Answer:
2. The y-intercept is 33 ft. The ball is 33 feet away from the wall.
3. It will take the ball 11 seconds to touch the wall.
4. The slope is -3 ft. The ball is rolling toward the wall at 3 ft per second
Step-by-step explanation:
Let x be the number of seconds.
We are told that a ball is rolling at a rate of 3 ft per second toward a wall that is 33 feet away.
Since the ball is rolling towards wall at a rate of 3 ft per second. This means that remaining distance between wall and ball is decreasing 3 ft with each passing second. Hence, the slope of our line will be negative 3 ft.
As initially ball was 33 feet away from wall, so our y-intercept will be 33.
Upon substituting our values in slope-intercept form of equation we will get equation of our line representing remaining distance between ball and wall after x seconds as:
Let us find the number of seconds that ball will take to touch the wall by finding the x-intercept of our line. Since x-intercept is the point when line crosses x-axis and at this point y equals 0. The x-Intercept of a line is obtained by putting the value of y as zero in the equation of a line.





Therefore, after 11 seconds ball will touch the wall.
Upon looking at our choices we can see that 2nd, 3rd and 4th options are correct choices.
Its -3 because of the 2 open circles on the line x = -3
the answer is 138, because you divide first then add and then multiply.
Answer:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
A
x
+
B
y
=
C
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
3
x
−
2
=
y
Move
y
to the left side of the equation because it contains a variable.
3
x
−
2
−
y
=
0
Move
2
to the right side of the equation because it does not contain a variable.
3
x
−
y
=
2
Step-by-step explanation:
Answer:
The answers are given below.
Step-by-step explanation:
7. EFGH is a rectangle. Slope of HE is 
So, the slope of EF is 
= 
8 .PQRS is a square.
So, m∠QSR = 45°
[since the diagonals bisect the internal angles of a square]
9. m∠PTQ = 90°
[since the diagonals of a square intersect each other at right angles]
10. RT = 24 unit ,
so,
PR =
unit
= 48 unit [since the diagonals of a square bisect each other]
So, SQ = PR = 48 unit
[since the diagonals of a square are equal]
11. Yes, a squae is a rectangle
12. Since RSTU is a rectangle,
so, ∠RUS + ∠SUT = 90°
⇒3x + 6 + 5x - 4 = 90°
⇒x = 11°
So, ∠RUS = 3x + 6 = 39°