Answer:
4:1
Step-by-step explanation:
If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².
Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
Answer:
d 13
Step-by-step explanation:
Subtracting means adding the opposite.
To subtract -4, you add the opposite of -4 which is 4, so you add 4.
9 - (-4) = 9 + 4 = 13
Answer: d 13
The value of 'k' in the quadratic Equation
having one rational solution is k is 8.
<h3>
What is a Quadratic Equation?</h3>
- Quadratic equations are the polynomial equations of degree 2 in one variable of the type
where a, b, c, ∈ R and a ≠ 0. - The standard form of a quadratic equation is
.
Here, the given equation is 
By comparing the given equation with the standard form of the quadratic equation we get,
a = 4
b = k
c = 4
The given quadratic is having one rational solution, which means 
Therefore,

Therefore, the value of k is 8.
Learn more about the quadratic equation is brainly.com/question/8649555
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