Area of garden = 81 ft²
Area of square = side²
[tex] \rm \implies side ^{2} = 81 \\ \\ \rm \implies side = \sqrt{81} \\ \\ \rm \implies side = \sqrt{ {9}^{2} } \\ \\ \rm \implies side = 9 \: ft[/tex]
Perimeter of square = 4 × Side
= 4 × 9
= 36 ft
[tex] \therefore [/tex] Fencing needed by Janet = 36 ft
Determine whether the lines given in each box are parallel, perpendicular, or neither
You can do it by page say page one or page two please need it by today
Answer/Step-by-sep explanation:
To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:
1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.
2. If both lines have the same slope value, m, then both lines are parallel.
3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.
4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.
1. y = 3x - 7 and y = 3x + 1.
Both have the same slope value of 3. Therefore, they are parallel.
2. ⬜ [tex] y = -\frac{2}{5}x + 3 [/tex] and [tex] y = \frac{2}{5}x + 8 [/tex]
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜
3. [tex] y = -\frac{1}{4}x [/tex] and [tex] y = 4x - 5 [/tex]
The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.
Therefore, they are perdendicular.
4. 2x + 7y = 28 and 7x - 2y = 4.
Rewrite both equations in the slope-intercept form, y = mx + b.
2x + 7y = 28
7y = -2x + 28
y = -2x/7 + 28/7
y = -²/7 + 4
And
7x - 2y = 4
-2y = -7x + 4
y = -7x/-2 + 4/-2
y = ⁷/2x - 2
The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.
Therefore, they are perdendicular.
5.⬜ y = -5x + 1 and x - 5y = 30.
Rewrite the second line equation in the slope-intercept form.
x - 5y = 30
-5y = -x + 30
y = -2x/-5 + 30/-5
y = ⅖x - 6
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜
6.⬜ 3x + 2y = 8 and 2x + 3y = -12.
Rewrite both line equations in the slope-intercept form.
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 8/2
y = -³/2x + 4
And
2x + 3y = -12
3y = -2x -12
y = -2x/3 - 12/3
y = -⅔x - 4
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜
7. y = -4x - 1 and 8x + 2y = 14.
Rewrite the equation of the second line in the slope-intercept form.
8x + 2y = 14
2y = -8x + 14
y = -8x/2 + 14/2
y = -4x + 7
Both have the same slope value of -4. Therefore, they are parallel.
8.⬜ x + y = 7 and x - y = 9.
Rewrite the equation of both lines in the slope-intercept form.
x + y = 7
y = -x + 7
And
x - y = 9
-y = -x + 9
y = -x/-1 + 9/-1
y = x - 9
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜
9. y = ⅓x + 9 And x - 3y = 3
Rewrite the equation of the second line.
x - 3y = 3
-3y = -x + 3
y = -x/-3 + 3/-3
y = ⅓x - 1
Both have the same slope value of ⅓. Therefore, they are parallel.
10.⬜ 4x + 9y = 18 and y = 4x + 9
Rewrite the equation of the first line.
4x + 9y = 18
9y = -4x + 18
y = -4x/9 + 18/9
y = -⁴/9x + 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜
11.⬜ 5x - 10y = 20 and y = -2x + 6
Rewrite the equation of the first line.
5x - 10y = 20
-10y = -5x + 20
y = -5x/-10 + 20/-10
y = ²/5x - 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜
12. -9x + 12y = 24 and y = ¾x - 5
Rewrite the equation of the first line.
-9x + 12y = 24
12y = 9x + 24
y = 9x/12 + 24/12
y = ¾x + 2
Both have the same slope value of ¾. Therefore, they are parallel.
Need help with this. Please
Answer:
yes it would make a acute triangle
Step-by-step explanation:
You want to rent the grill at the park. It cost $20 to
rent it for 2 hours. If you only need the grill for 3/4
of that time, how much will it cost to rent the grill?
*Geometry* Please help me answer 17. To 23
17. Longest side
18. Smallest side
19. *i think* parallel
20. hypothesis is false, and a contradiction is reached
21. must be greater
22. SAS (Side-Angle-Side)
23. (To answer this look back in your notes about the section, what other Inequality Theorem is talked about, since i don't know what section this comes from i cannot help you)
I'LL GIVE BRAINLIEST! Which property of similarity can be used to prove triangles LKJ and ZYX are similar? A) SAS B) AA C) SSS D) Not enough information given
Answer:
B, because it’s Angle Angle, or (A,A)
The given triangles are similar by AA rule of similarity.
What is triangle similarity?If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.
Given are two triangles,
AA rule of similarity:
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Here we see,
∠ K ≅ ∠ Y
∠ J ≅ ∠ X
Hence, we can say that, both are similar by AA rule.
For more references on similarity, click;
https://brainly.com/question/26451866
#SPJ2
Kona’s mother realized that her age is the difference of Kona’s age squared and four. If k represents Kona’s age, which expression represents Kona’s mother’s age?
k squared minus 4
k cubed minus 4
k squared + 4
k cubed + 4
Answer:
k squared minus 4/ A
Step-by-step explanation:
took the test
Answer:A. k squared minus 4
Step-by-step explanation:
i need help please
its pretty urgent
If im born in July 13th, 2007...how old will i be in 2025?
