Given:
y = x - 6 (1)
for the line
x² + y² = r² (2)
for the circle
When the line intercepts the circle, the x and y values will be equal.
Equate the values of y by substituting (1) into (2).
x² + (x - 6)² = r²
x² + x² - 12x + 36 = r²
2x² - 12x + 36 = r²
Answer: r² = 2x² - 12x + 36
Answer:
144cm²
Step-by-step explanation:
Area of square A Aa = La²
Area of square B Ab= Lb²
If the length of each side of square B is 4cm greater than the length of each side of square A, then;
Lb = La + 4 ... 1
Also if the area of square B is 70cm² greater than the area of square A, then;
Ab = Aa + 70
Since Aa = La² and Ab = Lb²
Lb² = La² + 70 ...2
Substitute 1 into 2;
(La+4)² = La²+70
Expand
La²+8La+16 = La²+80
8La+16 = 80
8La = 80 - 16
8La = 64
La = 64/8
La = 8cm
Since Lb = La + 4
Lb = 8 + 4
Lb = 12cm
Area of square B = Lb²
Area of square B = 12²
Area of square B = 144cm²
Answer:
The equation for the relationship between the weight and number of months is 
Step-by-step explanation:
we know that
A linear equation in slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept (value of y when the value of x is equal to zero)
or say b is the actual weight of the wrestler.
In this problem
m=5.5 kg/month
Let
W ⇒ the sumo wrestler's weight in kg (dependent variable)
t ⇒ the time in months (independent variable)
The linear equation is equal to

where
b is the actual weight when he started the diet.
Now Given
W = 140 kg
t = 11 months
substitute in the linear equation to find the value of b


Hence,The equation for the relationship between the weight and number of months is 
Answer: Can you upload a picture of the question?
Step-by-step explanation:
Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:

Since both expressions are equal to y, you have to equal both expressions like this:

Now you can solve the equation:

Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result

So, the answer is x=10 and y=-1