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kolbaska11 [484]
2 years ago
11

One of my factors is equal to 5-2 i am the product of 24 what are the others factors

Mathematics
1 answer:
Alenkasestr [34]2 years ago
3 0
1,2,3,4,6,8,12,24
1x24
2x12
3x8
4x6
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The pizza is fresh and the doe is fresh made
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Find the angle that the line through the given pair of points makes with the positive direction of the x-axis
alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1

Also Slope of line when angle ' θ  ' is given as

Slope=\tan \theta

Substituting Slope = 1 we get

1=\tan \theta

\tan \theta=1\\\theta=\tan^{-1}(1)

We Know That for angle 45°,

tan 45 = 1

Therefore

\theta=45\°

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0
3 years ago
What is the equation of the circle with the given graph
AlexFokin [52]
(X+3)^2+(X-2)^2=9................
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Part A Assume the ball passes through the points ( 3 , 8 ) , ( 5 , 20 3 ) , and ( 6 , 5 ) . Use this data to set up a system of
Zepler [3.9K]

The three system of equations are 9a + 3b + c = 8, 75a + 15b + 3c = 20, and 36a + 6b + c = 5.

<h3>What is a solution to a system of equations? (SOLUTION GRAPHICALLY)</h3>

For a solution to be the solution to a system, it must satisfy all the equations of that system, and like all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none).

The general equation of parabola is given as,

y = ax² + bx + c

The first point is (3,8), therefore, we can write,

8 = a(3)² + b(3) + c

9a + 3b + c = 8

The second point is (5, 20/3), therefore, we can write,

20/3 = a(5)² + b(5) + c

75a + 15b + 3c = 20

The third point is (6, 5), therefore, we can write,

5 = a(6)² + b(6) + c

36a + 6b + c = 5

Hence, the three system of equations are 9a + 3b + c = 8, 75a + 15b + 3c = 20, and 36a + 6b + c = 5.

Learn more about System of equations:

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6 0
2 years ago
Which of the following represents the total cost of the shoes by applying the $15 coupon first and the 20% member discount secon
murzikaleks [220]

Considering the definition of an equation and the way to solve it, the total cost of the shoes is 0.20×(x-15).

<h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

<h3>Total cost in this case</h3>

Being "x" the price of the shoes, and knowing that:

  • you apply a discount of $15 first → x -15
  • you apply a discount of 20% through a second discount (
  • (applied on the first discount already made) → 20%×(x-15) → 0.20×(x-15)

the equation in this case is:

<u><em>Total cost= 0.20×(x-15)</em></u>

Finally, the total cost of the shoes is 0.20×(x-15).

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8 0
1 year ago
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