Answer:
2700
Step-by-step explanation:
Perimeter of rectangle= 2(length +breadth)
2(length +breadth)= 210
length +breadth= 210 ÷2
length +breadth= 105
Since the length of the rectangle is usually taken to be the longer side of the rectangle,
length: breadth= 4: 3
[tex] \frac{length}{breadth} = \frac{4}{3} [/tex]
[tex]length = \frac{4}{3} (breadth)[/tex]
[tex] \frac{4}{3} (breadth) + breadth = 105[/tex]
[tex] \frac{7}{3} (breadth) = 105[/tex]
breadth
[tex] = 105 \div \frac{7}{3} [/tex]
[tex] = 10 5\times \frac{3}{7} [/tex]
= 45
length +breadth= 105
length +45= 105
length
= 105 -45
= 60
Area of rectangle
= length ×breadth
= 45 ×60
= 2700
Find the intercepts for the graph of the equation.
-2x-2y = -4
Answer:
y= -x+2
Step-by-step explanation:
If what they are asking for is slope-intercept format, then you need to isolate the y on one side.
So add -2x to both sides to get, -2y= 2x-4
After that you would divide both sides by -2, and when you do this you are dividing every single term by -2 so you would get,
y= -x+2
that is your slope- intercept formula.
so your slope is m= -1
Answer:
X-intercept: (2,0)
Y-intercept: (0,2)
Step-by-step explanation:
all it's asking for when it says "find the intercepts" is for two points, the one with 0 in the x position, and the one with 0 in the y position of the point (x,y).
These are surprisingly easy! Just plug 0 into x and solve for y. In this case, that gives us (-2)x(0)-2y = -4
Do some algebra and you'll find that y = 2. Since we plugged in 0 for x, that gave us the y-intercept: (0,2). (Remember, the y-intercept is when it intersects the y-axis. All points on the y axis have an X coordinate of 0!)
Now do the same thing but plug 0 in for y.
-2x - (2)x(0) = -4
-2x = -4
x=2
This gives us the x-intercept of (2,0)
Find the value of each variable in the following parallelograms.
Answer:
y+3=12
y=12-3
y=9
x-3=15
x=15+3
x=18
so,x=12
y=18
13.
A line passes through (3, –2) and (6, 2). Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.
A. y + 2 = 4/3(x – 3); –4x + 3y = –18
B. y – 3 = 4/3(x + 2); –4x + 3y = 17
C. y + 2 = 4/3(x + 3); –4x + 3y = –18
D. y – 2 = 4/3(x – 3); –4x + 3y = 18
Answer:
A. y + 2 = 4/3(x – 3); –4x + 3y = –18
Step-by-step explanation:
(3, –2) and (6, 2)
First, we must establish slope...
m=(y-y1)/(x-x1)
m=(-2-2)/(3-6)
m=-4/-3
m=4/3
Point slope formula is...
y-y1=m(x-x1)
Let's select either coordinate. I randomly select the first (3, –2)...
y--2=4/3(x-3)
Subtracting a negative number is the same as adding a positive number...
y+2=4/3(x-3)
This corresponds to the first answer.
Standard form...
Ax+By=C
y+2=(4/3)x-4
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
This also corresponds to the first answer.
How about the second coordinate, (6, 2)...
y-y1=m(x-x1)
y-2=(4/3)(x-6)
Let's convert it into standard form..
y-2=(4/3)x-8
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
FIRST ANSWER
y + 2 = 4/3(x – 3); –4x + 3y = –18
PLS HURRY!!! Miley has a shoe shelf 33 inches wide. If each of her shoes is 2 3/4 inches wide, how many shoes can she fit on the shelf? Which statements are correct? Check all that apply. A> To solve this problem, divide 33 by 11/4 B>To solve this problem, multiply 33 by 11/4 C> Miley’s shoe shelf can fit 12 shoes. D> Miley’s shoe shelf can fit 90 shoes.
3 Original Image
3
Scale Drawing
OBO
3 in
5 in
Scale Factor =
What the scale factor plz explain answer HELP ME
math question 6r + 7 = 13 +7r
Step-by-step explanation:
6r + 7 = 13 + 7r
6r - 7r = 13 - 7
-1r = 6
r = 6/-1
r = -6
Consider the function f (2) = 9x + 2. Choose the correct answer when the function is evaluated for f (3)
f(3) = 95
f(3) = 29
f(3) = 11
f(3) = 20
Answer:
f(3)=20
Step-by-step explanation:
Can someone pls help me
Answer:
360-140-80=140
So 140 degrees is the answer
Answer:
The answer is 140%
Step-by-step explanation:
Give me brainlest please
Which property is demonstrated?
(5+19)+6=5+(19+6)
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Answer:
Commutative Property of Addition
Factor the following trinomials. Show your work. Will mark as Brainliest if the answers are correct and have work shown.
