By completing squares we will see that the solutions are:
[tex]x =\pm \sqrt{35} + 8[/tex]
How to complete squares?
Here we have the quadratic equation:
[tex]x^2 - 16x + 50 = 21[/tex]
We can rewrite it as:
[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]
Then we must have a 8² term to complete squares, then we need to add and subtract 35.
[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]
Now we can solve this:
[tex]x =\pm \sqrt{35} + 8[/tex]
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“six more than three times x is less than 12
Answer:
6+3x<12
do u need x or just this
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?
Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
Length of the rope holding Kayla to the boat = 240 meters
Horizontal distance of Kayla from the boat = x = 181 meters
Let the distance of Kayla above the boat = y meters
Triangle formed is a right triangle. Therefore, by applying Pythagoras theorem in the given triangle,
x² + y² = (240)²
(181)² + y² = (240)²
y = [tex]\sqrt{57600-32761}[/tex]
= [tex]\sqrt{24839}[/tex]
= 157.6 meters
Therefore, vertical distance between Kayla and boat is 157.6 meters.
Option (4) will be the answer.
HELP this is on my quartly check!!! If ∠A is supplementary to ∠B, ∠A and ∠C are vertical angles, and m∠C = 45, what is m∠B?
Answer:
135
Step-by-step explanation:
As, Angle A and angle B are supplementry,
So, A+B=180
Angle A and Angle C are vertically opposite angles then, Angle A= Angle C
So angle C = 45°
So angle A = 45
Now, A + B = 180
45 + B = 180
B= 180 - 45
B= 135°
Hope this helps!
Q3. Kylie sits two maths test. She scores 19/25 in the first one, and 16/20 in the second one.
Which test has she done better in?
Answer: Kylie did better in the second one than she did in the first one
Step-by-step explanation:
If you do 19 divided by 25 you will get 0.76 so she got a 76% on the first test. Then if you do 16 divided by 20 you will get 0.8 so she got a 80% on the second test.
Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139.
How many hours did she spend babysitting?
How many hours did she spend giving music lessons?
6x - 15 = 3 (2x-6) + 3
Answer:
hope this helps :)
Step-by-step explanation:
How many degrees are in a half of a full turn? another dumb question lol
Answer:
180 degrees is half of a full turn 360 degrees in a full turn
Step-by-step explanation:
Segment KJ = 8, JI = x+6 and KI = 2x+8.
8
X + 6
K.
1
J
2x + 8
Find the values below. Be sure to show all your work.
a. Find x. [Respond Here]
b. Find the length of KI. [Respond Here]
Answer:
a). x = 6
b). Length of KI = 20 units
Step-by-step explanation:
From the picture attached,
a). Length of KI = length of KJ + length of JI
By substituting lengths of the segments given in the picture,
(2x + 8) = 8 + (x + 6)
2x + 8 = x + 14
2x - x = 14 - 8
x = 6
b). Length of KI = (2x + 8)
By substituting x = 6 in the expression,
Length of KI = 2(6) + 8
= 12 + 8
= 20 units
write 7 2/6 as a fraction greater than 1
nice and ez question right?
Pentagons ABCDF and JKLMN below are similar, but not necessarily drawn to scale. Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show you how to answer a similar question.
We can say that polygons are similar if they have the same shape but not necessary same size. Also their corresponding angles are equal, while their corresponding sides are proportional.
From the image attached, we can see the lengths of the sides, hence we can find the values of x.
[tex]\frac{JN}{AE}=\frac{LM}{CD}\\ \\\frac{4.8}{4}=\frac{x}{3}\\ \\1.2=x/3\\\\x=3.6[/tex]
If two-fifths of a certain number is subtracted from twice the number, the result is 4. PLS ANSWER
Answer:
4
Step-by-step explanation:
2x-2/5=4
2x= 4+(2/5)
2x= 4/5+20/5
x=(22/5)/2
x= 22/10 or 11/5
check:
2(11/5)-2/5=(22/5)-(2/5)
=20/5
=4
Answer:
213 answer
Step-by-step explanation:
I hope it help
Determine if each pair of ratios or rates are equivalent. Explain your reasoning:
48 words typed in 3 minutes || 75 words typed in 5 minutes
Answer:No, because when we divide 48/3=16 so 16 words are typed in 1 minute while when you divide 75/5=15 so 15 words are typed in 1 minute and 16 is greater than 15 so their not equivalent
Step-by-step explanation:
Write an equations to describe the linear relationship. A moving company charges $50 flat fee and $55 per hour to move
Answer:
55(x)+50
Step-by-step explanation:
Answer:
Y=55x+50
Step-by-step explanation:
If 3 cot theta= 2, find the value of 2sin theta -3cos theta /2sin theta +3cos theta
Answer:
0
Step-by-step explanation:
Using the trigonometric identity
cotx = [tex]\frac{cosx}{sinx}[/tex]
Given
3cotθ = 2 , then
3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )
3cosθ = 2sinθ ( subtract 3cosθ from both sides )
2sinθ - 3cosθ = 0
Thus
[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]
= [tex]\frac{0}{2sin0+3cos0}[/tex]
= 0
Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is
10 1/2 inches long, how many pieces can he make?
