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3 years ago

Which expression is equivalent to (9x + 5y)²?

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

D is the correct answer.

If you don’t understand how then plz don’t hesitate to ask me in the comments.

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Y+5=1/4(x-12) equals what plz i need help

marshall27 [118]

Slope: 0.500/2.000 = 0.250
x: 32/1 = 32.00000
y: -32/4 = -8

5 0

3 years ago

Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W

suter [353]

Answer: The required equation for points P is $4x+2y=17.$

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

$RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.$

Let the point P be represented by (x, y, z).

According to the given information, we have

$PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.$

Thus, the required equation for points P is $4x+2y=17.$

8 0

3 years ago

Angie has already written 19 pages, and she expects to write 1 page for every additional

marta [7]

Answer:

$9$

Step-by-step explanation:

$28 - 19 = 9$

7 0

3 years ago

Read 2 more answers

The Todd family plans to start a small business. Mr. Todd borrows $10,000 from the blank at an annual interest rate 8%for 36 mon

Ede4ka [16]

Answer: They will end up paying $2,400.

Step-by-step explanation:

Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.

This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)

The Todd family will pay $2,400 in interest by the end of the period.

5 0

3 years ago

2.4 x 102 = ___ 2.4 24 240 2,400

pantera1 [17]

The answer is c or 240!

7 0

3 years ago

Read 2 more answers