Answers
Answer:
Step-by-step explanation:
4(x-3)^2 = 80
4x-12^2= 80 --- (distribute)
4x+144= 80 --- ( why a positive 144 because a (-) * a (-) = a (+)
4x = (80-144) --- ( subtract -144 from +144(do it on both sides)
4x = -64 --- (divide both sides by 4)
x= -16
Answer:
2√5 +3
Step-by-step explanation:
Isolate x:
4(x-3)^2 = 80
Divide both sides by 4.
(x-3)^2 = 20
Then take the square root of each side.
(x-3) = √20
Add 3 to each side.
x = √20 + 3
√20 can be rewritten as 2√5.
x = 2√5 + 3
Related Questions
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi
Answers
A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.
What is Pythagoras's Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
Let x be the length of the boat from the dock.
From the Pythagoras' theorem
[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]
Hence, the length of the boat from the dock will be 15 miles.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
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A store manager receives a delivery of 2 boxes of lightbulbs. Each box contains 25 lightbulbs. The store manager tests all the lightbulbs and finds that 2 of them are defective. Based on these results, what can the store manager predict about the next delivery of lightbulbs?
Group of answer choices
A. A delivery of 6 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
B. A delivery of 5 boxes will contain 10 more defective lightbulbs than a delivery of 2 boxes
C. A delivery of 4 boxes will contain 2 more defective lightbulbs than a delivery of 2 boxes
D. A delivery of 3 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
Answers
Answer:
Answer is C
Step-by-step explanation:
There is one faulty light bulb in each box. 4 boxes 4 bad lightbulbs since there we two in the first to 2+2 is 4
Miguel does 150 lunges and 120 pushups each week. Which statement is true about the ratio of lunges to pushups?
For every 5 lunges Miguel does, he does 4 pushups.
For every 4 lunges Miguel does, he does 5 pushups.
For every 15 lunges Miguel does, he does 4 pushups.
For every 12 lunges Miguel does, he does 5 pushups.
Answers
Answer:
For every 5 lunges, 4 pushups
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the pyramid is 6\text{ ft}6 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
[tex]V=6.66\ ft^3[/tex]
Step-by-step explanation:
The perimeter of the square base of a pyramid = 7.3 ft
The height of the pyramid, h = 6ft
The perimeter of a square is given by :
P = 4s, s is the side of square
7.3 = 4s
s = 1.825 ft
The volume of a pyramid is given by :
[tex]V=\dfrac{lbh}{3}[/tex]
Here, l = b = 1.825 ft
So,
[tex]V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3[/tex]
So, the volume of the pyramid is equal to [tex]6.66\ ft^3[/tex].
Write 4 equations:
-2 equations using sine based on triangle ABC
-2 equations using cosine based on triangle ABC
Answers
its B. if there's choices
The coordinates of the point L are (-3,7) and the coordinates of point M are
(-3,2). What is the distance, in units, between the point L and point M?
Answers
Answer:
5.
Step-by-step explanation:
x axis is the same. do 7-2. Which equls 5.
How many solutions does this equation have?
-5x-2=-5x-5
Answers
Answer:
4
Step-by-step explanation:
Answer: It has no solutions.
(Hope this helps!)
In 3 548 729, what digit is in the ten thousands place?
Answers
Answer:
4
Step-by-step explanation:
Answer: 7
Step-by-step explanation: because it is 5 spaces over
how many 3 letters words can be formed with or without meaning from the letters DURIAN
Answers
Answer:
120 ways
Step-by-step explanation:
For this question, you just have to use the permutation technique or multiplication rule.
By using the multiplication rule,
6×5×4=120 ways
By using the permutation technique,
6P3=120 ways
correct me if I'm wrong
What is the x-intercept of the line shown below? Enter your answer as a
coordinate pair.
Answers
Answer:
do you have a graph of the line?
Find X (2/3 x) (x + 40)
Answers
The Answer Is X=84
Make an equation for x.
x+40+2/3x=180
x+2/3x=140
Combine like terms.
1 2/3x=140
140/1 2/3 =84
x=84
solve , √(6*6) + √(7*7) please ASAP
Answers
Answer:
[tex] \sqrt{(6 \times 6 } + \sqrt{7 \times 7} \\ = \sqrt{ {6}^{2} } + \sqrt{ {7}^{2} } \\ = { ({6}^{2} )}^{ \frac{1}{2} } + { {(7}^{2} )}^{ \frac{1}{2} } \\ = 6 + 7 \\ = 13[/tex]
Answer:
The answer is 13 I hope that helped you buddy <3
The width of a triangle of 7 feet longer than its length. Find the dimensions of the rectangle such that the perimeter of the rectangle is 162 feet
Answers
Answer:
Length = 37 feets
Width = 44 feets
Step-by-step explanation:
Given that :
Length = l
Width, w = 7 + l
Perimeter , P of rectangle = 162
Recall:
Perimeter of a rectangle = 2(l + w)
P = 2(l + w)
162 = 2(l + (7 + l))
162 = 2(l + 7 + l)
162 = 2(7 + 2l)
162 = 14 + 4l
162 - 14 = 4l
148 = 4l
l = 148 / 4
l = 37 feets
Width = l + 7
Hence,
Width = 37 + 7 = 44 feets
Hellppppppppppppp I neeeeed itttt
Answers
Answer:
20
Step-by-step explanation:
Please help me I have been stuck for a while now
Answers
The square root of 9 is 3, so the square root of 11 would be a little greater than 3
The answer would be C. 3.3
What is the result when the number 72 is decreased by 44%? Round your answer to the nearest tenth.
