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ch4aika [34]
3 years ago
13

Work out V144 - (16 -5 2)2 I

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

  -24

Step-by-step explanation:

\sqrt{144}-(16-5\times 2)^2=\sqrt{144}-(16-10)^2=\sqrt{144}-6^2\\\\=12-36=\boxed{-24}

Your calculator can be helpful for this.

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Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).
Setler79 [48]

Answer:

\Huge \boxed{3a+4}

Step-by-step explanation:

The function is given.

f(x)=3x+1

To find :  f(a+1)

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

f(a+1)=3(a+1)+1

Expand brackets.

f(a+1)=3a+3+1

Simplifying.

f(a+1)=3a+4

3 0
3 years ago
Describe the set of points z in the complex plane that satisfy the given equation; |z-2|=Re(z).
OLEGan [10]

Answer:

Parabola with vertex at point (1,0) that goes to the right (see attached diagram).

Step-by-step explanation:

Let the complex number z be

z=x+iy,

then

z-2=x+iy-2=(x-2)+iy\\ \\Re\ (z-2)=x-2\\ \\Im\ (z-2)=y\\ \\|z-2|=\sqrt{Re^2\ (z-2)+Im^2\ (z-2)}=\sqrt{(x-2)^2+y^2}

and

Re\ z=x

Thus,

\sqrt{(x-2)^2+y^2}=x

Square it:

(x-2)^2+y^2=x^2\\ \\x^2-4x+4+y^2=x^2\\ \\-4x+4+y^2=0\\ \\y^2=4x-4\\ \\y^2=4(x-1)

This is the equation of parabola with vertex at point (1,0) that goes to the right.

3 0
3 years ago
I need help QUICK! with this difficult question
likoan [24]

Answer:

Step-by-step explanation:

4 0
3 years ago
2
Daniel [21]

Answer:

Step-by-step explanation:

P = (-4, 3)

Reflecting across the y axis negates the x value

P₁ = (4, 3)

Reflecting across the x axis negates the y value

P' = (4, -3)

option D

4 0
2 years ago
Delta furnishings received an invoice dated may 10 for a shipment of goods received june 21. The invoice was for a $8400.00 less
djyliett [7]

Answer:

The right solution is:

(a) $1,940

(b) $2,813

Step-by-step explanation:

Given:

Invoice amount

= $8,400

Discount 1

= 33.33%

Discount 2

= 12.5%

So,

The net payable amount will be:

= 8400\times  [1 - \frac{100}{300} ]\times [1 - \frac{12.5}{100} ]

= 8400\times \frac{2}{3}\times 0.875

= 4900 ($)

Now,

(a)

Amount paid will be:

= 2000\times 0.97

= 1940 ($)

Balance still to be paid will be:

= 4900-2000

= 2900 ($)

(b)

Amount paid will be:

= (4900- 2000)\times 0.97

= 2900\times 0.97

= 2813 ($)

Balance still to be paid will be:

= 2000 ($)

Thus the above solution is the appropriate one.

6 0
2 years ago
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