mes.
monthly
(Chp.3)
(40) The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find
the two numbers.

Answers

Answer 1
Question:-

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

Solution:-

Let the larger number be x

And, the square of the smaller number be 8x

ATQ ,

x² − 8x = 180

⇒ x² − 8x − 180 = 0

⇒ x² − (18 − 10)x − 180 = 0

⇒ x² − 18x + 10x − 180 = 0

⇒ x (x − 18) + 10(x − 18) = 0

⇒ (x − 18) (x + 10) = 0

⇒ x − 18 = 0, x + 10 = 0

⇒ x = 18, x = −10

⇒ x = −10, 18

[tex] \therefore [/tex] Either, x = −10 and x = 18

x = 18 (Positive value)

Now, the square of the smaller number = 8x = 8 × 18 = 144

So, the square of the smaller number = [tex]\sqrt{144} [/tex] = 12

The two numbers are 18 and 12. [Answer]

Related Questions

Which statement describes ionic bonds?
A) a lattice of ions in a sea of electrons.
B) electrostatic attraction between oppositely charged ions.
C) the sharing of electrons between atoms to gain a noble gas configuration.
D) the transfer of electrons from atoms of a non-metal to the atoms of a metal.

Answers

D or A copy of the papers in my

100 pts Horticulture (HURRY)
Which of the following corn pests causes galls to develop on the plant?
blight
rust
smut
mildew

Answers

Answer:

Option C, Smut

Explanation:

Corn smut is a condition in which mushroom-like tumors or galls appear on different part of the plant. This is caused by fungus Ustilago zeae. Corn smut is edible and appears grayish white with spony texture in the early stages of the infection promptly found on corn ear or tassel.

Hence, option C is correct

option c is the right answer❤️

what do atom, molecules, and elements have in common

Answers

Answer:

Solids, liquids, gases - all matter - are made up of atoms (or other things, like molecules, that are made from atoms)! ELEMENTS are the kinds of atoms that we can have. Carbon is an element, hydrogen is an element, and so is oxygen. ... Atoms can join together - they form bonds together - to make MOLECULES.

help pls pls pls I really need this answer

Answers

Answer:

I never did this but i think its d 37.5٪ lmk if i got it right pls and srry if i didnt

If the speed of a wave is 150 m/s and its frequency is 2 Hz, what is its wavelength?

A. 300m
B. 75m
C. 152m
D. 148m

Answers

Answer:

75m

Explanation:

PLZ HELP ME!! NEED ANSWER ASAP!!! I WILL GIVE BRAINLIST!!!
PLZ ANSWER CORRECTLY.
Picture is below and Thank you
What do the unstable isotopes have in common?

Select one:
a. more protons than neutrons
b. an odd number of protons
c. more neutrons than protons
d. an odd number of neutrons
e. an odd number of electrons

Answers

Answer: c. more neutrons than protons

Explanation: i just took the quiz haha

C time
2. An instrument used to measure force is
B. spring balance
A ruler
D) wind vane
C. thermometer
of ford​

Answers

Answer:

B. Spring balance - a device used for measuring the weight or force of gravity acting on an object.

Explanation:

A Force is any interaction that changes the motion or position of an obkpjectbthatbit is interacting with. Whenever there is an interaction between two objects, there is a force exerted by each of the objects on one themselves.

Forces are generally divided into contact forces and non-contact over field forces.

In contact forces, the two objects physically in contact with each other. Examples of contact forces are push or pull forces, frictional forces, tensional forces, spring forces, etc.

Non-contact forces are forces in which the two objects interacting do no need to be physically in contact with one another. Examples include, gravitational forces, magnetic forces, electrical forces, etc.

Instruments used in measuring forces are known as force gauges.

From the instruments listed above:

A. A ruler is an instrument used in measuring length

B. Spring balance is a device used for measuring the weight or force of gravity acting on an object.

C. A thermometer is an instrument used in measuring temperature

D. A windbvane is an instrument used in measuring wind direction.

An unknown mass of Al absorbs 187.9 J of heat and increases its temperature from 23.5 °C to 35.6 °C. What is the mass of the
aluminum?
Where:
Specific Heat of Aluminum is = 0.900 J/gºC

Answers

Answer:

mass = 17.2 grams

Explanation:

q = mcΔT => m = q/cΔT = 187j / (0.90j/g°C)(35.6°C - 23.5°C) = 17.2g

Spirited Away..............

