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Serggg [28]
3 years ago
15

Simplify the expression 10-4x(6+5-1) divided by 8+7

Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0
Simple,

writing out the problem...

\frac{10-4x(6+5-1)}{15}

Simplify it...

-4x(6+5-1)

-4x(11-1)

-4x(10)

-40x

Making it look like...

\frac{10-40x}{15}

Cancel out the common factors...

Thus making the answer:

- \frac{2(4x-1)}{3}.

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Help please
Talja [164]

Answer: No it's not possible to form a triangle

Why not? Because the shorter sides 2 ft and 3 ft don't add to a result longer than 7 ft

2+3 = 5

For a triangle to be possible, the sum of any two sides must be larger than the third side. Refer to the triangle inequality theorem.

5 0
2 years ago
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How would you factor this 2x^3 + x^2 + 5x + 6. The factored form should not have any radicals or imaginary numbers.
Serhud [2]

Answer:

(x+1)(2x2−x+6)

Step-by-step explanation:

5 0
3 years ago
In a simplified model of a hydrogen atom, the electron moves around the proton nucleus in a circular orbit of radius 0.53 × 10−1
tresset_1 [31]
For the answer to the question above,
 <span>a) Use F = k * q1 * q2 / d² 
where k = 8.99e9 N·m²/C² 
and q1 = -1.602e-19 C (electron) 
and q2 = 1.602e-19 C (proton) 
and d = distance between point charges = 0.53e-10 m 
The negative result indicates "attraction". 

b) Here, just use F = ma 
where F was found above, and 
m = mass of electron = 9.11e-31kg, if memory serves 
a = radial acceleration 

c) Now use a = v² / r 
where a was found above 
and r was given 

d) period T = 2π / ω = 2πr / v 
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7 0
3 years ago
A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
mario62 [17]

Answer:

(x-7)^2+(y-5)^2=1

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

<u>Center of the circle:</u>

  • The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)

(x_m, y_m) = (7,5)

This is the center coordinate of our circle.

<u>Radius: </u>

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}

r = \sqrt{(6-7)^2+(5-5)^2}

r = \sqrt{1^2}

r = 1

<u>Equation of the circle: </u>

The equation is written as:

(x-a)^2+(y-b)^2=r^2

here, (a,b) are the center points of the circle

in our case this is (a,b)=(x_m,y_m)=(7,5)

and r = 1

(x-7)^2+(y-5)^2=1^2

(x-7)^2+(y-5)^2=1

This is the equation of the circle!

3 0
3 years ago
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 1miles?
slavikrds [6]

1 yard = 3 feet

1 mile = 5,280 feet

So, 1 mile = 5,280/3 yards = 1760 yards

8 0
3 years ago
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