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vladimir1956 [14]
3 years ago
10

Qhich are the solutions of the quadratic equation x^2=9x+6

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

x^2-9x-6=0


Use the quadratic formula to get (9+sqrt(105))/2 or (9-sqrt(105))/2


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Please help me!!!!!! <br><br>What is the measure of angle Z?<br><br>​
rodikova [14]

Answer:

z = 56 degrees

Step-by-step explanation:

y = 124 because y is adjacent to 124 degrees

y + z = 180

180 - 124 = 56

7 0
3 years ago
9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nan
Travka [436]

Given:

Nancy is running 3 meters per second.

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

y=3x

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

y=3+2x

Therefore, the equations of Nancy and Juan are y=3x and y=3+2x respectively.

5 0
3 years ago
A 29- m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 . Find the length
prohojiy [21]

Answer:

About 17.7 meters.

Step-by-step explanation:

This can be solved by imagining the triangle formed by the building and its shadow. The hypotenuse of the triangle, the distance from the tip of the building to the tip of the shadow, is 34 meters, and one of the legs is 29 meters. Therefore, we can use the Pythagorean theorem to find that the third side is . Hope this helps!

6 0
3 years ago
The rule of 72 is used to determine how long it will take an investment to ___. For an Investment of $5,000 earning 7% annually,
Gnom [1K]

Answer:

The rule of 72 is used to determine how long it will take an investment to Double

For an Investment of $5,000 earning 7% annually, this will take about ten years

Step-by-step explanation:

The rule of 72 says that to find the number of years required to double your money at a given interest rate, you just divide 72 by the interest rate

Example:

If you want to know how long it will take to double your money at 9% interest, divide 72 by 9 you will get 8 years

The formula of the rule of 72 is Y = \frac{72}{r}

Let us complete the missing

The rule of 72 is used to determine how long it will take an investment to Double

The missing word is "Double"

∵ The investment is $5,000

∵ The annual interest is 7%

- By using the rule of 72

∵ Y = \frac{72}{r}

∵ r = 7

∴ Y = \frac{72}{7}

∴ Y = 10.29

- Round it to the nearest year

∴ Y ≅ 10 years

For an Investment of $5,000 earning 7% annually, this will take about ten years

The missing word is "ten"

5 0
3 years ago
Identify whether or not the following relation represents direct variation: x/y = 6
vekshin1

Answer:

since the ratio of y to x (also written y:x) never changes. The number 6 in the equation yx=6 y x = 6 is called the constant of variation. The equation yx=6 y x = 6 can also be written in the equivalent form, y=6x y = 6 x .

Step-by-step explanation:

The answer is True

7 0
3 years ago
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