Let x be the number of students in Emily's class such that 75% of x is 15.
15 = 0.75x
The value of x is equal to 20.
Let y be the number of students in Santiago's class. Similar with what we did previously,
12 = (2/3)y
The value of y is equal to 18.
Therefore, there are more student's in Emily's class than in Santiago's class.
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8
Second factor is (y + 8)
Answer:
Point form: (9,-5)
Step-by-step explanation:
y=-2/3x+1 and x+y=4
Point form: (9,-5)
Equation form: x = 9, y = -5
Answer:
A) Vertical angles
<u>----------------------</u>
1 and 3 and 2 and 4 are vertically opposite angles or vertical angles, so option A is correct.
<u>-----------------------</u>
<u>hope it helps...</u>
<u>have a great day!!</u>
Step-by-step explanation:
Any coordinates in the shaded area are solutions. Any coordinates on the line are not a solution due to it being dashed. Anything in the non-shaded area is also not a solution. You can always check if you are right by plugging in the numbers.
Example: (1, -2)
-2 < 0.5(1) + 2
-2 < 0.5 + 2
-2 < 2.5
True, -2 is less than 2.5.
Another Example: (-2, 1)
1 < 0.5(-2) + 2
1 < -1 + 2
1 < 1
False, 1 is not less than itself.