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hodyreva [135]
3 years ago
7

Solve the following equation using the zero product property (x+9)(4x-1)=0

Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Answer:

x = -9     x = 1/4

Step-by-step explanation:

(x+9)(4x-1)=0

Using the zero product property

x+9=0   4x-1=0

x= -9   4x =1

         x = 1/4

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Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed b
guajiro [1.7K]
With that information you can determine how far the park is from the football field.

Call h the height of the triangle, x the distance from the park to the football field and y the distance from the park to the home of Kristen.

Using Pithagora's theorem, ou can state this system of equations:

1) From the complet triangle: x^2 + y^2 = (8 + 2)^2 = 10^2 = 100

2) From the triangle whose hypotenuse is the distance from the park to the football field:

x^2 = 8^2 + h^2

3) From the triangle whose hypotenuse is the distance from the park to the home of Kristen:

y^2 = 2^2 + h^2

To solve the system start by subtracting equation 3) from equation 1) =>

x^2 + y^2 = 100
y^2 = 4 + h^2
---------------------
x^2 = 100 - 4 - h^2

x^2 = 96 - h^2

Now sum this result to equation 2

x^2 = 96 - h^2
x^2 = 64 + h^2
---------------------
2x^2 = 96 + 64

2x^2 = 160

=> x^2 = 80

=> x = 8.94

Answer: 8.94 miles
6 0
3 years ago
A rectangle has an area of 120cm2. It's length and width are whole numbers.
prohojiy [21]
The two numbers can be any factors of 120. This includes: (1,120) (2,60)(3,40)(4,30)(5,24)(6,20)(8,15)(10,12) and the reverse of this. The smallest perimeter would be the two numbers that are closer together, which is 10 and 12.
7 0
2 years ago
X + 2 – z; use x = 6, and z = 2​
grin007 [14]

Answer:

6

Step-by-step explanation:

  • x + 2 - z
  • If x = 6 and z = 2 then : 6 + 2 -2
  • 6 +2 is 8 - 2 is six
  • answer is 6
4 0
3 years ago
What is the area of this triangle<br> 480<br> 525<br> 675<br> 960
ki77a [65]

Answer:

it 480

Step-by-step explanation:

if your k 12 this is right

8 0
2 years ago
Read 2 more answers
Christian is planning a vacation and finds an airplane ticket that cost 180$. He found a promo code offering 17% off. Write a si
lesya [120]

Answer:

83/100 x 180

Step-by-step explanation:

We have to find the cost of the ticket after the discount.

100% - 17%= 83%

83% of the total percentage of the original price that he needs to pay.

So we do:

83/100 x 180

So, this would be the expression.

Hope this helps!:)

7 0
2 years ago
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