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cestrela7 [59]
3 years ago
15

I need help on this problem ​

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

Answer:

y² - 2y - 4x + 9 = 0 (*)

a = 1    b = -2    c = -4x + 9

Δ = b² - 4ac = 4 - 4(9 - 4x) = 4 - 36 + 16x = 16x - 32

if (*) have the solutions => Δ ≥ 0

⇔ 16x - 32 ≥ 0 ⇔ x ≥ 2

with x ≥ 2 => y = \frac{2+\sqrt{16x-32} }{2}=\frac{2+4\sqrt{x-2} }{2}=1+2\sqrt{x-2}

or y = 1-2\sqrt{x-2}

Step-by-step explanation:

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WILL GIVE BRAINLIEST!!
VMariaS [17]

Answer:

A(-1,4)\to A''(-1,-1)

B(0,2)\to B''(1,0)

C(1,2)\to C''(1,1)

D(-2,4)\to D''(-1,2)

Step-by-step explanation:

The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).

The transformation rule for 90° counterclockwise rotation is

(x,y)\to(-y,x)

This implies that:

A(-1,4)\to A'(-4,-1)

B(0,2)\to B'(-2,0)

C(1,2)\to C'(-2,1)

D(2,4)\to D'(-4,2)

This is followed by a translation 3 units to the right.

This also has the rule: (x,y)\to (x+3,y)

A'(-4,-1)\to A''(-1,-1)

B'(-2,0)\to B''(1,0)

C'(-2,1)\to C''(1,1)

D'(-4,2)\to D''(-1,2)

Therefore:

A(-1,4)\to A''(-1,-1)

B(0,2)\to B''(1,0)

C(1,2)\to C''(1,1)

D(-2,4)\to D''(-1,2)

3 0
4 years ago
5) A submarine is cruising at -40 meters (40 meters below the surface). It
Verdich [7]

Answer:

-25

Step-by-step explanation:

You begin with -40, then decrease by 20 so your new value is -60, then increase by 35 so your final value is -25m... hope this helps (:

5 0
4 years ago
Enter your answer and show all the steps that you use to solve this problem in the space provided.
shutvik [7]

Answer:

Step-by-step explanation:

we are given

(A)

(f×g)(x)=f(x)*g(x)

now, we can plug it

we can simplify it

(B)

Domain:

Firstly, we will find domain  of f(x) , g(x) and (fxg)(x)

and then we can find common domain

Domain of f(x):

we know that f(x) is undefined at x=0

so, domain will be

∪

Domain of g(x):

Since, it is polynomial

so, it is defined for all real values of x

now, we can find common domain

so, domain will be

∪..............Answer

Range:

Firstly, we will find range of f(x) , g(x) and (fxg)(x)

and then we can find common range

Range of f(x):

we know that range is all possible values of y for which x is defined

since, horizontal asymptote will be at y=0

so, range is

∪

Range of g(x):

Since, it is quadratic equation

so, its range will be

now, we can find common range

so, range will be

∪.............Answer

6 0
3 years ago
This rectangle represents the base of a rectangular prism. The height of the rectangular prism is 56 m.
elena-14-01-66 [18.8K]

Answer:

1,960

Step-by-step explanation:

35 times 56 = 1,960

35 is the base, to get the base you do length times width.

the height is 56. To get the volume do base (or length times width) times hight.

Hope that helps!

5 0
3 years ago
Read 2 more answers
F(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x)
olasank [31]
Hello : 
x²-8x+15 = (x-3)(x-5)
<span>h(x) = f(x) ÷g(x) = (x-3)(x-5)/(x-3)= x-5</span>
5 0
3 years ago
Read 2 more answers
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