Answer:
x = 2
Step-by-step explanation:
Solve the two equations simultaneously....whereby you substitute y = 2x - 6 from the above equation into the second equation...
where...; 5x + 10(2x - 6) = -10
5x + 20x - 60 = -10...then move the variables with x to one side...
5x + 20x = -10 + 60
25x = 50
;Therefore...the value of x at intersection point = 2
Answer:
12 units
Step-by-step explanation:
To find any side length of a right triangle given two side lengths, you would use the pythagorean theorem which is a² + b² = c². In this equation, a and b represents either the height of base of the triangle, and c represents the hypotenuse of the triangle (the diagonal line - in your question it is 13). By plugging in the base and hypotenuse, you get the equation of 5² + b² = 13². 5² is equal to 25 and 13² is equal to 169, so the equation is 25 + b² = 169. Subtract 25 for both sides of the equation and you find that b² = 144. Square both sides and the missing length is 12 because √144 = 12.
Answer:
-60
Step-by-step explanation:
<em>We'd solve anything inside the parentheses first:</em>
-5 * 4 = -20
<em>Now multiply:</em>
-20 * 3 = -60
Our answer would be -60
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Answer: 16m^4−25
Step-by-step explanation:
(4m^2−5)(4m^2+5)
=(4m^2+−5)(4m^2+5)
=(4m^2)(4m^2)+(4m^2)(5)+(−5)(4m^2)+(−5)(5)
=16m^4+20m^2−20m^2−25
=16m^4−25