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3 years ago

Factorize (3x-2y)2 + 3(3x-2y)-10

Mathematics

1 answer:

Zarrin [17]3 years ago

3 0

Answer:

$5(3x-2y-2)$ i think. i am sorry if i am wrong

Step-by-step explanation:

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Write an equation that represents the function. (linear equations)

irinina [24]

Answer:

y = 2x + 2

Step-by-step explanation:

First solve for the slope using $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$\frac{8-2}{3-0}$ = 2

Plug the slope into the slope intercept form equation y = mx + b

y = 2x + b

To solve for b, plug in any (x, y) point on the table.

2 = 2(0) + b

2 = b

Now you can plug the b value into your equation.

y = 2x + 2

3 0

3 years ago

Why is -a² is always negative (a ≠ 0) and why is (-a)² is always positive?

hjlf

$-a^2=(-1)\cdot a\cdot a$

Regardless of the sign of $a$ , we have $a\cdot a=a^2\ge0$ (never negative). But multiplying by -1 makes it negative.

On the other hand,

$(-a)^2=((-1)\cdot a)^2=(-1)^2\cdot a^2=1\cdot a^2=a^2$

which can never be negative for real $a$ .

6 0

3 years ago

If a ball is thrown into the air with a velocity of 34 ft/s, its height (in feet) after t seconds is given by y = 34t − 16t2. Fi

Finger [1]

<u>ANSWER: </u>

If a ball is thrown into the air with a velocity of 34 feet per second, then velocity of the ball after 1 second is 2 feet per second

<u>SOLUTION: </u>

Given, a ball is thrown into the air with a velocity of 34 feet per second

Initial velocity (u) = 34 feet per second

And also given a relation between displacement and time = $\mathrm{y}=34 \mathrm{t}-16 \mathrm{t}^{2}$ --- eqn 1

We need to find the velocity when t = 1 ; v = ?

We know that, v = u + at and $\mathrm{s}=\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}$

where v is instantaneous velocity and u is initial velocity

a is acceleration

t is time interval

s is displacement

using the displacement and time relation eqn (1) we get

Now, when t = 1, displacement s = 34(1) – 16(1)

$\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}=34-16$

$34 \times 1+\frac{1}{2} \times a \times 1^{2}=18$

$34+\frac{a}{2}=18$

$\begin{array}{l}{\frac{a}{2}=18-34} \\\\ {\frac{a}{2}=-16} \\ {a=-16 \times 2} \\ {a=-32}\end{array}$

here, -ve sign indicates that object is in deceleration . so acceleration is -32 ft/s

now put a value in v = u + at

v = 34 + (-32)(1)

v = 34 – 32

v = 2 ft/s

Hence, velocity of the ball after 1 second is 2 ft/s

6 0

3 years ago

The combined perimeter of the rectangle and triangle is 63 inches. The model shows the dimensions of the rectangle. What is the

katrin2010 [14]

*See diagram in the attachment

Answer:

27 inches

Step-by-step explanation:

Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches

Perimeter of rectangle = 2(L + W)

L = 11 in.

W = 7 in.

Perimeter of rectangle = 2(11 + 7) = 36 in.

Let perimeter of the triangle be represented by x

Therefore:

36 + x = 63

Subtract 36 from each side

x = 63 - 36

x = 27

Perimeter of triangle = 27 inches

7 0

2 years ago

DO ANYONE KNOW HOW TI FIND THE AREA OF A REGULAR POLYGON?? ill give brainlest and points

zloy xaker [14]

Answer:

see explanation

Step-by-step explanation:

The area (A) of a regular decagon ( 10 sided ) is calculated as

A = 0.5 × perimeter × apothem

Here side length = 3.25, hence perimeter = 10 × 3.25 = 32.5 m, thus

A = 0.5 × 32.5 × 5 = 81.25 m²

7 0

3 years ago

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