Answer:
1. -2=-x - 9, 7=-x, -7=x
2. -1=-x - 9, 8=-x, -8=x
3. 0=-x - 9, 9=-x, -9=x
4. 1=-x - 9, 10=-x, -10=x
5. 2=-x - 9, 11=-x, -11=x
Answer:
y = 5 and x = -3
Step-by-step explanation:
Given,
y = x + 8 ...............( equation 1 )
x + y = 2 ...............( equation 2 )
Now, by substituting the value of y in equation 2, we get;
⇒ x + x + 8 = 2
⇒ x = -3
and now, by substituting the value of x in equation 1, we get;
⇒ y = -3 + 8
⇒ y = 5
Answer:
x=2 and y=7
Step-by-step explanation:
Step: Solvey=2x+3for y:
y=2x+3
Step: Substitute2x+3foryiny=3x+1:
y=3x+1
2x+3=3x+1
2x+3+−3x=3x+1+−3x(Add -3x to both sides)
−x+3=1
−x+3+−3=1+−3(Add -3 to both sides)
−x=−2
−x
−1
=
−2
−1
(Divide both sides by -1)
x=2
Step: Substitute2forxiny=2x+3:
y=2x+3
y=(2)(2)+3
y=7(Simplify both sides of the equation)
Answer: 12.25
Step-by-step explanation:
Given the following details :
DAC = 90° and ABC = 90° = right angled
Segment AB is Parallel to segment DC
FROM THE DETAILS ;
Triangle ABC and ACD are similar triangles.
Length AC = 7 Units
Length AB = 4 Units
For similar triangles :
Segment CD /AC = Segment AC / AB
CD / 7 = 7 / 4
Cross multiply
CD × 4 = 7 × 7
CD × 4 = 49
CD = 49 / 4
CD = 12.25 Units
Answer:
105 sq cm
Step-by-step explanation:
The bottom rectangle is 6 x 15 = 90 sq cm
The triangle at the top has a length of 15 - 9 = 6 cm and a height of 11 - 6 = 5 cm.
A triangle is 1/2bh so 1/2 x 6 x 5 = 15 sq cm
Add the areas together
