18. Without solving the radical equation VX + 5 + 9 = 0, how could you tell that it has no real solution?

Answer:  (2x - 3)(x + 8)

Step-by-step explanation:

2x² + 13x - 24 = 0, where is equal ax² + bx + c = 0 form. We get a = 2, b = 13, c = -24.

When a is not equal to 1, we multiply a and c. ac = 2(-24) = -48.

b in the equations means that the sum of two factor of ac is equal to 13. Then we need to find which two factor is add up to 13. In this case, we get -3 and 16.

2x² + 13x - 24 = 0

2x² + 16x - 3x - 24 = 0

2x(x + 8) - 3(x + 8) = 0

(2x - 3)(x + 8) = 0

Answer: x = -8, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

       This is a quadratic equation since it is in ax² + bx + c = 0 form! We will use the formula and use PEMDAS, the order of operations, while solving as well.

       The quadradic formula, then plugging in to solve:

(please note before the square root is a ± sign. Brainly text editor will not allow me to add it)

[tex]x = \frac{-b\sqrt{b^{2} -4ac } }{2a}[/tex]

[tex]x = \frac{-13\sqrt{13^{2} -4(2)(-24) } }{2(2)}[/tex]

[tex]x = \frac{-13\sqrt{169 -4(2)(-24) } }{4}[/tex]

[tex]x = \frac{-13\sqrt{169 +192 } }{4}[/tex]

[tex]x = \frac{-13\sqrt{361 } }{4}[/tex]

Now it breaks into two parts:

[tex]x = \frac{-13-19}{4}[/tex]       and       [tex]x = \frac{-13+19}{4}[/tex]

[tex]x = \frac{-32 }{4}[/tex]                  [tex]x = \frac{6}{4}[/tex]

x = -8, x = [tex]\frac{3}{2}[/tex]

Answer:

[tex]6\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]2\frac{7}{10}[/tex] + [tex]4\frac{1}{10}[/tex] = ( 2 + 4 ) + ( [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{10}[/tex] ) = 6 [tex]\frac{7+1}{10}[/tex] = 6 [tex]\frac{8}{10}[/tex] = [tex]6\frac{4}{5}[/tex]

Answer:

B

Step-by-step explanation:

5 × pi ÷12 = 75 degrees

this is essentially cos75

= cos(30 + 45)

then we use the identities to solve.

the answer will = to 0.2588

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

[tex]\tan{16^\circ} = \frac{1}{x_1}[/tex]

[tex]x_1 = \frac{1}{\tan{16^\circ}}[/tex]

[tex]x_1 = 3.5[/tex]

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

[tex]\tan{74^\circ} = \frac{1}{x_2}[/tex]

[tex]x_2 = \frac{1}{\tan{74^\circ}}[/tex]

[tex]x_2 = 0.3[/tex]

The distance is:

[tex]d = x_1 - x_2 = 3.5 - 0.3 = 3.2[/tex]

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

1 is 13480851.0638

2 is 20438709.6774

3 is 5812844.0367

Step-by-step explanation:

Answer:

Sam is correct

Step-by-step explanation:

The third side is the one with greatest length. To make a triangle the other two lengths have to be greater than the greatest one when combined.

Hope this Helps.

Answer:

Mike is correct

Step-by-step explanation:

because it has three different side

Answer:

The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.

Step-by-step explanation:

Answer:

87%

Step-by-step explanation:

435 students who voted for athlete               87

___________________________       =     ____         or 87%

          500 total students                                100

Answer:

2(3-√13) is the answer

Step-by-step explanation:

Given that,

x = \frac{3 - \sqrt{13} }{2}

or, \frac{1}{x} = \frac{2}{3 - \sqrt{13} } (Taking reciprocal on both sides)

We know that,

(a + b)² = a² + b² + 2ab

or, (x \ + \frac{1} {x})^{2} = {x}^{2} + \frac{1}{x {}^{2} } + 2

or, {x}^{2} + \frac{1}{x {}^{2} } = (x \ + \frac{1}{x })^{2} - 2

Now,

or, {x}+ \frac{1}{x } = \frac{3 - \sqrt{13} }{2} + \frac{2}{3 - \sqrt{13} }

or, (3 - \sqrt{13 {})^{2} } + 4

2(3-√13) is the answer

If you didn't understand the frac etc... then I'll attach the f ans file.

Answer:

133 degrees

Step-by-step explanation:

Supplementary angles equal 180.

the 1st angle is 180, so we do:
180-47
the answer is 133

The value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

By right-angled triangle, we can find the trigonometric function from the sides of the triangle.

sin x = perpendicular/ hypotenuse

cos x = base/ hypotenuse

sec x = hypotenuse /base

From a triangle ABC of base 4, perpendicular 3, and hypotenuse 5, we get

sin a = perpendicular/ hypotenuse

        = 3/5

cos a = base/ hypotenuse

         = 4/5

sec a = hypotenuse /base

        = 5/4

Hence, the value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

Learn more about trigonometry;

https://brainly.com/question/26719838

Answer:

[tex]1.76[/tex] days

Step-by-step explanation:

**Note this propably is not what you are looking for but it gets you the final answer.**

Given the eqaution [tex]y=9^{5x}[/tex]

Lets solve for x.

