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Oliga [24]
3 years ago
15

Can i please get help with this question? Thanks in advance

Mathematics
2 answers:
Yakvenalex [24]3 years ago
5 0

The answer is the third choice, "6a+8b."

6a → "6 times a number", where a represents the unknown number.

+8b → "plus 8 times a number", where b represents the unknown number as well.

SOVA2 [1]3 years ago
3 0

so it would be 6 times a number so 6a (a is the non-known number) than + 8 and same with a is it is 6a+8b

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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}

7 0
4 years ago
I don’t know how to do this question <br> on the picture <br> Help please
Inga [223]

7×0.5=3.5

3.5×4=15

7×7=49

49-15=34

6 0
4 years ago
There are 40 tables set up at school for the annual pancake breakfast. Each table is 6 feet long an 2 feet wide. The students pl
lozanna [386]
4.4 is your answer is correct
4 0
3 years ago
Help asap please 40 points for help
GuDViN [60]

Answer:

a. connect the point (0 , 3) with A

b. connect the origin (0 , 0) with B

c. For A: y = 0.5x +3

For B: y = 0.5x

Step-by-step explanation:

y = ax + b is the general rule for any straight line

a being the slope and b being the y intercept, a is given to be 0.5

y = 0.5x + b, substitute the coordinates of point A

4 = 0.5 *2 +b hence b = 4 - 0.5 *2 = 4 - 1 = 3

so y = 0.5 x + 3 is the equation of the line passing through A

since the second line that passes through B is parallel to the first, hence it has the same slope of 0.5

same procedure, substitute coordinates of B

2 = 0.5 * 4 + b hence b = 2 - 0.5 *4 = 2 - 2= 0

so y = 0.5 x is the equation of the line passing through B

6 0
3 years ago
What is the equation of exponential regression equation? Round all numbers you your answer to three decimal places
ExtremeBDS [4]

Given:

The given values are:

a=0.2094539899

b=2.507467975

r^2=0.9435996398

r=0.9713905701

To find:

The exponential regression equation for the given values (Rounded to three decimal places).

Solution:

The general form of exponential regression equation is:

y=a\cdot b^x          ...(i)

Where, a is the initial value and b is the growth/decay factor.

We have,

a=0.2094539899

b=2.507467975

Round these numbers to three decimal places.

a\approx 0.209

b\approx 2.507

Substitute a=0.209, b=2.507 in (i) to find the exponential regression equation.

\hat{y}=0.209\cdot 2.507^x

Therefore, the correct option is C.

8 0
3 years ago
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