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3 years ago

What does x equal 10x-5=65

Mathematics

2 answers:

Lynna [10]3 years ago

7 0

Step-by-step explanation:

Add 5 to both sides to get 10x alone: 10x = 70
Divide both sides by ten to get x alone: x = 7
The final answer is x = 7.

alukav5142 [94]3 years ago

7 0

Step-by-step explanation:

$10x - 5 = 65 \\ \\ \therefore \: 10x = 65 + 5 \\ \\ \therefore \: 10x = 70 \\ \\ \therefore \:x = \frac{70}{10} \\ \\ \huge \red{ \boxed{ \therefore \:x = 7}}$

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Match the circle equations in general form with their corresponding equations in standard form. Not all will be used.

Xelga [282]

The standard form of the equation of a circumference is given by the following expression:

 $(x-h)^{2}+(y-k)^{2}=r^{2} \\ \\ where \ (h, k) \ is \ the \ center \ of \ the \ circumference \ and \ r \ the \ radius$

On the other hand, the general form is given as follows:

 $x^{2}+y^{2}+Dx+Ey+F=0 \\ \\ where: \\ D=-2h, \ E=-2k, \ F=h^{2}+k^{2}-r^{2}$ 

In this way, we can order the mentioned equations as follows:

Equations in Standard Form:

 $\bold{a)} \ (x-6)^{2}+(y-4)^{2}=56 \\ \bold{b)} \ (x-2)^{2} + (y+6)^{2}=60 \\ \bold{c)} \ (x+2)^{2}+(y+3)^{2}=18 \\ \bold{d)} \ (x+1)^{2}+(y-6)^{2}=46$

Equations in General Form:

$\bold{1)} \ x^{2}+y^{2}-4x+12y-20=0 \\ \bold{2)} \ x^{2}+y^{2}+6x-8y-10=0 \\ \bold{3)} \ 3x^{2}+3y^{2}+12x+18y-15=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 3, \ the \ equation \ becomes: \\ x^{2}+y^{2}+4x+6y-5=0 \\ \\ \bold{4)} \ 5x^{2}+5y^{2}-10x+20y-30=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 5, \ the \ equation \ becomes: \\ x^{2}+y^{2}-2x+4y-6=0 \\ \\ \bold{5)} \ 2x^{2}+2y^{2}-24x-16y-8=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 2, \ the \ equation \ becomes: \\ x^{2}+y^{2}-12x-8y-4=0$

$\bold{6)} \ x^{2}+y^{2}+2x-12y$

So let's match each equation:

$\bold{From \ a)} \\ \\ (h,k)=(6,4),\ r=2\sqrt{14} \\ D=-12, \ E=-8 \\ F=-4$

Then, its general form is:

$x^{2}+y^{2}-12x-8y-4=0$

First. a) matches 5) 

$\bold{From \ b)} \\ \\ (h,k)=(2,-6),\ r=2\sqrt{15} \\ D=-4, \ E=12 \\ F=-20$

Then, its general form is:

$x^{2}+y^{2}-4x+12y-20=0$

Second. b) matches 1) 

$\bold{From \ c)} \\ \\ (h,k)=(-2,-3),\ r=3\sqrt{2} \\ D=4, \ E=6 \\ F=-5$

Then, its general form is:

$x^{2}+y^{2}+4x+6y-5=0$

Third. c) matches 3)

$\bold{From \ d)} \\ \\ (h,k)=(-1,6),\ r=\sqrt{46} \\ D=2, \ E=-12, \ F=-9$

Then, its general form is: $x^{2}+y^{2}+2x-12y-9=0$

Fourth. d) matches 6)

6 0

3 years ago

Read 2 more answers

a movie theater is located at a, b to get from your house to the movie theater, you walk 4 blocks east and then 5 blocks north.

melomori [17]

W E X-axis

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7 0

2 years ago

NEED HELP PLEASE!!!!!!!!!!!!!!!

leonid [27]

Answer:

The answer to your question is: 40°

Step-by-step explanation:

Due to the directions, we can know that KL is parallel to GH, then the

∠ FKL ≡ ∠ FGH = 40

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3 years ago

Kendra is buying bottled water for a class trip. She has 16 bottles left over from the last trip. She buys bottles from the case

Helen [10]

Answer:

6 cases

Step-by-step explanation:

Kendra wants a total of 160 water bottles

She already has 16 water bottles. So you can subtract 16 from 160 or

160-16 = 144

Then since there are 24 water bottles in a case, you need to divide 144 by 24 or 144÷24 = 6

4 0

3 years ago

The sum of two consecutive even numbers is 58.Find the two numbers.

arlik [135]

(x) + (x + 2) = 58
2x + 2 = 58
2x = 56
x = 28
The two numbers are 28 and 30.

Hope this helps!

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3 years ago