Answer:
18 years 0 months 0 days
Step-by-step explanation:
or 216 months 0 days
or 939 weeks 2 days
or 6,575 days
or 157,800 hours
or 9,468,000 minutes
or 568,080,000 seconds
Answer:
you will be 18!
Step-by-step explanation:
So if you are born In 2007 add 3 years to that. Now it's 2010 add 10 years to that. Now it is 2020. Now just add another 5 years to that and you get- 18!
The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?
Answer:
f(x) = 8 - 1.5x
Step-by-step explanation:
Here, we want to write a function that can be used to describe the x th term of the sequence
Mathematically, this can be calculated by looking at the numbers in the sequence
The difference between each successive term
is -1.5 ( 6.5-8, 3.5 -5)
So the formula for then x th term will be;
f(x) = 8 - 1.5x
where x refers to the number of the term , for example the 4th term
Answer:
-1.5x+9.5
Step-by-step explanation:
-1.5(1)+9.5=8
-1.5(2)+9.5=6.5
-1.5(3)+9.5=5
and so on....
Find the slope of the line y = -2x +
2
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is -2
Step-by-step explanation:
In any equation that is in the form of this question, the slope is always the number next to x. An example could be y = 6x - 1, the slope would be 6. If we had y = -100x - 5, the slope would be -100.
Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
the cost of a hotel room for 5 nights is $610. there is a 9.5% tax
Answer:
wrong it is 667.95
Step-by-step explanation:
Is this isosceles triangle acute or equiangular?
Answer:
Equiangular triangle
Step-by-step explanation:
Bruce drew a scale drawing of a house and its lot. The house's driveway, which is 17 feet
wide in real life, is 34 inches wide in the drawing. What scale did Bruce use for the drawing?
Answer:
1/6
Step-by-step explanation:
Convert 17 feet to inches. 17×12 = 204
204 inches to 34 inches.
204/34 = 6
Remember we are scaling down
204× 1/6 = 34
Which method can you use to prove that the triangles are congruent
Answer:
HL
Step-by-step explanation:
It's a right triangle.
Answer: HL
Step-by-step explanation: because they are right triangles
What is the slope-intercept form of the function described by this table?
Enter your answer by filling in the boxes.
y =| | x + | |
Answer:
y = - 3x + 4
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) Point-slope form
y = mx + b Point-intercept form
(1, 1)
(2, - 2)
m = (- 2 - 1 ) / (2 - 1) = - 3
y - 1 = - 3( x - 1 )
y = - 3x + 4
NVIDIA GeForce RTX 3080 10GB GDDR6X PCI Express 4.0 Graphics CarddO YOU AGREE WITH THIS STATMENT?
maybe I do
Step-by-step explanation:
or don't sjjajahausos
A 12 oz glass of apple juice cost $2.20 at a store how much does each ounce of Apple juice cost
Answer: 18 cents or $0.18
Step-by-step explanation: you divide 2.20/12
Answer:
simple do $2.20 divide by 12 and you will get your answer
Step-by-step explanation:
$.10
Nicholas hired a moving company. The moving company charged $400 for its services, and Nicholas gives the movers a 15% tip. How much does
Nicholas tip the movers?
Answer:
The Answer is $60.00
Step-by-step explanation:
Last question!!
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answer:
Answer: SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
Solve the inequality. T/4 > 7
Answer:
T>28
Step-by-step explanation:
Multiply 4 to both sides to get your variable alone.
find the slope given (2,-7) and (-1,6)
Answer:
-0.77777777777778
Step-by-step explanation:
16+4(c-5)=220 what is c
Answer:
c=205
Step-by-step explanation:
Sam and Jane must learn to spell certain words as part of their homework. The graph shows the number of words each one learns with respect to time. In how many minutes will they have learned to spell an equal number of words?
Answer:
5 minutes
Step-by-step explanation:
because the line intersects at 5 minutes and they each learned 60 words at 5
Answer:
5 minutes
Step-by-step explanation:
:)
please actually look at the picture and do it correctly i need the correct answers i'll mark brainliest if you are correct
Answer:
12/14 to 18/w
Step-by-step explanation:
the w would equal 21 (incase you needed it) since the unit rate is 1.5
Answer:
w = 20
Step-by-step explanation:
what does x equal -x +5 = -4
Answer:
-9
Step-by-step explanation:
+number + +number = positive
-number + +number = negative
When you add a positive number to a negative number, the negative number will try to go down to 0 more
Is this correct or wrong?
Answer:
It is correct :)
Step-by-step explanation:
What is the slope of the line with the following points?
Point A (10,6)
Point B (15, 10)
Answer:
4/5
Step-by-step explanation:
Write the equation of the line that passes through the given points. (0,2) and( 2,11)
Answer:
9/2
Step-by-step explanation:
URGENT!!! From 120 to 140 find the percentage change