Answer:
5.25
Step-by-step explanation:
Solve: −3(k − 2) = −2
Answer:8/3
Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3
Answer:
The answer is
[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]
Step-by-step explanation:
[tex]−3(k − 2) = −2 [/tex]
Expand the terms in the bracket
That's
[tex] - 3k + 6 = - 2[/tex]
Subtract 6 from both sides of the equation
We have
[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]
Divide both sides by - 3
[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]
We have the final answer as
[tex]k = \frac{8}{3} \\ [/tex]
Hope this helps you
A sequence of numbers is 0, 12, 24, 36, 48,.... Drag tiles to complete the statements.
Answer:
60 and 72
Step-by-step explanation:
We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72
Geometric
Of the American Indian cultures that lived in Georgia, the Woodland Indians were the FIRST to A.Adopt a primarily nomadic lifestyle. B.Acquire much of the food they needed through farming. C.Construct homes using animal skins. D.Encounter and develop trade relationships with Europeans.
Answer:
Acquire much of the food they needed through farming.
Step-by-step explanation:
The term woodland Indians was one that was created around the year 1932, to describe a certain culture that was quite different from the nomadic Archaic Indians that moved around the North American continental areas.
The woodland cultures were known for the cultivation of beans, squash and corn (maize). They were also involved with the creation of unique pottery styles and the building of burial mounds.
whixh equation shows the negative one property of division
Answer:#3
Step-by-step explanation:
Ur welcome
If a population is _______
a sample of the population could be________
A. those with window seats; all passengers on a bus
B. straight-A students; the entire student body
C. all students at a high school; students at the high school whose ID
number ends in 7
D. baseball players; all athletes
Answer:
C
Hope This Helps Friend!
If f(x)=4x-3 and the domain of f is {0,5,10}, what is the range of f?
It costs $2.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 140% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.) Answer for Blank 1:
Answer: $ 3.57
Step-by-step explanation:
Given: Cost for each sandwich at the local deli shop = $2.55
They sell it at selling price = 140% of 2.55
[Replace 'of' by 'x " and '%' by [tex]\dfrac{1}{100}[/tex]]
[tex]=\dfrac{140}{100}\times 2.55\\\\=1.4\times2.55\\\\=\$3.57[/tex]
i.e. Selling price = $ 3.57
Hence, The sandwich sells for $3.57.
Answer:
3.57
Step-by-step explanation:
Two friends operate a trucking company that delivers Goods across three states they lose $24.50 each time a customer chooses to make a delivery with a competitor? Which expression shows the amount that the trucking company makes if P people use a competitor for delivery and the company makes $3,125 before the competition is considered
Answer:
3,125; 24.5p
Step-by-step explanation:
Answer:
3125-24.5p and 2,978
Step-by-step explanation:
PLEASE HELP ILL UP THE POINTS AND VOTE BRAINLIEST What is the equation of a line that has an undefined slope and passes through point (3,2)?
Answer:
x=3
Step-by-step explanation:
A line with an undefined slope is a vertical line where for each and every value of y ; x has the same value.
In this problem the x value is 3
Therefore the equation for the line is:
x = 3
Will hand out brainliest to the best answer! (+100 pts)
Answer:
6
Step-by-step explanation:
If the x is 2 in f(x) the answer should be 6 according to your table.
Answer:
6
Step-by-step explanation:
if the X is to in f(x) answerr will be 6 according to your table
can yall help me with these 4
Employees at a medical supply company are mixing saline solution for use in IVs. They start with 50 liters of 12% solution. To this, they plan to add 10% solution. How many liters of the 10% solution should they add in order to obtain a finished product that is 11% saline?
Answer:
50 liters of the 10% solution should be added
Step-by-step explanation:
Here, we want to calculate the number of liters of the 10% solution that should be added
Let the number of 10% solution to be added be x liters
So total liters is now x + 50
Thus;
50 liters of 12% + x liters of 10% = (x + 50) liters of 11 %
Hence
12/100 * 50 + 10/100 * x = 11/100 * (x + 50)
0.12(50) + 0.1(x) = 0.11(x + 50)
6 + 0.1x = 0.11x + 5.5
6 - 5.5 = 0.11x - 0.1x
0.5 = 0.01x
x = 0.5/0.01
x = 50
A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp? a scalar less than –1 a scalar between –1 and 0 a scalar between 0 and 1 a scalar greater than 1
Answer:
a scalar between 0 and 1
Step-by-step explanation:
i just took the test on EdG. :)
To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
To answer the question, we need to know what scalars and vectors are
What are scalars?These are variables that have only magnitude.
What are vectors?These are variables that have both magnitude and direction.
Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.
So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.
So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
Learn more about vectors here:
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Simplify.
8200−−−√−3162−−−√
Answer:
the question is supposed to be [tex]8 \sqrt 200 - 3\sqrt 162\\[/tex]
i think the answer is [tex]53\sqrt 2[/tex]
I'll update if its right or wrong
Step-by-step explanation:
The expression 8√200 − 3√162 in the simplified form will be 53√2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 8√200 − 3√162
Simplify the expression, then we have
⇒ 8√200 − 3√162
⇒ 80√2 − 27√2
⇒ 53√2
The expression 8√200 − 3√162 in the simplified form will be 53√2.
More about the Algebra link is given below.
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Which of the following could be a factor of the following Trinomial.
3 points
x?+ 12x +27
Answer:
[tex](x + 9)[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 12x + 27[/tex]
[tex](x {}^{2} + 3x) + (9x + 27)[/tex]
[tex]x(x + 3) + 9(x + 3)[/tex]
[tex](x + 3)(x + 9)[/tex]
[tex] \red { \orange {\boxed {\boxed{\star Option \: 1 \star}}}}[/tex]
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