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3 years ago

Which function rule represent the data in the table below?

Mathematics

1 answer:

kotykmax [81]3 years ago

8 0

$d. \: y = 6 + 3x \\ \\ 1. \: 3x + 6 = y \\ 2. \: 3x = y - 6 \\ 3. \: \frac{3x}{3} = \frac{y - 6}{3} \\ x = \frac{1}{3} y - 2$

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HELP ITS ONE OF THE LAST QUESTIONS I DONT UNDERSTAND! I WILL MARK BRAINLIEST!

vlabodo [156]

Answer:

Step-by-step explanation:

i think that it is C but not 100% sorry

4 0

4 years ago

Read 2 more answers

Work out the area of the trapezium ABDE.<br> B<br> 9 cm<br> 6 cm<br> 8 cm<br> →D<br> E

Evgen [1.6K]

Answer:

Area of the trapezium ABDE = 30 cm²

Step-by-step explanation:

Area of a trapezium = $\frac{1}{2}(b_1+b_2)h$

Here, $b_1$ and $b_2$ are the parallel sides of the trapezium

h = Distance between the parallel sides

From the picture attached,

ΔCAE and ΔCBD are the similar triangles.

So by the property of similarity their sides will be proportional.

$\frac{AE}{BD}= \frac{CE}{CD}$

$\frac{9}{6}=\frac{CE}{8}$

CE = $\frac{9\times 8}{6}$

CE = 12 cm

Therefore, DE = CE - CD

DE = 12 - 8 = 4 cm

Now area of trapezium ABDE = $\frac{1}{2}(AE+BD)(DE)$

= $\frac{1}{2}(6+9)4$

= 30 cm²

Therefore, area of the trapezium ABDE = 30 cm²

8 0

3 years ago

It's super easy!!<br><img src="https://tex.z-dn.net/?f=%20%5Ccos%20%5Ctheta%20%5C%3A%20%20%2B%20%20%5Ctan%20%5Ctheta%20%3D%20" i

valina [46]

Answer:

$\frac{cos^{2} \theta + sin\theta}{cos\theta}$

Step-by-step explanation:

Solving :

$cos\theta + tan\theta$
$cos\theta + \frac{sin\theta}{cos\theta}$
$\frac{cos^{2} \theta + sin\theta}{cos\theta}$

4 0

2 years ago

Factor completely: 4x2 + 25x + 6

IceJOKER [234]

(x + 6)(4x + 1)
x times 4x = 4x^2
x times 1 = x
6 times 4x = 24x
6 times 1 = 6
<span>And finally, by adding like terms, 4x^2 + 25x + 6

I hope this helps you! Good luck :)</span>

7 0

3 years ago

What is the equation in slope intercept form (y=Mx+b) of the line that passes through the point (7, -3) and has a slope of -5?

Mashutka [201]

<h3>Answer: y = -5x+32</h3>

=========================================

Work Shown:

You can use point slope form by plugging in m = -5 and $(x_1, y_1) = (7,-3)$

So,

$y - y_1 = m(x - x_1)\\\\y - (-3) = -5(x - 7)\\\\y + 3 = -5(x - 7)\\\\y + 3 = -5x + 35\\\\y + 3-3 = -5x + 35-3 \text{ subtract 3 from both sides} \\\\y = -5x + 32\\$

---------------

Or you could use y = mx+b to solve for the value of b

Plug in m = -5, and (x,y) = (7,-3)

$y = mx+b\\\\-3 = (-5)(7)+b\\\\-3 = -35+b\\\\-3+35 = -35+b+35\\\\32 = b\\\\b = 32\\\\$

Since m = -5 and b = 32, we know that y = -5x+32 is the equation of the line.

5 0

3 years ago