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3 years ago

Solve y = f(x) = (2x+1)^1/2 & g(x) = x-1

Mathematics

1 answer:

snow_lady [41]3 years ago

8 0

Answer:

f(x) = $x = \frac{y^{2} - 1}{2}$

g(x) = 1

Step-by-step explanation:

y = (2x + 1)^1/2

$y^{2} = 2x + 1$

$y^{2} - 1 = 2x$

$\frac{y^{2} - 1}{2} = x$

y = x - 1

y + 1 = x

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Two lines L1 and L2 pass through the point of intersection of 2y=x-13 and 3y+x+12=0. L1 passes through P(-4,-7) and L2 is perpen

alexgriva [62]

Answer:

84°

Step-by-step explanation:

1. point of intersection of 2y=x-13 and 3y+x+12=0

x = 2y + 13 ==> 3y + (2y+13) + 12 = 0 ==> 5y + 25 = 0 ==> y = -5

x = 2*(-5) +13 = 3

point of intersection: (3 , -5) L1: pass (3 , -5) and (-4 , -7)

slope of L1 = (-7 - -5)/(-4-3) = -2 / -7 = 2/7

L2 pass (3 , -5) perpendicular to 2x-5y=4

2x-5y=4 ==> y = 2/5 x - 4 slope = 2/5

so slope of L2 = -5/2

angle Θ between two slopes: tan Θ = | (m2-m1) / (1 + m1*m2)|

==> = | (-5/2 - 2/7) / (1 + -5/2*2/7) | = |(-39/14) / (4/14) | = |- 39/4| = 39/4 = 9.75

Θ = 84°

6 0

3 years ago

Pls help. i need it by 10:16

frutty [35]

Answer:

A= 3215.36 in²

C= 100.48 in

Step-by-step explanation:

A= πr²

A=3.14(32²)

A= 3.14(1024)

A= 3215.36 in²

C= πd

C= 3.14(32)

C= 100.48 in

6 0

3 years ago

Can someone please help me with this:)

madam [21]

Answer: c

Step-by-step explanation:

3 0

3 years ago

Which term describes the set of all possible output values for a function

Amanda [17]

Answer:

range

Step-by-step explanation:

,domain describes the input values and range describes the output

8 0

2 years ago

How would I solve y=5x-2 & -14x+y=16 in a substitution equation

Aleks04 [339]

You would substitute the given value of “y” into the equation of -14x+y=16
-14x+5x-2=16

Then you would solve for “x”
x=2

You would then substitute the value of “x” into the equation to solve for “y”
y=5(2)-2

Which would then give you a value for “y”
y=12
So the answer is (2,12)

7 0

3 years ago