Answers

Answer:

I'm not sure what your asking

Explanation:

whats the question......

Answer:

I don't understand you. Please elaborate

An equinox occurs when the:

sun is farthest away from the equator
sun is directly over the equator
north pole is tilted away from the sun
south pole is tilted away from the sun

Answers

Answer: sun is directly over the equator

Explanation:

There are only two times of the year when the Earth's axis is tilted neither toward nor away from the sun, resulting in a "nearly" equal amount of daylight and darkness at all latitudes.

Does wasting water also waste energy? Explain your reasoning.

Answers

Answer:

Yes.

Explanation:

Wasting household water does not ultimately remove that water from the global water cycle, but it does remove it from the portion of the water cycle that is readily accessible and usable by humans. Also, "wasting" water wastes the energy and resources that were used to process and deliver the water.

Answer:

I feel like there should be more parts to this question but I think it depends on how you got your water. If you waste water after you got it from a local stream yourself, you wasted your body energy but no real electricity of any kind. If the water is processed and filtered and you end up wasting it, I guess it counts as energy being wasted too? Because the sole purpose was to bring you clean water but you didn't utilize it

Compound Q decolorizes bromine water. Compound Q has two carbon atoms in each molecule. Which statement about compound Q is correct?


a) It contains carbon-hydrogen double bonds.



b) It has six hydrogen atoms per molecule.


c) It has two carbon-carbon double bonds.


d) It is produced by cracking alkanes.

Answers

C

Explanation :
Alkene decolorizes water so it has a C=C

The statement " It has two carbon-carbon double bonds" is correct. because Q is a kind of unsaturated hydrocarbon.

What is unsaturated hydrocarbon?

The type of compound which contain double bond or triple bond can be considered as unsaturated hydrocarbon. Unsaturated hydrocarbon can decolorized bromine water.

Two kinds of unsaturated hydrocarbon will obtain, alkene and alkyne.

To know more about unsaturated hydrocarbon click here.

https://brainly.com/question/4048486.

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Why might an organism have more than one arrow coming from them in the food web

Answers

They may eat more than one other organism.

How can a chemical reaction be sped up? Select from the drop-down menu to correctly complete the statement. Add a Choose... that is unaffected by a reaction. the choices are, A: catalyst B: coefficient C: product

Answers

Answer:

A: catalyst

Explanation:

In Chemistry, the rate of reaction of chemical elements (reactants) can be sped to produce a chemical compound or elements (products), through the addition of a catalyst that is unaffected by the reaction.

This ultimately implies that, to speed up a chemical reaction, add a catalyst that is unaffected by a reaction.

For example, an enzyme refers to a biological catalyst that is typically used to speed up (accelerate) the rate of a chemical reaction by lowering the activation energy of its reactants.

An enzyme can be defined as a biological catalyst that typically lowers the activation energy of a biological reaction. When the activation energy of a reaction is low, the rate of the reaction would be faster. Therefore, an enzyme speeds or catalyzes the rate of a reaction by lowering its activation energy.

Generally, an increase in temperature increases or speeds up the rate of a reaction while low temperature limits or reduces the rate of a reaction. The optimal temperature for enzymes in the human body is around 37 degrees celsius.

N sub 2 +3H sub 2 rightwards arrow 2NH sub If 6 liters of hydrogen gas are used, how many liters of nitrogen gas will be needed for the above reaction at STP

Answers

Answer:

2L of nitrogen gas will be needed

Explanation:

Based on the following reaction:

N₂ + 3H₂ → 2NH₃

1 mole of nitrogen reacts with 3 moles of hydrogen to produce 2 moles of ammonia.

If 6L of hydrogen (In a gas, the volume is directly proportional to the moles, Avogadro's law) react, the volume of nitrogen gas required will be:

6L H₂ * (1mol N₂ / 3 moles H₂) =

2L of nitrogen gas will be needed

1. Describe how an acidic solution forms when HCl is mixed in water and how a basic solution forms when NaOH is mixed in water.

Answers

Answer:

Dissociation

Explanation:

When HCl and NaOH are mixed with water, the HCl and NaOH molecules interacts with the water, forming what is known as ions. Ions are atoms with electric charge.

When HCl, it forms H+ and Cl-. The mixture is acid because what define a mixture as acid is the amount of H+ ions.

