Answer:
x=1 y=-9
Step-by-step explanation:
plug the given x and y values into the equation
y=-2(4)-1
y=-8-1
y=-9
1=-2x-1
+1 +1
2=-2x
/2 /2
1=x
We start by splitting the shape into two rectangles as shown in the diagram below:
Area of shape A = 10' × 3' = 30'
Area of shape B = 6' × 2' = 12'
Total area = 30' + 12' = 42'
Answer:
The roots of the function are x = -5/3 and 3. Select these.
Step-by-step explanation:
The roots of the function are the solutions to the function. They are also called the x-intercepts or zeros. To find them, factor the function completely and solve using the zero product property.
f(x) = (3x+5)(x2-6x+9)2 becomes f(x) = (3x+5)(x-3)^2
Set each factor equal to 0 and solve for x.
(3x+5)=0
3x = -5
x = -5/3
(x-3)^2 = 0
x - 3=0
x = 3
You can use an area model or partial products. 10 times 6 = 60 and 6 times 7 is 42 so just add them up
Answer:
8√2.
Step-by-step explanation:
Using the Pythagoras theorem:
16^2 = x^2 + x^2
x^2 = 16^2/2
x^2 = 128
x = √128 = 8√2.