Answer:
40 ft²
Step-by-step explanation:
The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle
✔️Area of triangle 1:
Area = ½*bh
b = 6 - 3 = 3 ft
h = 11 - 7 = 4 ft
Area of triangle 1 = ½*3*4 = 6 ft²
✔️Area of triangle 2:
Area = ½*by
b = 2 ft
h = 3 ft
Area of triangle 2 = ½*2*3 = 3 ft
✔️Area of rectangle = L × W
L = 11 ft
W = 3 ft
Area of rectangle = 11 × 3 = 33 ft
✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²
Answer:
10 ways
Step-by-step explanation:
We know that m<JKL = m<JKM + m<MKL
Let's substitute the values from the picture into our equation above.
10x - 11 = 43 + 8x - 20
Combine like terms.
10x - 11 = 8x + 23
Subtract 8x from both sides and add 11 to both sides.
2x = 34
Divide both sides by 2
x = 17
m<MKL = 8x - 20 = 8(17) - 20 = 136 - 20 = 116 degrees.
m<JKL = 10x - 11 = 10(17) - 11 = 170 - 11 = 159 degrees.
These can be some values of equation
6x+ 12=30
This question might not get the right answer but this how you set equations.
Step-by-step explanation:
first of all, g(x) has only negative functional result values (y) except for 0.
and a square is always positive.
so, the only possible right answers are the ones that include a minus ("-") sign.
the graph shows us that g(x) goes through the points (1, -3) and (-1, -3).
so, which equation turns an x = 1 into an y = -3 ?
therefore, the right answer must be D.
g(x) = -3x²
it works for both points :
-3 = -3×1² = -3 correct
-3 = -3×(-1)² = -3×1 = -3 correct
