Answer:
25mStep-by-step explanation:
Perimeter of the rectangular pasture P = 2(L+W)
Area A = LW
L is the length
W is the width
Given
Perimeter = 110m
Area = 750m
If the length of the pasture is 40m longer than the width, then L = W+40
110 = 2L+2w
55 = L+W .....1
750 = LW.....2
Solving simultaneously
from 1; L = 55-W
substitute into 2;
750 = (55-W)W
750 = 55W-W²
-W²+55W -750 = 0
W²-55W+750 = 0
(W²-25W)-(30W+750) = 0
W(W-25)-30(W-25) = 0
(W-25)(W-30) = 0
W-25 = 0 and W-30 = 0
w = 25m and 30m
Since L = 55-W
L = 55-25 = 30m and;
L = 55-30 = 25m
Since we are told that length id longer than the width then, the width we are going to use is 25m
Simplify the expression:
5a - 2a + 9
Answer:
3a+9
Step-by-step explanation:
Answer:
3a+9
Step-by-step explanation:
5-2=3 then 3a=9 it pretty simple
Does 80/100 equal -8
Answer:
No.
Step-by-step explanation:
80/100 equals 0.8
What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?
Answer:
the answer would be t56 im guess ing along with x
Step-by-step explanation:
The line of symmetry for the parabola represented by the equation is
x = 1.
What is a parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
Given an equation of a parabola, y = -x²+2x+6
Factorizing the equation, we get,
x = 1+√7 or x = 1-√7
We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.
We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:
(1+√7 + 1-√7)/2 = 1
Hence, the equation represents the line of symmetry of the given parabola is x=1.
For more references on parabola, click;
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how many solutions do the equations y=3x+4 and 3y-6x=2 have?
Answer:
1 solution
Step-by-step explanation:
You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.
9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.
Determine the slope of the line that passes through these points (3,9) and (-7,11)
Answer:
-5
Step-by-step explanation:
To calculate the gradient of the slope, we have to calculate the [tex]\frac{rise}{run}[/tex].
[tex]\frac{3-(-7)}{9-11}[/tex] = [tex]\frac{3+7}{-2}[/tex]
[tex]\frac{3+7}{-2}[/tex] = [tex]\frac{10}{-2}[/tex]
[tex]\frac{10}{-2}[/tex] = -5
can someone help me this is algebra 1
Jada is buying a car and the cost is c + 400 = 36,000 where c is the price of the car and 270 is the registration fee but in the end 36000 was paid.
c + 400 = 36,000
1. Avery multiplies both sides of the equation by 2 while her brother Jaxon adds 2,000 to both sides of the equation. Will both moves leads to the SAME solution for the equation? Ensure math evidence is shown or included in your response when you explain your reasoning.
2. What is the solution?
Answer:
hi do You have tiktok?mm
Mrs. Booker's meal at Chick-fil-A costs $16.78.
The tax on the meal is 6%. How much was her
total bill, including tax?
Answer:
17.79
Step-by-step explanation:
16.78*1.06=17.886
Write an integer for the situation: 1,464 feet above sea level
Answer:
The answer is 1,464.
The answer will be -1,464, when 1464 is "below sea level".
I hope it help you...
Which lists all of the x-ontercept of the graphed function 0,6
Answer:
The answer is C, because those are the points that cross the x-axis.
Step-by-step explanation:
Answer: C
Step-by-step explanation:
When you look at the graph, you can see that all the points are listed where they should be
does anyone know the answer ? and if you do can you explain how to do it ?
Answer: I think its answer choice b
Step-by-step explanation:
You're dividing so you would be subtracting the exponents
The sum of a number times 6 and 17 is at most 21.
Answer:
? that makes no sense
Step-by-step explanation:
Answer:
n × 6 + 17 ≤ 21
The vertices of a trapezoid are A(1,2), B(4,4), C(4,0). D(1.6).
Rotate the trapezoid 270 degrees counterclockwise about
the vertex a. What are the coordinates of the image?
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Expand and simplify (x + 3)(x-4)
Answer:
2x -1
Step-by-step explanation:
x*x =2x 3-4 =-1
2x+-4
What is the solution of the system? Use elimination.
2x + 2y +z = 7
-X – y +z = -5
x + 3y – 4z = 12
Answer:
The solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]2x\:+\:2y\:+z\:=\:7[/tex]
[tex]-x-\:y\:+z\:=\:-5[/tex]
[tex]x+3y-4z=12[/tex]
solving the system of the equations by the elimination method
[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]-2x-2y+2z=-10[/tex]
[tex]+[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]3z=-3[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]2x+6y-8z=24[/tex]
[tex]-[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]4y-9z=17[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]
Rearranging the equations
[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]
solve [tex]3z=-3[/tex] for z:
[tex]z=-1[/tex]
[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]
solve [tex]4y-9\left(-1\right)=17[/tex] for y:
[tex]4y-9\left(-1\right)=17[/tex]
[tex]4y+9=17[/tex]
[tex]4y=8[/tex]
[tex]y=2[/tex]
[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]
solve [tex]2x+2\cdot \:2-1=7[/tex] for x:
[tex]2x+2\cdot \:2-1=7[/tex]
[tex]2x+3=7[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
Therefore, the solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
A weather station on the top of a mountain reports that the temperature is currently and has
been falling at a constant rate of per hour. Find each temperature. Explain or show your
reasoning.
