All categories

3 years ago

What equation passes through (0,5) and (-4,-1)

Mathematics

1 answer:

kogti [31]3 years ago

7 0

Answer: y = 3/2x + 5

Step-by-step explanation:

Find the slope/gradient:

$\frac{-1-5}{-4-0} = \frac{-6}{-4} = \frac{3}{2}$

Plug in a point to the equation:

$5 = \frac{3}{2}(0) + b$

Solve for b:

$5 = b$

New equation:

$y = \frac{3}{2}x + 5$

You might be interested in

A rule for a sequence of numbers is given.

Sliva [168]

D u got to add a lil bit and that you do division

6 0

3 years ago

A 12,000-lb killer whale might eat as much as 14,000 lb of fish per month (assume a 30-day month). If the average weight of a ce

brilliants [131]

Answer:

2196 fish

Step-by-step explanation:

Weight of fish that the killer whale might eat in a month (30 days) = 14,000 lb

Weight of the fish that killer whale might eat in a day = $\frac{14000}{30} = \frac{1400}{3}$ lb.

Average weight of the fish that killer whale eats = 3.4 oz

Since,

1 pound(lb) = 16 ounces(oz)

So,

Weight of the fish that killer whale might eat in a day in ounces(oz) = $\frac{1400}{3} \times 16=\frac{22400}{3}$ oz

Since, a certain fish weighs 3.4 oz, in order to find the number of fish that killer whale must eat, we must divide the total weight in ounces by 3.4 ounces.

So, the number of fish that killer whale would eat = $\frac{22400}{3} \div 3.4 = 2196$ fish

Thus, the killer whale needs to eat 2196 fish.

8 0

4 years ago

If a crew of 4 workers complete the job in 10 hours, how long will it take 5 workers to complete the same job?

Ulleksa [173]

We can solve using proportions
$\frac{4}{10} = \frac{5}{x}$
or 4 works is to 10 hours as 5 workers is to x hours.
to solve we cross multiply to get
$4x = 50 \\ x = \frac{50}{4}$
so it will take 5 men 12.5 hours!

6 0

3 years ago

Which transformation maps the large triangle onto the small triangle? dilation reflection rotation translation

sweet [91]

A rotation transformation is where you turn a figure about a given point. The point about which the object is rotated can be inside the figure or anywhere outside it. There must be no change in shape or size of the object.

A reflection of an object is the 'flip' of that object over a line, called the line of reflection.

A translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized.

All these three transformations are rigid - preserve the figure sizes.

A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change.

Answer: dilation maps the large triangle onto the small triangle

7 0

4 years ago

Read 2 more answers

Find Area of A regular polygon. <br> A square with a side of 5?

Daniel [21]

Area of square is

$A=a^2$