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Iteru [2.4K]
3 years ago
8

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

x is 7

Step-by-step explanation:

3x - 5(y + x)^2 = 16

3x - 16 = 5(y + x)^2

(y + x)^2 = 1/5(3x - 16) ------ eqn(I)

4x + 2(y + x)^2 = 30

2(y + x)^2 = 30 - 4x

(y + x)^2 = 1/2(30 - 4x) ------- eqn(II)

Equate eqn (I) & (II)

1/5(3x - 16) = 1/2(30 - 4x)

Multiply both sides by 10

2(3x - 16) = 5(30 - 4x)

6x - 32 = 150 - 20x

6x + 20x = 150 + 32

26x = 182

x = 182/26 = 7

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Which is bigger, 7/8" or 9/16"?
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7/8 and 9/16

7*2/8*2 = 14/16

14/16 and 9/16

Now since we have a common denominator, we can compare the numerators.

14/16 is greater, so 7/8 is greater than 9/16

Answer: 7/8 is bigger
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3 years ago
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Katie is twice as old as her sister Mara. The sum of their ages is 24. Find their ages.
Alenkasestr [34]
So k=katie's' age
m=mara's age

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add means sum
k+m=24

so we have
k+m=24 and
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3 years ago
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give
goldfiish [28.3K]

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

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Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

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m=\frac{q-b}{p-a}

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As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




6 0
4 years ago
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Answer:

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Step-by-step explanation:

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