Answer:
12 square cm correct to 2 significant figures
Step-by-step explanation:
Area of a Rectangle = L X B = 2.1 X 5.6 = 11.76 square cm
To round your result to 2 significant figure, we start counting from the left from the first non-zero digit.
The first two digits are 11 but because the number after is 7 (greater than 4), we round up to 12.
11.76 square cm = 12 square cm correct to 2 significant figures
Answer:

Step-by-step explanation:
The standard equation of a hyperbola is given by:

where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²
Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)
The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61
The foci is (h ± c, k) = (±√98, 0). Therefore c = √98
Hence:
c² = a² + b²
(√98)² = (√61)² + b²
98 = 61 + b²
b² = 37
b = √37
Hence the equation of the hyperbola is:

Answer:
d
Step-by-step explanation:
if I divide the units of the scaled rectangle by the original you will get

Answer:
Step-by-step explanation:
∵ ABCD is a rhombus
∴ AC is ⊥ on BD
∴ ΔAEB is right angled triangle
The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.
<h3>What are exponential forms?</h3>
The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.
<u>For example:</u>
If we have a*a*a*a, it can be written in exponential form as:
=a^4
where
- a is the base, and
- 4 is the power.
The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power.
From the information given:
We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:




Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.
Learn more about exponential forms here:
brainly.com/question/8844911
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