On simplifying the expression 13.8+ (-11.5) , we get 2.3 . And additions
13.8 + (-11.5) and (-13.8) + 11.5 are numbers will same value and opposite sign.
<h3>What are rules for adding a positive and a negative number?</h3>
For adding a negative and a positive number, use the sign of the larger number and subtract.
For example: (–8) + 2 = -6
Given that we have to solve 13.8 + (-11.5) = 13.8-11.5 (we subtract smaller no from larger and will use the sign of lager number that is + here)
13.8+(-11.5) = 13.8-11.5 =2.3
13.8+(-11.5) simply means that 13.8 -11.5 which is subtraction of 11.5 from 13.8
but (-13.8) + 11.5 = -13.8 +11.5 = -( 13.8 -11.5) [taking -1 common from the expression]
Therefore , -13.8 + 11.5 has same value as 13.8- 11.5 but opposite in sign.
Learn, More about addition of numbers from here:'
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is the equation of a circle centered at
with radius
.
Here
,
, and
. So the answer is (C)
The rounded value is option B) 6.03 which is rounded to the nearest hundredth.
<u>Step-by-step explanation:</u>
- To find the value of 8.3 x 24.2 x 0.03, we need to multiply the given numbers to get a decimal value.
- And then, after getting the value of 8.3 x 24.2 x 0.03 it should be rounded to the nearest hundredth.
<u>So, let's multiply the numbers first :</u>
8.3 × 24.2 × 0.03 = 6.0258
The value is 6.0258
<u>To round the value 6.0258 to the nearest hundredth :</u>
- The first number next to the decimal point represents the tenth.
- The second number next to the decimal point is the hundredth.
- The third number next to the decimal point is thousandth.
Therefore, to round the value to the nearest hundredth, look for the thousandth number is either less than 5 or greater and or equal to 5.
If, thousandth place is greater or equal to 5, then the hundredth number should be increased by 1.
The hundredth is 6.02 and the number in the thousandth place is 5. So add 1 to the hundredth place.
The value is rounded to 6.03 to the nearest hundredth.
Find the slope:
(-19 - 11) / (-8 - 2) = (-30/-10) = 3
Find the y intercept:
y = mx + b
11 = 3(2) + b
b= 5
So equation is:
y = 3x + 5
