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3 years ago

Which is a solution to the equation 3x2 + 2x − 20 = 2x2 + 15?

Mathematics

1 answer:

qaws [65]3 years ago

5 0

Answer:

33/2

Step-by-step explanation:

6+2x -20= 2×2 +15

-14+2x=19

add 14 to both sides

2x=33

divide 2 in both sides

x=33/2

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Two planes leave an airport at noon. If the eastbound plane flies at 660 mph and the westbound plane flies at 600 mph, at what t

Eddi Din [679]

I'm guessing that they took of in the same airport.

Each hour they will separate by 1260 miles or 21 miles each minute

2,000/21 = 95.23 minutes which is 1 hour and 35 minutes

Hope this helps :)

6 0

3 years ago

The isotope cobalt-60 has a nuclear mass of 59.933820 u

Lesechka [4]

Cobalt has an atomic number (Z) of 27, which means the nuclei of all its isotopes have 27 protons. Cobalt 60 has an atomic mass of 60, so it has 60-27 = 33 neutrons.

The mass of 27 isolated protons plus the mass of 33 isolated neutrons would be:

27*(1.007825 u) + 33*(1.008665 u) = 60.497220 u

The actual mass of the nucleus of 60-Co is 59.933820 u.

Mass defect: 60.497220 u - 59.933820 u = 0.563400 u

The mass defect is equal to the binding energy of a nucleus.
using the fact that 1 u = 931.5 MeV/c^2

(0.563400 u)*(931.5 MeV/u) = 524.807 MeV

3 0

3 years ago

Identify an equation in point-slope form for the line perpendicular to y =3/4x -4 that passes through (-1, 7).

PilotLPTM [1.2K]

Answer:

y - 7 = -4/3(x + 1)

Step-by-step explanation:

Given

y =3/4x -4

(-1, 7)

Convert to point slope form

y - y1 = m(x - x1)

m: represents what the slope is

y - 7 = -4/3(x + 1)

Distribute -4/3

-4/3 * x = -4/3x

-4/3 * 1 = -4/3

y - 7 = -4/3x - 4/3

Add seven in both sides

21/3 -4/3 = 17/3

y = -4/3x + 17/2

Answer

linear equation: y = -4/3x + 17/2

point-slope form: y - 7 = -4/3(x + 1)

3 0

3 years ago

Use the ditributive property for -8 (x / 3)

ioda

Greetings!

"Use the distributive property for $-8 (x / 3)$ ."

The distribute property is used to simplify an expression/equation. This is done by multiplying the contents of the parenthesis by the number outside of bracket.

 $-8 (x / 3)$
$=(-8*x / -8*3)$
Simplify.
 $=(-8x/-24)$

Hope this helps.
-Benjamin

4 0

3 years ago

Write and solve an equation to find the numben.

trasher [3.6K]

Answer:

Step-by-step explanation:

let number=b

twice a number=2b

Condition:

2b+13=75

2b=75-13

2b=62

b=62/2

b=31

Note:if you need to ask any question please let me know.

6 0

3 years ago