Answers
Answer:
Length :
12
feet
Width :
10
feet
Explanation:
Let the length of the garden be
x
feet.
Therefore, the breadth or width of the garden is
(
x
−
2
)
feet.
So, According to the problem,
x
(
x
−
2
)
=
120
⇒
x
2
−
2
x
=
120
⇒
x
2
−
2
x
−
120
=
0
[Transposing 120 to the L.H.S]
⇒
x
2
+
10
x
−
12
x
−
120
=
0
[Breaking
−
2
x
as
10
x
−
12
x
]
⇒
x
(
x
+
10
)
−
12
(
x
+
10
)
=
0
[Taking the like terms aside]
⇒
(
x
+
10
)
(
x
−
12
)
=
0
[Completing the factorisation]
We know, When two real quantities are multiplied and the product is zero, then one of them or both of them should be zero.
So, Either
x
+
10
=
0
or
x
−
12
=
0
So,
x
=
−
10
or
12
As
x
indicates length,
x
can't be negative.
So,
x
=
12
.
So, The length of the garden is
12
feet and the width of the garden is
(
12
−
2
)
feet =
10
feet.
Step-by-step explanation:
plz mark me as a brainliest
Related Questions
What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.
Answers
Applying Newton's Second Law, it is found that the force, in Newtons, is given by:
[tex]F = 10[v(21) - v(16)][/tex]
Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:
[tex]F = ma[/tex]
In this problem, mass of 50 kg, thus [tex]m = 50[/tex]
Acceleration is change in velocity divided by change in time, that is:
[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]
In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:
[tex]\Delta_t = 21 - 16 = 5[/tex]
[tex]\Delta_v = v(21) - v(16)[/tex]
Thus, the force is given by:
[tex]F = ma[/tex]
[tex]F = m\frac{\Delta_v}{\Delta_t}[/tex]
[tex]F = 50\frac{[v(21) - v(16)]}{5}[/tex]
[tex]F = 10[v(21) - v(16)][/tex]
A similar problem is given at https://brainly.com/question/18801986
There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer? it is the answer
correct ratio
7:8
5:8
8:7
Answers
Answer:
The correct ratio is 7:8, so no, Emma is not correct.
Hello cayleahm253!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.
__________________
Solving...
[tex]35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}[/tex]
__________________
So, the correct ratio is not 3:4. Instead it's 7:8.__________________
Hope it'll help you ッ
ℓucαzz
AM I RIGHT PLEASE HELP!!!
Calculate the slope of a line that passes through the points (6, -12) and (15,-3).
Answers
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, - 12 ) and (x₂, y₂ ) = (15, - 3 )
m = [tex]\frac{-3-(-12)}{15-6}[/tex] = [tex]\frac{-3+12}{9}[/tex] = [tex]\frac{9}{9}[/tex] = 1
the probability distribution of all possible values of the sample proportion is the
Answers
Answer: The sampling distribution of p is the probability distribution of all possible values of the sample proportion p.
20% of 400 is
.............
Answers
Answer:
80
Step-by-step explanation:
20% of 400 is
= 20/100 * 400
= 80
Help me with this question (will mark brainliest)
Answers
Answer:
What's the question?
help plz i will give brainliest
Answers
Answer:
12
(If needed explanation ask in the comments! ty)
Hope This Helps! •v•
How many solutions does this equation have?
9p + 5 = 5 + 9p
Answers
Infinite solutions
Step-by-step explanation:
9p + 5 = 5 + 9p
Since both sides are equal, therefore the equation has infinite solutions
Write the equation of the line that passes through the points (−3,9) and (1,−6).
Answers
Answer:
y=-3.75x-2.25
Step-by-step explanation:
Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1
(-6)-(9)/(1)-(-3) = -15/4 = -3.75
Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b
9=-3.75*(-3)+b
9=11.25+b
b=9-11.25
b=-2.25
Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b
y=-3.75x-2.25
Step 4: Plug your X values into the formula, you should get your Y values after solving
y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)
y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)
¿Qué es un dato en estadística?
Answers
Answer:
Los datos son piezas individuales de información fáctica registradas y utilizadas con fines de análisis. Es la información en bruto a partir de la cual se crean las estadísticas. Las estadísticas son el resultado del análisis de datos: su interpretación y presentación. ... A menudo, estos tipos de estadísticas se denominan "datos estadísticos".
Step-by-step explanation:
Answer:
Un dato estadístico es cada uno de los valores que se ha obtenido al realizar un estudio estadístico
Step-by-step explanation:
An angle exceeds three times its complement by 10°, find it.
Answers
Answer:
30° angle it might be same
the measure of an angle is 14 degrees less then the measure of its complement . Find the measures of the two angles
Answers
Answer:
it would be:
Step-by-step explanation:
: 14 + 14 + 14 =?
:?=42°
How can data be represented?
Answers
Data can be represented in tables, charts, and graphs.
