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NeTakaya
2 years ago
14

Find the zeros of y = x2 - 4x - 9 by completing the square.

Mathematics
1 answer:
lana66690 [7]2 years ago
6 0

{x}^{2}  - 4x - 9 = 0 \\ d =  {( - 4)}^{2}  - 4 \times ( - 9) = 52 = (2 \sqrt{13} ) ^{2}  \\ x =  \frac{4 + 2 \sqrt{13} }{2}  = 2 +  \sqrt{13}  \\ x =  \frac{4 - 2 \sqrt{13} }{2}  = 2 -  \sqrt{13}

Zeros of function:

2+_/13

2-_/13

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Question 1(Multiple Choice Worth 5 points)
Hoochie [10]

Answer:

Q1) D Q2) The final statement Q3) first statement Q4) (0,14) and (10,1)

Step-by-step explanation:

Q1) in this D has the most points therefore highest correlation

Q2) there is no correlation because the points cannot form a linear line

Q3) it does not touch all points but is extreamly close ans is therefore considered a correct linear correlation.

Q4) these points have the closest linear correlation

4 0
2 years ago
What is the solution set of 2x2-3x=5
Kryger [21]

You use the quadratic formula:

2x {}^{2} - 3x = 5

2x {}^{2} - 3x - 5 = 0

x = \frac{3 + - \sqrt{9 -4(2)( - 5)}}{2 \times 2}  

x = \frac{3 + - \sqrt{49} }{4}  

x = \frac{3 + 7}{4} \: and \: x = \frac{3 - 7}{4}  

x = \frac{5}{2} \: and \: x = - 1

7 0
3 years ago
Suppose you want to go to the ice skating rink and it costs $8 to rent ice skates and $3.75 per hour to skate, write an equation
8_murik_8 [283]

Answer:

c=8+3.75x, where:

c is the cost to go to the ice skating ring

x is the number of hours

Step-by-step explanation:

From the information given, the cost to go to the ice skating ring is equal to the cost to rent ice skates plus the result of multiplying the cost to skate per hour for the number of hours and the equation would be:

c=8+3.75x, where:

c is the cost to go to the ice skating ring

x is the number of hours

8 0
2 years ago
A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you
marta [7]

Volume of cone formula: V = PI x r^2 x h/3

Volume of sphere formula: 4/3 x PI x r^3

Cone: 3.14 x 9^2 x 9/3 = 763.02 cubic inches

1/2 sphere: 1/2 x 4/3 x 3.14 x 9^3 = 1526.04 cubic inches.

Total volume : 1526.04 + 763.02 = 2289.1 cubic inches

4 0
3 years ago
Read 2 more answers
A rectangular football field is 64 meters wide and 100 maters long. A player runs from one corner of the field in a diagonal lin
Dimas [21]

Answer:

119 or 118.726577

Step-by-step explanation:

We should use the Pythagorean Theorem to solve this problem.

a^2+ b^2=c^2

64^2+100^2=c^2

4096+10000=14096

c^2=14096

c=\sqrt{14096}14096

And the root of 14096 is 118.726577.

So the Answer is About 119 meters, or 118.726577

hope this helps!

3 0
2 years ago
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