31 km<br>9 km find the area of the triangle <br>

which of the following expressions is written in scientific notation? 0.3 • 104 2 • 10-5 10 • 103 12 • 10-3

netineya [11]

Answer:

option (2) is correct.

$2 \cdot 10^{-5}$ is in the scientific notation form.

Step-by-step explanation:

Given: Some expressions

$1) \ 0.3 \cdot 10^4\\\\ 2) \ 2 \cdot 10^{-5}\\\\ 3) \ 10 \cdot 10^3\\\\ 4) \ 12 \cdot 10^{-3}\\\\$

We have to choose which expressions is written in scientific notation.

For an expression to be in scientific notation the most important requirement is that the whole number is between 1 and 10, but not including 10.

that is $a\cdot 10^{n}$ , 1 ≤ a < 10 and n is integer.

Thus, out of given only $2 \cdot 10^{-5}$ is in the scientific notation form.

Thus, option (2) is correct.

8 0

2 years ago

Match each equation on the left with the number and type of its solutions on the right.

klemol [59]

Answer:

Step-by-step explanation:

1). Given equation is,

2x² - 3x = 6

2x² - 3x - 6 = 0

To find the solutions of the equation we will use quadratic formula,

x = $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Substitute the values of a, b and c in the formula,

a = 2, b = -3 and c = -6

x = $\frac{3\pm\sqrt{(-3)^2-4(2)(-6)}}{2(2)}$

x = $\frac{3\pm\sqrt{9+48}}{4}$

x = $\frac{3\pm\sqrt{57}}{4}$

x = $\frac{3+\sqrt{57}}{4},\frac{3-\sqrt{57}}{4}$

Therefore, there are two real solutions.

2). Given equation is,

x² + 1 = 2x

x² - 2x + 1 = 0

(x - 1)² = 0

x = 1

Therefore, there is one real solution of the equation.

3). 2x² + 3x + 2 = 0

By applying quadratic formula,

x = $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

x = $\frac{-3\pm\sqrt{3^2-4(2)(2)}}{2(2)}$

x = $\frac{-3\pm\sqrt{9-16}}{4}$

x = $\frac{-3\pm i\sqrt{7}}{4}$

x = $\frac{-3+ i\sqrt{7}}{4},\frac{-3- i\sqrt{7}}{4}$

Therefore, there are two complex (non real) solutions.

3 0

2 years ago

Answer the problem please

Ivahew [28]

Answer:

this is not middle school math no way

Step-by-step explanation:

8 0

2 years ago

** BRAINLIEST!! **

densk [106]

we have three sides, let's look at the two smaller sides first.

check the picture below atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 9 - 4 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.

check the picture below at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 4 + 9 = 13. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 13.