Find all values of $x$ such that
\[\frac{2x}{x + 2} = -\frac{6}{x + 4}.\]

Answer:

[tex] - \frac{71}{4} [/tex]

Step-by-step explanation:

[tex] - 7 \frac{1}{10} \div \frac{2}{5} [/tex]

[tex] = - \frac{71}{10} \times \frac{5}{2} [/tex]

[tex] = - \frac{71}{2} \times \frac{1}{2} [/tex]

[tex] = - \frac{71}{4} [/tex]

Answer:

=53*(54 ×^9 y^12 z^15)^1/2

=53*y^6 *z^(15/2) * x^( 9/2)* (54)^1/2

Answer:

[tex] {3x}^{4} {y}^{6} {z}^{7} \sqrt{6xz} [/tex]

Step-by-step explanation:

[tex] \sqrt{54 {x}^{9} {y}^{12} {z}^{15} } [/tex]

➡️ [tex] \sqrt{ {3}^{2} \times 6 {x}^{8 + 1} {y}^{12} {z}^{14 + 1} } [/tex]

➡️ [tex] \sqrt{ {3}^{2} \times 6 {x}^{8 } \times {x}^{1} {y}^{12} {z}^{14} \times {z}^{1} } [/tex]

➡️ [tex] \sqrt{ {3}^{2} \times 6 {x}^{8} \times {xy}^{12} {z}^{14} \times z } [/tex]

➡️ [tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{8} } \sqrt {y}^{12} \sqrt{ {z}^{14} \sqrt{6xz} } [/tex]

➡️ [tex] {3x}^{4} {y}^{6} {z}^{7} \sqrt{6xz} [/tex] ✅

Answer:

Step-by-step explanation:

Acme Company:

Let the number of shirts = x

Cost = 50 + 9x

Beta Company:

Cost = 14x

50 + 9x < 14x

Subtract 9x from both sides

50 < 14x - 9x

50 < 5x

Divide both sides by 5

50/5 < x

10 < x

Minimum number of shirts for which a customer saves money by using Acme  = 11 T-shirts

Answer:

[tex]1=3=70^{0} \\2=4=5=110^{0}[/tex]

Step-by-step explanation:

Given angle is 110°

Now,

[tex]4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ][/tex]

From the figure,

[tex]4=110^{0}\,\,;[alternate\,\,angle][/tex]

[tex]So,\,\,2=5=110^{0}[/tex]

And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°

1 = 3 = 180° - 110° = 70°

Hope you have understood this.....      

ask me if you have any confusion.....      

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Answer:

  angle 1  =70 degrees

  angle 2  =110 degrees

  angle 3  =70 degrees

  angle 4 = 110 degrees

  angle 5  =110 degrees

Step-by-step explanation:

1) 110+ angle 1=180(allied angles)

          angle 1=180-110

          angle 1=70 degrees

2)angle 2+ angle 1=180(angles on a straight line)

  angle 2+ 70        =180

       angle 2          =180-70

       angle 2          =110 degrees

3)angle 3+ angle 2=180(angles on a straight line)

    angle 3+ 110       =180

       angle 3           =180-110

       angle 3           =70 degrees

4)angle 4 = 110 degrees (vertically opposite angles)

5)angle 5+ angle 3=180(allied angles)

  angle 5+ 70        =180

            angle 5     =180-70

           angle 5     =110 degrees

Hope you got this .......

If you have any questions regard to this you can ask me.......

There are many ways to do these sums but the answer should be correct......

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Answer:A=2 2/7

Step-by-step explanation:

Correct me if I am wrong

Answer:

0.32 repeating as a fraction

= 32/99

Step-by-step explanation:

The fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

To express the repeating decimal 0.32 repeating as a fraction in simplest form, we can use the concept of geometric series.

Let's represent 0.32 repeating as x:

x = 0.323232...

Multiply both sides of the equation by 100 to shift the decimal point two places to the right:

100x = 32.323232...

Now, subtract the original equation from the shifted equation to eliminate the repeating part:

100x - x = 32.323232... - 0.323232...

Simplifying the equation:

99x = 32

Divide both sides of the equation by 99 to solve for x:

x = 32/99

Therefore, the fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

To learn more on Number system click:

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Answer:

$137.33

Step-by-step explanation:

$115.78 + $15.00 = $130.78

$130.78 + $7.50 = $138.28

$138.28 - $35.90 = $102.33

$102.33 + $20.00 = $122.33

$122.33 + $15.00 = $137.33

Chow,...!

Answer:

5^9

Step-by-step explanation:

bn= b1*r^(n-1)

b9=b1*r^8

r=-25/5=-5

b9= 5*5^8=5^9

SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW

Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.  The equation for line y1 is 3x - 4  The slope is the coefficient of x, which is 3.  That means the slope of line y2 is -1/3, because it's the negative reciprocal.  As for the y-intercept, just look for the point on the y-axis that the line intercepts.  If we look closely, we can see it intercepts point (0,4) on the y-axis.  Therefore, the slope-intercept form equation for line y2 is:  y = -1/3x + 4.

