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padilas [110]
3 years ago
7

Why do we use the quadratic formula as opposed to trying to solve using factoring

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0
Sometimes there is no apparent way to factor it by hand /(the factors are decimals or imaginary). To try and factor these problems is nearly impossible in your head.
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44.50 strawberries for 10 smoothies
89 strawberries for 20
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2 years ago
Find the perimeter of the triangle with vertices (−2,2), (0,4), and (1,−2). the perimeter is . round to the nearest hundredth.
mina [271]
The answer is about 12.5 (when rounded to the nearest 10th). 

This can be found using the distance formula between each point. One distance is 5, one is \sqrt{2} and one is \sqrt{37}. Added together gives you the answer above. 
4 0
3 years ago
I need help with all of these questions, I would really appreciate it if you would help me, thank you! Also if you would like to
kobusy [5.1K]

Answer: 10. Answer is -3

Step-by-step explanation:

6 0
2 years ago
A circle has its center at the center of a square with 26-inch sides. Using 3.14 for pi, find the area of the square not covered
AlladinOne [14]
For squrae
area=side²
perimiter=4(side)

for circle
area=pir²
circumference=2pir

side=diameter, diameter/2=radius=side/2


find area not covered
that is areasquare-areacircle
areasquare=26²=676 sqauare inches
areaciecle, diameter=side, 26/2=13, area=pi13²=169*3.14=530.66 square inches

areanotcovered=676-530.66=145.34 square inches not coverd


ratio of perimiter to circumferece
perimiter=4*26=104
circumference=2pir=2pi13=26pi=26*3.14=81.64
circumference to perimiter is 81.64/104=0.785

7 0
3 years ago
Read 2 more answers
Explain how convection currents cause tectonic plates to move. Your explanation should be 1-3 sentences long. Use and bold the f
tester [92]

Answer:

Step-by-step explanation:

Convection is the process by which less dense material rises and more dense material sinks. The former are said to be more “buoyant” than the latter, and the vertical forces due to density difference are referred to as buoyancy forces. Rocks, water, and air—indeed, most materials—expand and thus become less dense as temperature increases, so convection is typically driven by temperature differences. In Earth’s mantle hot rock rises and slightly cooler rock sinks.

Convection drives our dynamic planet. The planet’s liquid outer core convects, creating the Earth’s magnetic field; the ocean convects, enabling exchange of CO2 with the atmosphere and transporting nutrients from depth that support important fisheries; and the atmosphere convects, acting in concert with the ocean to transport heat and moisture around the planet to create climate.

Everyday examples of convection in liquids include lava lamps or water heating on a stove. But the mantle is, in general, solid. It turns out that rocks, along with most other solids, flow by a solid-state, creeping motion, especially when they are hot and given enough time. This is what happens in the mantle. Based on observations of the rates at which the surface of Earth moves, geologists estimate the mantle convectively flows at rates of several centimeters a year.

The heat driving mantle convection has three sources. "Primordial" heat (left over from the accretion and differentiation that led to the formation of Earth’s core) contributes 20 to 50% of the heat. Heating due to the decay of radioactive isotopes (mainly potassium, thorium, and uranium) contributes 50 to 80%. Thirdly, tidal friction from the Moon’s pull on the Earth contributes perhaps 10%. Mantle convection is the main mechanism by which this heat escapes from the interior of Earth.

Plate tectonics refers to the movement of the rigid plates around the surface of Earth. The outer portion of the planet, or lithosphere, is relatively rigid because it is relatively cold. The lithosphere varies in thickness but is typically a hundred or so kilometers thick. It includes the upper mantle and both the continental and oceanic crust. The mantle’s convective motions break the lithosphere into plates and move them around the surface of the planet. These plates may move away from, move by, or collide with each other. This process forms ocean basins, shifts continents, and pushes up mountains.

Tectonic plates break apart and diverge where the mantle beneath is upwelling. In such regions mid-ocean ridges develop, and new lithosphere and crust form to replace the material that is moving away. Where plates converge, usually where the mantle is downwelling, one plate is forced beneath another. When this involves plates with embedded continental crust, mountain belts such as the Alps and Himalayas form. If the collision involves plates with oceanic crust, subduction zones form where one plate descends into the mantle beneath the other plate. Above these subduction zone chains of volcanoes and island arcs like the Aleutians, develop.

The churning of the mantle also affects the chemical composition of the ocean and has a long-term influence on climate. Mantle convection is the main way heat from Earth’s interior is transported to its surface, and this heat escapes principally through mid-ocean ridges. In fact, the connected mid-ocean ridge system is in essence a 80,000 km long volcano. Escaping heat along these ridges causes hot water to circulate through the crust in a “hydrothermal system.” As seawater reacts with the hot rocks, its composition changes. Over the course of several million years, all of the water in the world's oceans cycles through the oceanic crust at mid-ocean ridges. This is how the hydrothermal circulation influences ocean composition.

How about atmospheric and oceanic circulation? Atmospheric circulation involves the movement of large air masses, and mountains act as barriers, redirecting circulation in the atmosphere. Also, as tectonic plates move, continents and ocean basins open and close. The position of continents and ocean basins strongly influences global ocean circulation, which exerts a major, albeit, long-term, influence on climate.

8 0
3 years ago
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