Short answer: C
Let's start with the pen.
The length is x
The width is 3 more.= x + 3
Perimeter of the pen = 2L + 2W
P = 2 L + 2W
P = 2*x + 2(x + 3)
P = 2x + 2x + 6
P = 4x + 6. Leave that for now.
Area of the pen without the doghouse = x(x + 3)
Area of the pen without the doghouse = x^2 + 3x
Area with the doghouse x^2 + 3x - y = 178 (that's his running around space.
Go to the dog house for a Moment
The perimeter of the doghouse and the area are equal and we are told to make them both y.
Area = y
Perimeter = y
Combined facts.
The perimeter of the Pen is three times larger than that of the dog house.
4x + 6 = 3y
The area of the Pen - The area of the doghouse = 178
x^2 + 3x - y = 178
Now what happens is that you have to juggle these two equations so they look like your answer
x^2 + 3x - y = 178
4x + 6 = 3y Subtract 3y from both sides.
4x - 3y + 6 = 0 Subtract 6 from both sides.
4x - 3y = - 6
Answer C
Answer:
d = 69° , e = 32° , f = 79°
Step-by-step explanation:
d and 69° are vertically opposite angles and are congruent , so
d = 69°
e and 32° are vertically opposite angles and are congruent , so
e = 32°
69° , e , f lie on a straight line and sum to 180° , that is
69° + 32° + f = 180°
101° + f = 180° ( subtract 101° from both sides )
f = 79°
Answer:
Step-by-step explanation:
hope it helps...
have a great day!!
Answer:
Slope= 2 / 10 = 1 / 5 = 0.2
y-intercept= (0, -4/5) or (0, -0.8)
Step-by-step explanation:
A = 1/2 bh can be written as
A = bh/2.
2A = (bh/2)(2)
2A = bh
Divide both sides by h to find b.
2A/h = b
Done.