Step 1.

Rewirte the equation as [tex]y=a^{bx}[/tex]. Where [tex]a=9[/tex]  and [tex]b=5[/tex].

Step 2.

Take the natural logarithm of both sides. Then rewrite the left hand side using properties of exponents/logarithms.

[tex]ln(y)=b*x*ln(a)[/tex]

Step 3.

Divide both sides of the equation by [tex]b[/tex]

[tex]\frac{ln(y)}{b} =x*ln(a)[/tex]

Step 4.

Divide both sides of the equation by [tex]ln(a)[/tex]

[tex]\frac{ln(y)}{b*ln(a)} =x[/tex]

Now we have our equation to solve for the number of days.

Step 5.

Plug [tex]9[/tex] back in for [tex]a[/tex]  and [tex]5[/tex] back in for [tex]b[/tex].

[tex]\frac{ln(y)}{5*ln(9)} =x[/tex]

Step 6.

We are given 243 million for [tex]y[/tex].

Lets plug in 243 million.

[tex]\frac{ln(243,000,000)}{5*ln(9)} =x[/tex]

Step 7.

Solve for x.

[tex]x=1.7575419...[/tex]

Lets round to the hundreth's place.

[tex]x=1.76[/tex]

1.76 days

Answer:

If you need what x equals its -16

x = -16

Explanation:

[tex]\rightarrow \sf \dfrac{1}{4} x - 6=-10[/tex]

collect variables

[tex]\rightarrow \sf \dfrac{1}{4} x =-10+6[/tex]

simplify

[tex]\rightarrow \sf \dfrac{1}{4} x =-4[/tex]

cross multiply

[tex]\rightarrow \sf x=-4*4[/tex]

final answer

[tex]\rightarrow \sf x=-16[/tex]

Answer:

total 6

even 2, 4, 6

even or less than 4: 2, 4

p = 2/6 = 1/3

brainliest?

Answer:

 you would  have 84-.10 I think

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

if angle 3 is 135 the angle 2 is 45 and angle 2 is equal to angle 4 which is 45°

Answer:

16000280

Step-by-step explanation:

hope this helps.

Answer:  Yes

Step-by-step explanation:

I hope this makes sense!  : )

Answer:

2

Step-by-step explanation:

The graient is 2 as gradient = diffrence of y/diffrence in x

x,y

take two points 1,0 and 2,2 and put them into the equation

2-0/2-1 = 2

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2

Answer:

62.5 J

Step-by-step explanation:

Formula

Given :

Solving

The work done with the given force and distance is 62.5 Newton meter.

The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.

Given that, force = 25 N weight and distance = 2.5 meters

We know that, work = Force×Distance

Here, work = 25×2.5

= 62.5 Newton meter

Therefore, the work done is 62.5 Newton meter.

To learn more about the time and work visit:

https://brainly.com/question/3854047.

#SPJ7

Using the slope concept, supposing the horizontal distance is of 1500 feet, the angle of depression will be of 37º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we suppose an horizontal distance of 1500 feet, with a vertical distance of 2000 feet, hence:

[tex]\tan{\alpha} = \frac{1500}{2000}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{1500}{2000}\right)}[/tex]

[tex]\alpha = 37^\circ[/tex]

The angle of depression will be of 37º.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

4:1

Step-by-step explanation:

Answer:

(D) 29.3

Step-by-step explanation:

The answer is all the days added together and then divided by 10.

20+30+40+38+25+22+39+22+26+31=293.

293/10=29.3

Answer:

a = 51°

b = 67°

Step-by-step explanation:

Angle a is equal to 51 since it is vertically opposite to the angle on top of it.

Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:

a+b+62=180

51+b+62=180

b= 180-(51+62)

b= 180-113

b= 67

Answer:

Slope intercept form does not dictate whether or not a function is linear. What determines if a function is linear is if there is one independent variable, one dependent variable, and it makes a STRAIGHT line. This function is linear because there are only 2 variables and a horizontal line.

Levi could have determined that the graph was linear by checking the conditions stated above or graphing it out. Then, he would see that y = 2 is a straight horizontal line with an independent and dependent variable.

Hope this helps!

Answer:

About 29 feet.

Step-by-step explanation:

tan 60 = 50 / h

h = 50/ tan 60

= 28.87 ft

Answer: 5 ft

Step-by-step explanation: A = bh h = A/b 85/17 = 5