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Alex17521 [72]
2 years ago
11

Write the fraction in lowest terms. 2/19

Mathematics
1 answer:
Mumz [18]2 years ago
4 0

Answer:

It's already in simplest form

Step-by-step explanation:

You can't simplify 2/19 anymore than 2/19

You might be interested in
H + 12 = 31<br> equal what equation h=
Oksi-84 [34.3K]
Move 12 to the other side, making it negative
h=31-12
h=19
3 0
2 years ago
The sides of a right triangle have a relationship as depicted below, where x is the length of the longer leg in inches.
Ratling [72]
The equation to represent the area of the triangle would be:
y = 1/2(x²) - (7/2)x

The equation to represent the perimeter of the triangle would be:
y = 3x - 6

The solutions to the system would be (12, 30) or (1, -3).  The only viable solution is (12, 30).

Explanation
The area of a triangle is found using the formula
A = 1/2bh

For our triangle, b = x and h = x-7, so we have:
A = 1/2(x)(x-7)
A = 1/2(x²-7x)
A = 1/2(x²) - (7/2)x

We will replace A with y, so we have:
y = 1/2(x²) - (7/2)x

The perimeter of a triangle is found by adding together all sides, so we have:
P = (x-7) + x + (x+1)

Combining like terms we get:
P = 3x - 6

We will replace P with y, so we have:
y = 3x - 6

Since both equations have y isolated on one side, it will be easy to use substitution to solve the system:

3x - 6 = 1/2(x²) - (7/2)x

It's easier to work with whole numbers, so we will multiply everything by 2:
6x - 12 = x² - 7x

We want all of the variables on one side, so we will subtract 6x:
6x - 12 - 6x = x² - 7x - 6x
-12 = x² - 13x

When solving quadratics, we want the equation equal to 0, so we will add 12:
-12+12 = x² - 13x + 12
0 = x² - 13x + 12

This is easy to factor, as there are factors of 12 that sum to -13; -12(-1) = 12 and -12+-1 = -13:
0 = (x-12)(x-1)

Using the zero product property, we know that either x-12=0 or x-1=0; therefore x=12 or x=1.

Putting these back into our equation for perimeter (the simplest one) we have:
y = 3(12)-6 = 36-6 = 30; (12, 30);
y = 3(1) - 6 = 3 - 6 = -3; (1, -3)

We cannot have a negative perimeter, so the only viable solution is (12, 30).
8 0
2 years ago
2. Find the product of each of the following:
Kruka [31]

Step-by-step explanation:

i) \:  \frac{3}{5}  \times (   \frac{ - 7}{8} ) =  -  \frac{21}{40}  \\  \\ ii) \:  \frac{ - 9}{2}  \times  \frac{5}{4}  =   - \frac{45}{8}  \\  \\ iii) \:  \frac{ - 6}{11}  \times  \frac{5}{3}  =  -  \frac{10}{11}  \\  \\ iv) \:  \frac{ - 2}{3}   \times  \frac{6}{7}  =  -  \frac{4}{7}  \\

6 0
3 years ago
Can someone please do this for me or help me pleasee i beg
zlopas [31]
Okay I get some of them, your first one - 1 I disagree with. So we can solve with two points by using a equation y2-y1 over x2-x1. So it's 4-8 over - 3-6 with the numerator being - 4 and the denominator being - 9. Any questions on how to solve for slope with two coordinates.
8 0
3 years ago
(x+1)^1/2
Step2247 [10]

Answer:

Step-by-step explanation:

L.C.M. of 2 and 3=6

Raise to the power 6

8 0
3 years ago
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