A corner shelf is in the shape of a triangle. One side measures \(2x^2 + 2x -1\) while another side measures \(5x + x^2 - 3\)
What is the total of two sides? Show all work.
If the perimeter measures\(3x^3 - x^2 - 8x +1\) what is the length of the missing side? Show all work.
If we know that \(x =2\) then what are the lengths of the three sides of the triangle? Show all work.
Is it possible to have these side lengths? Why or why not?
1.The total of two sides is: $6 + 8 = 14$.
2.The missing side has a length of 4.
3.All three inequalities are true, so these side lengths do form a valid triangle.
4. It is not possible to have side lengths.
1. To find the total of two sides of the triangle shelf, we simply add the two given side measurements together.
2. $Perimeter = a + b + c$ where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter measures 18, and we know that 6 and 8 are two of the sides, so we can substitute these values into the formula to solve for c:
$18 = 6 + 8 + c$
$18 - 14 = c$
$4 = c$
3. If we know that $a$ = 3, $b$ = 5, and $c$ = 8, we can check if these side lengths form a valid triangle by using the triangle inequality theorem, Therefore, we need to check if:
$a + b > c$
$b + c > a$
$a + c > b$
Substituting in the given values, we get:
$3 + 5 > 8$ (True)
$5 + 8 > 3$ (True)
$3 + 8 > 5$ (True)
4. of $a$ = 2, $b$ = 4, and $c$ = 7 for a triangle. The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side. If we apply this to the given values, we get:
$a + b > c$
$2 + 4 > 7$ (False)
For such more questions on inequalities
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What is the solution to this equation?
−1/5(x+1 3/4)=−2 1/
2
Responses
x=21 1/4
x equals 21 and 1 over 4
x=14 1/4
x equals 14 and 1 over 4
x=10 3/4
x equals 10 and 3 over 4
x=3 3/4
I WILL GIVE BRAINLYEST
Answer:
10 3/4
Step-by-step explanation:
\(x + \frac{7}{4} = - \frac{5}{2} \times - \frac{5}{1} \\ x = \frac{25}{2} - \frac{7}{4} \\ x = \frac{43}{4} \\ x = 10 + \frac{3}{4} \)
A lifeguard earns $7.50 per hour.
Represent the lifeguard's rate of income by completing the table.
Choose the correct answer for each box. Not all answers will be used.
Pls hurry!!!!! What’s the code?????
A recipe for making 3 dozen muffins requires 1 1/2 cups of flour. How many cups of flour are required to make 5 dozen of the same muffins? A) 2 cups B) 2 1/2 cups C) 3 cups D) 3 1/2 cups
5/8 + 11/12
Someone help me please and thank you.
Also please show work.
Answer:
1 13/24
Step-by-step explanation:
First we need to find the LCD (lowest common Denominator) which will be 24. When we multiply 8 x 3 = 24 we will also multiply 5 by 3 which equals 15. So 5/8 = 15/24. Then we multiply 12 x 2 = 24, and again we also multiply the numerator by the same number which is 11 x 2 = 22. So 11/12 = 22/24.
Now that we have the LCD then we can add up the two. So 15/24 + 22/24 = 37/24. Now we need to simplify that to 1 13/24. Thank you.
Find the slope of the line through the points (4,-4) and (9,-4).
Answer:
0
Step-by-step explanation:
We have two points we can use the slope formula
m = (y2-y1)/(x2-x1)
= (-4 - -4)/(9-4)
(-4+4)/(9-4)
0/5
=0
help please/ no links if you send links i will report you
Answer:
Step-by-step explanation:
1:dang you got a lot of tabs open
2:charge your device
3:yo you need to put more info down you just send an image saying a thing with no explaination. and don't send links. so dont get upset when noone can answer your Q
4:im not trying to be mean
5:i hope you find your answer
please help w/ this question!
Answer: I don't speak spanish but to simplify that equation, the answer is 32.
