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Dafna11 [192]
3 years ago
9

Keisha is solving the equation 7^x=9.

Mathematics
1 answer:
olganol [36]3 years ago
3 0
\bf \textit{Logarithm of exponentials}\\\\
log_a\left( x^  b \right)\implies   b\cdot  log_a(x)\\\\
-------------------------------\\\\
7^x=9\implies \boxed{log(7^x)=log(9)}\implies x\cdot log(7)=log(9)
\\\\\\
x=\cfrac{log(9)}{log(7)}
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Tomtit [17]
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45 +2.50m = 3.75m<br> what is the answer
zhannawk [14.2K]

m = 36

<u>Work</u>

<em>45 + 2.50m = 3.75m</em>

<em>        -3.75m    -3.75m</em>

<em>45 - 1.25m = 0</em>

<em>- 45             - 45</em>

<u><em>-1.25</em></u><em>m = </em><u><em>-45</em></u>

<em>-1.25     -1.25</em>

<em>     </em>m = 36

3 0
3 years ago
Question 1
arlik [135]

Answer:

30

Step-by-step explanation:

This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).

The attached image shows the points and segments joining them.

PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).

PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.

The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.

(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2

(QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13

The perimeter of the triangle is 5 + 12 + 13 = 30

6 0
3 years ago
Pls help and answer! first person gets brainliest
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Answer:

200 miles

Step-by-step explanation:

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Step-by-step explanation:

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