5 - 3y wherever x apperas in the 1st equation.

2 (5-3y) + 3y = 8

10 - 6y + 3y   = 8

10 - 3y           = 8

-3y                 =  -2

y                    = 2/3

Then x = 5 - 3*2/3 = 3

x=3

y=2/3

Hope it helps:)              

8 0
3 years ago
What is the value of the expression?<br><br> [(1+5)⋅2−5]⋅2
liberstina [14]
USE PEMDAS ( parenthesis, exponents, multiplication, division, addition, subtraction)

[(1+5)⋅2−5]⋅2
[6⋅2−5]⋅2
[12−5]⋅2
7⋅2
14

The answer is: 14
8 0
3 years ago
Sam complete 3 math problems in 8 minutes. How long will it take to do 15 problems?
pochemuha

Answer:

40 minutes

Step-by-step explanation:

 Math Problems                   3              15

 ----------------------                  -----     =    ------

       Minutes                          8              x

                                             3x = 15 * 8

                                               x = 15 * 8 / 3

                                               x = 120 / 3

                                               x = 40

                                                  40 Minutes

8 0
3 years ago
The cylinder shown has a volume of π in3. Find the volume of a cone with the same base and height as the cylinder
Luden [163]
The volume would be 1/3π in³.

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
7 0
3 years ago
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle
gogolik [260]

Answer:

Option B.

Step-by-step explanation:

If two lines are parallel then their slopes are always same.

Following this rule we can find the slope by the given pairs of coordinates of the options.

If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.

Slope of y - axis = ∞

Option A). Slope = \frac{y-y'}{x-x'}

                            =  \frac{24-8.5}{3.22-3.2}

                            = \frac{15.5}{0.02}

                            = 775

Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.

Option B). Slope of the line passing through (\frac{40}{3},\frac{14}{3}) and (\frac{40}{3},7) will be

= \frac{\frac{14}{3}-7}{\frac{40}{3}-\frac{40}{3}}

= ∞

Therefore, line passing though these points is parallel to the y axis.

Option C). Slope of the line passing through (2.9,5.4) and (7.2, 5.4)

= \frac{5.4-5.4}{7.2-2.9}

= 0

Therefore, slope of this line is not equal to the slope of y axis.

Option B. is the answer.

5 0
3 years ago
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