Step-by-step explanation:
First cross multiply (4x) and (128), then divide 4x and 128 by 4 and you will get x = 32. Hope this helps.
What is this in simplest form
Answer:
this is the simplest form
Step-by-step explanation:
since there is a variable in the fraction, you can't simplify it any further until we know that term.
Answer:
-7y/2
Step-by-step explanation:
-7y/2 cannot be simplified any further as there are no common factors of -7y and 2
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
please help ill give brainliest
Answer:
The second one
Step-by-step explanation:
Answer:
The second oneee
Step-by-step explanation:
the mark that I don't know how to do on a phone is greater than or less. from the question, we know it can be exactly 20.
3+(-7) +(-6) add the following integers
Answer:
-10
Step-by-step explanation:
expand: 3-7-6=-10
note smaller positive number minus bigger number makes negative answer, e.g 7-8= -1
The answer is:
-10Work/explanation:
Use the integer rule:
\(\rhd\quad\sf{a+(-b)=a-b}\)
___
\(\rhd\quad{\sf{3+(-7)=3-7=-4}\)
\(\rhd\quad\sf{-4+(-6)=-4-6=-10}\)
Hence, the answer is -10.
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LC33011
Question 13 of 34 ✓
Question 15
Identify the ordered pair that nameş point A.
-2
D
C
-1
2
Next Question
1
O
-1
-2
y
A
1
O A) (0.5, -1.5)
O B) (-1.5, 0.5)
O c) (-0.5, -1.5)
OD) (0.5, 1.5)
This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value of A/B
The value of A/B is given as follows:
A/B = -2.
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the function has a vertical asymptote at x = 1, hence the value of B is given as follows:
B = -1 -> as x + B = 0 -> x = -B = -1.
When x = 0, y = -2, hence the value of A is obtained as follows:
A/-1 = -2
A = 2.
Then the division is given as follows:
A/B = 2/-1 = -2.
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John used the following scale drawing to create a diagram of his bedroom. Each square is 1 cm. If the side of his desk that touches the wall is 3 m long, how long are the sides of the shelf that touch the walls?
Answer:
5 meter
Step-by-step explanation:
The shelf is 5 meters
please help quickly thanks :)
Answer:
140 ft hope this helps!
Theresa is planning on making a fleece blanket for her nephew. She learns that the fabric she wants to use is $7.99 per yard. Find the total cost of 4 yards of fabric. Justify your answer by using the Distributive Property.
Answer:
$31.96
Step-by-step explanation:
(7.99)×(4)= $31.96
Answer:
31.96
Step-by-step explanation:
ok so $7.99 is $8 so 8*4=32 so $32.00-0.04 is 31.96
Please solve this equation
-3(5-2z)=z+10
Allison rolls a standard number cube 30 times and records her results. The number of times she rolled a 4 is 6. What is the experimental probability of rolling a 4? What is the experimental probability of not rolling a 4?
Step-by-step explanation:
Experimental prob is what happened : four was rolled 6 out of 30 rolls
= 6/ 30 = 1/5
the rest of the time ( 24 rolls) it was NOT a 4 = 24/30 = 4/5
help me pleaseeeeeeee
Answer:
280/12 = 23.33
Step-by-step explanation:
Do the top one first and divide it by the bottom
Answer:
70/3
this is the answer I hope it helps u!! :D
Which table does not represent a proportional relationship? A) A 2-column table with 3 rows. Column 1 is labeled x with entries 9, 6, 3. Column 2 is labeled y with entries 3, 2, 1. B) A 2-column table with 3 rows. Column 1 is labeled x with entries 16, 18, 20. Column 2 is labeled y with entries 4, 4.5, 5. C) A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4. D) A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 10, 14, 18.
