Answer:
x=6+2√3 or x=6−2√3
Step-by-step explanation:
Let's solve your equation step-by-step by using completing the square.
5x^2−57x=3x−120
Step 1: Subtract 3x from both sides.
5x^2−57x−3x=3x−120−3x
5x^2−60x=−120
Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.
5x2−60x/5 = −120 /5
x2−12x=−24
Step 3: The coefficient of -12x is -12. Let b=-12.
Then we need to add (b/2)^2=36 to both sides to complete the square.
Add 36 to both sides.
x2−12x+36=−24+36
x2−12x+36=12
Step 4: Factor left side.
(x−6)2=12
Step 5: Take square root.
x−6=±√12
Step 6: Add 6 to both sides.
x−6+6=6±√12
x=6±√12
x=6+2√3 or x=6−2√3
HELPPP WHAT IS THE ANSWER DONT SENT A FILE PLZ EXPLAIN STEP BY STEP PLZ I DINT HAVE A LOT OF TIME
Answer:
2nd option
Step-by-step explanation:
Consider the coordinates of T(- 3, 3 ) → T' (3, - 1 )
- 3 → 3 is 6 units right in the positive x-direction
3 → - 1 is 4 units down in the negative y- direction
Then translation rule is
(x, y ) → (x + 6, y - 4 )
solve for x
[tex]\frac{11}{x+5}[/tex] =3
Solve for X
PLEASE HELP DUE IN 10 MINS
Answer:
x = 8
Step-by-step explanation:
The measures of the angles in a triangle add up to equal 180°
That being said we can create an equation to solve for x
( note that this is a right triangle indicated by the square. A right triangle has a right angle which has a measure of 90° )
180 = 90 + 5x + 5 + 5x + 5
now we solve for x using basic algebra
step 1 combine like terms
90 + 5 + 5 = 100
5x + 5x = 10
now we have 180 = 100 + 10x
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 10x = 80
step 3 divide each side by 10
10x / 10 = x
80 / 10 = 8
we're left with x = 8
I need help im very confused??
Answer:
C) 15% off with a $15 rebate
Step-by-step explanation:
So a rebate is like a refund which means:
A) 120(.8) = 96 You use .8 because you’re paying 80%
B) 120-30= 90
C) 120(.85) = 102 you use .85 because you’re paying 85%, now
102-15= 87 Subtract 15 since you get a $15 rebate
D) 120(.9)=108 You use .9 since you are paying 90%
108-20= 88 Subtract 20 since you get a $20 rebate
since C ended up with the lowest price, the answer is C
The multiples of 4 have an even number in the tens place.What values do they have in the ones place? With multiples of 4 that are larger than 100?
Answer:
0 , 4 , 8
Step-by-step explanation:
Multiples of 4 = 12,16,18,20, 24, 28.............100, 104, 108, 112, 116,120, 124, 128
Numbers that have even no. in tens = 20, 24 , 28 ... 100, 104, 108, 120 , 124, 128
As evident, all these numbers (including those > 100) have 0, 4, 8 as one's place numbers.
picture too 1st question:
Answer:
6 gallons and 2 pints
Thank for posting the pic, it makes sense now!
CAN SOMEONE PLEASE HELP ME WITH THIS I WILL BRAINLIEST WHO EVER TELLS ME THE ANSWERS TO THIS
Lin created a design in his scrapbook by cutting square sheets of paper along the diagonal, as shown. Which equation can be used to determine the area of one triangle?
Answer:
the answer is A=(8)(8)/2
Step-by-step explanation:
PLEASE HELP RIGHT NOW ASAP I WILL GIVE BRAINLIEST IF CORRECT PLEASE HELP
URGENT PLEASE convert y = -5/6x -9 to standard slope form
Answer:
6y + 5x = -54
Step-by-step explanation:
y = m x + b -> slope-intercept form
ax + by = c -> standard form
[tex]y = - \frac{5}{6} x - 9[/tex]
6y = -5x - 54
6y + 5x = -54
A wheelbarrow has one wheel and a wagon has 4 wheels. Each day, a company has 160 wheels which makes 70 garden vehicles. How many of each vehicle can the company make?
Answer:
x = number of wheelbarrow = 40
y = number of wagon = 30
Step-by-step explanation:
Let
x = number of wheelbarrow
y = number of wagon
x + y = 70 (1)
x + 4y = 160 (2)
subtract (1) from (2) to eliminate variable x
4y - y = 160 - 70
3y = 90
y = 90/3
y =30
Substitute y = 30 into (1)
x + y = 70 (1)
x + 30 = 70
x = 70 - 30
x = 40
x = number of wheelbarrow = 40
y = number of wagon = 30
Christina is making a necklace using beads. She has 20 red, 14 blue, 10 purple, 28 green, and 8 yellow beads. She randomly chooses a bead to start the necklace. What is the probability of Christina choosing a pink bead?
Answer:
0.
Step-by-step explanation:
There is a total of 20 red + 14 blue + 10 purple + 28 green + 8 yellow beads which equal 80 total beads. However, she does not have any pink beads, so the probability of picking one is 0 pink beads / 80 total beads = 0.
Part A: What is the length of NK? Show your work
Answer:
the length of NK in the diagram above = 5.9
Answer:
Step-by-step explanation:
Line d is parallel to line c in the figure below.
Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.
Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
Step-by-step explanation:
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Answer:
A 13.7>13.07
Step-by-step explanation:
The length of a rectangle is 7 cm longer than its width.
The area of the rectangle is 120 cm².
What is the width of the rectangle?
Enter your answer in the box.
Answer:
the width is 8cm
Step-by-step explanation:
8x15=120
8(width)+7cm=15(length)
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The winner of a raffle will receive a 21-foot outboard boat. If 5000 raffle tickets were sold and you purchased 40 tickets, what are the odds against your winning the boat?
Answer:
You have a 0.8% chance of winning, and a 99.2% chance of losing
Use the rectangle FOUR to find the value of x.
in FU = 38, RQ = 2x + 9.
Answer:
x = 5
Explanation:
2x + 9 = 19
2x = 10
x = 5
Applying the properties of the diagonal of a rectangle, the value of x is determined as: 5.
Diagonals of a RectangleThe diagonals of a rectangle are of equal length.The diagonals of a rectangle bisects each other into two equal halves.FU and RO are diagonals of rectangle FOUR.Therefore:
2(RQ) = FU
Substitute
2(2x + 9) = 38
4x + 18 = 38
4x = 38 - 18
4x = 20
x = 5
Thus, applying the properties of the diagonal of a rectangle, the value of x is determined as: 5.
Learn more about diagonals of a rectangle on:
https://brainly.com/question/12925544
b) A men earns Rs.50000 in a month. He spends 30% of his income on foood
2/5 on his child's Education,0.25% on transportation and rest he saves.
i) Find the amount that he spends on each topic.
ii)Find his saving percentage.
Answer:
[tex]\huge\mathfrak\pink{ here's your solution } \\ \\ im \: soo \: happy \: [/tex]
you dont have to show work
Answer:
B
Step-by-step explanation:
The students in two 7th grade classes were asked, "How many text messages did they send over the past weekend?" The data was collected and a dot plot was created for each class. For what values do class A's distribution and class B's distribution overlap?
Answer:
2, 3, 4, and 5
Step-by-step explanation:
Class A and Class B's distributions overlap for the values of 2, 3, 4, and 5. This can be seen in the dot plot below since all of these values have inputs on both of the class' distributions. Values 0 and 1 are not included because they only have inputs for Class A, while values 6 and 7 are not included because they only have inputs for Class B. In order for the values to overlap they need to be included in both class distributions.
Answer:
2,3,4,5
Step-by-step explanation:
Class A and Class B distribution overlap at 2,3,4 and 5 because if you look at both graphs you can see how they both overlap each other.
Simplify. 8*2 + 2
Please
Answer:
Step-by-step explanation:
8 exponent 2 + 2 = 64 + 2 = 66
Answer:
8^2+2
=8*8+2 [8^2=8*8]
=64+2
=66
Step-by-step explanation:
The square of a number is equal to the number my multiplied by itself 2 times i.e. n*n=n^2. Using BODMAS (Brackets of Division, Muliplication, Addition and Subtraction), we should multiply 8 first, then add 2 to it.
Which of the following is a trinomial with a constant term?
A. x - y + 3
B. y + x ^ 3
C. x ^ 7
D. x ^ 3 + 12x ^ 2 + x
E. x + 7y
F.y ^ 2 + 12
Answer:
A) x - y + 3
Step-by-step explanation:
A trinomial is a polynomial with 3 terms, and a constant term always stays constant (for example an integer). A seems to work best.
The sum of the two angles of the parallelogram is 224 °. Calculations of parallelogram plateau angles?
Answer:
136degrees
Step-by-step explanation:
The sum of the two angles of the parallelogram is 224 °. Calculations of parallelogram plateau angles?
Note that the sum of interior angle of a parallelogram is 360 degrees
If the sum of two angles of the parallelogram is 224 °, the remaining angle will be expressed as:
Other angles = 360-224
Other angles = 136degrees
Hence the sum of other angles of the parallelogram will be 136degrees
What is the mean of the following data set: 100, 121, 105, 113, 108
Answer:
Mean = 109.4
Step-by-step explanation:
Mean = (Sum of all values)/(Number of values)
Mean = (100 + 121 + 105 + 113 + 108)/(5)
Mean = (547)/5
Mean = 109.4
Answer:
109
Step-by-step explanation:
Mean is just finding the average of the data set.
100+121+105+113+108=547, first add up all the numbers
547/5=109.4, then divide that sum by the amount of numbers in the set
Select all the expressions that are equivalent to 3x – 1.
7x + 2x – 6x – 1
2(2x – 1) – x + 1
3(x – 1) + 1
12(6x – 2)
6x – 12(4x + 2)
Answer:
first
2nd
_______________
Pleaseee helppp asap
Answer:
58 percent is one of them
Step-by-step explanation:
105 freshman divided by 180 students total
PLEASE HELP WAITING 3 HOURS NOW
NO NONSENSE WILL REPORT
What is the missing number? 17- =8
Step-by-step explanation:
17-9=8 so your welcome byee
PLZ HELP FAST!!
Which is a condition needed to apply Cavalieri’s Principle to compare the volume of two solids? Select all that apply.
Both solids have a square base
Both solids are spherical
Both solids have the same height.
Both solids have the same base area.
Both solids have the same base shape.
Cavalieri's principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.