ANSWER
The missing term is 42.
EXPLANATION.
We want to find the missing term of the equivalent ratio. 90:15=_____:7
Let y be the missing term, then
90:15=y:7
We rewrite as fractions to get;
![\frac{90}{15} = \frac{y}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B90%7D%7B15%7D%20%20%3D%20%20%5Cfrac%7By%7D%7B7%7D%20)
Simplify the left ratio:
![\frac{6}{1} = \frac{y}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B1%7D%20%20%3D%20%20%5Cfrac%7By%7D%7B7%7D%20)
Cross multiply:
![6 \times 7 = 1 \times y](https://tex.z-dn.net/?f=6%20%5Ctimes%207%20%3D%201%20%5Ctimes%20y)
![42 = y](https://tex.z-dn.net/?f=42%20%3D%20y)
Therefore the missing term is 42.
Answer:
2/3 =x
Step-by-step explanation:
2/x = 6/2
Simplify 6/2 =3
2/x = 3
Multiply each side by x
2/x *x = 3*x
2 = 3x
Divide each side by 3
2/3 = 3x/3
2/3 =x
To find the answer to this, we can use the formula for the diagonal of a square,
a
, with a being the length of the side. That meaans that the length of the diagonal is 98
, which is approximately equal to 138.59.
Answer
Domain of the function:
In interval notation: [6, ∞)
In set notation: {x: x∈R, x≥6}
Explanation
Remember that the the domain of the square root function are all the values such is is bigger than zero. We can express the later in set notation: {x: x∈R, x≥0}, or in interval notation: [0, ∞)
This is because the square root is not defined, in the real numbers, for negative values.
So, to find the domain of our function, we just need to set the thing inside the radical grater or equal than zero and solve for x:
The domain of the function is all the numbers bigger than 6, including 6.