Answer:

y=5-x/3

Step-by-step explanation:

Answer:

Square of 18 is 324

Step-by-step explanation:

[tex]18^2=18*18\\=180+80+64\\=324[/tex]

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Answer:

1

Step-by-step explanation:

2(k + 1) = -4(k - 2)

2k + 2 = --4k+8

2k+4k=8-2

6k=6

k=6/6

k=1

Answer:

x = 4

Step-by-step explanation:

[tex]-5(x-1)-x+1=-18\\\\-5x+5-x+1=-18\\\\-6x+6=-18\\\\-6x=-24\\\\x=4[/tex]

Answer:

x = 4

Step-by-step explanation:

-5 ( x - 1 ) -x +1 = -18

solve the brackets first

-5x + 5 - x + 1 = -18

-5x -x +5 +1 = -18

-6x + 6 = -18

-6x  = -18 - 6

-6x = -24

x = -24 / -6

x = 4

Answer:

1. [tex]\sqrt{218}[/tex]

2. [tex]\sqrt{89}[/tex]

3. [tex]2\sqrt{17}[/tex]

Step-by-step explanation:

The formula to find the distance between any two points on a coordinate plane is as follows:

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the two points one is trying to find the distance between. Substitute the points in and solve for the distance between them for each respective problem.

1.

Points: [tex](-4, 6),\ \ (3, -7)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

[tex]D=\sqrt{(-4-3)^2+(6+7)^2}[/tex]

[tex]D=\sqrt{(-7)^2+(13)^2}[/tex]

[tex]D=\sqrt{49+169}[/tex]

[tex]D=\sqrt{218}[/tex]

2.

Points: [tex](-6, -5)\ \ (2,0)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

[tex]D=\sqrt{(-6-2)^2+(-5-0)^2}[/tex]

[tex]D=\sqrt{(-8)^2+(-5)^2}[/tex]

[tex]D=\sqrt{64+25}[/tex]

[tex]D=\sqrt{89}[/tex]

3.

Points: [tex](-1, 4)\ \ (1,-4)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

[tex]D=\sqrt{(-1-1)^2+(4+4)^2}[/tex]

[tex]D=\sqrt{(-2)^2+(8)^2}[/tex]

[tex]D=\sqrt{4+64}[/tex]

[tex]D=\sqrt{68}[/tex]

[tex]D=2\sqrt{17}[/tex]

Answer: i am good,how are you?

Step-by-step explanation:

Answer:1-10 = 9 :D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{137}{24} [/tex]

or

[tex] \frac{137}{24} or \: 5 \frac{17}{24} [/tex]

hope that helps you

Answer:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

Step-by-step explanation:

We want to find the equation of a line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]

And contains the point (-3, 23).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.

We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Substitute:

[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]

Simplify:

[tex]\displaystyle y - 23 = -6 (x+3)[/tex]

Distribute:

[tex]\displaystyle y - 23 = -6x - 18[/tex]

And add. Hence:

[tex]\displaystyle y = -6x + 5[/tex]

In conclusion, our equation is:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

Answer:

[tex]y = - \frac{1}{2} x[/tex]

Answer:

1. 3g - 24 = 5

2. 5y + 3 = -38

3. 2x + 4 = 45

4. 1/2n - 10 = 30

5. 5n - 6 = 5

6. 6n - 7 = 10

Step-by-step explanation:

not sure if you wanted what the variables equal if you do leave a comment

Answer:

Step-by-step explanation:

The opposite side (the one not connected to A) = 4

The hypotenuse is 5

The adjacent side needs to be found for the cosine and the tangent.

a^2 + b^2 = c^2

a = opposite side = 4

b = adjacent side = ?

c = hypotenuse = 5

4^2 + x^2 = 5^2

16 + x^2 = 25          

x^2 = 25 - 16

x^2 = 9

x = sqrt(9)

x = 3

cos(A) = adjacent / hypotenuse = 3/5

Tan(A) = opposite / adjacent = 4/3

cos(A) + tan(A) = 3/5 + 4/3

cos(A) + tan(A) = 9/15 + 20/15 = 29/15

Answer:

the line containing them lies in the plane.

Step-by-step explanation:

If two planes intersect, then their intersection is a line.

If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

I hope this answer can help you ♥️

1.6667

that's the answer cause I said so

[tex]\frac{8}{5}[/tex] Converted to decimal is 1.6

Answer:

Answer:

A

Step-by-step explanation:

Answer:

Distance = 5 units

Slope = [tex]\displaystyle\frac{4}{3}[/tex]

Step-by-step explanation:

Hi there!

1) Finding the distance of the line

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two endpoints of a line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (-7,2) and (-4,6):

[tex]d=\sqrt{(-4-(-7))^2+(6-2)^2}\\d=\sqrt{(-4+7)^2+(6-2)^2}\\d=\sqrt{(3)^2+(4)^2}\\d=\sqrt{9+16}\\d=\sqrt{25}\\d=5[/tex]

Therefore, the length of the line/distance of the line is 5 units.

2) Finding the slope of the line

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (-7,2) and (-4,6):

[tex]m=\displaystyle\frac{6-2}{-4-(-7)}\\\\m=\displaystyle\frac{6-2}{-4+7}\\\\m=\displaystyle\frac{4}{3}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{4}{3}[/tex].

I hope this helps!

Answer:

56

Step-by-step explanation:

Answer:

a)

b)

c)

d)

e)

f)

f(0) = 4

h(11) = 15

g(-9) = -2(-9)² - 4(-9) + 1 = -125

f(2) = 1

h(-2) = 2  

g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125

Answer:

16= (x-4)^2 +(y+9)^2

Step-by-step explanation:

hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2

r= the radius (in your case you have the diameter so you do not need to square it)

(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)

a nice rating would help out

Answer:

its basically a Cross

the point they cross is p

and the 2 lines are AB and RS

I hope I'm correct.And yea

.hope it helps