All categories

3 years ago

What is the slope line that connects the points (-3,5) and (6,11)

Mathematics

1 answer:

Alexeev081 [22]3 years ago

5 0

Answer:

slope-2/3

Step-by-step explanation:

slope formula (y2-y1)/(x2-x1)

plug in the coordinates

(11-5)/(6--3)

two negatives equal a positive

(11-5)/(6+3)

add or subtract the numbers

6/9

simplify

2/3

You might be interested in

What property is illustrated by the fact that 95(27+44)=95.27.+95.44}=?

Oduvanchick [21]

Identity property of addition

4 0

3 years ago

A newspaper reports the following changes in the temperature of a city over 4 days:

Alexeev081 [22]

9514 1404 393

Answer:

a) (2.64 -2/9 -0.35 +5/8)/4

b) perform the sum, then the division, then round as needed

Step-by-step explanation:

a) The average of a number of items is their sum, divided by the number of items. Here, we want the average of 4 changes, so we compute it as the sum of the changes divided by 4.

average change = (2.64 -2/9 -0.35 +5/8)/4

b) My calculator is capable of adding these numbers directly. For a result rounded to the nearest hundredth, it can be a good idea to represent the fractions using at least 3 decimal digits.

So, the steps would be ...

convert fractions to their decimal equivalents, using 3 decimal digits
add up the values
divide by 4
round to hundredths

Performing these steps, we get ...

average change = (2.64 -0.222 -0.35 +0.625)/4 = 2.693/4

average change ≈ 0.67 . . . degrees

The average daily temperature change of a city was 0.67 degrees.

6 0

3 years ago

A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.

ahrayia [7]

Triangle Area = .5 * (base * height)
36 = (base * height) / 2
So let's say base = 9 height 8
If base and height are scaled by a factor if 5 than
base = 45 height 40 and
area = .5 * (45 * 40)
area = 900

Basically, the area increases by a factor of 25.
The base increases by 5 and the height increases by 5 so the area increases by 5*5 = 25

4 0

4 years ago

Please check my homework on Negative Indices!

rusak2 [61]

Our first expression is $(2p^{-3} q^{8} )^{4}$ . Upon distributing the exponent 4 on all the terms, we get:

$(2p^{-3} q^{8} )^{4}=2^{4}(p^{-3})^{4}(q^{8})^{4}=16p^{-12}q^{32}=\frac{16q^{32}}{p^{12}}$

Therefore, your answer is correct for this part. :)

Second expression is $(2m^{-4}n^{5})^{-2}$ . Upon distributing the exponent -2 on all the terms, we get:

$(2m^{-4}n^{5})^{-2}=2^{-2}(m^{-4})^{-2}(n^{5})^{-2}=2^{-2}m^{8}n^{-10}=\frac{m^{8}}{4n^{10}}$

Your second answer is correct too.

Our third expression is $2(5g^{-4}h^{-6})^{2}$ . Upon distributing the exponent 2 on all the terms, we get:

$2(5g^{-4}h^{-6})^{2}=2(5^{2})(g^{-4})^{2}(h^{-6})^{2}=2(25)g^{-8}h^{-12}=\frac{50}{g^{8}h^{12}}$

This one is not correct. Your answer would have been correct, if the exponent were -2 instead of 2 in this part.

Our forth and last expression is $4(2c^{-3}d^{6})^{-5}$ . Upon distributing the exponent -5 on all the terms inside the parenthesis, we get:

$4(2c^{-3}d^{6})^{-5}=4(2^{-5})(c^{-3})^{-5}(d^{6})^{-5}=\frac{4}{2^{5}}(c^{15})(d^{-30})=\frac{4c^{15}}{32d^{30}}=\frac{c^{15}}{8d^{30}}$

Therefore, your answer for this part is also correct.

Looking at your work, I don't think you made a mistake in number 3 also, probably mis-typed the question while writing here :)

3 0

4 years ago

John flips three pennies. • amy peeks and sees that the first coin lands heads. what is the probability of getting all heads?

attashe74 [19]

The sample space would be 27. The probability of getting 3 heads if you flip 3 pennies is 1/27.
Hope it helps! :)

4 0

3 years ago