When NaOH mixes with water, it forms Na+ and OH- ions. The amount of OH- ions in a mixture defines it as basic.

Calcium hydroxide, Ca(OH)2, is an ionic compound with a solubility product constant, Ksp, of 6.5×10–6. Calculate the solubility of this compound in pure water.

Answers

Answer: The solubility of this compound in pure water is 0.012 M

Explanation:

Solubility product is defined as the equilibrium constant in which a solid ionic compound is dissolved to produce its ions in solution. It is represented as [tex]K_{sp}[/tex]

The equation for the ionization of the  is given as:

[tex]Ca(OH)_2\rightarrow Ca^{2+}+2OH^-[/tex]  

By stoichiometry of the reaction:

1 mole of  [tex]Ca(OH)_2[/tex] gives 1 mole of [tex]Ca^{2+}[/tex] and 2 mole of [tex]OH^-[/tex]

When the solubility of  [tex]Ca(OH)_2[/tex] is S moles/liter, then the solubility of [tex]Ca^{2+}[/tex]  will be S moles\liter and solubility of [tex]OH^-[/tex] will be 2S moles/liter.

[tex]K_{sp}=[Ca^{2+}][OH^{-}]^2[/tex]

[tex]6.5\times 10^{-6}=[S][2S]^2[/tex]

[tex]S=0.012M[/tex]

Thus solubility of this compound in pure water is 0.012 M

A car with a mass of 3,500lbs accelerates negatively from 35m/s to 8m/s in 8s. What is the
car's negative acceleration?

Answers

Answer:

[tex]a=-3.37\ m/s^2[/tex]

Explanation:

Given that,

A car accelerates negatively from 35m/s to 8m/s in 8s.

We need to find the car's acceleration.

Initial speed, u = 35 m/s

Final speed, v = 8 m/s

Time, t = 8 s

The acceleration of an object is equal to the rate of change of velocity. So,

[tex]a=\dfrac{v-u}{t}[/tex]

Put all the values,

[tex]a=\dfrac{8-35}{8}\\\\a=-3.37\ m/s^2[/tex]

So, the acceleration of the car is equal to [tex]-3.37\ m/s^2[/tex].

Choose the larger atom from each pair, if possible.
a. Sn or Si,
b. Br or Ga,
c. Sn or Bi,
d. Se or Sn

Answers

Answer:

a. Sn or Si ⇒ Sn

b. Br or Ga ⇒ Ga

c. Sn or Bi ⇒ similar in size

d. Se or Sn ⇒ Sn

Explanation:

The larger atom has a larger atomic radius. We have to consider how varies the atomic radius for chemical elements in the Periodic Table. In a group (column), the atomic radius increases from top to bottom while in a period (file), it increases from right to left.

a. Sn or Si ⇒ Sn

They are in the same group. Sn is on the top, so it has a larger atomic radius.

b. Br or Ga ⇒ Ga

They are in the same period. Ga is located at the left so it has a larger atomic radius.

c. Sn or Bi ⇒ similar

They are not in the same group neither the same period. Bi is located more at the bottom, so it would be larger than Sn, but Bi is also at the right side, so it would be smaller than Bi. Thus, they have comparable sizes.

d. Se or Sn⇒ Sn

They are not in the same group neither the same period. Se is located at the top and right side compared to Sn, so Sn is the larger atom.

Determine the oxidation number of the element "X" in H2XO4.

Answers

The correct answer is 6

Which of these counts as a single electron domain?

(Select ALL answers that apply)


a single bond to an atom


a double bond to an atom


a triple bond to an atom


a lone pair

Answers

Answer:

double bond to an atom

a lone pair

a single bond to an atom

Explanation:

Which shape of eyeglass lens should be placed in front of the eye in order for the image to form on the retina?

A
concave
B
convex
C
flat
D
objective

Answers

Answer:

B

convex: for long sightedness

Or

A

concave: for short sightedness

The concave shape of the eyeglass lens should be placed in front of the eye in order for the image to form on the retina. Therefore, option A is correct.

What is retina ?

The retina is a layer of photoreceptor cells and glial cells within the eye that captures incoming photons and transmits them as both electrical and chemical signals to the brain, allowing the brain to perceive a visual image.

The retina converts light that enters your eye into electrical signals that your optic nerve transmits to your brain, resulting in the images you see. It's an important part of your vision. The retina is the layer at the back of your eye.

