Answer: 48 yards
Step-by-step explanation:
From the question, we are informed that a scale drawing of an office space uses a scale of 1 in. : 4 yd.
When the scale drawing has an area of 12 square inches, to get the area of the actual office space, we multiply the given number by 4 since the actual office space is 4× the scale drawing. This will be:
= 12 × 4 yards
= 48 yards
Find the distance between the points ( 1, 4 ) and ( -2, -1 )
Question 3 (20 points)
Factor:
36x2 - 81y2
(6x + 9y)(6x + gy)
(9x - 9y)(4x + 9y)
(6x - 9y)(6x - 9y)
(6x - 9y)(6x + 9y)
The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 36x² - 81y²
Factorize the expression, then we have
⇒ 36x² - 81y²
⇒ (6x)² - (9y)²
⇒ (6x - 9y)(6x + 9y)
The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
Find the vertex and y-intercept of the quadratic function.
y = - x2 + 4x + 7
Answer:
Vertex: (2, 11)
Y-Intercept: (0, 7)
Step-by-step explanation:
Help!!!!! Please help
Answer:
it is -2
Step-by-step explanation:
You start at (3, 8). You move right 6 units and left 4 units. Where do you end?
Answer:
(9,12) I think
Step-by-step explanation:
please help me with this i asked last time but it didn’t some the important stuff so i’m just putting a picture ^
Pls Help again I have to post separately
Find the LCM (least common multiple) of 15 and 8.
LCM =
Answer:
120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
What are the 2 points on the graph? Choose 2
A. (1,2)
B.(2,1)
C.(-1,2)
D.(0,0)
Answer:
C,D
Step-by-step explanation:
What’s the slope of this chart?
Penolope earned $50 in may then she earned $60 in june
what percent increase or decrease in Penolope´s monthly earning
Answer:
You are correct, it is 20% increase as:
(60/50) - 1 = 0.2 = 20%
What is 5x+2-4x+3 please I need help
Answer:
1x+5
Step-by-step explanation:
Which one do not lie!!!!!!
Answer:
C.The equation has a positive y-intetcept
Step-by-step explanation:
def not lying
1/2x + 1/2x = x + 1 Plzzz help
Answer:
this is the right answer you have.
Step-by-step explanation:
Regent Stadium charges $20 for a seat in the bleachers, $30 for an end zone seat, and $40 for the excellent seats near the 50-yard line. When the stadium is full, 500 tickets were sold for a total of $14,000. The number of bleacher seats is the same as the number of end zone and 50-yard line seats combined.
Answer:
The number of bleachers seat sold = 200
The number of end zone seats sold =200
The number of excellent seats sold =100
Step-by-step explanation:
Let there are bleachers seats =x
The number of zone seats =y
The number of excellent seats =z
So, we can set up equations for given sentences as
x+y+z= 500
20 x+30 y+40 z=14000
x=y
Substitute x as y into first two equations
y+y+z=500
20 y+30 y+40 z=14000
Simplify each
2 y+z=500
50 y+40 z= 14000
Multiply 2 y +z=500 by -40 to eliminate z terms when we add them.
-80 y-40 z=-20000
Add this with 50 y +40 z=14000, which gives
-30 y=-6000
Divide both sides by -30
y=200
Now, plug in y as 200 into any of the equations to find z.
2(200)+z=500
400+z =500
Subtract both sides 400.
z=100
Now, we know x=y
So, x=200
You start at (4,4). You move up 1 unit and left 7 units. Where do you end?
Answer: i believe it would be (-3 , 5)
Step-by-step explanation:
Correct me if im wrong
Answer:
(-3, 5)
Step-by-step explanation:
I could be mistaken, but I'm pretty sure it's that. You may want to graph the point yourself and double-check just to make sure.
Patrick is plotting points to show a relation that is not a function. Which point could be the next point that Patrick plots on the graph?
Please help me
An equation that has no solution is known as:
(1) impossible
(2) inconsistent
(3) incomplete
(4) an identity
inconsistent equation
Math math math :D
Please help me!
Answer:
£4.48
Step-by-step explanation:
A shopper uses a department-store gift cared to pay for 3 sweaters priced at $27. What is the change in the value of the gift card?
Answer:
$81
Step-by-step explanation:
27+27+27=$81
What should be the first step in ordering fraction with different denominators
Answer:
Find the smallest multiple (LCM) stands for of both numbers.
Rewrite the fractions as equivalent fractions with the LCM as the denominator.
Step-by-step explanation:
HELP PLEASE TO CONFUING FOR ME
Answer:wow this is hard
Step-by-step explanation:
What place value is 5 in:0.05
Answer:
5 hundredths
Step-by-step explanation:
Answer:
hundreths place
Step-by-step explanation:
Which equation represents the line that passes through (–6, 7) and (–3, 6)?
y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 9
y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 5
y = –3x – 11y
y = –3x + 25
Answer:
y = - [tex]\frac{1}{3}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, 7) and (x₂, y₂ ) = (- 3, 6)
m = [tex]\frac{6-7}{-3+6}[/tex] = [tex]\frac{-1}{3}[/tex] = - [tex]\frac{1}{3}[/tex] , thus
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 3, 6 ), then
6 = 1 + c ⇒ c = 6 - 1 = 5
y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line
Answer:
B
Step-by-step explanation:
Based on this persons answer this is what it it
Find the domain of the function expressed by the formula: y=x²+8
Please help ASAP.
Answer:
x is all real numbers.
Step-by-step explanation:
The domain of a function is a set of all real numbers.
X-4>3
Hellllp me please
x is equal to 8 and any numner greater than 8
Answer:
X is larger than 7
Step-by-step explanation:
X-4>3
X>3+4
X>7
Help please, hurry
R(4, 2) and S(10, 10) are the endpoints of a line segment. What is the midpoint M of that line segment?
Write the coordinates as decimals or integers.
M = (, )
M = (7,6)
Step-by-step explanation:
formula to find mindpoint is
[tex](\frac{x2 + x1}{2} \frac{y2 + y1}{2} )[/tex]
(4,2) = (x1, y1)
(10,10) = (x2,y2)
now substitute those into the formula!
[tex]\frac{10 + 4}{2} \frac{10 + 2}{2} [/tex]
now solve for x & y !!
[tex]x = \frac{10 + 4}{2} = \frac{14}{2} = 7[/tex]
[tex]y = \frac{10 + 2}{2} = \frac{12}{2} = 6[/tex]
so now that we have solved for x & y put it in point form and your done !!
point for is (x,y)
and thanks why the Midpoint is (7,6)
What’s the answer pls answer fast
A bag contains 120 marbles. Some are red the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?
Answer:
114
Step-by-step explanation:
Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)
19+1= 20
20 units= 120 (Data from 1st sentence)
1 unit= 120/20= 6
19 units= 120-6= 114 (Values solved in working above)
Ans: There are 114 red marbles.