Answer:
{3,-1}
Step-by-step explanation:
m^2 -2m -3=0
What 2 numbers multiply to -3 and add to negative 2
-3* 1 = -3
-3 +1 =-2
(m-3) (m+1) =0
Using the zero product property
m-3 = 0 m+1 =0
m=3 m=-1
{3,-1}
He will spend at least $27. He has already spent $16
27-16=11
So, Henry will spend at least 11 more dollars
C ≥ 11
Answer:
18
Step-by-step explanation:
Answer:
x = 8 and y = 10
Step-by-step explanation:
Since the figures are congruent:
Angle PQR = EFG
6y + x = 68
Segment QR = FG
2x - 4 = 12
Solving that:
2x - 4 = 12
2x = 16
x = 8
Replacing x in 6y + x =68
6y + 8 = 68
6y = 60
y = 10
u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,

⇒ 
⇒ 
⇒ 
⇒ 
⇒ u = 10.4
Hence, u = 10.4 and v = 12.