Answer:
Breadth is 4 m and length is 8m
Step-by-step explanation:
Area of the rectangle = Length * breadth
Area of the rectangular goat pen= 32 square meters
Perimeter of the rectangular goat pen = 24 meters
Perimeter of the rectangle = 2(length + breadth)
24= 2(l+b)
12= length + breadth
12- breadth = length ----------- equation A
Area = l*b
32= l*b
32= (12- b) *b
32= 12b- b²
b²-12b+32= 0------------------- equation B
Solving the quadratic equation by factorization
b²- 8b- 4b+32= 0
b(b-8) -4(b-8)= 0
(b-8) = 0
(b-4)= 0
b= 8 or b=4
As breadth is usually smaller than length then putting b= 4 in equation A
gives
12- breadth = length
12-4= length
length = 8
Hence breadth is 4 m and length is 8m
what is x/y+z=w to make x the subject of the formula
We can make x the subject of the equation by moving all the other terms to the opposite side of the equal sign while x is on the next.
x/y+z=w [multiply both sides by y+z]
x = w (y + z)
and y represents the number of tiles), which figure number has 40 tiles in it?
For a tile pattern with the rule y = 6x+4 (where x represents the figure number
How do you know?
Ksjdjfnfkdkdklddkdkfjfnfnfnnffk
Answer: X = 20
Step-by-step explanation:
Answer: X = 20
Step-by-step explanation:
To get this
3 * 20 + 12 = 20
3*20=60
60+12=72
72
(x^2 + 2x + 2)(x + 5) = 0
help plz ill give u BRAINEST
Answer:
First option, relation 1 and relation 4
Step-by-step explanation:
Because they both cross one of the two axes once, which from what I remember, makes it a function.
Hope this makes sense, and please correct me if I'm wrong :)
ab + Bbc, a=0. b = -6, and c = 5
Answer:
180
Step-by-step explanation:
0 x -6 + -6 x -6 x 5
0 + 180 = 180
A community collage predicts that 2 out of 12 of the current students will become a nurses if that predicts is true how many students out of 1566 will be come nurses
edin has £300 in his saving account.
his bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.
how much interest will he have earned after 3 years?
Answer:
$45
Step-by-step explanation:
300/100 = $3 = 1%
$3 x 5 = $15 = 5%
$15 x 3 years = $45
describe and find the slope of the line
A number added to three is the same as twice the number. Find the number. Round your answer to the nearest integer, if necessary.
Step-by-step explanation:
let the number be x
x +3= 2x
collect the like terms
x-2x= -3
-x = -3
x=3
PLEASE MARK BRAINLIEST
I am cooking a recipe. It requires 7/2 of sugar. I only have a 1⁄4 cup to measure the sugar with. How many quarter cups would I need to measure the correct amount of
Answer:
14
Step-by-step explanation:
Convert [tex]\frac{7}{2}[/tex] to a fraction with a common denominator
[tex]\frac{7}{2} (\frac{2}{2} )=\frac{14}{4}[/tex]
You now divide the fractions to find the amount of correct measurements needed.
[tex]\frac{\frac{14}{4} }{\frac{1}{4} }[/tex] For dividing by a fraction it is the same a multiplying by its reciprocal.
This becomes [tex]\frac{14}{4} (\frac{4}{1} )=\frac{14}{4} (4)=14[/tex]
You will need 14 correct measurements.
Which of the following best describes the slope of the line below?
O A. Zero
B. Negative
C. Positive
D Undefined
Answer:
B
Step-by-step explanation:
going down on the right
Answer:
B
Step-by-step explanation:
Aline with zero slope is a horizontal line parallel to the x- axis
A line with undefined slope is a vertical line parallel to the y- axis
A line sloping upwards from left to right has a positive slope
A line sloping downwards from left to right has a negative slope.
The line shown slopes downwards from left to right and has a negative slope
Help help me pleaseee and thanks
Answer:
10
Step-by-step explanation:
sqrt. 100 = 10
because base x height = area
base and height must be same length in a square
What is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7
Answer:
y=-1/6x-2
Step-by-step explanation:
Lets find the slope of the given line
6x-7=y,m=6
The slope of the perpendicular line would be=-1/6
Using the point-slope form y-y1=m(x-x1)
y--1=-1/6(x--6)
y+1=-1/6(x+6)
6y+6=-x-6
6y=-x-6-6
6y=-x-12
y=-1/6x-2
Evaluate (2-5i)(p+q)(i) when p= 2 and q=5i
Answer:
it's 25qr 78 5×4 and then 12÷5= 2r28
Could someone please help answer this, please no spam, thank you, will give brainliest (homework help)!
Answer:
Step-by-step explanation:
What is the value of 32.5 ÷ 4.5 × − 4.5 , written as a decimal?
giving brainly
Answer:
-32.5 hope this helps:)
whats your zodiac sign 100 points first to answer gets brainliest
Answer:
I'm a Cancer lol.
