Step-by-step explanation:
8-3 = 5,
3-5 = -2 = the x coordinate of B
-2-4 =-6,
-2-6 =-8 = the y coordinate of B
(-2,-8) is the point B
A is 5 to the right of the midpoint, so B is 5 to the left of the midpoint
A is 6 up from the midpoint so B is 6 down from the midpoint
Answer:
Step-by-step explanation:
Ok I cannot see the figure but let me explain to you how to do this. If you see the and know the measurments, just divide all the measurements by 3 and draw the figure again. If I have a rectangle with side lengths 12 and 9, and I want to draw a 1/3 scale drawing, I would divide 12/3 = 4 and 9/3 = 3. So your new sidelengths are 4 and 3. I hoped this helped a little!!
<h2>
Answer:</h2>
The possible formula for a fourth degree polynomial g is:
<h2>
Step-by-step explanation:</h2>
We know that if a polynomial has zeros as a,b,c and d then the possible polynomial form is given by:
Here the polynomial g has a double zero at -2, g(4) = 0, g(3) = 0.
This means that the polynomial g(x) is given by:
![g(x)=m(x-(-2))^2(x-4)(x-3)\\\\i.e.\\\\g(x)=m(x+2)^2(x-4)(x-3)\\\\i.e.\\\\g(x)=m(x^2+2^2+2\times 2\times x)(x(x-3)-4(x-3))\\\\i.e.\\\\g(x)=m(x^2+4+4x)(x^2-3x-4x+12)\\\\i.e.\\\\g(x)=m(x^2+4+4x)(x^2-7x+12)\\\\i.e.\\\\g(x)=m[x^2(x^2-7x+12)+4(x^2-7x+12)+4x(x^2-7x+12)]\\\\i.e.\\\\g(x)=m[x^4-7x^3+12x^2+4x^2-28x+48+4x^3-28x^2+48x]\\\\i.e.\\\\g(x)=m[x^4-7x^3+4x^3+12x^2+4x^2-28x^2-28x+48x+48]\\\\i.e.\\\\g(x)=m[x^4-3x^3-12x^2+20x+48]](https://tex.z-dn.net/?f=g%28x%29%3Dm%28x-%28-2%29%29%5E2%28x-4%29%28x-3%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%28x%2B2%29%5E2%28x-4%29%28x-3%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%28x%5E2%2B2%5E2%2B2%5Ctimes%202%5Ctimes%20x%29%28x%28x-3%29-4%28x-3%29%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%28x%5E2%2B4%2B4x%29%28x%5E2-3x-4x%2B12%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%28x%5E2%2B4%2B4x%29%28x%5E2-7x%2B12%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%5Bx%5E2%28x%5E2-7x%2B12%29%2B4%28x%5E2-7x%2B12%29%2B4x%28x%5E2-7x%2B12%29%5D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%5Bx%5E4-7x%5E3%2B12x%5E2%2B4x%5E2-28x%2B48%2B4x%5E3-28x%5E2%2B48x%5D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%5Bx%5E4-7x%5E3%2B4x%5E3%2B12x%5E2%2B4x%5E2-28x%5E2-28x%2B48x%2B48%5D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cg%28x%29%3Dm%5Bx%5E4-3x%5E3-12x%5E2%2B20x%2B48%5D)
Also,
i.e.
Hence, the polynomial g(x) is given by:
Answer:
208⅓ ft²
Step-by-step explanation:
The dimensions of Rachel's living room are 80 times the measurements on the scale drawing.
Calculate the width:
w = 80 × 1⅞
Convert the mixed number to an improper fraction = 80 × 15/8
Cancel the 8s = 10 × 15
= 150 in
Convert inches to feet = 150/12
Convert the improper fraction to a mixed number = (144 + 6)/12
= 12⁶/₁₂
Reduce the fraction to lowest terms = 12½ ft
Calculate the length
l = 80 × 2½ = 80 × 5/2 = 40 × 5 = 200 in = 200/12 = (192 + 8)/12
l = 16⁸/₁₂ = 16⅔ ft
Calculate the area
A = lw
A = 16⅔ × 12½
Convert the mixed numbers to improper fractions
A = 50/3× 25/2
Cancel the 2s
= 25/3 × 25
Multiply numerators and denominators
= 625/3
Convert the improper fraction to a mixed number
= (624 + 1)/3
= 208⅓ ft²
The area of Rachel's living room is 208⅓ ft².
-4x - 4 would be your answer
STEP BY STEP:
1. (7x+4x-9) - (5x + 10x - 5)
2. (11x -9) - (15x -5)
3. -4x -4