Placing concave lenses in front of a nearsighted eye reduces light refraction and increases focal length, allowing the image to form on the retina.

A concave lens, which diverges light rays before they enter the eye, allows the myopic eye to focus the image of a distant object on the retina.

Thus, option A is correct.

To learn more about the retina, follow the link;

https://brainly.com/question/13993307

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2 Na + Cl2 --> 2 NaCl
What is the mole ratio of sodium to sodium chloride?

Answers

Answer: The mole ratio of sodium to sodium chloride 2:2.

Explanation:

As the given reaction equation is as follows.

[tex]2Na + Cl_{2} \rightarrow 2NaCl[/tex]

Here, 2 moles of sodium reacts with 1 mole of [tex]Cl_{2}[/tex] and leads to the formation of 2 moles of NaCl.

This means that 2 moles of sodium gives 2 moles of NaCl on reaction with chlorine.

Hence, the ratio of moles of sodium to sodium chloride is 2:2.

Thus, we can conclude that the mole ratio of sodium to sodium chloride 2:2.

Please Help me with number 4 I really need help please just tell me which letter is

Answers

Answer:

i believe it's D

Explanation:

Answer:

D

Explanation:

What is a limitation for using solar energy to meet global energy needs?

Answers

Answer:

The sun provides more than enough energy to meet the whole world's energy needs, and unlike fossil fuels, it won't run out anytime soon. As a renewable energy source, the only limitation of solar power is our ability to turn it into electricity in an efficient and cost-effective way.

Drought is a weather condition. true or false

Answers

Answer:

true

Explanation:

drought is a period of unusually persistent dry weather that persists long enough to cause serious problems such as crop damage and/or water supply shortages. The severity of the drought depends upon the degree of moisture deficiency, the duration, and the size of the affected area.

The shoes are green, a size 8, have white laces, made out of cotton, and have a rubber sole. The description given is a list of ___________ properities of the shoes. Question 33 options:
chemical
mechanical
physical
structural

Answers

Answer:

Physical i think, because it says, "The shoes are green, made of cotton, and rubber sole" everything in the passage described a physical property

Explanation:

tell me if im wrong, good luck

Answer:

physical

Explanation:

its listing a size 8, which eliminates chemical and mechanical. Also it lists their green, which eliminates structural, leaving physical left

Which reaction type is really part of another type of reaction but treated separately? Explain

Answers

Answer:

Oxidation - reduction reaction which is called redox reaction.

Explanation:

The type of reaction that is a part of another type but treated separately is called Oxidation - reduction reaction.

Thus is because they usually involve 2 separate half reactions which are oxidation reactions that involve loss of electrons and then reduction equations which involve gain of electrons.

They are treated separately for example when sodium reacts with chlorine to form sodium chloride.

2Na + Cl2 = 2NaCl

Now, sodium undergoes oxidation by loosing elctrons and it's half reaction is;

2Na → 2Na​^(+) + 2e^(-)

​​Meanwhile chlorine undergoes reduction by gaining electrons and its half reaction is;

Cl2 + 2e^(-) → 2Cl^(-)

what is the preasure in atmospheres of 20 mol of nitrogen gas in 36.2 L cylinder at 25 degrees C?

Answers

Answer:

P = 13.5 atm

Explanation:

Given that

No. of moles, n = 20 moles

Volume of nitrogen gas = 36.2 L

Temperature = 25°C = 298 K

We need to find the pressure of the gas. Using the ideal gas equation

PV = nRT

Where

R is gas constant, [tex]R=0.082057\ L-atm/K-mol[/tex]

So,

[tex]P=\dfrac{nRT}{V}\\\\P=\dfrac{20\times 0.082057\times 298}{36.2 }\\\\P=13.5\ atm[/tex]

so, the pressure of the gas is equal to 13.5 atm.

please help me with the definition of
activation energy
effective collisions
ineffective collisions.

please

Answers

Answer:

activation energy

the minimum quantity of energy which the reacting species must possess in order to undergo a specified reaction.

effective collisions

An effective collision is defined as one in which molecules collide with sufficient energy and proper orientation, so that a reaction occurs.

ineffective collisions

An ineffective collision (A) is one that does not result in product formation. An effective collision (B) is one in which chemical bonds are broken and a product is formed.

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