Answer:
The values are
m = 13
b = 17
Step-by-step explanation:
1239 = 94m + b ------eqn 1
810 = 61m + b -----------eqn 2
Let's take eqn 1, let's make b the subject of the formula
1239 - 94m = b
Since b = 1239 - 94m
Insert the value of b into the eqn 2
810 = 61m + (1239 - 94m)
810 = 61m + 1239 - 94m
Collect like terms
810 = 61m - 94m + 1239
810 = - 33m + 1239
810 - 1239 = - 33m
- 429 = - 33m
The minus sign cancels each other
Making m the subject
m = 429 / 33
m = 13
Since we've gotten the value for m, insert the value of m= 13 into the eqn 1
1239 = 94m + b
m = 13
1239 = 94 (13) + b
1239 = 1222 + b
1239 - 1222 = b
17 = b
b = 17
m = 13
b = 17
Answer:
the result is a positive number not a negative number
Step-by-step explanation:
a - ( -b)
We know that subtracting a negative is like adding
a+b
This would result in a positive number
Answer: chord
Step-by-step explanation:
A chord is a straight line that's typically drawn from one particular edge of a circle to another.
In this case, the diameter is 14cm while the length of the line drawn is 11cm, therefore the diameter isn't a chord. It's not a radius as well as the diameter divided by 2 gives the radius which should be 7cm.
Therefore, it's a chord.
Answer:
= 35 hrs and 33 minutes
= 1 day and 11 hours and 33 minutes
Step-by-step explanation:
739 - 95 = 640
640 / 18 = x
x = 35.555555555 (you get what i mean)
35 hours and 33 minutes
Hope this helps
plzz mark brainlest
The answer is the option d, which is: d) ![\frac{-77+21i}{130}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-77%2B21i%7D%7B130%7D%20%20)
The explanation for this problem is shown below:
1. Smplify the denominator and rewrite the numerator in this form:
![\frac{7i}{7-2i-4-9i} \\\frac{7i}{3-11i}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7i%7D%7B7-2i-4-9i%7D%20%5C%5C%5Cfrac%7B7i%7D%7B3-11i%7D%20%20%20)
2. Multiply the denominator and the numerator by the conjugated
and simplify the expression, as following:
![\frac{7i(3+11i)}{(3-11i)(3+11i)} \\ \frac{21i+77i^{2}}{121+9} \\ \frac{-77+21i}{130}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7i%283%2B11i%29%7D%7B%283-11i%29%283%2B11i%29%7D%20%5C%5C%20%5Cfrac%7B21i%2B77i%5E%7B2%7D%7D%7B121%2B9%7D%20%20%5C%5C%20%5Cfrac%7B-77%2B21i%7D%7B130%7D%20%20)
3. As you can see, you obtain the expression shown in the option mentioned above.