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joja [24]
3 years ago
15

If (3+√5)(4-√5)=a+b√5, where a and b are integers, then what is the value of a + b?

Mathematics
1 answer:
defon3 years ago
4 0
54 = 2 x 3³
So, if a and b are integers, a=2 and b=3
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Find the equation of the line that is perpendicular to y=-2/3 and passes through (4,8)
Scilla [17]

Answer:

<u>y </u> -<u>8=-2</u>

x -4    3

3y - 24=-2 +8

y= -2/3x +32/3

Step-by-step explanation:

6 0
3 years ago
For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than
user100 [1]
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
\frac{x}{y}=\frac{3.5}{6.8} \\&#10;6.8x=3.5y \\&#10;x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y

Jacob collected $115.50 more than Aiden.
x+115.5=y \\&#10;x=y-115.5 \\ \\&#10;x=x \\&#10;\frac{35}{68}y=y-115.5 \\&#10;\frac{35}{68}y-y=-115.5 \\&#10;\frac{35}{68}y-\frac{68}{68}y=-115.5 \\&#10;-\frac{33}{68}y=-115.5 \\&#10;y=-115.5 \times (-\frac{68}{33}) \\&#10;y=238 \\ \\&#10;x=y-115.5=238-115.5=122.5 \\ \\&#10;x+y=238+122.5=360.5

The total amount of money they collected is $360.50.
6 0
4 years ago
Y = -x - 1 and y = 1/2x + k intersect at the point (-2,1). Find the value of k.
Lena [83]

Answer:

k = 2

Step-by-step explanation:

(-2,1) =  (x,y)   So you substitute -2 and 1 for x and y

1 = -(-2) - 1    1 = 1/2 × -2 + k

1/2 × -2 = -1       -1 + 2 = 1

k = 2           1 = 1/2 × -2 + 2


I hope this helps


8 0
3 years ago
The variables x and y vary directly. When x is 3, y is 6. Find x when y = 2/3
nasty-shy [4]
X=3
y=6

y=2x
2/3=2x
(2/3)/2=x
(2/3)×(1/2)=x
2/6=x
x=1/3
7 0
3 years ago
haiely created another problem involving 2 rectangles she says 2 rectangles have the same area javito says that her statement is
Verizon [17]
Her statement is possible, the first rectangle could be equal to the second  because x is unknown so if x was 5in in the first rectangle and - 1 in the second rectangle both problems would look like this 2 in & 5 in and the second one 5in & (2 in =  (-1 +3)).

8 0
3 years ago
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