m
=
−
2
, (
3,
5
)
Find the value of b
using the formula for the equation of a line.
b
=
11
Now that the values of
m (slope) and b
(y-intercept) are known, substitute them into
y
=
m
x
+
b to find the equation of the line. y
=
−
2
x
+
11
Answer:
The measure of the labeled angles is 135°
Step-by-step explanation:
we know that
if a || b
then
-----> by alternate exterior angles
Solve for x


Find the measure of the labeled angles

Okapi=o llama=l
o+l=450
3l=190+o
I cant remember how to work it out but if you have a graphics calculator you would open a calculator page, press Menu:3:1 (solve function) and type in those equations. It would look like this:
solve(o+l=450 and 3l=190o,o)
l=160 o=290
llamas are 160kg and okapis are 290kg. Hope that helped a bit :)
X^2 + 5x - 5 = 0
This is a quadratic equation that cannot be factored. It can be solved using the quadratic formula or by completing the square.
the quadratic formula is x = (-b +-sqrt(b^2 - 4ac))/2a
a is the coefficient of the x^2, b is the coefficient of the x, and c is the constant.
a = 1, b = 5, c = -5
x = (-5 +- sqrt(25+20))/2
x = (-5 +- sqrt(45))/2
x = (-5 + - 3 sqt 5))/2
x = (-5 + 3sqrt5)/2 and x = (-5 - 3sqrt5)/2
Answer:
(A) A scatter plot is used to determine if the linear model is appropriate.
(B) A linear model estimates the value of the dependent variables.
Step-by-step explanation:
The regression model is formed to estimate the Wingspan using the bird's Height when perched.
The model is of the form:

(A)
The <em>R</em> squared value is a statistic that is used to determine the proportion of variation in the dependent variable that can be explained by the independent variables.
<em>R</em> squared value of 93% indicates that 93% variation in the Wingspan is explained y the bird's height when perched.
To determine whether the linear model is appropriate one could use a scatter plot. A scatter plot is used to determine whether the provided data is representing the linear relation between two variables.
(B)
The regression model is:

This model is used to estimate the wingspan for any provided bird's height.
It does provided an accurate value of the dependent variable.
Thus, a bird with height 10 inches can have an estimated wingspan of 17 inches.