Answer:
y = 3x + 4
Step-by-step explanation:
slope = (y2 -y1)/(x2 - x1)
y2 = 19
y1 = 7
x2 = 5
x1 = 1
Slope = (19 - 7)/(5 - 1)
slope = 12 / 4
slope = 3
So far what you have is
y = 3x + b To solve for b, use either of the two points.
x = 1
y = 7
7 = 3(1) + b
7 = 3 + b
b = 4
The final equation is
y = 3x + 4
We should check that with the other point
x = 5 Find y
y = 3(5) + 4
y = 15 + 4
y = 19 Ans it checks.
Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parentheses
x+x+7+4x+28+2=85 simplify
6x+37=85 subtract 37 from each side
6x+37-37=85-37
6x=48
x=8---first number
x+7=8+7=15 second number
4(x+7)+2=4*15+2=62 third number
CK
8+15+62=85
85=85
A right triangle is a type of triangle which contains a right triangle. To be a right triangle, it should satisfy the Pythagorean Theorem which relates the three sides of the triangle. In this triangle, the longest side is called as the hypotenuse. To determine the hypotenuse, we use the Pythagorean Theorem which is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse
We calculate as follows:
c^2 = a^2 + b^2
c^2 = 6^2 + 5^2
c^2 = 61
c = √61
Therefore, the hypotenuse of the right triangle with sides 6 and 5 would be √61 which, clearly, is longer than the two sides.
This is a linear function.
A linear function is a straight line that has a slope, and follows the formula: <em>
y = mx + b</em>
In which:
y = y
m = slope
x = x
b = y -intercept
hope this helps<em />
