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Eduardwww [97]
2 years ago
14

If 2 is subtracted from a number and this difference is tripled, the result is 6 more than the number. Find the number?

Mathematics
1 answer:
ikadub [295]2 years ago
3 0
3(a-2)=6a \\ \\ 3a-6=6a \\ \\ 3a-6a= 6 \\ \\ -3a=6 \\ \\ \boxed{a=-\frac{6}{3}=-2}
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The line 3x-2y=12 has
Lynna [10]
2y = 3x - 12
y = 3/2x - 6

the answer is a

i am a mathematics teacher. if anything to ask please pm me
5 0
2 years ago
Read 2 more answers
What is the equation of the quadratic graph with a focus of (8, −8) and a directrix of y = −6?
sp2606 [1]

Answer:

y=-\frac{223}{28}(x-8)^2-7

Step-by-step explanation:

we are given a quadratic equation

we know that quadratic equation is same as equation of parabola

so, we can use formula

y=a(x-h)^2+k

Focus is

(h,k+\frac{1}{4a} )

now, we can compare it with given focus

=(8,-8)

we get

h=8

k+\frac{1}{4a}=-8

Directrix is

y=k-\frac{1}{4a}

we are given directrix =-6

k-\frac{1}{4a}=-6

we got two equations as

k+\frac{1}{4a}=-8

k-\frac{1}{4a}=-6

now, we can add both equations

and we get

k+\frac{1}{4a}+k-\frac{1}{4a}=-8-6

2k=-8-6

2k=-14

k=-7

now, we can find 'a'

k+\frac{1}{4\times -7}=-8

k=-\frac{223}{28}

now, we can plug back all values

and we get

So, equation of parabola is

y=-\frac{223}{28}(x-8)^2-7


3 0
2 years ago
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select t
slavikrds [6]

The correct answer is option C which is 230p – 1010 = 650p – 400 – p this expression is same as of 2.3p – 10.1 = 6.5p – 4 – 0.01p.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given expression:-

2.3p – 10.1 = 6.5p – 4 – 0.01p

The same expression will be calculated as:-

Multiply the given expression by 100 we will get our answer.

E = 100 (s 2.3p – 10.1 = 6.5p – 4 – 0.01p )

E = 230p – 1010 = 650p – 400 – p

Therefore  the correct answer is option C which is 230p – 1010 = 650p – 400 – p this expression is same as of 2.3p – 10.1 = 6.5p – 4 – 0.01p.

To know more about expression follow

brainly.com/question/723406

#SPJ1

4 0
2 years ago
Which is the product of 4/5 x3/7
Elenna [48]

Answer:

12/35

Step-by-step explanation:

4/5×3/7=12/35

thanks

3 0
3 years ago
3/2x-2/3x=2 please help!!!
lions [1.4K]

Answer:

NO SOLUTION

Step-by-step explanation:

3/2x-2/3x=2

find the common denominater which is 6 and whatever you do to the bottom you have to do to the top, in turn you'll get

6/6x-6/6x=2

In this case since their both the same you subtract x from x and when you do that you get,

NO SOLUTION = 2

8 0
3 years ago
Read 2 more answers
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