Answer:
[tex](x -3 )^2 = 10[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 6x - 1 = 0[/tex]
Required: Express as a perfect square
[tex]x^2 - 6x - 1 = 0[/tex]
Add 10 to both sides
[tex]x^2 - 6x - 1 +10= 0+10[/tex]
[tex]x^2 - 6x +9= 10[/tex]
Expand
[tex]x^2 - 3x - 3x+9= 10[/tex]
Factorize:
[tex]x(x - 3) - 3(x - 3)= 10[/tex]
Factorize:
[tex](x -3 )(x - 3) = 10[/tex]
[tex](x -3 )^2 = 10[/tex]
Find the length of the third side. If necessary, round to the nearest tenth??
Answer:
13
Step-by-step explanation:
5²+12²=c²
25+144=c²
169=c²
c=√169
c=13
The golf scores of the players on two golf teams, Team A and Team B, are listed in order from lowest to highest below. Team A: 65, 67, 67, 68, 70, 70, 70, 71, 74, 77, 78, 78, 81, 81, 82 Team B: 63, 65, 67, 68, 70, 70, 71, 73, 74, 77, 77, 77, 78, 81, 84 Which of the following statements is a correct comparison of Team B to Team A? A. Team B has a larger median and a smaller interquartile range. B. Team B has a larger median and the same interquartile range. C. Team B has a smaller median and a larger interquartile range. D. Team B has a smaller median and the same interquartile range.
Answer:
B. Team B has a larger median and the same interquartile range.
The correct statement is,
D. Team B has a smaller median and the same interquartile range.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We know that;
Based on the given data, the correct comparison of Team B to Team A is A. Team B has a larger median and a smaller interquartile range.
This is because the median score for Team B is 70, which is higher than the median score for Team A, which is 70.
The interquartile range for Team B is smaller because the scores are more tightly clustered around the median, indicating less variability in scores compared to Team A.
Thus, The correct statement is,
D. Team B has a smaller median and the same interquartile range.
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Can someone do this real quick plz
Answer:
(3.5, 2)
Step-by-step explanation:
From the attachment, we have:
[tex]H = (1,1)[/tex]
[tex]J= (2,3)[/tex]
[tex]K=(6,3)[/tex]
[tex]L = (5,1)[/tex]
Required
Determine the point of intersection
To do this, we simply calculate the midpoints of the diagonals; which are:
HK and JL
Midpoint is calculated as:
[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]
For HK:
[tex]M = \frac{1}{2}(1+6,1+3)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For JL:
[tex]M = \frac{1}{2}(2+5,3+1)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For both diagonals, the coordinate of the midpoint is (3.5, 2).
Hence, the point of intersection is: (3.5, 2)
A.5x=3x
B.5=3
how can we get equation B from equation A?
9514 1404 393
Answer:
divide by x
Step-by-step explanation:
To answer your question, you can get from A to B by dividing by x:
[tex]5x=3x\\\\\dfrac{5x}{x}=\dfrac{3x}{x}\qquad\text{only if $x\ne0$}\\\\5=3[/tex]
However, this is only a valid operation if x ≠ 0. In this equation, x = 0, so that division is not valid.
__
A better approach to the solution is to put the equation in standard form:
f(x) = 0
You can get there by subtracting 3x from both sides.
5x -3x = 3x -3x
2x = 0
Now, you can legitimately divide by 2 to find ...
x = 0 . . . . . . . . the reason why dividing by x is not allowed
The cost of $500,000 worth of 15-year term life insurance for Audrey is
$28.44 per month. If Audrey's employer covers 75% of this cost, how much is
deducted from Audrey's gross income per year for life insurance?
A. $21.33
B. $85.32
C. $341.28
D. $255.96
SUBMIT
I have a 6 in the tens place and 7 in the ones place .I am greater than 200 but less than 400. what number am I?
In the figure below, line a || line b If m<2=78 degrees which of the following angles also measure 78 degrees select all that apply
Answer:6
Step-by-step explanation:
Angle 2, angle 6, angle 4, and angle 8 have the same measure that is 78 degrees and this can be determined by using the corresponding angle property.
