Answer:
12
Step-by-step explanation:
If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?
25 * 3 = 75
87 - 75 = 12
Answer:
8 is subtracted from x
The inverse operation is addition
Add 8 to both sides
X=-2 so I think that it is: 10 is added to x
The inverse operation is subtraction
Subtract 10 from both sides
4 is multiplied by x
The inverse operation is division
Divide 4 from both sides
X is divided by 2
The inverse operation is multiplication
Multiply each side by 2
Hope it helps!
Answer:
A -2
Step-by-step explanation:
the line meets up there and it would be rise divided by run and it would get you -2
Answer:
∠x = 63°
Step-by-step explanation:
The exterior angle added with the measure of ∠BAC will equal 180, since they will form a straight line, so we can calculate the measure of ∠BAC:
128 + x = 180
x = 52
∠BAC = 52°
The angles in a triangle all add up to 180°, so we can set up another equation to find x:
52 + 65 + x = 180
117 + x = 180
∠x = 63°
Answer:
y =
x² - x + 
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 3 ), thus
y = a(x - 1)² + 3
To find a substitute (- 1, 5) into the equation
5 = a(- 1 - 1)² + 3 ( subtract 3 from both sides )
2 = 4a ( divide both sides by 4 )
a =
, thus
y =
(x - 1)² + 3 ← expand factor using FOIL
y =
(x² - 2x + 1) + 3 ← distribute parenthesis
=
x² - x +
+ 3
=
x² - x + 