1. -2x^2 - 10x + 100
2. 3x^3 + 9x^2 - 54x
3. x^2 +12x + 20
1st Question:
Our problem is [tex]-2x^2 - 10x + 100[/tex]
We have a common factor between the three terms, -2. So:
[tex]-2x^2 - 10x + 100[/tex]
[tex]-2(x^2 + 5x -50)[/tex]
We can factor further. What two numbers add up to 5 and multiply to -50? Our answer would be positive 10 and -5. Therefore:
[tex]-2(x^2 + 5x -50)[/tex]
[tex]-2(x +10)(x-5)[/tex]
2nd Question:
The problem is [tex]3x^3 + 9x^2 - 54x[/tex]
Like the first question, we can factor out a constant. In this case, we factor out a 3.
[tex]3x^3 + 9x^2 - 54x[/tex]
[tex]3(x^3 + 3x^2 - 18x)[/tex]
We can also factor out an x.
[tex]3(x^3 + 3x^2 - 18x)[/tex]
[tex]3x(x^2 + 3x - 18)[/tex]
We need to simply further. We can factor the quadratic into (x+6)(x-3).
[tex]3x(x^2 + 3x - 18)[/tex]
[tex]3x(x+6)(x-3)[/tex]
3rd Question:
Our problem is [tex]x^2 +12x + 20[/tex]
We do not have a coefficient, so we should factor the expression straight away. What two numbers add up to 12 and multiply to 20? the numbers 2 and 10. So:
[tex]x^2 +12x + 20[/tex]
[tex](x+2)(x+10)[/tex]
78899999x344444444444444444
Answer:
2.7176666e+25
Step-by-step explanation:
a big number tbh
I really need help on this problem. Godbless for however help me
Answer:
Mjk = KLM
So
Mjk = 48
Step-by-step explanation:
The answer is 48
a)Preform. Increase 2.75 by 1/4
b) Divide 4 2/15 by 3.1
c)Decrease 9 3/8 by 4.37
d)Increase 5.4 by 1 1/27
(Please do not take advantage of the points i just want my hmwrk done and I have some extra points leftover from questions)
Answer:
a) 3
b) 4/3
c) 5.005
d) 6.437037
Step-by-step explanation:
increase and decrease is just adding and subtraction so all you're really doing here is addition, subtraction, and division
a) Solution of ' Increase 2.75 by 1/4' is 3.
b) Solution of 'Divide 4 2/15 by 3.1' is 1.33.
c) Solution of 'Decrease 9 3/8 by 4.37' is 5.005.
d) Solution of 'Increase 5.4 by 1 1/27 is 5.81.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
All questions are;
a) Increase 2.75 by 1/4
b) Divide 4 2/15 by 3.1
c) Decrease 9 3/8 by 4.37
d) Increase 5.4 by 1 1/27
Now, Solve the expression as;
a) Increase 2.75 by 1/4 = 2.75 + 1/4
= 2.75 + 0.25
= 3
Thus, Solution of ' Increase 2.75 by 1/4' is 3.
b) Divide 4 2/15 by 3.1 = 4 2/15 ÷ 3.1
= 62/15 ÷ 3.1
= 4.13 ÷ 3.1
= 1.33
Thus, Solution of 'Divide 4 2/15 by 3.1' is 1.33.
c) Decrease 9 3/8 by 4.37 = 9 3/8 - 4.37
= 75/8 - 4.37
= 9.375 - 4.37
= 5.005
Thus, Solution of 'Decrease 9 3/8 by 4.37' is 5.005.
d) Increase 5.4 by 1 1/27 = 5.4 + 11/27
= 5.4 + 0.41
= 5.81
Thus, Solution of 'Increase 5.4 by 1 1/27 is 5.81.
So,
a) Solution of ' Increase 2.75 by 1/4' is 3.
b) Solution of 'Divide 4 2/15 by 3.1' is 1.33.
c) Solution of 'Decrease 9 3/8 by 4.37' is 5.005.
d) Solution of 'Increase 5.4 by 1 1/27 is 5.81.
Learn more about the addition visit:
https://brainly.com/question/28682231
#SPJ6
Due in 30 minutes!!
Thank you:)
Answer:
The 3rd one as it's cubic
Answer:
The first one.
Step-by-step explanation:
Find the asymptotes.
Vertical Asymptotes: x = − 2
Horizontal Asymptotes: y = 3
No Oblique Asymptotes
So it has to be y=(1)/(x+2)+3
Determine the x-intercepts of the quadratic function g(x)=x2-9x+20
Answer:
The x-intercepts of this quadratic function is (4,0) and (5,0)
Step-by-step explanation:
When you graph the equation, you can locate the points by seeing where the lines cross over on the x-axis.
