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2 years ago

Order the numbers from least (top) to greatest (bottom). -9 -4 |-2| |-3| |-6| |1|

Mathematics

1 answer:

dexar [7]2 years ago

6 0

Answer:

-9, -4, |1|, |-2|, |-3|, |-6|

Step-by-step explanation:

-2,-3,-6 all are positive cause of absolute value

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X(4-k)=p solve for k

den301095 [7]

x(4-k)=p
[x(4-k)=p]/x

4-k=p/x
-4 = -4
-k=p/x-4
k=4-p/x

4 0

2 years ago

Read 2 more answers

The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1

Bas_tet [7]

We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.

Further we know that there are 34 species at 11°s and 26 species at 44°s.

We can express the given information at two ordered pairs as shown below:

$(n,l)=(11,34)\text{ and }(n,l)=(44,26)$

Let us find slope of the line through these points:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424$

Therefore, we can write the equation of line in slope intercept form as:

$n=-0.2424l+b$

Where b is the y intercept, and we can find its value using one of the two points.

$34=-0.2424(11)+b\\34=-2.67+b\\b=34+2.67=36.67$

Therefore, the required equation of the linear function is:

$n=-0.2424l+36.67$

4 0

2 years ago

If I can paint 96 sq ft in 15 minutes how long does it take to paint 1 sq ft

White raven [17]

It takes 0.15625 minutes to paint 1 square feet

Solution:

Given that, I can paint 96 sq ft in 15 minutes

To find: Time taken to paint 1 square feet

From given,

96 square feet is painted in 15 minutes

Let "x" be the time taken to paint 1 square feet

Then, we can say,

96 square feet = 15 minutes

1 square feet = x minutes

This forms a proportion and we can solve the sum by cross multiplying

$96 \times x = 15 \times 1\\\\x = \frac{15}{96}\\\\x = 0.15625$

Thus it takes 0.15625 minutes to paint 1 square feet

8 0

2 years ago

At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a w

Tcecarenko [31]

Answer:

3.08 miles

Step-by-step explanation:

Total distance = 10 miles
Total time = 2 hours
Distance walked = x
Speed walked = 2 mph
Distance cycled = 10 - x
Speed cycled = 15 mph

Using the given data we can have the equation below to the time:

x/2 + (10 - x)/15 = 2
30x/2 + 30(10 - x)/15 = 30(2)
15x + 20 - 2x = 60
13x = 60 - 20
13x = 40
x = 40/13
x = 3.08 miles rounded to 2 decimal places

7 0

2 years ago

Explain why ΔABC cannot be shown to be congruent to ΔCDA.

igomit [66]

There isn't enough info to prove the triangles to be congruent or not. So we can't say for sure either way.

We have angle CAD = angle ACB given by the arc markings, and we know that AC = AC due to the reflexive theorem. However we are missing one third piece of information.

That third piece of info could be....

AD = BC which allows us to use SAS
angle ACD = angle CAB which allows us to use ASA
angle ABC = angle CDA which allows us to use AAS (slight variation of ASA)

Since we don't know any of those three facts, we simply don't have enough information.

side note: If AB = CD, then this leads to SSA which is not a valid congruence theorem. If we had two congruent sides, the angle must be between the two sides, which is what AD = BC allows.

4 0

2 years ago