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3 years ago

What is the slope of the line that contains the points ( 6, 3) and (4, 5)?

Mathematics

1 answer:

nexus9112 [7]3 years ago

6 0

The slope of the line that contains the points (6,3) and (4, 5) is -1.

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Identify the solution of the system -2x-4y=1 12y=-6x-3

RoseWind [281]

-2x - 4y = 1
12y = -6x - 3
12 12
 y = -0.5x - 0.25

-2x - 4(-0.5x - 0.25) = 1
-2x + 2x + 1 = 1
0x + 1 = 1
 - 1 - 1
 0x = 0
 0 0
 x = 0
-2(0) - 4y = 1
0 - 4y = 1
-4y = 1
-4 -4
 y = -0.25
(x, y) = (0,-0.25)

6 0

3 years ago

Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC

Kamila [148]

The side b is opposite to the angle B, applying the law of the sines, we have:

 $\frac{a}{sinA} = \frac{b}{sinB}$
$\frac{20}{sin30^0} = \frac{b}{sin45^0}$
$\frac{20}{ \frac{1}{2} } = \frac{b}{ \frac{ \sqrt{2} }{2} }$
$20* \frac{ \sqrt{2} }{2} = b* \frac{1}{2}$
$\frac{20 \sqrt{2} }{2} = \frac{b}{2}$
$2*b =2*20 \sqrt{2}$
$2b = 40 \sqrt{2}$
$b = \frac{40 \sqrt{2} }{2}$
$\boxed{b = 20 \sqrt{2} }$

6 0

3 years ago

Read 2 more answers

In melanie's styling salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa

vovikov84 [41]

They will require between 18.42 and 31.58 minutes.

We want the middle 90%. The two probability values associated with this would be 0.95 and 0.05; this would leave 5% below and 5% above, giving us the middle 90%.

Using a z-table (http://www.z-table.com) we see that the z-score associated with an area to the left of 0.05 is between -1.64 and -1.65; since it is equally distant from both we will use -1.645.

The z-score associated with an area of the left of 0.95 is between 1.64 and 1.65; since it is equally distant from both we will use 1.645.

The formula for a z-score is

z = (X-μ)/σ
-1.645 = (X-25)/4

Multiplying by 4 on both sides,
-1.645(4) = X-25
-6.58 = X-25

Adding 25 to both sides,
-6.58+25 = X
18.42 = X

For the upper bound,
1.645 = (X-25)/4

Multiplying both sides by 4,
1.645(4) = X-25
6.58 = X-25

Adding 25 to both sides,
6.58+25 = X
31.58 = X

The times are between 18.42 and 31.58 minutes.

6 0

3 years ago

What would this be? I know its not 72.

nikdorinn [45]

Answer:

324 units

Step-by-step explanation:

First find the measurements of the square.

24 ÷ 4 = 6

Each side of the square is 6 units.

Now scale by 3

6 × 3 = 18

Each side of the square is now 18 units

Find the area:

18 × 18 = 324

7 0

2 years ago

What percent of 40 is 16?

kotegsom [21]

Answer: E. 40

Step-by-step explanation:

Concept:

- When you encounter questions that state "what percent of [a] is [b]" then it means asking for a fraction of b to a, which is "(b/a)×100%".

- If you are still confused, I would provide some examples

What percent of 20 is 5: (5/20)×100% = 25%
What percent of 10 is 2: (2/10)×100% = 20%

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

Solve:

(16/40)×100% = 0.4 × 100% = 40%

Hope this helps!! :)

Please let me know if you have any questions

5 0

3 years ago