Answer:
x^2 + y^2 = 100
Step-by-step explanation:
The standard form equation for a circle is:
(x – h)^2 + (y – k)^2 = r^2
Where h is the x coordinate of the center point and k is the y coordinate of the center point. Since the center point is (0,0), this simplifies to:
x^2 + y^2 = r^2
Since the radius is 10, this simplifies to:
x^2 + y^2 = 100
I used the generic rectangle/diamond method, although the quadratic formula would work just as well with a=3, b=11, c=6. Put that into the quadratic formula
to get that your factors are x = -2/3 and -3. Putting those into factorization form you get the 2 factors as (3x+2)(x+3)
From the picture, we have the graph of the linear parent function f(x) = x.
We have the following statements as descriptions of the function:
A. The function is negative when x < 0.
From the graph, we see that the function takes negative values for x < 0. This statement is true.
B. The function is negative when x < 0 and also when x > 0.
The first part of this statement is true, but the second is not because that we see that the function takes positives values for x > 0. So this statement is false.
C. The function is never negative.
If we see the graph, the function is negative when x < 0. So this statement is false.
D. The function is negative when x > 0.
Again, seeing the graph we note that the function takes positive values for x > 0. So this statement is false.
So the only statement that it is true, is option A.
Answer:
The ratio of the amount for swordfish to the amount of salmon is 6:4
Step-by-step explanation:
Given as :
The price for 1 pound of swordfish = The price of 1.5 pound of salmon
So, On this relation
The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 ) pound of salmon
i.e The price for 2 pound of swordfish = The price of 3 pound of salmon
Now According to question
Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39
Let the money she pay for swordfish = 2 sw
And The money she pay for salmon = 3 sa
∵, The total money she pay for both = $ 39
I.e 2 sw + 3 sa = 39
As 2 sw = 3 sa
So, 3 sa + 3 sa = 39
Or, 6 sa = 39
or, sa = 
= 
∴ sw = × 
or, sw = 
Now, the ratio of the amount for swordfish to the amount of salmon = 
I.e The ratio = 
Hence The ratio of the amount for swordfish to the amount of salmon is 6:4
Answer
Y varies directly with x" means y = constant * x or y = kx ----- (1)1. when x = -1/2, y = 2Put it in (1):2 = k * (-1/2)multiply by 2:4 = k * (-1)4 = -kk = -4y = -4x
"find the value of y when x= -0.3"y = -4x = (-4) * (-0.3) = 1.2
So for each problem, start with y = kxThey give you one x and one y value.Put it in y = kx and find k.Then put x = -0.3 and find y.
