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3 years ago

The product of the roots of x² + 6x - 55 = 0 is:

Mathematics

2 answers:

Irina18 [472]3 years ago

8 0

Roots are: -11, 5.
Product of them: (-11)*(5) = -55.

Inessa05 [86]3 years ago

5 0

The roots of x^{2} 6x-55=0 the answer is going to be

the roots is going to 3[1980/6}
x= 2.09284539

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Right triangle XYZ has right angle Z. If the sin(X)=1213 , what is the cos(X)

AlekseyPX

Given:

Right triangle XYZ has right angle Z.

$\sin(x)=\dfrac{12}{13}$

To find:

The value of $\cos x$ .

Solution:

We know that,

$\sin^2(x)+\cos^2(x)=1$

$\cos^2(x)=1-\sin^2(x)$

$\cos(x)=\pm\sqrt{1-\sin^2x}$

For a triangle, all trigonometric ratios are positive. So,

$\cos(x)=\sqrt{1-\sin^2x}$

It is given that $\sin(x)=\dfrac{12}{13}$ . After substituting this value in the above equation, we get

$\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}$

$\cos(x)=\sqrt{1-\dfrac{144}{169}}$

$\cos(x)=\sqrt{\dfrac{169-144}{169}}$

$\cos(x)=\sqrt{\dfrac{25}{169}}$

On further simplification, we get

$\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}$

$\cos(x)=\dfrac{5}{13}$

Therefore, the required value is $\cos(x)=\dfrac{5}{13}$ .

6 0

3 years ago

Can someone help me

ExtremeBDS [4]

Answer:263.9 in squared

Step-by-step explanation:

Find the area of the whole circle

Multiply area times the angle of the shaded region by total angle

Get answer

(pi)(12^2) = Area of whole

(Whole area)x(210deg/360deg)

=== 263.9 in squared

6 0

3 years ago

An online furniture store sells chairs for $150 each and tables for $600 each. Every day, the store can ship a maximum of 18 pie

EleoNora [17]

Answer:

13,500

Step-by-step explanation:

x + y = 750

750 x 18 = 13.500

3 0

3 years ago

Find the slope of the line whose equation is 7x-2y=4

borishaifa [10]

Answer:

$\huge\boxed{\text{Slope: } \frac{7}{2}}$

Step-by-step explanation:

In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.

Slope intercept form is usually in the form $y=mx+b$ , where m is the slope and b is the y-intercept.

Let's algebraically manipulate this problem so we solve for y.

$7x - 2y = 4$
$-2y = 4 - 7x$ (Subtract 7x from both sides)
$y = -2 + \frac{7}{2}x$ (Divide both sides by -2)
$y = \frac{7}{2}x-2$ (Rearrange the equation)

From here, we can now see our equation is $y = \frac{7}{2}x-2$ , in the form $y=mx+b$ . Since m is the slope, and $\frac{7}{2}$ is m, our slope is $\frac{7}{2}$ .

Hope this helped!

6 0

3 years ago

Read 2 more answers

Ken paid $12 for tow magazines. The cost of each magazine was a multiple of $3. What are the possible prices of the magazines?

Finger [1]

THE MULTIPLE OF 3 ARE: 3 , 6 , 9 ,12
The 1st magazine costs either 3 or 6 or 9 , 12
The 2nd magazine costs 3 or 6 or 9 , 12
The value 12 is to be discarded , then are the sum of tall possibilities to get 12:

mag 1st mag 2nd total
------------ ------------ --------
3 9 12
6 6 12
9 3 12

5 0

3 years ago