All categories

3 years ago

If b = 3, then 3x + y = 1 and bx - y = 3 are parallel. True or False ...?

1 answer:

4 0

I am absolutely sure that the task <span> b = 3, then 3x + y = 1 and bx - y = 3 is NOT parallel, which means that the statement represented above is FALSE.
To make sure you can check it using : </span> $y=-3x+1

y=3x-3$ Hope now it's obvious. Regards!

You might be interested in

Help please!! i don’t understand this one!

12345 [234]

Answer:

C, D

Step-by-step explanation:

This equation can be solved any of several ways. One that doesn't require much thought is using the quadratic formula.

For ax² +bx +c = 0, the solutions are ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

In the given equation, a=2, b=11, c=5, so this becomes ...

$x=\dfrac{-11\pm\sqrt{11^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-11\pm\sqrt{81}}{4}\\\\x=\dfrac{-11\pm9}{4}=\left\{-\dfrac{20}{4},-\dfrac{2}{4}\right\}=\{-5,-\frac{1}{2}\}$

The solutions are ...

C. x = -5

D. x = -1/2

_____

My personal favorite is using a graphing calculator. The solutions are the x-intercepts of the expression on the left. That is, where its value is zero, as the equation says.

5 0

2 years ago

A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66

Angelina_Jolie [31]

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

$z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score$

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

$z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67$

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962

4 0

3 years ago

Carmen cut a 12 meter piece of cloth into three pieces. The first two pieces were each

astraxan [27]

Answer:

6 Meters long

Step-by-step explanation:

3+3=6

12-6=6

8 0

2 years ago

What is the length of the diagonal of a 10 cm by 15 cm rectangle?

Archy [21]

The length of the diagonal should be 18 if I am not wrong!

Step-by-step explanation:

a2+ b2=c2

so 10x10+15x15=the diagonal

100+225=325

325 squared = 18

8 0

2 years ago

Find QR: 3x+22=10x-41

Tatiana [17]

Answer:

x=9

Step-by-step explanation:

subtract 22 from both sides, simplify 3x = 10x-63, subtract 10x from both sides of the equation, simplify -7x = -63, divide both sides of the equation by the same factor -7x/-7 = -63/-7, then simplify

6 0

2 years ago