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lora16 [44]
2 years ago
13

Solve the equation for x

Mathematics
1 answer:
KengaRu [80]2 years ago
7 0
You can do this 2 ways, one is knowing the special right triangles called triplets. An example of a triplet would be 3-4-5 where the largest value is the hypotenuse. In this example, the other 2 sides are 3 and 4 and the missing side is the hypotenuse, so using the knowledge of triplets, we can find that the hypotenuse is 5.

algebraically, we can use the Pythagorean theorem; a^2+b^2=c^2 where a and b are the opposite and adjacent and where c is the hypotenuse. We can then substitute in the values to get : 3^2 + 4^2 = c^2. When simplified, we get 9+16=c^2. Simplify further, and get 25=c^2. Now we Square root both sides to solve for C. Finally, we get C=5. Your missing side is 5.
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Solve for x. 3^x−1=9^x+2 <br> Enter your answer in the box.
slava [35]

Answer:

-5 =x

Step-by-step explanation:

3^(x-1) = 9^(x+2)

Replace 9 with 3^2

3^(x-1) = 3^2^(x+2)

We know that a power to a power means the powers are multiplied

a^b^c = a^(b*c)

3^(x-1) = 3^(2x+2)

When the bases are the same, the powers have to be the same

x-1 = 2x+4

Subtract x from each side

x-x-1 =2x-x+4

-1 =x+4

Subtract 4 from each side

-1-4 =x+4-4

-1-4 = x

-5 =x

4 0
3 years ago
The population of one type of fish, P.,, and another type of fish, P2, are modeled by the equations P1 = 10.000) and P2 = 1000(3
Firlakuza [10]
I think it’s B.P2= 1/1
3 0
3 years ago
Consider the next 1000 90% CIs for μ that a statistical consultant will obtain for various clients. Suppose the data sets on whi
Ivenika [448]

Answer:

90% CI expects to capture u 90% of time

(a) This means 0.9 * 1000 = 900 intervals will capture u

(b) Here we treat CI as binomial random variable, having probability 0.9 for success

n = 1000

p = 0.9

For this case, applying normal approximation to binomial, we get:

mean = n*p= 900

variance = n*p*(1-p) = 90

std dev = 9.4868

We want to Find : P(890 <= X <= 910) = P( 889.5 < X < 910.5) (integer continuity correction)

We convert to standard normal form, Z ~ N(0,1) by z1 = (x1 - u )/s

so z1 = (889.5 - 900 )/9.4868 = -1.11

so z2 = (910.5 - 900 )/9.4868 = 1.11

P( 889.5 < X < 910.5) = P(z1 < Z < z2) = P( Z < 1.11) - P(Z < -1.11)

= 0.8665 - 0.1335

= 0.733

6 0
3 years ago
How do you Express (x+1)(2x+2) as a trinomial
Furkat [3]

Answer:

2x^{2} + 4x +2

Step-by-step explanation:

Multiply (x + 1) by (2x + 2).

x × 2x is 2x^{2}

x × 2 is 2x

1 × 2x is 2x

1 × 2 is 2

2x^{2} + 2x + 2x + 2 = 2x^{2} + 4x +2

6 0
2 years ago
* ANSWER QUICK PLEASE :)* The map shows the dimensions of five counties in a Midwestern state. Which expression gives the area o
SOVA2 [1]

Answer:

101218141812

Step-by-step explanation:

3 0
2 years ago
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