Answer:
D y=2/3 x +1
y= -3/2 x+2
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
The equations are written in slope intercept form
y = mx+b where m is the slope
A 1/5* 5 = 1 not perpendicular
B 2/3 * 3/2 = 1 not perpendicular
C -1/5 * -5 = 1 not perpendicular
D 2/3 * - 3/2 = -1 perpendicular
Answer:
f(2)=5, f(-2)=-7
Step-by-step explanation:
Step 1 : f(2)=3(x)-1
f(2)=5
Step 2 : f(-2)=3(x)-1
f(-2)=-7
Answer:
<AEB = obtuse angle
<AED = straight angle
<BEA = obtuse angle
<BEC = straight angle
<CDE = not angle
<CEA = acute angle
<DEA = straight angle
<DEB = acute angle
<DEC = obtuse angle
Step-by-step explanation:
Answer:
9, 32 and 36
Step-by-step explanation:
The perimeter of a triangle is the sum of all the sides. Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:
one side: '4 times the shortest side' = 4s
shortest side: 's'
third side: '23 more than the shortest side' = s + 23
perimeter = 77
Equation: 4s + s + (s + 23) = 77
Combine like terms: 6s + 23 = 77
Subtract 23 from both sides: 6s + 23 - 23 = 77 - 23 or 6s = 54
Divide by 6: 6s/6 = 54/6 or s = 9
one side: 4s = 4(9) = 36
shortest side: s = 9
third side: s + 23 = 9 + 23 = 32
Answer:
160/147
Step-by-step explanation:
