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lidiya [134]
3 years ago
15

Solve the equation. Please show your work.2(-5x+7)=-6

Mathematics
2 answers:
just olya [345]3 years ago
5 0

2 \times  - 5x =  - 10x
2 \times 7 = 14
- 10x  + 14 =  - 6
- 14
- 10x =  - 20
x = 2
vladimir2022 [97]3 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

2 (-5x + 7) = -6  (original problem)

-10x + 14 = -6  (distributive property)

         -14    -14  (inverse operation

-10x = -20  (addition)

-1/10 x -10x = -20 x -1/10  (inverse operation)

x = -20/-10 (multiply)

x = 2  (simplify)

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4 0
3 years ago
Area of a triangle with points at (-9,5), (6,10), and (2,-10)
Ann [662]
First we are going to draw the triangle using the given coordinates. 
Next, we are going to use the distance formula to find the sides of our triangle.
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Distance from point A to point B:
d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}
d_{AB}= \sqrt{(6+9)^2+(10-5)^2}
d_{AB}= \sqrt{(15)^2+(5)^2}
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d_{AB}= \sqrt{250}
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Distance from point A to point C:
d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}
d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}
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d_{AC}= \sqrt{121+225}
d_{AC}= \sqrt{346}
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Distance from point B from point C
d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}
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Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
s= \frac{AB+AC+BC}{2}
s= \frac{15.81+18.60+20.40}{2}
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Finally, to find the area of our triangle, we are going to use Heron's formula:
A= \sqrt{s(s-AB)(s-AC)(s-BC)}
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A= \sqrt{27.41(11.6)(8.81)(7.01)}
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We can conclude that the perimeter of our triangle is 140.13 square units.

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2 years ago
What is the greatest common factor (GCF) of the numerator and denominator in the rational expression below? 6x-18/x^2-5x+6
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3 years ago
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