Step-by-step explanation:
To find the slope, calculate rise and run. The formula is as follows...
[tex]\frac{Rise}{Run} =\frac{y2-y1}{x2-x1}[/tex]
A farmer decides to make three identical pens with 88 feet of fence. The pens will be next to each other sharing a fence and will be up against a barn. The barn side needs no fence. What dimensions for the total enclosure (rectangle including all pens) will make the area as large as possible?
Answer:
The long fence, AC = 44 feet
4 shorter segments at 11feet each = 44 feet
Area = 484 ft^2
Step-by-step explanation:
The three pens will share one fence section parallel to the barn, we'll call it AB. Each pen will need two side fence segments, from the front fence to the barn. We'll call those portions AC. We need four of them: two for the outer sides and two more to divide up the space equally among the three pens. The total area would be AB*AC.
We know that AC + 4AB = 88 feet.
or AC = (88feet - 4AB)
Area = AB(88feet - 4AB)
Area = 88AB - 4AB^2
To maximize the area, we can take the first derivative and set it equal to zero:
Area' = 88 - 8AB
0 = 88 - 8AB
AB = 11 feet
AC = (88 - 4AB)
AC = (88 - 44)
AC = 44 feet
The fours segments of fence:
AC + 4AB = 88 feet
(44) + 4(11 feet) = 88feet
Area = 44' x 11 ft' = 484 ft^2
Can someone plss help me with this!!!
Write an equation in point-slope form of the line
that passes through the points (5. – 1) and
(-6,-4).
Answer:
y+1 = [tex]\frac{3}{11}[/tex](x-5)
Step-by-step explanation:
First, find the slope.
-4--1= -3
-6-5= -11
3/11 is the slope
Plug in the slope and one the the points.
y+1 = [tex]\frac{3}{11}[/tex](x-5)
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2(6)-2x=3
CN someone answer? Use distributive property
Answer:
I think this is what you want:
2(6)-2x=3
We then see that 2(6) and 2(x) have two in common as a "coefficient" you could say, so we distribute and put parentheses around it.
2(6-x)=3
6-x=3/2
-x=-9/2
x=9/2
How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution
Answer:
It has got one solution since it is a linear equation which falls under polynomials
Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
Answer:
See below
Step-by-step explanation:
Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)
Which line is the STEEPEST?
A) y =1/3x-1
B) y = 8x – 1
C) y = 4x – 1
D) y = 2x – 1
Mapping diagram: Is it a function? (yes /
no
) Why or why not?
Why? Because each input maps to exactly one output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.
The pair of points (5, 6) and (10, y) lie on a line with slope 4/5 . What is the value of y?
If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10
The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through points (5, 6) and (10, y)
[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]
The slope, m = 4/5
Substitute these value into the slope formula and solve for y
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]
Cross multiply:
4(5) = 5(y-6)
4 = y - 6
Collect like terms
y = 4 + 6
y = 10
Learn more here: https://brainly.com/question/13763238
Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on taking
out a 5-year loan at an APR of 4.21%. What is the monthly payment?
Answer: Alan's monthly payment would be $973.53.
Answer:
Alan monthly payment is going to be $56
Step-by-step explanation:
Marks test scores for this semester were 83,80,91,74,66,95,87,72,95,97 what is the mode of his test scores
Answer:
95
Step-by-step explanation:
Mode is what is the most frequent number that occurred; 95 occurred the most from the data.
What is the solution to this equation?
-8×+4=36
Answer:
-4
Step-by-step explanation:
[tex]-8x +4 = 36\\\\\implies 8x = 4-36\\\\\implies 8x = -32\\\\\implies x = -\dfrac{32} 8\\\\\implies x =-4[/tex]
Please helpppppppppppp
Answer:
5/4
Step-by-step explanation:
35/4 ÷ 14 = 5/4
That means 14 was multiplied by 5/4 to get 35/2
WILL GIVE BRAINLIEST IF UR RIGHTTT!
Answer:
[tex]-\sqrt{5\\}[/tex]
Step-by-step explanation:
James is 5 ft. tall and casts a 6.5 ft. shadow. At the same time, a palm tree casts a 26 ft. shadow. How tall is the palm tree?
