Can you please tell me what -4x + 9x is?

Mathematics

2 answers:

Natasha2012 [34]2 years ago

4 0

Answer:

$\boxed{ - 4x +9 x = ( - 4 + 9)x = 5x}\\$

<h3><u>5x</u> is the right answer.</h3>

Luba_88 [7]2 years ago

3 0

Answer = 5x

Explanation: Collect the like terms by calculating the sum or difference of their coefficients which would get you (-4 + 9)x
Then you calculate the sum which gets you 5x

You might be interested in

it takes 1/2 of a gallon of paint 1/3 of the wall. How Many gallons of paint will it take to paint the entire wall. helppp me as

Sidana [21]

1/3 of the wall takes 1/2 gallon paint.

3(1/3 wall) takes 3(1/2 paint)

1 wall takes 3/2 paint

Answer: 1 $\frac{1}{2}$ gallons paint

7 0

3 years ago

Write the equation of a hyperbola with vertices (0, -4) and (0, 4) and foci (0, -5) and (0, 5).

andre [41]

Check the picture below. So, more or less looks like so.

notice, the center is clearly at the origin, and notice how long the "a" component is, also, bear in mind that, is opening towards the y-axis, that means the fraction with the "y" variable is the positive one.

Also notice, the "c" distance from the center to either foci, is just 5 units.

$\bf \textit{hyperbolas, vertical traverse axis }\\\\
\cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}, {{ k}}\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{{{ a }}^2+{{ b }}^2}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
h=0\\
k=0\\
a=4\\
c=5
\end{cases}\implies \cfrac{(y-{{ 0}})^2}{{{ 4}}^2}-\cfrac{(x-{{ 0}})^2}{{{ b}}^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{b^2}=1
\\\\\\
c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{5^2-4^2}=b\implies \boxed{3=b}
\\\\\\
\cfrac{y^2}{16}-\cfrac{x^2}{3^2}=1\implies \boxed{\cfrac{y^2}{16}-\cfrac{x^2}{9}=1}$