What was the temperature?
D. An hour ago?
E. 3 hours ago?
F. 4.5 hours ago?
Answer:
1 hour ago-0*C3
hours ago-(-3*C)
4.5 hours ago- (-9*C
please help!!!!!!!!!!!
Answer:
x= 40
Step-by-step explanation:
The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.
Answer:
40
Step-by-step explanation:
[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]
please mark as brainliest
explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?
Answer:
Summary:
Standard form allow us to quickly find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Step-by-step explanation:
The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.
Standard Form:
The standard form of a quadratic is:
[tex]ax^2+bx+c[/tex]
There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.
The leading coefficient a will tell us if the parabola curves upwards or downwards.
And the constant c will give us the y-intercept.
Vertex Form:
The vertex form of a quadratic is:
[tex]a(x-h)^2+k[/tex]
There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient.
The leading coefficient is given by a. Again, this tells us the orientation of the parabola.
And the vertex is given by (h, k).
Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.
Factored Form:
The factored form of a quadratic is:
[tex]a(x-p)(x-q)[/tex]
Where p and q are the zeros/roots/solutions of the quadratic.
Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.
The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.
Summary:
Therefore, each form of a quadratic equation has its own benefits.
Standard form allow us to find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Hence, depending on the question, each form can be useful in its own way.
What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?
(9x – 8y)2
(9x + 8y)2
(3x – 4y)2
(3x + 4y)2
What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?
Answer:91 i think
Step-by-step explanation:
Answer:
91
Step-by-step explanation:
6.5 x 14 =91
In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true?
Answer:
uuuuuuuuuuuuuu
Step-by-step explanation:
Students had two options for lunch, either a taco salad or a hot dog.
The ratio of taco salads to hot dogs is 3:1.
If a total of 80 lunches were served, how many were hot dogs?
Answer:
ok, so the answer would be 27 hot dogs and 53 tacos salads
Step-by-step explanation:
. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?
Answer:
4milesStep-by-step explanation:
Step one:
given
speed, v= 4mph
time taken t=1 hour
The velocity is defined and the rate of change of displacement
Required:
Distance traveled
we know that the expression relating distance, velocity and time is
velocity= distance/time
distance= velocity* time
substitute we have
Distance=4*1
Distance= 4miles
The distance traveled and the displacement of the honeybee in miles 4miles
(x+1)(x+5)≤0
Solve and write solution in interval notation
Answer:
just multiply first x+1 to x+5 then add and subtract
what’s 8.43 x 10^7 in standard form?
subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x
Answer:
x = 11/2
Step-by-step explanation:
We would first put it in an equation
5x - 1 = 10 + 3x
We would first add 1 on both sides
5x = 11 + 3x
Then we subtract 3x on both sides
2x = 11
Divide both sides by 2
x = 11/2
The value of x from the given algebraic statement expression is;
x = 11/2
This is about simple Algebra.
The first expression is that; We are to subtract 1 from the product of 5 and x. This give; 5x - 1The second expression is that we are to add 10 to the product of 3 and x. This gives us; 3x + 10Finally, we are told that the first expression gives the same value as the second expression. This means that they are equal to each other and as such, we have;
5x - 1 = 3x + 10
Let's add 1 to both sides to get;
5x - 1 + 1 = 3x + 10 + 1
⇒ 5x = 3x + 11
Let's subtract 3x from both sides to get;
2x = 11
Divide both sides by 2 to get;
x = 11/2
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Find the sum of the following nine products: 1 × (10 – 1), 2 × (10 – 2), 3 × (10 – 3), … , 9 × (10 – 9)
Answer:
9, 16, 21, 9
Step-by-step explanation:
I hope this help and it was going in order
Answer:
165
Step-by-step explanation:
We solve the first 5
1*(10-1)=9
2*(10-2)=16
3*(10-3)=21
4*(10-4)=24
5*(10-5)= 25
and notice
when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so
You add the first 5 integer you solved up
9 16 21 24 25 = 95
and then you double it no extra 25
and then you get 165 = answer
Anybody know the slope to this?
A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6
Please help!
Rewrite the rational exponent as a radical. (2 points)
Answer:
Answer: 3) [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Radical Form and Exponent Form
A radical can be expressed as a rational exponent following the identity:
[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]
We should also recall that:
[tex](x^n)^m=x^{nm}[/tex]
We are given the expression:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]
Applying the power of power:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]
Simplifying:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]
Converting to radical form:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]
Answer: 3) [tex]\sqrt{5}[/tex]