All categories

4 years ago

What is the first step to solving this problem: 3x-10=2(x+3)

Mathematics

2 answers:

myrzilka [38]4 years ago

8 0

Answer:

x = 16

Step-by-step explanation:

3x - 10 = 2(x+3)

<em>First step is solve this:</em>

then:

3x - 10 = 2x + 6

3x - 2x = 6 + 10

x = 16

Check:

3*16 - 10 = 2(16+3)

48 - 10 = 2*19 = 38

Zielflug [23.3K]4 years ago

6 0

Answer:

x = 16

Step-by-step explanation:

you start off by isolating the variable

You might be interested in

Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.

Keith_Richards [23]

Answer: The derivative would be $f'(x)=2(e^{2x}-e^{-2x})$

Step-by-step explanation:

Since we have given that

$f(x)=(e^x+e^{-x})^{\frac{4}{2}}\\\\f(x)=(e^x+e^{-x})^2$

As we will use "Chain Rule"

and at last we will use the identity '' $a^2-b^2=(a-b)(a+b)$ ''

We need to find the derivative of the function:

$f'(x)=2(e^x+e^{-x})(e^x-e^{-x})\\\\f'(x)=2(e^{2x}-e^{-2x})$

Hence, the derivative would be

$f'(x)=2(e^{2x}-e^{-2x})$

6 0

4 years ago

Reflect over x-axis PLEASE HELP

Alinara [238K]

Point f ends up being (-4,-5)
point d is (-5,-1)
and point e is (4,-1)

6 0

3 years ago

50 is ____________ times as large as 5.

coldgirl [10]

Answer: 10

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Express 1800 ml as percentage of 2.1 L

bagirrra123 [75]

Answer:

1400 ml is 66.67% of 2.1 L

To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.

8 0

3 years ago

Find the longer leg of the triangle.

Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let $\text{Opposite}$ denotes the length of the side opposite to the $30^{\circ}$ acute angle, and $\text{Adjacent}$ be the length of the side next to this $30^{\circ}$ acute angle.

$\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}$ .

Similarly,

$\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}$ .

The longer leg in this case is the one adjacent to the $30^{\circ}$ acute angle. The answer will be $3$ .

There's a shortcut to the answer. Notice that $\sin{30^{\circ}} < \cos{30^{\circ}}$ . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the $30^{\circ}$ angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship $\sin{\theta} < \cos{\theta}$ holds for all acute angles? (That is, $0^{\circ} < \theta$ ?) It turns out that:

$\sin{\theta} < \cos{\theta}$ if $0^{\circ} < \theta$ ;
$\sin{\theta} > \cos{\theta}$ if $45^{\circ} < \theta$ ;
$\sin{\theta} = \cos{\theta}$ if $\theta = 45^{\circ}$ .

4 0

3 years ago

Read 2 more answers