Answer: B
Step-by-step explanation:
Answer:
ITs c
Step-by-step explanation:
helplplplplplpplllp memememememememe
Answer:
on the left side 18
and the right side the one next to 3 is 0 and the one next to 24 is 8
Step-by-step explanation:
hello! :DDDDDDDDDDDDDDDDDDDDDDDDDD need help?
can somone help me withhhhh thisssss pleaseee
A pizza shop charged $49.57 for 3 large pepperoni pizzas. This price included a $2.50 delivery fee.
What was the price of a large pepperoni pizza?
Enter your answer in the box.
A) $18.63
B) $16.52
C) $15.69
D) $17.36
Answer:
C) 15.69
Step-by-step explanation:
First subtract the delivery fee from the total then divide by 3
Could someone explain this?
Answer:
You must find the maximum i.e. the highest score and the minimum i.e. the least score.
In the given question, the lowest score is 4.
the highest score is 50.
And there ya go!
???????????????????????????
Answer:
12 and 78 are complementary.
80 and 100 are supplementary.
50 and 50 are neither.
Step-by-step explanation:
Hope it helps! =D
Finnish the sentences based off the graph
Thanks :) 30 points!!!
Answer:
Step-by-step explanation:
2. y interecept --> y = 1
3. pi
4. 1, 0
I NEED CORRECT AND DETAILED STEP BY STEP ANSWERS!!
PLEASE DONT COMMENT RANDOM THINGS OR IRRELEVANT THINGS
!!!!
PERSON WHO ANSWERS CORRECTLY WILL RECIEVE 10 POINTS !! AND BRAINLIEST!! AND A THANKS!!
Answer:
Step-by-step explanation:
Let's start by finding the sum of the list of nine numbers, which we can then use to find the value of the remaining two numbers in the list:
Sum of the nine numbers = mean * number of numbers = 17 * 9 = 153
Let the three modes be a, b, and c. Since they are modes, each of them must appear at least twice in the list.
Let's assume that the numbers in the list are arranged in non-decreasing order. Then we have:
a ≤ b ≤ c
Since a, b, and c are modes, each of them must appear at least twice in the list. We have three cases to consider:
Case 1: Each of a, b, and c appears exactly twice in the list.
In this case, the remaining three numbers in the list are:
x1 = a + 4
x2 = b + 1
x3 = c - 8
We know that x1, x2, and x3 are distinct and not modes of the list. Therefore, they must be among the six numbers in the list that are not equal to a, b, or c. Let's call these numbers d, e, and f, where:
d ≤ e ≤ f
Then we have:
a + b + c + x1 + x2 + x3 + d + e + f = 153
3(a + b + c) + 3(d + e + f) = 153 + x1 + x2 + x3
Since x1, x2, and x3 are distinct and not modes of the list, we have:
x1 > c
x2 > b
x3 < c
Therefore, we can write:
x1 = c + k1
x2 = b + k2
x3 = a + k3
where k1, k2, and k3 are positive integers.
Substituting these expressions into the equation above, we get:
3(a + b + c) + 3(d + e + f) = 153 + a + b + c + k1 + k2 + k3
Simplifying, we get:
2(a + b + c) + 3(d + e + f) = 153 + k1 + k2 + k3
Since k1, k2, and k3 are positive integers, the right-hand side of this equation is at least 3. Therefore, we have:
2(a + b + c) + 3(d + e + f) ≥ 156
We want to find the value of 3(a + b + c), so let's isolate this term:
3(a + b + c) = 2(a + b + c) + (a + b + c)
Since the left-hand side is three times the sum of a, b, and c, and the right-hand side involves the sum of a, b, c, d, e, and f, we need to express d, e, and f in terms of a, b, and c.
From the inequality a ≤ b ≤ c, we have:
a + k3 ≤ b + k2 ≤ c + k1
Adding 4 to the first inequality, we get:
a + k3 + 4 ≤ b + k2 + 4 ≤ c + k1 + 4
Adding -8 to the second inequality, we get:
a + k3 + 4 ≤ c + k1 - 4 ≤ b + k2
Therefore, we can choose d = a + k3 + 4, e = c + k1 - 4, and f = b + k2. Then