Answer:
A
Step-by-step explanation:
Distance between 2 points
☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.
Length of RS
![= \sqrt{ {[ - 1 -( - 4)] }^{2} + (9 - 1)^{2} } \\ = \sqrt{( - 1 + 4)^{2} + 8^{2} } \\ = \sqrt{ {3}^{2} + 64 } \\ = \sqrt{73} \\ = 8.54 \: (3 \: s.f.)](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B%5B%20-%201%20-%28%20-%204%29%5D%20%7D%5E%7B2%7D%20%20%2B%20%289%20-%201%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%28%20-%201%20%2B%204%29%5E%7B2%7D%20%20%2B%208%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%20%2B%2064%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B73%7D%20%20%5C%5C%20%3D%208.54%20%5C%3A%20%283%20%5C%3A%20s.f.%29)
Thus, RS is about 8.5 units.
You have to subtract 5/4 by 2/3 but in order to do that you must find a common denominator or least common multiple so the least common denominator of 4 and 3 is 12 so you have to multiply 4 by 3 and three by 4 to make both denominators 12 but you have to do the same thing on the top as you did the bottom so:
5/4*3= 15/12 and 2/3*4=8/12
Then 15/12-8/12 is 7/12 so Jim has to run 7/12 more
Answer:
Rises to the left and rises to the right.
Step-by-step explanation:
Since, the given function is f(x)=
, and the end behavior of the given function is determined as:
Consider the given function f(x)=, identify the degree of the function:
The degree of the function is : 4 which is even
And then identify the leading coefficient of the given function that is +2 which is positive in nature.
Hence, the function is positive and even in nature, therefore, the end behavior of the function will be rising to the left and rising to the right.
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
