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4 years ago

What is the slope of the line 3x - 9y = 4 ? 1. -3 2. -1/3 3. 1/3 4. 3

Mathematics

2 answers:

erastovalidia [21]4 years ago

7 0

Answer:

Step-by-step explanation:

mariarad [96]4 years ago

4 0

Answer:

3. 1/3

Step-by-step explanation:

Change the equation by isolating y

9y=3x-4

y=1/3x-4/9

this is slope intercept form.

y=mx+b

m=slope

∴slope=1/3

your equation is in standard form Ax+By=C

slope=-A/B

-3/-9

1/3

∴slope is 1/3

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Artemon [7]

Answer:

y = -3x + 2, or C

Step-by-step explanation:

So, slope intercept form is y = mx + b.

m = (y2 - y1)/(x2 - x1). So (5 - (-1))/(-1 - 1) = -3

b = (0,2), according to the graph, or just 2.

So y = -3x + 2

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4 years ago

What is Divide −240 by 8

Yanka [14]

Answer: -30

Step-by-step explanation:

-240 / 8

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3 years ago

Read 2 more answers

Use the information that sin⁡θ=35 and 90°<θ<180° to answer the following questions. Part A: Which equation shows cos2θ+sin

gizmo_the_mogwai [7]

Answer:

(a) $cos\theta = \sqrt{1-sin^2\theta}$

(b) $cos\theta = \frac{4}{5}$

Step-by-step explanation:

Given that 90°< θ<180° and $sin\theta= \frac{3}{5}$

Since 90°< θ<180° so θ lies in second quadrant where sinθ is positive but cosθ is negative.

(a) The identity,

Sin²θ+cos²θ= 1

⇒cos²θ=1-sin²θ

$\Rightarrow cos\theta = \sqrt{1-sin^2\theta}$

(b)

$cos\theta = \sqrt{1-sin^2\theta}$ [ Since the quadrant is not considered]

$\Rightarrow cos\theta = \sqrt{1-(\frac{3}{5})^2 }$

$\Rightarrow cos\theta = \sqrt{1-(\frac{9}{25}) }$

$\Rightarrow cos\theta = \sqrt{(\frac{25-9}{25}) }$

$\Rightarrow cos\theta = \sqrt{\frac{16}{25} }$

$\Rightarrow cos\theta = \frac{4}{5}$

(c)

$cos\theta = -\sqrt{1-sin^2\theta}$ [ since cos θ is negative in second quadrant]

$\Rightarrow cos\theta = -\sqrt{1-(\frac{3}{5})^2 }$

$\Rightarrow cos\theta = -\sqrt{1-(\frac{9}{25}) }$

$\Rightarrow cos\theta = -\frac{4}{5}$

8 0

3 years ago

You buy 3 pairs of pants at an original cost of $24.99 and the sale is buy 1 get the 2nd pair half off. The sales tax is 6%. How

Finger [1]

Answer:

D. $66.23

Step-by-step explanation:

The sale discounts your purchase by half the price of a pair of pants, so you pay for 2.5 pairs of pants. The sale price of the pants is then ...

$24.99 × 2.5 = $62.48

The added tax multiplies this value by 1.06, so you pay ...

1.06 × $62.48 = $66.23

_____

Comment on the answer

Whether you pay $66.23 or $66.22 depends on how the discount is calculated. If you get the benefit of the half-penny (the discount is rounded up), then the sale price is $62.47 and the total is $66.22.

4 0

3 years ago

Factorise the following: A. 4xy-16 B. xy+2xy-x C. 2x²-18x+12 D. 5xy+20x-9y-36

Burka [1]

=4(xy−4)

3xy−x

=x(3y−1)

2x²−18x+12

=2(x²−9x+6)

5xy+20x−9y−36

=(y+4)(5x−9)

6 0

2 years ago