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Vesnalui [34]
3 years ago
6

Number sentences for these 4?

Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0
A. 15-35=-20
b. -2+7=5
c. -10+14=4
d. 60-100=-40
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Determine which lines in the diagram are parallel. A) a || b B) b || c C) a || c D) b || d
spayn [35]

Line a and line c are parallel lines that are given as a || c. Then the correct option is C.

<h3>How are parallel straight lines related?</h3>

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

Then we have

The distance between line a and line c is constant. Then line a and line c are parallel lines.

Line a || line c. Then the correct option is C.

Learn more about parallel lines here:

brainly.com/question/13857011

#SPJ1

7 0
2 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
I must solve for y: x=1/3yz
7nadin3 [17]
X = 1/3 yz
3x = yz
y = 3x/z
6 0
3 years ago
The sum of two numbers is 40 and the difference of these numbers is 14. Write a system of equations to represent this scenario a
ExtremeBDS [4]

Answer:

26

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I bought a box of granola bars at the store that has a volume of 210 cubic centimeters
Naya [18.7K]

Answer:

a and c

Step-by-step explanation:

The volume (V) of a cuboid is

V = lwh ( l is length, w is width, h is height )

The volume is given as 210 cm³

Check each of the dimensions given to determine which give the correct volume

a

V = 15 × 2 × 7 = 210 ← correct volume

b

V = 14 × 3 × 7 = 294 ← incorrect volume

c

V = 7 × 3 × 10 = 210 ← correct volume

Hence a and c  could be the dimensions of the box


6 0
3 years ago
Read 2 more answers
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