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netineya [11]
3 years ago
15

ASAP!! Find the length of side x in simplest form with a rational denominator

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

x=\sqrt{14}

Step-by-step explanation:

This triangle is a 45-45-90 triangle.

By using the image I posted, we can find x easily.

So, we have \sqrt{7} as one of the sides.

They hypotenuse, which is x is just \sqrt{7} \sqrt{2}

Simplify and we get x = \sqrt{14}

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This is a popular type of problem that appeared in mathematics textbooks in the 1970s and 1980s. can you find the answer? the su
kondaur [170]
A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).

Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.

Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.

**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))

Original number = 10x + y
Reversed/New number = 10y + x

Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2

Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6

Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2

That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.

2 + y = 6
y = 4

number "xy" = 24

</span>
4 0
3 years ago
Miranda le debe $120.00 a max .Le paga 30% de lo que le debe ¿cuanto le falta pagarle?
IceJOKER [234]

Answer:

84

Step-by-step explanation:

el 10% de 120= 12. 120-12= 108

el 20% de 120=24. 120-24=96

el 30% de 120=36. 120-36=84

el 40% de 120=48. 120-48=72

el 50% de 120=60. 120-60=60

6 0
3 years ago
Read 2 more answers
Given that 2x+y= y+x+1 and y <br> =2x+2y solve for x and y​
Pachacha [2.7K]

Answer:

x=1,y=-2

Step-by-step explanation:

7 0
3 years ago
Marie gets a gift of $100 for her birthday. After that, she earns $20 per week for babysitting
Lostsunrise [7]

Answer:

y=20x+100

y-intercept= 100

slope= 20/1

Step-by-step explanation:

Since 100 is the constant, the y-intercept(b) is equal to 100. And if she earn's 20 dollars each week it's the changing amount.

4 0
3 years ago
a square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the
Ymorist [56]
Diagonal of the square (d):
d = a · √2 = a · 1.414   ( a is a length of a side of the square )
a =  9 : 1.414 = 6.365 inches
Total length:
4 · a + 2 · d = 4 · 6.365 + 2 · 9 = 25.46 + 18 = 43.46 ≈ 43.5 inches.
Answer: A ) 43.5
5 0
3 years ago
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