Linear functions are given in the form:
y = mx + n
m slope
n y-intercept
Inserting the given values:
-4 = -1m + n
1 = 2m + n
Solve for m and n.
Answer:
<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
Step-by-step explanation:
We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;
This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;
5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,
25 + 25 = x^2,
x^2 = 50,
x = √50
Now the same procedure can be applied to this other quadrilateral;
3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,
9 + 49 = x^2,
x^2 = 58,
x = √58
<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
Answer:
y is less than or equal to negative three fourths times x plus 2
Step-by-step explanation:
step 1
Find the equation of the solid line
we have the coordinates (0,2) and (4,-1)
Find the slope m
The formula to calculate the slope between two points is equal to
substitute
<em>Find the equation of the line in slope intercept form</em>
where
m is the slope
b is the y-intercept (value of y when the value of x is equal to zero)
we have
---> is given
substitute
Remember that
The shading area is below the line
therefore
The inequality is
y is less than or equal to negative three fourths times x plus 2
Answer:
11 , 13 , 15, 17 , 19 , 21 , 23 , 25 , 27 ,29 etc........
