Answer:
Step-by-step explanation:
eq of circle is (x-h)²+(y-k)²=r²
where (h,k) is center of circle and r is the radius.
given eq. of circle is (x+10)²+(y-4)²=100
or {x-(-10)}²+(y-4)²=10²
center is (-10,4)
and radius =10 units
Answer:
Step-by-step explanation:
OwO
thx for the points I guess
Answer:
x = 8
Step-by-step explanation:
subtract 8 from both sides to get x = 8
Answer:
The larger number is 60
The smaller number is 14
Explanation:
Assume that the larger number is x and that the smaller number id y.
We are given that:
1- The sum of the two numbers is 74. This means that:
x + y = 74
This equation can be rewritten as:
x = 74 - y .............> I
2- Four times the smaller number (4y) subtracted from the larger number (x), the result would be 4. This means that:
x - 4y = 4 ..............> II
Substitute with I in II and solve for y as follows:
x - 4y = 4
74 - y - 4y = 4
74 - 5y = 4
5y = 70
y = 70/5
y = 14
Substitute with the value of y in equation I to get x as follows:
x = 74 - y
x = 74 - 14
x = 60
Hope this helps :)
<u>Methods to solve rational equation:</u>
Rational equation:
A rational equation is an equation containing at least one rational expression.
Method 1:
The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.
For example,
This can be used for rational equations with polynomials too.
For example,
When the terms in a rational equation have unlike denominators, solving the equation will be as follows
Method 2:
Another way of solving the above equation is by finding least common denominator (LCD)
Factors of 4:
Factors of 8:
The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,
we get,
On cancelling 8 on both sides we get,
Hence, these are the ways to solve a rational equation.