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uranmaximum [27]
3 years ago
14

Find the sum. express your answer in simplest form 8m^2-6/n+3 + 9m^2-4/n+3

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0
To solve this problem you must apply the proccedure shown below:

 1. You have the following expressions shown in the problem above:

 (<span>8m^2-6/n+3) + (9m^2-4/n+3)

 2. As you can see, they have equal denominators, then you have:

 (</span><span>8m^2-6+ 9m^2-4)/(n+3)
</span><span>
 3. Therefore, when you sum, you have the following result:

 (17m</span>²-10)/(n+3)
<span>
 The answer is: </span> (17m²-10)/(n+3)<span>

 

 

 </span>
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On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).
Semenov [28]

Answer:

Approximately 9 units.

Step-by-step explanation:

To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:

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

Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.

d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9

7 0
3 years ago
Under what circumstances are two nonright triangles congruent?
soldier1979 [14.2K]
If these are the given choices of the above problem,

a. one side and one angle are equal. 
<span>b.three sides are equal </span>
<span>c.two angles are equal </span>
<span>d. three angles are equal

Two non-right triangles are congruent when B. THREE SIDES ARE EQUAL.

Two triangles are congruent if:
1) All corresponding sides are equal (SSS)
2) A pair of corresponding sides and the included angle are equal (SAS)
3) A pair of corresponding angles and the included side are equal (ASA)
4) A pair of corresponding angles and a non-included side are equal (AAS)</span>
3 0
3 years ago
Question 6 Multiple Choice Worth 5 points)
Citrus2011 [14]

Answer:

The equation of the graph is;

y = 4·x

Step-by-step explanation:

The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;

(-3, 12), and (2, 8)

The slope, m, of the straight line graph is given as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Therefore, by substitution of the values, we have;

Slope, \, m =\dfrac{8-(-12)}{2-(-3)} = \dfrac{8 + 12}{2 + 3} =\dfrac{20}{5}  = 4

The equation of the graph in point slope form is therefore;

(y - 8) = 4×(x - 2)

y = 4·x - 8 + 8 = 4·x

y = 4·x.

4 0
3 years ago
How many mor barrel of gasoline than diesel were produced last year
algol [13]

Answer:

3 million barrels

Step-by-step explanation:

Total crude oil=60 million barrels

gasoline 34% diesel 29% total crude oil -60 million barrel · =0.34 times 60

Diesel=20,400,000 and gasoline=17,400,000

Quantity of gasoline = 34% of total crude oil

=0.34 times 60 =20.4

Quantity of diesel = 29% of total crude oil

=0.29 times 60 { million barrels}

Clearly, Quantity of gasoline is more than Quantity of diesel

difference = Quantity of gasoline-Quantity of diesel

20.4 -17.4 milion barrels

Therefore,

The production of gasoline is 3 million barrels more than diesel last year.

8 0
2 years ago
Using 8 coins, how can you make change for 65 cents that will not make change for a quarter?
Ksivusya [100]
<span>2 quarters, 1 dime and 5 pennies

</span>
6 0
3 years ago
Read 2 more answers
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