Given:
The system of equation:
-------- (1)
--------- (2)
To find the values of x and y.
We will use substitution method.
From (1) we get,
We will put the value of y in (1) and we get,
or, 
Now we will apply middle term factor method.
so, x = 4 and 1
Now,
Substitute x = 4 in (1) we get,
And putting x = 1 in (1) we get,
Hence, the solution of the given system of equation is (4,-8) and (1,-5)
Thus, Option A is the correct answer.
I believe the answer is A.
Multiply the top and the bottom by the conjugate of the bottom.
So, multiply the given problem by (6+sqrt 13). This eliminates the radical from the bottom.
These triangles are either 45 45 90 triangles or 30 60 90 triangles
For the 45 45 90 triangles the smaller sides are
s and the large one is s times the square root of two
For 30 60 90 the smallest side is s the hypotenuse is 2s and the last one is s root 3
For example 1. X is 7 the hypotenuse is 14
The sides on 2 are 6 Times Square root of 2
3. The sides are 3 each
Given two points (x₁,y₁) and (x₂,y₂)the slope passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case the slope will be:
(7,-8)
(-4,6)
m=(6+8)/(-4-7)=14/-11=-14/11
point-slope form of a line: we need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀)
In this case, we know the slope (m=-14/11), and we can choose either of two points. The line will be the same.
(-4,6)
m=-14/11
y-y₀=m(x-x₀)
y-6=-14/11(x+4) ⇒ (point-slope form)
<span>Answer: D. y-6=-14/11(x+4)</span>
Answer:
4.9 & 4.2
Step-by-step explanation:
First, we will have to define mode,
“Mode is the most frequently occurring value of the given data.”
The value with the greatest frequency is called mode. In order to find mode, we have to skim through the data. The value which is repeated most is the mode of the given data. A data can have more than one modes.
For the above data,
4.9 is repeated 3 times.
4.2 is repeated 3 times.
These both numbers have highest frequency in the data.
So the modes are 4.9 and 4.2 ..
