Recognize that these are isosceles right triangles, so the legs are equal and the hypotenuse is √2 times the leg length.
1. x=9, y=9√2
3. x=20, y=20√2
Step-by-step explanation:
for triangle HLM
180-2x
180-(3x+6)
H
2x=3x-10
x=10°
180-36=144°
36-20=16°
H=2x
H= 180-144-16= 20°
Answer:
1. The size of shift from function f to function g is -12
2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.
Step-by-step explanation:
Parent function: f(x)=2^x
x=0→f(0)=2^0→f(0)=1
x=1→f(1)=2^1→f(1)=2
x=2→f(2)=2^2→f(2)=4
x=3→f(3)=2^3→f(3)=8
x=4→f(4)=2^4→f(4)=16
Size of the shift from function f to function g: s
s=g(0)-f(0)=-11-1→s=-12
s=g(1)-f(1)=-10-2→s=-12
s=g(2)-f(2)=-8-4→s=-12
s=g(3)-f(3)=-4-8→s=-12
s=g(4)-f(4)=4-16→s=-12
Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:
s2=s/2→s2=(-12)/2→s2=-6
x h(x)
0 1+(-6)=1-6=-5
1 2+(-6)=2-6=-4
2 4+(-6)=4-6=-2
3 8+(-6)=8-6=2
4 16+(-6)=16-6=10
Answer:
A = Distributive Property of Multiplication
B = Addition Property of Equality
C = Subtraction Property of Equality
Step-by-step explanation:
Given:
5(2x - 1) = 9x + 2
The first step is to use the distributive property and multiply 5 to both numbers inside the brackets. So, A will be Distributive property of multiplication, which will result in:
5(2x) - 5(1) = 9x + 2
10x - 5 = 9x + 2
The next step is to add 5 on both sides of the equation. So, B will be the Addition property of equality, which will result in:
10x - 5 + 5 = 9x + 2 + 5
10x = 9x + 7
The next step is to subtract 9x from both sides of the equation. So, C will be the Subtraction property of Equality, which will result in:
10x - 9x = 9x + 7 - 9x
x = 7
