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2 years ago

Which of these lines is perpendicular to the line y = 3x + 2?

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

3 0

Answer:

Step-by-step explanation:

We have given the the equation of line as y = 3x+2

We know the equation of line as y = mx+c , here m is slope and c is intercept

On comparing with standard equation of line m = 3

We know that slope of perpendicular line is $=\frac{-1}{m}$

So the slope of the line which is perpendicular to y = 3x+2 will be $=\frac{-1}{3}$

Now (a) Line is given as $y=\frac{1}{3}x+3$ its slope is $\frac{1}{3}$ so it will be not perpendicular

(b) Line is given as $y=\frac{1}{3}x+2$ its slope is $\frac{1}{3}$ so it will be not perpendicular

(d) Line is given as $y=3x+\frac{1}{2}$ its slope is 3 so it will not perpendicular to the line y = 3x+2

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If two sides in one triangle are 9 and 21 , then the third side might be

slamgirl [31]

Answer:

Step-by-step explanation:

there is a rule that says that if you add any 2 sides, it should be more than the third. 9+21 is greater than 13. 21+13 is greater than 9. 13 is the only number which if you add 9 to it it will be greater than 21. 12 will equal 21, but it still wont work.

hope this helps :))

7 0

1 year ago

I need the equation for this ASAP!

Sindrei [870]

Answer:

5.714 liters of the 5% solution and 4.286 of the 40%.

Step-by-step explanation:

Let x be the volume of 40% solution and y = volume of the 5% solution.

x + y = 10

0.40x + 0.05y = 0.20(x + y)

From the first equation x = 10 -y so we have:

0.40(10 - y) + 0.05y = 0.20( 10 - y + y)

4 - 0.40y + 0.05y = 2

-0.35y = -2

y = 5.714 liters of the 5%.

and x = 10 - 5.714 = 4.286 liters of the 40% solution.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A yo-yo factory has fixed operating costs of $4500 per day plus costs of $1.20 per yo-yo produced. If a yo-yo sells for $4.80, w

Ede4ka [16]

4500 + 1.20x < 4.80x
4500 < 4.80x - 1.20x
4500 < 3.60x
4500/3.60 < x
1250 < x.......minimum number would be 1251

5 0

2 years ago

A store owner is interested in opening a second shop. She wants to estimate the true average daily revenue of her current shop t

Alex

Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:
$\overline{x} \pm \frac{zs}{\sqrt n}$
Where $\overline{x}$ is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:
$s=\sqrt{315900.20}=\$562.05$
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
$3472.00\pm \frac{1.960\cdot 562.05}{\sqrt{60}}\\ \$3472.00\pm142.22$

6 0

3 years ago

The equation h(t)=−16t2+19t+110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff.

zhuklara [117]

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3 0

2 years ago