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Iteru [2.4K]
3 years ago
9

What is the exponential form of log5 9 = x? x^9 = 5 5^x = 9 x^5 = 9 9^x = 5

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

Hence

log_{5} 9 = x ⇒ 9 = 5^{x} → B

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Thee vertex of a parabola is (-5,2), and its focus is (-1,2). What is the standard form of the parabola?​
Alla [95]

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

\bf \textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} h=-5\\ k=2\\ p=4 \end{cases}\implies 4(4)[x-(-5)]=[y-2]^2\implies 16(x+5)=(y-2)^2 \\\\\\ x+5=\cfrac{1}{16}(y-2)^2\implies x = \cfrac{1}{16}(y-2)^2-5

6 0
2 years ago
Read 2 more answers
Can someone pls help with this? i’ll give brainliest :)
raketka [301]

Answer:

D (I think)

Step-by-step explanation:

I used a right triangle calculator and that was the answer

Below is the process the calculator did, hope it helps.

c = \sqrt{a^{2} +b^{2}

\sqrt{12^{2} + 9^{2} } = 15

6 0
2 years ago
im not sure wether to replace the minus signs with addition, so if you could help me that would be nice :) 1.2y+4.5-3.4y-6.3
Elenna [48]

Answer:

-2.2y - 1.8

Step-by-step explanation:

We are to simplify the expression:

1.2y + 4.5 - 3.4y - 6.3

Collect like terms:

1.2y - 3.4y + 4.5 - 6.3

Simplify:

-2.2y - 1.8

That is the answer.

6 0
3 years ago
Brainliest Answer!!!
AleksandrR [38]
Its fairly straightforward. Since the bottom equation only has one unknown,x, because y=1.3, you can plug y in and solve for x. Once you find the value of x, you then have the value for two variables, x and y, and again have one unknown coefficient a. To solve for the coefficient you just plug in your y value (1.3) and your x value (which can be rounded to 0.42). Using a little bit of algebra, you can then solve for a which should be a=2.108. I am not sure if your teacher wants you to solve it this way but you could also use the elimination method or substitution method that you would of learned when discussing system of equations. But no matter which way you do it, the math follows the rules. Hope this helps. I’d suggest you solve it yourself to double check my work.

To verify my credibility,
I am a Mechanical Engineering major w/ minor in mathematics
7 0
3 years ago
Select all the expressions that are equivalent to 9 + 7x – 3y. 9 + 7x + 3y 9 – 7x – 3y 9 – 7x + 3y 9 + 7x + (–3y) 9 – (–7)x – 3y
bulgar [2K]

0^9 +7x+189yx−3y

o

9

+7x−3y

9

+7x+3y

9

−7x−3y

9

−7x+3y

9

+7x+189yx−3y

2 Collect like terms.

{o}^{9}+(7x+7x-7x-7x+7x)+(-3{y}^{9}+3{y}^{9}-3{y}^{9}+3{y}^{9})+189yx-3y

o

9

+(7x+7x−7x−7x+7x)+(−3y

9

+3y

9

−3y

9

+3y

9

)+189yx−3y

3 Simplify.

{o}^{9}+7x+189yx-3y

o

9

+7x+189yx−3y

6 0
2 years ago
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