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Alexxandr [17]
3 years ago
7

Solve for x. Write your answer as “x=__”

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:

9x+3x=12x

180/12=15

9 x 15= 135

3 x 15= 45

135+45=180

x=15

Step-by-step explanation:

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Given a right triangle whose side lengths are all integer multiples of 8, how many units are in the smallest possible perimeter
leonid [27]

Answer:

96 units.

Step-by-step explanation:

Let a, b represent legs and c represent hypotenuse of the given right triangle.

We are told that in the given triangle all side lengths are all integer multiples of 8. Using Pythagoras theorem, we can represent this information in an equation as:

(8a)^2+(8b)^2=(8c)^2

64a^2+64b^2=64c^2

Upon dividing both sides by by 64, we will get:

a^2+b^2=c^2

We know that smallest Pythagoras triplet is such that a=3, b=4\text{ and }c=5.

Since all sides are multiple of 8, so the smallest possible perimeter would be 8(3+4+5)=8*12=96.

Therefore, the smallest possible perimeter of such a triangle would be 96 units.

5 0
3 years ago
Idk what two coplanor lines are
mixas84 [53]
Coplanar lines<span> are </span>lines<span> that lie on the same plane. Picture a giant sheet of paper. Whatever </span>lines<span> are drawn on that sheet of paper will be </span>coplanar<span> because they are lying on the same plane, or the same flat surface.Or two strips of bacon on a frying pan would be coplanar lines lines that are,on the same plane</span>
3 0
3 years ago
Solve the simultaneous equations:<br><br> 3a-2b=14 <br> 12a+9b=39
kirill [66]
Use elimination
Multiply first equation by 4
12a - 8b = 56
12a + 9b = 39
Subtract both
-17b = 17
b = -1
Plug in -1 for b
3a - 2(-1) = 14
3a = 12, a = 4
Final answer: a = 4, b = -1
5 0
3 years ago
What is the median of these figure skating ratings 5.0,6.0,7.0,8.0,9.0,10.0
defon

Answer:

7.5

Step-by-step explanation:

5.0 - 10.0 = 5.0 ÷ 2 = 2.5 + 5.0 = 7.5

8 0
3 years ago
Find the discriminant of the following equation:
vladimir1956 [14]

Option 1

The discriminant of given equation is 116

<em><u>Solution:</u></em>

We have to find the discriminant of given equation

<em><u>Given equation is:</u></em>

f(x) = 4x^2+6x-5

To find discriminant,

4x^2+6x-5 = 0

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

<em><u>Discriminant is given by:</u></em>

D = b^2-4ac

On comparing the given quadratic equation 4x^2+6x-5 = 0 with general quadratic equation ax^2+bx+c = 0

a = 4

b = 6

c = -5

<em><u>Substituting in above formula,</u></em>

D = 6^2-4(4)(-5)\\\\D = 36-16(-5)\\\\D = 36+80\\\\D = 116

Thus discriminant of given equation is 116

8 0
3 years ago
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