Answer:
The fourth answer: A person's weight, w, on the moon is 1/6 her weight on Earth, e.
Step-by-step explanation:
The equation must be translated carefully into word form.
Her weight on Earth is represented by <em>e</em>.
"e x 1/6" into "1/6 her weight on Earth, e"
Her weight on the moon is represented by <em>w</em>.
"= w" into "A person's weight, w, on the moon is"
Another way to translate: 1/6 of a person's weight on Earth, e, is equal to her weight on the moon, w.
I hope this helped :)
Answer:
Step-by-step explanation:
Cost of 1 kg of Potatoes = $ 2
Cost of 1 kg of Carrots = $ 2.40
Let the cost of 1 kg of Potatoes = x
Let the cost of 1 kg of Carrots = y
ATQ , 8x + 5y = 28 - 1)
2x + 3y = 11.20 - 2)
Multiplying 2) by 4
8x + 12y = 44.80 - 3)
Applying Elimination method in 1) and 3)
8x + 5y = 28.00
8x + 12y = 44.80
0 + -7y = - 16.80
y = 16.8/7
y = 2.4
Putting the value of "y" in 1)
8x + 5(2.4) = 28
8x + 12 = 28
8x = 16
x = 16/8
x = 2
Answer:
Step-by-step explanation:
Given ,
A right angle triangle ΔABC with right angle at C and ∠A=30° and AC=5√5 units .
Let ∠A=A,∠B=B∠C=C and AC=b,BC=a,CA=b .
Implies perimeter of triangle = a+b+c .
now
![tanA=\frac{a}{b} \\\a=b*tanA\\a= 5\sqrt{5} *tan30^0\\a=\frac{5\sqrt{5}}{\sqrt{3}}](https://tex.z-dn.net/?f=tanA%3D%5Cfrac%7Ba%7D%7Bb%7D%20%5C%5C%5Ca%3Db%2AtanA%5C%5Ca%3D%205%5Csqrt%7B5%7D%20%2Atan30%5E0%5C%5Ca%3D%5Cfrac%7B5%5Csqrt%7B5%7D%7D%7B%5Csqrt%7B3%7D%7D)
and
![cosA=\frac{b}{c} \\\c=\frac{b}{cosA} \\c=\frac{10\sqrt{5}}{\sqrt{3} }](https://tex.z-dn.net/?f=cosA%3D%5Cfrac%7Bb%7D%7Bc%7D%20%5C%5C%5Cc%3D%5Cfrac%7Bb%7D%7BcosA%7D%20%5C%5Cc%3D%5Cfrac%7B10%5Csqrt%7B5%7D%7D%7B%5Csqrt%7B3%7D%20%7D)
implies ,
![perimeter = \frac{5\sqrt{5}}{\sqrt{3}} + 5\sqrt{5} +\frac{10\sqrt{5}}{\sqrt{3} }\\perimeter= 5\sqrt{15} + 5\sqrt{5}](https://tex.z-dn.net/?f=perimeter%20%3D%20%5Cfrac%7B5%5Csqrt%7B5%7D%7D%7B%5Csqrt%7B3%7D%7D%20%2B%205%5Csqrt%7B5%7D%20%2B%5Cfrac%7B10%5Csqrt%7B5%7D%7D%7B%5Csqrt%7B3%7D%20%7D%5C%5Cperimeter%3D%205%5Csqrt%7B15%7D%20%2B%205%5Csqrt%7B5%7D)
Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have
g(x) = k • f(x) = kx² = (√k x)²
The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means
g(1) = (√k • 1)² = 4
and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.
Answer:
38 inches
Step-by-step explanation:
just add them all together.