Step-by-step explanation:
Answer:
My zodiac sign is Scorpius (Scorpion) since my birthday is on the 12th of November
Step-by-step explanation:
If a girl says she likes you but then throws a moldy apple at ur head then laughs abt it and then say she was messing does she really like ya
nooooooooo yuppp
lablots
Plz help ASAP <3
james draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper. what is the equation of the line?
A) y= 5/3 x + 3
B) y=5/3 x - 5
C) y=3/5 x - 5
D) y= 3/5 x + 3
Answer:
the answer is D
Step-by-step explanation:
yeah-ya..... right?
The equation of line will be;
⇒ y = - 3/5x + 3
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.
Now,
Since, James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.
Hence, The slope of the line = - 3/5
And, The y - intercept = 3
Thus, The equation of line will be;
⇒ y = - 3/5x + 3
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find f(x)=x^2-x^3,find f(-10)
Answer:
f(-10) = 1,100
Step-by-step explanation:
f(-10) = (-10)^2 - (-10)^3
= 100 - (-1000)
= 1,100
I NEED SOME HELP! Please? Lines a and b lie in the standard (x,y) coordinate plane. An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of line a. What is the slope of line b?
0.35
0.05
0.015
3.0
500
In the standard (x,y) coordinate plane, which of the following lines are perpendicular to the line 2y = 3x + 1?
y = - 2/3x + 3
y = -3/2x - 1
y = 2/3x - 1
y = 3/2x + 2
y = 2/3x + 1
a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.
b. 2y = 3x + 1
y = 3x/2 + 1/2
Perpendicular = negative reciprocal of original function's slope.
3/2 -> -2/3x.
Only the first one fulfills the equation, thus:
-2/3x + 3.
(1) The slope of line b is 0.35. The correct option is A.
(2) The equation perpendicular to the line y = - 2/3x + 3. The correct option is A.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
(1) An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of the line.
The slope of line b,
b = 0.2 + a
b = 0.2 + 0.15
b = 0.35
(2) The equation of the line perpendicular to the line 2y = 3x + 1 is calculated as:-
The slope of the line perpendicular to the other line is the opposite reciprocal. The equation will be,
y = -2/3x + 3
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HELPPPPPPPPPPPPPPPPppp
What is the constant of proportionality of this sentence? Sarah bought 3 pounds of grapes for $2.25. Ban bought 4 pounds of grapes for $3.00.
Answer:
75
Step-by-step explanation:
Each pound costs 75¢ so by each pound it increases by 75¢
8 /13 convert the following rational number into decimal form
Answer: 0.615
Step-by-step explanation:
actually do the division.
you will need a calculator most of the time.
8/13 = 0.615
PLEASE HELP IM STUCK ON THIS ONE
Answer:
1. 1/200
2. 15/2
3. 11/36
4. 8/5
Step-by-step explanation:
solve the inequality. -1/3w ≤ -5
Answer:
[tex] \frac{ - 1}{3} w \leqslant - 5[/tex]
[tex]w \leqslant - 5 \div \frac{ - 1}{3} [/tex]
[tex]w \leqslant - 5 \times - 3[/tex]
[tex]w \leqslant 15[/tex]
A certain substance in an experiment was being stored at −1.7°F. It was then placed on a table where the temperature was raised by 3.1F
What was the new temperature of the substance?
the answers are
-4.8F
-1.4F
1.4F
4.8F
1.4F. When you add 3.1 to -1.7 you get 14F
Answer:
The answer is 1.4.
Step-by-step explanation:
solve the inequality x/2-5>4
Answer:
x>18
Step-by-step explanation:
[tex]\frac{x}{2} -5>4\\\\\\\frac{x}{2} >9\\\\\\\\x>9(2)\\\\\\x>18[/tex]
The ratio of red marbles to blue marbles in a bag is 6:7. How many red marbles are there if there are 364 total marbles in the bag?
Answer:
162
Step-by-step explanation:
6x+7x=364 suppose
13x=364
X=364/13=27
then,
red marbles=6x
=6×27=162
Answer:
162
Step-by-step explanation:
2c–8°, 3c–14°, and c+15°
solve for c
Answer:
Simplifying
c + -2 = 3c + 14
Reorder the terms:
-2 + c = 3c + 14
Reorder the terms:
-2 + c = 14 + 3c
Solving
-2 + c = 14 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
-2 + c + -3c = 14 + 3c + -3c
Combine like terms: c + -3c = -2c
-2 + -2c = 14 + 3c + -3c
Combine like terms: 3c + -3c = 0
-2 + -2c = 14 + 0
-2 + -2c = 14
Add '2' to each side of the equation.
-2 + 2 + -2c = 14 + 2
Combine like terms: -2 + 2 = 0
0 + -2c = 14 + 2
-2c = 14 + 2
Combine like terms: 14 + 2 = 16
-2c = 16
Divide each side by '-2'.
c = -8
Simplifying
c = -8
Step-by-step explanation: