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Natasha_Volkova [10]

3 years ago

14

I’m not sure how to get the gradient

1 answer:

snow_tiger [21]3 years ago

5 0

The gradient is 2.

You divide the increase in y (2) by the increase in x (1)

You might be interested in

Show that x2 +x-3=0 has a solution between 1 and 2

Natali5045456 [20]

Answer:

here is the answer

Step-by-step explanation:

hope it is helpful

7 0

3 years ago

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is

Setler [38]

Answer:

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

Step-by-step explanation:

Geometrically speaking, the area of a rectangle ( $A$ ), in square centimeters, is described by following expression:

$A = w\cdot l$ (1)

Where:

$w$ - Width, in centimeters.

$h$ - Height, in centimeters.

By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ( $\dot A$ ), in square centimeters per second:

$\dot A = \dot w\cdot l + w\cdot \dot l$ (2)

Where:

$\dot w$ - Rate of change of the width of the rectangle, in centimeters per second.

$\dot l$ - Rate of change of the length of the rectangle, in centimeters per second.

If we know that $w = 12\,cm$ , $l = 15\,cm$ , $\dot w = 4\,\frac{cm}{s}$ and $\dot l = 9\,\frac{cm}{s}$ , then the rate of change of the area of the rectangle is:

$\dot A = \dot w\cdot l + w\cdot \dot l$

$\dot A = 168\,\frac{cm^{2}}{s}$

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

6 0

3 years ago

Simplify each polynomial. 6g+8k-9g+2k<br> -4x+6x²+5x<br> a²+5a-3a²<br> 3x²+8x+7x

notsponge [240]

1. 10k-3g
2. 6x squared +x
3. 5a-2a squared
4.3x squared+15x

6 0

3 years ago

REALLY NEED HELP<br><br> Evaluate the following expression.<br><br> (−2.2 )·(−2)·(−14)·(5)

Lisa [10]

Answer:

-308

Step-by-step explanation:

Given that:

=(−2.2 )·(−2)·(−14)·(5)

As "-" sign into "-" becomes "+"
(2.2)(2) = 4.4

=(4.4)*(-14).(5)

As (-14)*(5) = -70

=(4.4)*(-70)

Multiplying 4.4 with -70

= -308

I hope it will help you.

8 0

3 years ago

Help Me! I suck with vectors.<br> Look at the attached pictures for the problem.

Westkost [7]

Multiplying a vector $x$ by a constant $k$ gives you a new vector whose components are the same as $x$ , but scaled by $k$ :

$x=\langle x_1,x_2\rangle\implies x=\langle kx_1,kx_2\rangle$

So we have

$u=\langle5,-7\rangle\implies-6u=\langle-30,42\rangle$

$v=\langle-11,3\rangle\implies2v=\langle-22,6\rangle$

Vector addition is just a matter of adding the corresponding components together:

$x=\langle x_1,x_2\rangle,y=\langle y_1,y_2\rangle\implies x+y=\langle x_1+y_1,x_2+y_2\rangle$

Then

$2v-6u=\langle-22,6\rangle+\langle-30,42\rangle=\langle-22-30,6+42\rangle$

$\implies\boxed{2v-6u=\langle-52,48\rangle}$

$\|x\|$ denotes the norm/magnitude of the vector $x$ :

$x=\langle x_1,x_2\rangle\implies\|x\|=\sqrt{{x_1}^2+{x_2}^2}$

We have

$\|2v-6u\|=\sqrt{(-52)^2+48^2}=4\sqrt{313}$

$\implies\boxed{\|2v-6u\|\approx70.77}$

7 0

4 years ago