30 miles per hour over a period of 10seconds
Step-by-step explanation:
Average = 30 mil/h
Period = 10s
Av = 30 ÷ 360 / 3600 ÷ 360
Av = 1/12 mil / 10 sec
Given the diagram below, find the value of y.
Answer:
y = 9°
Step-by-step explanation:
These are vertical angles, so we can set them equal to each other.
Equation: (11y - 36)° = 63°
"Distribute:" 11y - 36° = 63°
Add 36 to both sides: 11y = 99°
Divide both sides by 11: y = 9°
Giving us an answer of: y = 9°
According to the Vertical Angle Theorem, 11y-36=63.
Solving this:
11y-36=63
11y=99
y=9
Hope this helped.
THE ANGLES OF THE TRIANGLE ARE IN THE RATIO 5:3:7. THE TRIANGLE IS,
a. an acute angled triangle
b. an obtuse angled triangle
c. a right angle
d. an isosceles triangle
Answer:
a. acute
Step-by-step explanation:
the angles are 60° 36° 84°
all less than 180° and 90°
Find the value of Y
12y-32=4y
Hello there! (:
12y-32=4y
12y-4y=32
8y=32
Divide both sides by 8 in order to get y on its own:
y=4
Hope it helps!
~SparklingFlower (:
Greatest comm
Find the greatest common factor of 80 and 20.
Hello there!
The GCF of 80 and 20 is 20.
Because both numbers are evenly divisible by 20; this is their greatest common factor (GCF)
Therefore, the GCF is 20.Hope this helps you!
~Just a felicitous girlie
#HaveAnAwesomeDay
[tex]SilentNature[/tex]
City Middle School is raising money for new gym equipment by selling cookie dough.
• 25% of all money collected from the sale will go towards the equipment.
• The sixth grade sold $511.94 worth of cookie dough.
• The seventh grade sold $385.96 worth of cookie dough.
• The eighth grade sold $491.12 worth of cookie dough.
About how much money did the school raise for the new gym equipment?
Explanation:
Add up the dollar figures given
511.94+385.96+491.12 = 1389.02
The school raised a total of $1,389.02
Of that total, 25% will go toward the gym equipment.
25% of 1389.02 = 0.25*1389.02 = 347.255 which rounds to 347.26
Answer:
$347.255
Step-by-step explanation:
add all the sales of sixth to eight grade and multiply to .25
You need to hire a ride to your friends house. Lyft charges $8 plus $2 per mile.
Uber charges $10. plus $1.50 per mile. After how many miles are the total costs the
same for Lyft and Uber?
Answer:
4 miles
Step-by-step explanation:
8 + 2x = 10 + 1.50x
8 + 0.50 = 10
0.5x = 2
x = 2/0.5
x = 4
I hope that this helps!!
Will give brainliest!!
-12x = -48
A. 576
B. 4 (my guess)
C. -4
D. 1/4
Answer:
x = 4
Step-by-step explanation:
−12=−48
-12x=-48−12x=−48
−12−12=−48−12
x = 4
Find the perimeter.Simplify your answer.
Answer:
24x - 6
Step-by-step explanation:
Perimeter = 2(8x - 3) + 2(4x)
Perimeter = 16x - 6 + 8x
Perimeter = 24x - 6
-Chetan K
In 1788, the new United States _separated the national government into threee branches and later added ten amendments called the Bill of Rights
Answer:
?
Step-by-step explanation: Sorry what am I supposed to answer here? I will edit this to the answer when you tell me.
Answer:
constitution of the nation
Step-by-step explanation:
Write the ratio as a fraction in simplest form which whole numbers in the numerator and denominator 4 to 36
Answer:
1:9
Step-by-step explanation:
4:36
4 divided by what can be divisible by 36 too?
4 itself can.
4 divided by 4 is 1 and 36 divided by 4 is 9
1:9
A snack bar sells 20 cups of hot chocolate on Monday. On Friday they sell 30 cups of hot chocolate. What is the percent increase/decrease?
Answer:
50% increase
Step-by-step explanation:
Solve the system of equations by the substitution method.
( y=2x+1
4y - 5x=13
Type an ordered pair
Step-by-step explanation:
y = 2x + 1
4y - 5x = 13
4(2x + 1) - 5x = 13
8x + 4 - 5x = 13
8x - 5x = 13 - 4
3x = 9
x = 9/3
x = 3
y = 2x + 1
y = 2.3 + 1
y = 6 + 1
y = 7
(x,y) = (3,7)
Bots don’t answer, please please
Graph the compound inequality on the number line.
X ≤4 or ≥ 7
Answer:
The number line is attached.
Step-by-step explanation:
The holes are filled in since they are both inclusive of the value they hold, and there are two separate lines since they are broken apart by "or".