GIven :
In the given figure, line a parallel to line b.Angle 2 = 78 degrees.The following steps can be used in order to determine the other angles whose measure is 78 degrees:
Step 1 - The corresponding angle property is used in order to determine the other angles whose measure is 78 degrees.
Step 2 - According to the given figure, angle 2 and angle 6 are corresponding angles. Therefore, the measure of angle 6 is also 78 degrees.
Step 3 - Angle 8 is the opposite angle of angle 6 therefore, the measure of angle 8 is 78 degrees.
Step 4 - Angle 4 is the opposite angle of angle 2 therefore, the measure of angle 2 is 78 degrees.
Therefore, the correct options are B), D), and F).
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Find three consecutive numbers whose sum shall equal 45.
Answer:
the three consecutive numbers are 14, 15, 16
Answer:
Since the consecutive numbers, so the first one is x, the next one is x+1, and so on....I hope this will help
Step-by-step explanation:
x + (x + 1) + (x + 2) = 45
x + x + 1 + x + 2 = 45
3x + 3 = 45
3x = 42
x = 14
Now that we know x = 14, let's add one to it.
x + 1 = 14 + 1 = 15.
Now we have our middle number, which is 15. You can always check your answer by adding 14 + 15 + 16 = 45. Whoo!
I really need help with this statistical/variable question, i am really struggling and would be super happy if someone could answer
Answer:
Statistic
Step-by-step explanation:
A statistic is a sample of the whole mean like
E.x( how many pink doughnuts are in the dozen pack of doughnuts.
A parameter represent the whole mean
E.x( how many donuts were made at 7:00)
Since they are sampling 25 cars, it is a statistic.
Select the correct answer.
Which statement about inverse matrices is true?
O A.
An inverse matrix is always a square matrix.
O B.
An inverse matrix a is never a square matrix.
The determinant of an inverse matrix is always zero.
O D.
There always exists a square matrix A-1 for which AA-1 = /.
Reset
Next
Options A and D are true for the inverse matrices.
We need to determine which statement about inverse matrices is true.
What is an inverse matrix?The inverse of the matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is [tex]A^{-1}[/tex], and [tex]A.A^{-1}=I[/tex] A = I, where I is the identity matrix. The matrix whose determinant is non-zero and for which the inverse matrix can be calculated is called an invertible matrix.
The matrix should have a non-zero determinant for getting the inverse of it.
An inverse matrix should be a square matrix.
The inverse of the matrix can be calculated by two approaches:
1) Adjoint method
2) Row/Column elementary method
Therefore, options A and D are true for the inverse matrices.
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what is the answer of the file
Answer:
Check pdf
Step-by-step explanation:
plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plzzzz plz pzl pz plz -plz plz HELPP
Answer:
The lines will never intersect.Step-by-step
explanation:
The slope of the cups is the same, 1.5. The y-intercept of the small cups is 6The y-intercept of the big cups is 9. This means that the lines will never intersect because they are parallel lines and have the same slope but different y-intercepts.
I hope this helps :) Please give brainliest! :)
J)
B
с
173"
87"
A
Find the measure of ZC.
-) :
A:
A)
10°
B)
14°
20°
D)
30°
Answer:
I think it's C im not certain
13u+4u-10=7 what does u=?
Answer:
1
Step-by-step explanation:
A rectangular prism has a length of 11ft, a height of 4ft, and a width of
3ft. What is its volume, in cubic ft?
Answer:
132 feet
Step-by-step explanation:
Volume = 11×3×4 = 132 feet
find the area of the composite shape. quickly please
Answer:
4800 1 x 24 x 25 x 8
Step-by-step explanation: 1 x 24 x 25 x 8
if you increase the length on a parallelogram by 4 cm, what happens to the perimeter?
Answer:
It gains 8 cm
Step-by-step explanation:
Answer:
We know that all the sides of a square are equal. Perimeter of a square is 4 times of s side. Perimeter of a square = 4 × length of a side.
