All categories

3 years ago

Which equation below will give a graph of a line parallel to the graph of -2x - 4y = 3?

Mathematics

1 answer:

galben [10]3 years ago

7 0

Answer:

Any choice that has a slope of -1/2

Step-by-step explanation:

-2x - 4y = 3

-4y = 2x + 3

4y = -2x - 3

y = -1/2x -3/4

y = mx + b

m = slope

You might be interested in

There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl

insens350 [35]

We're told that

$P(A\cap B)=0.15$

$P(A\cup B)^C=0.06\implies P(A\cup B)=0.94$

$P(B\mid A)=P(B^C\mid A)=0.5$

where the last fact is due to the law of total probability:

$P(A)=P(A\cap B)+P(A\cap B^C)$

$\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)$

$\implies 1=P(B\mid A)+P(B^C\mid A)$

so that $B\mid A$ and $B^C\mid A$ are complementary.

By definition of conditional probability, we have

$P(B\mid A)=P(B^C\mid A)$

$\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}$

$\implies P(A\cap B)=P(A\cap B^C)$

We make use of the addition rule and complementary probabilities to rewrite this as

$P(A\cap B)=P(A\cap B^C)$

$\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)$

$\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)$

$\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]$

$\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]$

$\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C$

$\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)$

By the law of total probability,

$P(B)=P(A\cap B)+P(A^C\cap B)$

$\implies P(A^C\cap B)=P(B)-P(A\cap B)$

and substituting this into $(*)$ gives

$2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]$

$\implies P(B)=P(A\cup B)-P(A\cap B)$

$\implies P(B)=0.94-0.15=\boxed{0.79}$

8 0

3 years ago

Hey need some help with this problem, its trigonometry with right triangles using SohCahToa if you can give me a hand it would b

Firlakuza [10]

For the given triangle, the value of x equals 30.9892 units.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.

To determine the value of x, we determine the value of the tan of the given triangle.

To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.

$tan A = \frac{oppositeside}{adjacent side}.$

Step 2:

The length of the opposite side = 26 units.

The length of the adjacent side = x units.

$tan A = \frac{oppositeside}{adjacent side}, tan 40 = 0.8390, tan A = \frac{26}{x} .$

$0.8390 = \frac{26}{x} , x = \frac{26}{0.8390} = 30.9892.$

So x measures 30.9892 units.

6 0

3 years ago

Solve the triangle for x.

Damm [24]

Answer:

d) 86.2 degrees

x = 86.20°

Attached is the image used in the question;

Step-by-step explanation:

Applying the law of cosine;

Cos C = (a² + b² - c²)/2ab

Where;

Angle C = x

c = 13 ft

b = 9ft

a = 10ft

Substituting into the equation;

Cos x = (10² + 9² - 13²)/(2×10×9)

Cos x = 0.0667

x = cos⁻¹(0.0667)

x = 86.20°

4 0

3 years ago

Find the measure of the missing angle.<br> A<br> 43°<br> Help ASAP plz

irinina [24]

Answer:

Step-by-step explanation:

The missing angle is complementary to the angle shown and together they from 90.

Your missing angle is 90 - 43

6 0

3 years ago

Can someone help me pleaseeee

aliya0001 [1]

Answer:

For 20 tickets its 35 dollars

For 50 tickets its 87.50 dollars

For r tickets its 140 dollars

Step-by-step explanation:

3 0

3 years ago