SOLUTION: Remember to include a LET statement to define your variable and a concluding statement.
The sum of an integer and five times its square is 174. Find the integer. (5 marks)
A
Question 1006526: Remember to include a LET statement to define your variable and a concluding statement.
The sum of an integer and five times its square is 174. Find the integer. (5 marks)
A right triangle has a height 8 cm more than twice the length of the base. If the area of the triangle is 96 cm2, what are the dimensions of the triangle. (6 marks)
A baseball is hit from a height of 0.8 m. After "t" seconds, its height "h", in metres, is given by the equation h=−5t2+20t+0.8. How long does the ball stay at least 15 m above the ground? (5 marks)
An art dealer advises that, for the best display of a painting, the area of the frame should be (15) the area of the painting. Determine the best width of the frame for a painting 20-cm by 20-cm, if the width is to be the same on all sides. Round your answer to the nearest tenth. (6 marks)
A rectangular flower bed is to be created so that the length is 3 m more than the width. If the length of the diagonal of the flower bed is 15 m, determine the length and the width. (5 marks) Answer by ikleyn(52781) (Show Source):
Problem 1
Let n be an unknown integer.
Then you have an equation
= , or
= .
Solve it using the quadratic formula
= = .
The appropriate root is -6 (integer).
Problem 2
"A right triangle has a height 8 cm more than twice the length of the base.
If the area of the triangle is 96 cm2, what are the dimensions of the triangle".
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I don't like this formulation very much.
When someone talks about a height of a right-angled triangle, he/she means the height drawn to the hypotenuse.
When a right-angled triangle is considered, it is a BAD style to call the hypotenuse as "the base".
From the other side, in a right triangle the height drawn to the hypotenuse CAN NOT be longer than half of the hypotenuse.
(Remember, a right-angled triangle is inscribed into the circle, and the right angle is leaning on the diameter!)
Taking this into account, the condition seems very suspicious to me from the point of view whether terminology is using correctly.
