How many solutions are there to the equation 12x+6=5x

Mathematics

1 answer:

Alenkinab [10]3 years ago

4 0

Answer:

One solution; x = - $\frac{6}{7}$

Step-by-step explanation:

12x + 6 = 5x

12x - 5x = -6

7x = -6

x = - $\frac{6}{7}$

You might be interested in

Please help ASAP 15 points

saveliy_v [14]

Answer:

$\boxed{\text{(a)}4\sqrt{5} \text{; (b)} -2}$

Step-by-step explanation:

(a) Radius of circle

The radius r of the circle is AB.

The coordinates of its ends are (5, 10) and (-3, 6).

x = x₂ - x₁ = 5- (-3) = 5 + 3 = 8

y = y₂ - y₁ = 10 - 6 = 4

We can use the Pythagorean theorem to calculate its length.

r² = 8² + 4² = 64 + 16 = 80

r = √80 = 4√5

(b) Slope of line l

Slope of AB = 4/8 = ½

Line l⟂AB, so its slope is the negative reciprocal of the slope of AB .

m = -1/½ = -2

The radius of the circle is $\boxed{4\sqrt{5}}$ and the slope of line l is $\boxed{-2}$ .

8 0

4 years ago

Samuel has read 3/6 of his assignment.Judy has read 4/8 of her assignment.their assignments were the same size.which sentence is

Zielflug [23.3K]

There are apparently <u>three</u> true sentences here:

1). Samuel has read 3/6 of his assignment.
2). Judy has read 4/8 of her assignment.
3). Their assignments were the same size.

If we want to spend a few seconds thinking about it, we realize that
Samuel and Judy have both done the same amount of reading.

6 0

3 years ago

The estimated answer to a multiplication problem is 800,000. Which of the following expressions could result in this answer? Exp

EastWind [94]

Answer:

8,146 x 121

Step-by-step explanation:

This is a problem in which you need to measure your understading of "orders of magnitude."

If the estimated answer is $800000$ that means that we are looking at a multiplication in the "order of" $8*10^5$

You need to look at the "orders of magnitude" of the things you're multiplying. In the first case, we have $8146*12$ that would be "of the order of" $8*10^3$ times $10^1$ . So the whole multiplication would "of the order of" $8*10^4$ or near $80000$