Using your approximate y-intercept on the line of best fit, your equation would be y=11/7x + 3.
We find the slope by choosing two points that are on the line:
(9, 18) is easy to spot; and (2, 7) is fairly easy to spot as well. The formula for slope is:
m=y₂-y₁/x₂-x₁
m=7-18/2-9 = -11/-7 = 11/7
Slope intercept form, y=mx+b, has the slope and the y-intercept. Plugging those in we have y=11/7x+3.
So to help with the first one
2 / x = 5
multiply the x on both sides
2 = 5x
divide by 5 to isolate the x
2/5 = x
For the second one
We will use the diamond to help us find the common factor
\ 1 /
\ /
\ /
2 / \ 4
/ 3 \
/ \
1) the product
2) and 4) the two numbers
and 3) is sum
10 is the product and -7 is the sum
so what two numbers (factors of 10)
will equal -7 when added
so we have these numbers that will equal the product of +10 and we will need to find the ones that will equal -7 as the sum
10*1, 2*5, -1*-10, -2*-5
if we add the two numbers we will find respectively
11, 7, -11, -7
As you can see that -2 + -5 = +10 and -2+-5= +10
So we have found the two numbers
now before we factor the expression looks like
( x + a) (x + b)
and when factored looks like
x^2 + (a+b)x + (a*b)
Now we can plug in the numbers and solve to see if -2 and -5 are right
(x + -2) (x + -5)
we will factor it
x^2 +-5x + -2x + 10
x^2 + -7x + 10
so a = -2 and b = -5
Hope this helps :)
Trigonometric Ratios
A right triangle is defined as a triangle that has one interior angle with a measure of 90°.
The trigonometric ratios are defined as relationships between sides and angles on right triangles.
To better explain the required ratio, we'll include the following image that contains the given triangle, as described in the question:
The cosine of the angle T (shown in the figure) is defined as:
The secant of an angle is the reciprocal of the cosine, thus:
The adjacent side to angle T is 77 and the hypotenuse is 85, thus:
Answer:
2.750
Step-by-step explanation:
First, have the answer as a fraction. It is in eighths.
Answer as a fraction is 6/8.
Divide 8 from 6.
6/8=0.75 add 2.
Since it is between 2 and 3, add 2 to the answer.
Answer as decimal is 2.750
Hope this helps!
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