Step-by-step explanation:
help guys!!!! pls & tyyyyy
Answer:
I think
A:(2,1)
B:(4,-2)
C:(4,-6)
D:(1,-3)
Stephanie is looking at apartments with 2 of her friends. They want the monthly rent to be no more than $3,999. If the
roommates split the rent evenly among the 3 of them, what is the maximum rent each will pay?
Answer:
The maximum rent each will pay is $1,333.
Step-by-step explanation:
They want the monthly rent to be no more than $3,999.
It will be split evenly between all of them, with each contributing with x.
This means that the maximum rent each will pay is given by:
[tex]3x = 3999[/tex]
[tex]x = \frac{3999}{3}[/tex]
[tex]x = 1333[/tex]
The maximum rent each will pay is $1,333.
Find the area of each figure. Round your answer to the nearest tenth.
8 km
Answer:
110.1
Step-by-step explanation:
Evaluate the following expression when x = 3 and y = 5: x^2 + y^3 2+x
Answer:
139
Step-by-step explanation:
x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3
= 9 + 125 + 5
= 139!
2. Identify the relationship between the angles
given, then write and solve the equation to find
the value for the variable “x”.
Answer:
x is 21. dccxpxpdpdpdpdp
Answer:
Mutual
Step-by-step explanation:
33° +2x-15 =90
2x =90+15-33
2x=72
X=36
Which of the following is false?
A triangle can be drawn
with only one obtuse angle
and two acute angles.
A triangle can be drawn
with 3 acute angles.
A triangle can be drawn
with only one right angle
and two acute angles.
A triangle can be drawn
with 2 obtuse and one acute
angles.
92 = 5y - 13 answerrrrrr NOWWWWWWWWWWWWWWWWWWWWWWWWWWWW
Answer:
the answer is y=21
Step-by-step explanation:
hope this helps:)
Answer:
y=21
Step-by-step explanation:
92 = 5y - 13
92 + 13 = 5y - 13 + 13
105 = 5y
105/5 = 5y/5
21 = y
Hope this helps!
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1. Which of the following is equivalent?
sin Θ cos Θ sec Θ csc Θ
a. 1
b. csc^2Θ
c. tan^2Θ
d. sec^2Θ
2. Which of the following is equivalent?
1/(cot^2Θ) * sec Θ cos Θ
a. 1
b. sec^2Θ
c. tan^2Θ
d. csc^2Θ
3. Which of the following is equivalent?
tan Θ/ cot Θ
a. cos^3Θ
b. tan^2Θ
c. sec^2Θ
d. sin Θ
9514 1404 393
Answer:
A, C, B
Step-by-step explanation:
It is helpful to remember the trig identities ...
sin = 1/csc
cos = 1/sec
tan = 1/cot
__
1. sin(θ)cos(θ)sec(θ)csc(θ) = (sin(θ)csc(θ))(cos(θ)sec(θ)) = (1)(1) = 1 . . . matches A
2. 1/cot²(θ)·sec(θ)cos(θ) = 1/(1/tan²(θ))·(1) = tan²(θ) . . . matches C
3. tan(θ)/cot(θ) = tan(θ)/(1/tan(θ)) = tan²(θ) . . . matches B
Answer:
1.sin Θ cos Θ sec Θ csc Θ
sinocoso×1/coso ×1/sino=1
1. is the required answer
2.1/(cot^2Θ) * sec Θ cos Θ
=sin²o/cos²o×1/coso×coso
=sin²o/cos²o
tan²o is answer
3.tan Θ/ cot Θ
sino/coso/(coso/sino)
sin²o/cos²o
tan²ois answer here o = theta
Mr suresh had 7/9 kg of sugar. He used 1/3 of it. How much sugar did he use?
1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg
He used 7/27 kg of sugar.
i will give you brainliest whoever answers correct first !
Answer:
72.8
Step-by-step explanation:
16 is 8 times 2. 36.4 times 2 would be 72.8
The minimum wage in 2007 was $7.50. The current minimum wage is $13.00. What is the percent of
change? Round your answer to the nearest tenth.
Who can answer this
The is thinking of a number which he calls n. He finds 1/3 of the number and subtracts 5
Answer:
I just did it its 1/3n - 5
Step-by-step explanation: