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solve the simultaneous equations 8x + 2y = 48 , 14x + 6y = 94

Step 1) Rearrange the first equation to make y the subject: 8x + 2y = 48 , 2y = 48 - 8x , y = 24 - 4x. step 2) Sub y = 23 - 4x into the second equation: 14x + 6(24 -4x) = 94 , 14x + 144 - 24x = 94 Step 3)...

Answered by Harrison S. • Maths tutor

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The second and fourth term of a geometric series is 100 and 225 respectively. Find the common ratio and first term of the series. Round your answer to 2 d.p if necessary

Formula for a Geometric series for term n = arⁿ, where a = the first term and r = common ratio.Therefore, with the information given we can write that ar² = 100 and ar⁴ =...

Answered by • Maths tutor

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Find the area contained under the curve y =3x^2 - x^3 between 0 and 3

Equation of curve is: y = y =3x² - x³To find area need to integrate between 0 and 3So integrating each term gives x³ - x⁴/4 + ...

Answered by Juan R. • Maths tutor

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Solve algebraically the simultaneous equations 2x+y=5 and 3x+y=7, for x and y.

Assign 2x+y=5 to be 'Equation 1,' and 3x+y=7 to be 'Equation 2.'The steps to solving for x and y are: 1.get rid of one variable (being either x or y) 2.solve for the other variable 3.substitute the now kn...

Answered by Natalie K. • Maths tutor

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A projectile is thrown from the ground at 30 degrees from the horizontal direction with an initial speed of 20m/s. What is the horizontal distance travelled before it hits the ground? Take the acceleration due to gravity as 9.8m/s^2

Draw diagram outlining the symmetric parabolic shape of the projectile's motion. Find vertical component of the initial speed using SOH CAH TOA. sin(30) = opposite/hypotenuse = x/30therefore, x = 30sin(30...

Answered by Raphael D. • Maths tutor

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