Answers
Here is how to solve it.
44% of 72 is 31.68
Now you subtract 72-31.68 and get 40.32.
Then you round to the nearest tenth so then it’s 40.3
If using the method of completing the square to solve the quadratic equation x2 – 3x + 20 = 0, which number would have to be added to "complete the square"?
Answers
Answer:
⁹/₄Step-by-step explanation:
The square is: a²-2ab+b²
We have
[tex]x^2-3x[/tex]
it's: [tex]x^2-2\cdot x\cdot\frac32[/tex]
so we need: [tex]\left(\frac32\right)^2=\frac94[/tex]
[tex]x^2-2\cdot x\cdot\frac32+\frac94-\frac94+20=0\\\\(x-\frac32)^2-2.25+20=0\\\\(x-\frac32)^2=-17.75[/tex]
witch, of course, means no solution
The perimeter of the figure below is 61.1 m. Find the length of the missing side.
Answers
Answer:
I believe it would be 12.9
Step-by-step explanation:
perimeter is all of the outside lengths combined. if you take the 61.1 and subtract the lengths it gives you, the remaining length should be your answer
Without using a calculator, order the following numbers from least to greatest . 5 sqrt(14) 4
Answers
Answer:
.5, sqrt 14, 4
Step-by-step explanation:
.5, 3.7416, 4
621,584 round to the nearest ten
Answers
Answer:
621,580
and i have to add at least 20 characters so how is everyone’s day?
Answer:
621,580
Step-by-step explanation:
nearest 10 means finding which 10 they are nearest to. and 84 is rounded to 80 because the number is not 85 or higher if that makes sense.
Which answer is correct?
Answers
Answer:
B
Step-by-step explanation:
Philip rode less than her so immediately you subtract which cancels answers a and d.
we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5
Will pay for answer
Triangle DEF has vertices at the coordinates D(1,-1), E (3,4), and F(4,2). Where does the median from E Intersect DF? Compute the
length of that median. (The use of the grid is optional.)
Need ASAP
Answers
Answer:
3.54
Step-by-step explanation:
let M be the midpoint of DF
M (x,y): x = (1+4)/2 = 2.5 y = (2 + -1)/2 = 0.5
Median from E intersect DF: EM = √(3 - 2.5)² + (4 - 0,5)²
EM = √0.5² + 3.5² = 3.54
It took Mary 37 minutes to make 8 posters wrote the statement as a rate
Answers
Answer:
1 for 4.625 mins
Step-by-step explanation:
Each sq. In. Of your body has about 6.5×10^2 pores. Suppose the back of your hand has an area of about 0.12×10^2 in^2
Answers
Answer:
7800 pores on the back of your hand
Step-by-step explanation:
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10^2)(.12 x 10^2) = 7800
The number of the pores on the back of your hand will be 7800
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10²)(.12 x 10²) = 7800
Hence the number of the pores on the back of your hand will be 7800
To know more area follow
https://brainly.com/question/24372553
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Part A Complete the stem and leaf plot for this data on the average cruising speeds of Red Eagle's planes.
0.78, 0.86, 0.83, 0.83, 0.79, 0.83, 0.85, 0.85, 0.85, 0.81, 0.84, 0.84, 0.82, 0.82, 0.81, 0.83, 0.84, 0.83, 0.85, 0.85, 0.81, 0.80, 0.82, 0.82, 0.80, 0.82, 0.87, 0.84, 0.84, 0.86
ASAP PLEASE!!!! DUE IN 5 MINUTES!!!!
50 POINTS!!!!
Answers
Answer:
hope this helps you. look it once
Find the volume use pi as part of the equation round to nearest hundred
Answers
Answer:
V = 340.339
Step-by-step explanation:
V = [tex]\frac{\pi r^{2} h }{3}[/tex]
V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex] = about 340.3392 = 340.339
Answer:
340.17 ft.
Step-by-step explanation:
Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.
'r' means radius; 'h' means height; 'π' means pi.
The radius is 5; the height is 13.
πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)
340.166666667 ≈ 340.17
Therefore, the area of this circular cone is 340.17 ft.
i need help with this plzzzzzzzzzzzzzzzzzzz
Answers
Answer:
Parallel lines have to have the same slope, and the only one that has a slope of 1/4 is y = 1/4x - 1/2
(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units
Plz help
Answers
Answer: Choice D
|-50-12| = |-62| = 62 units
================================================================
Explanation:
Draw out a number line. Mark two points on it at A = -50 and B = 12
The expression |A-B| represents the distance between the two points. So that would be....
|A-B| = |-50-12| = |-62| = 62
Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.
-------------------
Slightly alternative method:
If you wanted, you could plot point C on the number like such that C is at 0.
The distance from A = -50 to C = 0 is exactly 50 units
From C = 0 to B = 12 is an additional 12 units
Therefore, the total distance is AC+CB = 50+12 = 62 units
-------------------
Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.
The sum of two integers is 10, and the sum of their squares is a minimum. Find the integers.
Answers
Hope this helps :D
https://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.1013376.html
This link also might help
The length of a line segment is 13 units. One endpoint of the line segment is -3, 7. What four points could be the other endpoints of the line segment.
Answers
Answer:
the length of a line s3gment is 13 units then its 169