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AnnZ [28]
3 years ago
7

Use the pythagoren theorem to solve x

Mathematics
1 answer:
defon3 years ago
3 0
Well the equation is (A^2)+(B^2)=(C^2)

A= x
B= 2x
C will always be the longest side because it is the Hypotenuse = 25

So if you plug in those numbers into the equation...

(x^2) + (2x^2) = (25^2)

x^2 + 4x^2 = 625

Combine like terms

5x^2 = 625

Divide by five to both sides

x^2 = 125

Then Square root,

x = sqrt(125)

x = sqrt(25* 5)

x = 5sqrt(5)
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A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expression that represents the area of t
valentinak56 [21]

Answer:

Step-by-step explanation:

Part A:

A=lw

A=(6x + 4)*(2x + 11)

multiply it out:

A=6x*2x+6x*11+4*2x+4*11

A=12x^(2)+66x+8x+44

add like terms

A=12x^(2)+<u>66x+8x</u>+44

A=12x^(2)+(66+8)x+44

A=12x^(2)+74x+44

the expression used to find area is 12x^(2)+74x+44

Part B:

this is:

a second degree trinomial

since its leading coefficient (highest degree value of the expression) is 2

and

since it has three monomials (terms that are separated by + or - signs):

12x^(2)+<u><em>74x</em></u>+44

Part C:

(not sure about this one)

all area is positive or 0 (no area), so lets find the values of x that are true:

lets find the zeros

(6x + 4)*(2x + 11)=0

6x+4=0

6x=-4

x=-4/6

x=-2/3

2x+11=0

2x=-11

x=-11/2

6*(-11/2)+4

3*(-11)+4

-33+4

-29

2*(-2/3)+11

-4/3+33/3

29/3

6*(-2/3) + 4

2*(-2)+4

-4+4

0

x is greater than (-2/3)

Thus, any real number greater than -2/3 makes

(6x + 4)*(2x + 11) equals the expression:

12x^(2)+74x+44, where x is a real number greater than -2/3

if lets say x= 1, a counting number then:

(6*1 + 4)*(2*1 + 11)=12*1^(2)+74*1+44

(6+4)*(2+11)=12*1+74+44

10*13=12+118

130=130

130 and 1 are both counting numbers, proving the closure property of polynomials

7 0
3 years ago
Read 2 more answers
Convert 50 degrees into radians (NEED ASAP)
MA_775_DIABLO [31]

Answer:

0.872665

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please answer this one, I’m in math grade 9 having online classes i need your help for this one. Asap thanksss
ICE Princess25 [194]

Answer:

1) b

2)d

3)a

Step-by-step explanation:

1) count the number of different betwwen 2 cycles

2) take 5/160 time 8

3) take 12/9.6 then times 6.4

8 0
3 years ago
(2x+3)²=5.find the roots of the equation ​
bija089 [108]

Answer:

-2.61803398875, -0.38196601125

or

(-3±√5)/2

Step-by-step explanation:

First, expand. (2x+3)² = 4x²+12x+9=5

4x²+12x+4 = 0

Quadratic equations take the form ax²+bx+c = 0

In this case,

a = 4

b = 12

c = 4

You can solve with the equation x=(-b±√b²-4ac)/2a

Plug in:

(-12±√144-64)/8

(-12±√80)/8

(-12±√2^4×5)/8

(-12±4√5)/8

(-3±√5)/2

Final answer x = (-3±√5)/2

If you want decimal form: -2.61803398875, -0.38196601125

4 0
2 years ago
What is negative 7 minus negative 2
zalisa [80]

Answer:

-5

Step-by-step explanation:

-7 - (-2)

-7 + 2

Example: If you owe someone $7, and you give them $2, how much do you still owe? You are owing him $7 so it's a negative and you give him $2 which is a negative as well since you are giving it to him. So, to answer how much do you still owe, you would add $2  to the $7 you owed, so now, you owe him $5, which is a negative since you OWE him.

Hope this helps:)

3 0
3 years ago
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