Answer:
![21.\bar{3}](https://tex.z-dn.net/?f=21.%5Cbar%7B3%7D)
Step-by-step explanation:
Assuming a constant ratio, we can set up the following proportion:
.
Cross-multiply to solve:
![6m=8\cdot 16,\\m=\fbox{$21.\bar{3}$}](https://tex.z-dn.net/?f=6m%3D8%5Ccdot%2016%2C%5C%5Cm%3D%5Cfbox%7B%2421.%5Cbar%7B3%7D%24%7D)
Answer:
130
Step-by-step explanation:
x + 95 + 35 = 180
x + 130 = 180
x = 50
x + y = 180
50 + y = 180
y = 130
The perimeter is 41.7.
We first find the distance between each vertex using the distance formula:
![d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \\ \\=\sqrt{(0-0)^2+(-5-9)^2}=\sqrt{0^2+(-14)^2}=\sqrt{196}=14 \\ \\d=\sqrt{(6-0)^2+(-10--5)^2}=\sqrt{6^2+(-5)^2}=\sqrt{36+25}=\sqrt{61} \\=7.81 \\ \\d=\sqrt{(6-0)^2+(-10-9)^2}=\sqrt{6^2+(-19)^2}=\sqrt{36+361}=\sqrt{397} \\=19.92](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D%0A%5C%5C%0A%5C%5C%3D%5Csqrt%7B%280-0%29%5E2%2B%28-5-9%29%5E2%7D%3D%5Csqrt%7B0%5E2%2B%28-14%29%5E2%7D%3D%5Csqrt%7B196%7D%3D14%0A%5C%5C%0A%5C%5Cd%3D%5Csqrt%7B%286-0%29%5E2%2B%28-10--5%29%5E2%7D%3D%5Csqrt%7B6%5E2%2B%28-5%29%5E2%7D%3D%5Csqrt%7B36%2B25%7D%3D%5Csqrt%7B61%7D%0A%5C%5C%3D7.81%0A%5C%5C%0A%5C%5Cd%3D%5Csqrt%7B%286-0%29%5E2%2B%28-10-9%29%5E2%7D%3D%5Csqrt%7B6%5E2%2B%28-19%29%5E2%7D%3D%5Csqrt%7B36%2B361%7D%3D%5Csqrt%7B397%7D%0A%5C%5C%3D19.92)
We now find the perimeter by adding all of the side lengths:
14+7.81+19.92 = 41.73 ≈ 41.7
Answer:
2x = -5 +/- root 5 (opt 3)
Step-by-step explanation:
0 = 4f(x)
= 4(x^2 + 5x + 5)
= 4x^2 + 20x + 20
= (2x)^2 + 2*2x+5 + 25 - 5
= (2x + 5)^2 - (root 5)^2
= ((2x+5) - 5) ((2x + 5) + 5)
= (2x + 5 - 5) (2x + 5 - 5)
Therefore, 2x = -5 +/- root 5
Hope u understand.
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Answer:
4
stayed the same/remained constant
Step-by-step explanation: