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olchik [2.2K]
3 years ago
14

What is the equation in point-slope form of the line that passes through the point (−1, −4) and has a slope of –3 ?

Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

Answer:

y + 4 = -3(x + 1)

Step-by-step explanation:

point-slope form : y - y2 = m (x - x2)

In this case m = -3 and x2 = -1, y2 = -4

So

The equation in point-slope form

y + 4 = -3(x + 1)

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Write this small number in standard form. 0.0000000014 *
kap26 [50]

Answer : 1.4 x 10^-9

Step-by-step explanation:

0.0000000014

= 1.4 x 10^-9

3 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST
Elis [28]

Answer:

22,000 miles

Step-by-step explanation:

Circumference of a circle: 2πr (r is the radius)

Substitute the length of the radius given, which is 3500. Also, substitute the approximate value of π, which is 3.14.

Circumference = 2 * 3.14 * 3500

Circumference = 21980

This rounds to about 22,000, so the answer is 22,000 miles.

I hope this helps! Feel free to ask any questions!

6 0
3 years ago
Read 2 more answers
An otter is swimming at - 4.2yo relative to the surface of the water. It dives 6.0 yds desper. After thedive, what is the otter'
k0ka [10]

Answer:

Where to look: Any waterway you’re near! River otters are happy in fresh, brackish and salt water. They’re often seen in coastal areas near the mouths of rivers and creeks. They’re often seen in marshes and wetlands. They’re a little harder to see in vegetated rivers but keep looking, especially when boating. They’re often found in lakes…look where the fish are. In-crowd hint: Check out our otter spotter map to see where they’re often reported!

 

When to look: River otters are most often seen at dusk and dawn, but can be seen at any hour of the day or night.

 

What do I look for? Look for large ripples on the surface of the water, lots of bubbles and a 3 to 4 foot-long animal with a long thick tail. The tail is about a third of the body length of the otter. Otters are dark and sleek in the water. Otters have a large black hairless nose (rhinarium).

 

How do otters swim and move? In the water, river otters do not swim on their backs like sea otters. They can swim along with just their heads showing, they can dive and roll and they often stay underwater for up to 15 or 20 seconds. They also “periscope,” meaning raise their necks far out of the water to see farther. When swimming, they usually carry their bodies just under the surface. They’re very elusive and can “disappear,” into the water, brush, rocks or under overhanging vegetation.

 

On land, river otters are agile, can run quickly and climb trees. They’re small and narrow-bodied, with longer back legs than forelegs, so they move with a humping gait. They’re often seen running across beaches, or along paths near water.

 

There’s a superb Otter/Beaver/Muskrat article with photos and descriptions here.  

SEA OTTER (Enhydra lutris)

In California, sea otters are most often seen around Monterey Bay and Elkhorn Slough. Occasionally we see them in the SF Bay Area. Sea otters are twice the size of river otters, and are never far from the ocean. They have enormous back flippers, and often swim on their backs with their big flippers sticking out of the water. Their tails are short and not as muscular as river otters. They are clumsy on land.

This video by Tom Reynolds shows sea otters first, then river otters. The differences will become obvious!

MUSKRAT (Ondatra zibethicus)

Muskrats are rodents, about 18 inches long, with a thin tail. Like beavers, they swim straight across the water, with their backs at or slightly above water level, without diving and rolling, until it’s time to submerge.

Typical muskrat swimming; note the thin long tail.

Here’s a nice muskrat video.

BEAVER (Castor canadensis)

Beavers are rodents with large orange teeth. They have a very distinctive large, flat tail which slaps the water when they’re startled. Beavers are burly animals, and weigh about twice as much as river otters. Their fur is clumpy when wet. Like muskrats, their bodies are usually at or slightly above water level when they swim.

Here’s a gorgeous beaver, look at that tail!

Here’s our friend Heidi of Worth A Dam in a wonderful video showing the difference between otters and beavers.

HARBOR SEAL (Phoca vitulina)

Harbor seals are seen in the ocean, bays and marshes. They’re quite fat-looking, because they carry a large layer of fat on their bodies to keep them warm in cold waters. Harbor seals have very large heads and big dark eyes. They startle easily, and dive under water with an enormous splash if you surprise them while kayaking. They’re grayish, with mottled fur, sometimes paler gray toward white.

Here’s a fascinating video of a river otter protecting its prey from a curious harbor seal. Many thanks to the Sonoma County Water Agency for sharing with us!

Step-by-step explanation:

3 0
3 years ago
Are the polygons below similar? If they are, write a statement and give the scale factor.
olchik [2.2K]

Answer:

Yes they are similar. Triangle ABC is similar to Triangle FED. The scale factor from large to small is 3/4 or small to large is 4/3.

Step-by-step explanation:

To determine if two triangles are similar, their corresponding sides create equal ratios.

\frac{AB}{FE} = \frac{BC}{ED}= \frac{CA}{FD}   \\\\\frac{15}{20} =\frac{12}{16} =\frac{18}{24} \\\\ \frac{3}{4} =\frac{3}{4} =\frac{3}{4}

This ratio is the scale factor depending on which is the pre-image. 3/4 or 4/3.

8 0
3 years ago
A lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid. The
OlgaM077 [116]

Answer:

240 ml of 1.5% solution and 360 ml of 4% solution should be used.

Step-by-step explanation:

Since a lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid, and the assistant has solutions of 1.5% and 4% in supply at the lab, to determine the number of milliliters of the 1.5% solution and the number of milliliters of the 4% solution that must be used, the following calculations must be performed:

50 x 0.015 + 50 x 0.04 = 0.75 + 2 = 2.75

40 x 0.015 + 60 x 0.04 = 0.6 + 2.4 = 3

600 x 0.4 = 240

Therefore, 240 ml of 1.5% solution and 360 ml of 4% solution should be used.

4 0
3 years ago
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