First set up a linear equation and using the x and y values in the table see if it solves.
It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)
Using the quadratic formula y = ax^2 +bx +c
Build a set of 3 equations from the table:
C is the Y intercept ( when X is 0), this is shown in the table as 6
Now we have y = ax^2 + bx + 6
-2.4 =4a-2b +6
1.4 = a-b +6
Rewrite the equations
a=b/2 -2.1
1.4 = b/2-2.1 +6
b = 5
a = 5/2 -2.1 = 0.4
replace the letters to get y = 0.4x^2 + 5x +6
Answer:
Slope=1, y-intercept=-1.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-4))/(0-(-3))
m=(-1+4)/(0+3)
m=3/3
m=1
y-(-4)=1(x-(-3))
y+4=x+3
y=x+3-4
y=x-1
y=mx+b where m=slope and b=y-intercept
so you have slope of 1 and y-intercept of -1
Answer:
259 ft.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.
Let h represent the height of the house above water, hence using trigonometric ratios:
tan(26) = h / 531
h = 531 * tan(26)
h = 259 ft.
Answer:
34/55
Step-by-step explanation:
Find the probability of the opposite; not a single vowel chosen.
So, the consonants are 7, so 7/11 times 6/10, which is 21/55.
Then, just 1 - 21/55 to get 34/55