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Vika [28.1K]
2 years ago
8

HELP GIVING FREE POINTS PLUS BRAINLIEST FOR CORRECT ANSWERS!!!

Mathematics
1 answer:
Yuki888 [10]2 years ago
4 0
Rule: lines that are parallel have equal gradients.

Therefore y=-4/3x + b.

To find b, you must sub the point (6,2) into the equation y=-4/3x + b.

2= -4/3 x 6 + b
b=-10 (using algebra to solve)

Therefore y=-4/3x - 10.
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Which of the following is a proper fraction 7/6 4/3 1/2 3/3
astraxan [27]
1/2 is the proper fraction.
7 0
3 years ago
Read 2 more answers
2<br> Find the slope from the 2 points.<br> (-12,-9) and ( 18, 6)<br> -2<br> -1/2<br> 2<br> 1/2
lawyer [7]

Step-by-step explanation:

the slope of a line is the ratio y/x.

that means when going from one point to the other, how many units is y changing, when x changes a certain number of units.

so, going from one point to the other here, x changes by 30 units (from -12 to +18). and y changes 15 units (from -9 to 6).

therefore, the slope is

15/30 = 1/2

8 0
2 years ago
Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES
Bas_tet [7]

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

\frac{32}{12},

and the fraction that represents Bob's rate is:

\frac{64}{25}\text{.}

Simplifying the above fractions, we get:

\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}

Since:

\frac{8}{3}\ne\frac{64}{25}

then Bob and Joe did not work at the same rate.

Answer:

No, Bob and Joe did not work at the same rate.

4 0
1 year ago
Which of these numbers is between 1 and 3/4 ?<br><br>PLEASE HELP
Elanso [62]
Since I don't see attachment, I guess the solution will be as follows:

1 & 3/4 , since 1 = 4/4, then it could be rewritten :


4/4 & 3/4, hence between these 2 fraction there is 2/4 or 1/2.
5 0
3 years ago
If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in
Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, of the box with a square base are described below:

A_{s} = l^{2}+h\cdot l (1)

V = l^{2}\cdot h (2)

Where:

l - Side length of the base, in centimeters.

h - Height of the box, in centimeters.

By (2), we clear h within the formula:

h = \frac{V}{l^{2}}

And we apply in (1) and simplify the resulting expression:

A_{s} = l^{2}+ \frac{V}{l}

A_{s}\cdot l = l^{3}+V

V = A_{s}\cdot l -l^{3} (3)

Then, we find the first and second derivatives of this expression:

V' = A_{s}-3\cdot l^{2} (4)

V'' = -6\cdot l (5)

If V' = 0 and A_{s} = 30000\,cm^{2}, then we find the critical value of the side length of the base is:

30000-3\cdot l^{2} = 0

3\cdot l^{2} = 30000

l = 100\,cm

Then, we evaluate this result in the expression of the second derivative:

V'' = -600

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

V = 30000\cdot l - l^{3}

V = 2000000\,cm^{3}

The largest possible volume of the box is 2000000 cubic meters.

4 0
2 years ago
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