=====================================================
Work Shown:
(height)/(shadow length) = (height)/(shadow length)
(5 ft)/(6.5 ft) = (x ft)/(26 ft)
5/(6.5) = x/26
5*26 = 6.5*x
130 = 6.5x
6.5x = 130
x = 130/(6.5)
x = 20
The palm tree is 20 feet tall, which is the same height as a 2 story building (assuming each floor is 10 ft).
I need help solving for Y
Answer:
y=24
Step-by-step explanation:
since the triangles are similar, their sides are all in proportion
meaning:
[tex] \frac{20}{15} = \frac{32}{y} [/tex]
simplify the fraction
[tex] \frac{4}{3} = \frac{32}{y} [/tex]
cross multiply once the fraction is simplified
[tex]96 = 4y[/tex]
y=24
Answer:
y = 24
Step-by-step explanation:
the first triangle 20 : x : 32
the 2nd triangle 15 : 21 : y
Solve the equation of two triangles by similarity
x = [tex]\frac{21 * 20}{15}[/tex] = 28
y = [tex]\frac{21 * 32}{28}[/tex] = 24
Trisha is saving $25 a week to go on a vacation. She determines that she will need $350 for the vacation,but she also wants to have over $100 left in her bank account after the trip. How many weeks should Trisha save?
help PLEASE
Match the following:
Answer:
3
2
4
1
Step-by-step explanation:
mark as brain list plz and like
Ben bowled 153 and 192 in his first two games. What must he bowl in his third
game to have an average of at least 170?
in his third game in order to have an average of at
Ben must bowl at least
least 170.
i NEED help pleaseee
help me please...
At least an explanation
Answer:
do u still need this question answeered?
Step-by-step explanation:
the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!
Answer:
88
Step-by-step explanation:
pls answer quickly
This Histogram shows the heights in inches of members of a middle school volleyball team.
How many members are between 50 and 70 inches tall?
A. 12
B. 10
C. 6
D. 4
Answer:
B. 10
Step-by-step explanation:
Look at the chart.
Find how many members are 50-60 inches tall. (6)
Find how many members are 61-70 inches tall. (4)
Add each member count up. (10)
To make I a subject of the formula V = IR, we *
subtract R from both sides
multiply both sides by R
divide both sides by R
divide both sides by I
The original
Equation is V = IR
Where I is multiplied by R
To solve for I you need to isolate it by dividing both sides by R
I = V/ R
Answer: divide both sides by R
Answer:
To make I a subject of the formula V = IR, we divide both sides by R.
Step-by-step explanation:
V = IR
V/R =IR/R
The R in IR/R cancels out because it is on the other side.
We then have:
V/R = I
Which can be written as:
I = V/R
Hope this helps! Have a great day!
There are 42 students separated into 6 groups for a field trip. How many students are in each group
Answer:
There is 7 students in each group
Step-by-step explanation:
So it's basically easy math 42 divided by 6 equals 7 :)
Hopes This Helps :)
chose the expressions that are equivalent to the expression 3 2/3
A) square root 3^6
B) ^3 square root 3•3
C) square root 3^2 3^2
D) ^3 square root 3^2
E) square root 3^3
F) ^3 square root 9
G) square root 3•3•3•3•3•3
H) square root 3•3•3
Answer:
E no is the correct answer
a water tank can hold up 80 gallons of water. if it is 40% full now. how many gallons of water does the tank contain?
Answer:
32 gallons of water
Step-by-step explanation:
If the total tank can hold up to 80 gallons of water, it is considered full when it contains 80 gallons. When the tank is 40% full, it has 40% of 80 gallons in the tank. 40% of 80 is 40/100*80=8*4=32 gallons of water.
6t – 6t
Please answer this :)
That would probably be zero for the answer, because if a number or an equation subtracts the same number or equation it will cancel itself out. Thus giving us zero.
Hope this help :D.
Solve for x.
5.3>x+25
x>4910
x<5710
x<4910
x>5710
Answer:
x= < 4 9/10
Step-by-step explanation:
I hope this helps
Have a great and blessed day
Answer:
K12 Answer
Step-by-step explanation:
4 apples, 2 bananas, and 5 pearsWhat is the ratio of pears to all fruit?
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
five pears out of eleven fruit total
hope this helps!
Answer:
5 : 11
Step-by-step explanation:
total fruit = 4 + 2 + 5 = 11
Then the ratio of
pears : all fruit
= 5 : 11