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2 years ago

The slope of the line that contains the points (-2, 10) and (3, -5) is -3. What is the y-intercept?

Mathematics

1 answer:

Paladinen [302]2 years ago

7 0

Answer:

The y-intercept of this line is (0, 4)

Step-by-step explanation:

Given that the slope of this line is -3, we know the general form of its equation is y = -3x + b. Arbitrarily choosing the first point, (-2, 10), and substituting -2 for x and 10 for y, we find the y-intercept as follows:

10 = -3(-2) + b, or

10 = 6 + b, or

b = 4 (Answer C)

The y-intercept of this line is (0, 4)

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One cubic meter of water weighs approximately 2200 pounds. There are 100 cm in one meter. If you have a box-shaped fish tank tha

Diano4ka-milaya [45]

Answer:

158.4 pounds

Step-by-step explanation:

first find the volume of the tank

$V = 30 \times 30 \times 80$

$V = 72000 cm^3$

to convert this to m^3 we know that 1m = 100cm

$V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3$

$V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}^3}{100^3\,\text{cm}^3}\right)$

the cm^3 cancel out.

$V = \dfrac{72000}{100^3} m^3$

$V = 0.072\,m^3$

by simply converting the side-lengths to meters beforehand can give you this answer directly:

$V = 0.3 \times 0.3 \times 0.8 = 0.072 m^3$

it is given that 1 meter cube of water weighs about 2200 pounds.

$1\,m^3 = 2200 \,\text{lb}$

multiply both sides with 0.072 to find our answer:

$1\,m^3 \times 0.072 = 2200 \times 0.072 \,\text{lb}$

$0.072\,m^3 = 158.4 \,\text{lb}$

hence the weight of the water in the tank would be 158.4 pounds!

3 0

3 years ago

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the origin

belka [17]

Answer:b

Step-by-step explanation:

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2 years ago

Given the figure below, find the values of x and z.

stepan [7]

Answer:

z = 96; x = 8.

Step-by-step explanation:

z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.

The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.

5x + 44 + 96 = 180

5x + 140 = 180

5x = 40

x = 8

Hope this helps!

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3 years ago

Help me with this!!!!!!

sveta [45]

Answer:

Step-by-step explanation:

IJ≅IH so they are the same length

IH = 82 = IJ

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2 years ago

Find the equation of the line perpendicularly to y=3x - 6 that runs through the point (-1, -3), need help ASAP

mr_godi [17]

Answer:

y = 1/3x - 10/3

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of one another so m = -1/3

Given (-1,-3)

y = mx + b

-3 = -1/3(-1) + b

-9/3 = 1/3 + b

b = -10/3

so y = 1/3x - 10/3

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2 years ago