Answer:
1. 1+2
2. 4-1
3. 3-2
4. 14+18
5. 10-6
6. 5-4
Step-by-step explanation:
1. GCF is 7
2. GCF is 11
3. GCF is 6
4. GCF is 5
5. GCF is 6
6. GCF is 20
Answer:
4![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Step-by-step explanation:
The length of CD will be twice the distance from the midpoint to the endpoint
To calculate the length use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (8, 3)
d = 2 × ![\sqrt{(8-2)^2+(3+1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%288-2%29%5E2%2B%283%2B1%29%5E2%7D)
= 2 × ![\sqrt{6^2+4^2}](https://tex.z-dn.net/?f=%5Csqrt%7B6%5E2%2B4%5E2%7D)
= 2 × ![\sqrt{52}](https://tex.z-dn.net/?f=%5Csqrt%7B52%7D)
= 2 × ![\sqrt{4(13)}](https://tex.z-dn.net/?f=%5Csqrt%7B4%2813%29%7D)
= 2 × 2
= 4
← exact length
Answer:
$119.32
Step-by-step explanation:
Leiff decides to buy his video game, with a price tag of $128, at this site
he will get the 15% discount when he checks out.
100-15= 85%
Discounted price=85% of 128 is ![0.85 \cdot 128=108.8](https://tex.z-dn.net/?f=0.85%20%5Ccdot%20128%3D108.8)
Leiff pays 5.3% sales tax on the discounted price
5.3% is 0.053
sales tax amount=0.053 times 108.8=5.7664
So we add the sales tax amount and shipping fee
![108.8+5.7664+4.75=119.32](https://tex.z-dn.net/?f=108.8%2B5.7664%2B4.75%3D119.32)
So $119.32 is the total amount
Answer:
4 sin (2x - 4).
Step-by-step explanation:
The amplitude of sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.
Our formula is 4 sin (2(x - 2))
= 4 sin (2x - 4).
Answer:
6
Step-by-step explanation:
f(6) = -6 this is the value when the x value is 6
g(5) = -5 this is the value when the x value is 5
4 * f(6) -6*g(5)
4*-6 - 6* -5
-24 + 30
6