A shipment of sugar fills 2 4/5 containers. If each container holds 2 3/7 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answers
Answer:
6 4/5 tonsStep-by-step explanation:
Multiply the number of containers by the amount in each to find the total amount of sugar:
2 4/5 * 2 3/7 = 14/5 * 17/7 = 2*17/5 =34/5 = 6 4/5.Write 3.4 · 10-4 in standard form
Answers
Hope this helps and makes your day a little better!
Brainliest?❤️
Answer: 0.00034
Step-by-step explanation: 10^-4 would move the decimal left four times.
please help me :)
see image below
Answers
Answer:
x=6
Step-by-step explanation:
2x+5=17
-5 -5
2x=17-5
2x=12
x=6
Answer:
2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D
Find slope of both lines and determine if parallel, perpendicular or neither
1) A (2,20)
B (9,55)
C (4,5)
D (9,30)
Answers
Answer:
Parallel
Step-by-step explanation:
y=5x+10
y=5x-15
Please help me with this!
Answers
Answer:
y=2x+3
Step-by-step explanation:
you should see how to get from one number to the next.
I noticed by multiplying an input by 2 then adding 3 I reach my output.
I would use this for each input to find that it would equal my output every time I used the rule
Plz help…10 points and a brainliest…
Answers
Answer:
substitute the values given,
= (2a + b) - (a - 2b)
= (2(x + 2y) + x - 2y) - (x + 2y - 2(x - 2y))
= (2x+4y+x-2y) - (x+2y-2x+4y)
= (3x+2y) - (-x+6y)
= 3x + 2y + x - 6y
= 4x - 4y
then,
(2a+b) - (a-2b) = 4x - 4y
how much did it cost to transport the following:a) 1000 bags of maize each weighing 100 kg to a distance of 70 km if transportation costs $100 per 100 kg
Answers
Answer:
100000 $
Step-by-step explanation:
Multiply:
1000*10
100000 $
Choose the algebraic expression that matches the phrase below.
h increased by 5
Answers
Answer:
h + 5
Step-by-step explanation:
increased = add so yeah...
Help me fast please I am really confused!!!!!!
Answers
Answer:
By the way that the line is facing.
if a 280g with 32 pieces chocolate bar contains 20% of fat. How much fat is in 4 pieces?
Answers
Answer:
0.8%
Step-by-step explanation:
4*20%=4*(1/5)=4/5=0.8%
I NEED HELP ASAP!!!!!
Answers
Answer:
IM PEPPA PIG
Step-by-step explanation:
UGHHHHHH 3333333
see screenshot below/above
Answers
Answer:
x-int: (-2,0)
y-int: (0,1.333)
Step-by-step explanation:
write each equation in slope-intercept form. underline the slope and circle the y-intercept in each equation 5x+3y=30
The slope - intercept form is: ___
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{Converting to Slope-Intercept Form:}\\5x + 3y = 30\\\rule{150}{0.5}\\\rightarrow 5x - 5x + 3y = 30 - 5x\\\\\rightarrow 3y = 30-5x\\\\\rightarrow\frac{3y=30-5x}{3}\\\\\rightarrow y = 10 -\frac{5}{3}x\\\\\rightarrow \boxed{y = -\frac{5}{3}x + 10}[/tex]
⸻⸻⸻⸻
[tex]\text{General Slope-Intercept Formula:}\\y = mx + b\\\rule{150}{0.5}\\$\bullet \text{ }m -\text{Slope}\\$\bullet \text{ }b -\text{Y-Intercept}\\\rule{150}{0.5}\\\text{In the given equation, the slope would be } -\frac{5}{3} \text{ and the y-intercept would be } 10.[/tex]
⸻⸻⸻⸻
[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
3
A line passes through the point (10, 1) and has a slope of
2
Write an equation in slope-intercept form for this line.
Answers
Answer:
y = 2x - 19
Step-by-step explanation:
Slope-intercept form: y = mx + b
y = (x , y) = 1
m = slope = 2
x = (x , y) = 10
b = y-intercept
Plug in the corresponding numbers to the corresponding variables:
1 = 2(10) + b
First, simplify, and then isolate the variable, b. Note the equal sign, what you do to one side, you do to the other.
First, multiply 2 with 10:
1 = (2 * 10) + b
1 = 20 + b
Next, subtract 20 from both sides of the equation:
1 = b + 20
1 (-20) = b + 20 (-20)
1 - 20 = b
b = -19
Plug in 2 for m, and -19 for b.
y = 2x - 19 is your slope-intercept form.
~
Please help! Geometry
Answers
Answer: g=100
Step-by-step explanation:
Answer:
g = 105
Step-by-step explanation:
G = 105 because the angle across from 105 on the left is also 105 (opposite angles), and g is a corresponding angle to the angle across from the 105 that is given.
1000 Chevrolet times 1000 Lamborghini
Answers
Answer:
1000000 chevginis
Step-by-step explanation:
Answer:
1000000 sports cars (Chevrolet and Lamborghinis)
Step-by-step explanation:
1000x1000
what is the equation of the line in slope intercept form that passes through the points (1,7) and (2,11)
Answers
Answer:
slope = y^2 - y^1 / x^2 - x^1 = 4
your slope would be 4
Step-by-step explanation: