Answer:
The zeros are

Step-by-step explanation:
we have

we know that
The formula to solve a quadratic equation of the form
is equal to

in this problem we have
Equate the function to zero
so

substitute in the formula

therefore

Answer:
y = x -3
Step-by-step explanation:
From the graph we see the line goes from point (0, -3) to point ( 3, 0), so we can find the slope as m= rise ( go up 3) / run ( go to the right 3) = 3/ 3 = 1
From the graph we can also see the y-intercept ( where the line intersects the y axis is at b = -3
The general equation of the line is y= mx+ b
Our line's equation is y = x -3, because m=1 and b= -3
Answer:
Because i have no more information i assume you would like it to be solved.
x < -1 or -1/3 < x < 1
Answer:
9 x 24 x 1/2(basically dividing by 2) = 108
, 108 x 2(two triangles) = 216
40 x 15 = 600, 600 x 2(two slanted rectangles) = 1200
40 x 24 = 960 (area of base)
Add given areas:
216 + 1,200 + 960 = 2,376 square feet, B.
Answer:
Measure of angle M = 41°
Step-by-step explanation:
From the figure attached,
NM ≅ NO [Given]
Therefore, ∠O ≅ ∠M [Opposite angle of the equal sides]
By triangle sum theorem,
m∠O + m∠N + m∠M = 180°
m∠O + m∠N + m∠O = 180° [Since, ∠M ≅ ∠O]
By substituting the values of the given angles,
(4y - 15)° + (7y)° + (4y - 15)° = 180°
(15y - 30) = 180
15y = 210
y = 14
Therefore, m∠M = (4y - 15)°
= 4(14) - 15
= 56 - 15
= 41°