Answer:
15 feet
Step-by-step explanation:
The question talks about;
- A rectangular flower bed whose dimensions are 12 ft by 9 ft
We are required to determine the length of the diagonal
To answer the question, we need to know the following;
- All the angles in a rectangle are right angles
- A diagonal divides a rectangle into two right-angled triangles
- The dimensions of the rectangle acts as the legs of right angled triangle.
Therefore;
Using Pythagoras theorem;
a² + b² = c²
Where, c is the hypotenuse (in this case the diagonal)
a and b are the shorter sides of the right-angled triangle
Therefore;
c² = 12² + 9²
c² = 144 + 81
= 225
c = √225
= 15
Therefore, the length of the diagonal is 15 feet
The signs of the numbers in the problem matter because if a number is negative in the equation than you're answer could be negative. ex. -3/9= -3 but if the negative sign wasn't there than the answer would be wrong bc the answer would be positive.
hope thats what you need hope it helps.
Answer:
find the least common multiple for the denominator and multiply with the numerator
for the first one,
Step-by-step explanation:
the common multiple for 4 and 6 is 12
4×3=12
6×2=12
multiply the same numbers with the numerator
1×3=3
5×2=10
the answer is 3/12 and 10/12
The equation of the line will be given as y = -4x - (- 17/ 4).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
- The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).
The equation of the line will be given as:-
y - y₁ = m ( x - x₁)
slope m will be calculated as:-
The equation will be:-
y - (1/4) = -4( x + 1 )
y = -4x - (17/4)
Therefore the equation of the line will be given as y = -4x - (- 17/ 4).
To know more about equations follow
brainly.com/question/2972832
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