All categories

2 years ago

You need to simplify

Mathematics

1 answer:

Elis [28]2 years ago

7 0

Answer:

(Hope this helps can I pls have brainlist (crown) ☺️)

Step-by-step explanation:

In pic

You might be interested in

Find two numbers, if their sum is 49 and their difference is 1/2 .

amm1812

Answer:

$x=24\frac{3}{4}\\ y=24\frac{1}{4}$

Step-by-step explanation:

Let the two numbers be x and y

So we have:

$x +y = 49\\x-y=\frac{1}{2}$

using the elimination method, add the two equations together:

$2x=49\frac{1}{2} \\2x=\frac{99}{2}$

solve for x:

$x=\frac{99}{4}\\x=24\frac{3}{4}$

substitute our value for x back into the first equation we made:

$x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}$

therefore,

$x=24\frac{3}{4}\\ y=24\frac{1}{4}$

6 0

2 years ago

Find the general solution of the given differential equation. y'' + 2y' + 5y = 3 sin 2t

atroni [7]

Consider, pls, this option.
Please, change the design according to local requirements.

8 0

2 years ago

Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12

miskamm [114]

keeping in mind that parallel lines have the same exact slope, hmmmm what's the slope of the line above anyway?

$\bf 3y-x=-12\implies 3y=x-12\implies y=\cfrac{x-12}{3}\implies y = \cfrac{x}{3}-\cfrac{12}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/3 and runs through (18,2)

$\bf (\stackrel{x_1}{18}~,~\stackrel{y_1}{2})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{18}) \\\\\\ y-2=\cfrac{1}{3}x-6\implies y=\cfrac{1}{3}x-4$

3 0

2 years ago

The population of a city is expected to

Furkat [3]

$\huge\boxed{1.0925p}$

Since the population is going to increase by a certain percentage, we have to add $100\%$ to the percentage to keep the original population.

$9.25\%+100\%=109.25\%$

Now, convert the percentage into a decimal. You can do this by moving the decimal place two places to the left.

$109.25\longrightarrow 1.0925$

Now, just multiply that by $p$ .

$\large\boxed{1.0925p}$

8 0

2 years ago

What is the coefficient of the c-term of the algebraic expression 14a -72r -c -34d?

8_murik_8 [283]

The coefficient C-term is 1 in problem. The coefficient is the number before the variable of said equation. Example, the coefficient of X for thus problem 4x-4y is 4 the number BEFORE the variable, never variable itself it won’t ever be 4x

3 0

2 years ago