Think of the binomial squared as its own squared term.
Since the squared term is isolated, we can take the square root of both sides.
On the left, the square root removes the square and we have x + 7.
On the right, the square root of 81 is ± 9.
*Always use plus or minus when taking square root of both sides*
So we have x + 7 = ± 9.
Now, split things up into two separate equations.
Solving each equation from here, we find that x = -2 or x = 16.
We can write this as {-2, 16}.
The solutions to the equation [tex](x + 7)^2 = 81[/tex] are x = 2 and x = -16.
The correct option is D.
To find the solutions to the equation [tex](x + 7)^2 = 81[/tex] , we can start by taking the square root of both sides of the equation. However, since we have a squared term, we need to consider both the positive and negative square roots.
Taking the square root of both sides, we have:
[tex]x + 7 = \pm \sqrt{81}[/tex]
Simplifying the right side, we get:
x + 7 = ±9
Now, we can solve for x by subtracting 7 from both sides:
x = -7 ± 9
This gives us two possible solutions:
x = -7 + 9 = 2
x = -7 - 9 = -16
Hence, the correct answer is option D: -16 and 2.
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10 times as many as 1 ten is
Answer:
not sure sorry
Step-by-step explanation:
20 POINTS HELP ASAP Which of the following expressions is equivalent to 18 m - 12? 2(-9 m + 6) -1(18 m + 12) 6(3 m - 2) -3(-6 m - 4)
Hey there! I'm happy to help!
The correct answer is 6(3m-2). This is because if you use the distributive property (multiplying outside number by each term in the parentheses) you end up with 18m-12
6(3m)=18m
6(-2)=-12
18m-12
The other answer options don't yield this result.
Have a wonderful day! :D
Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.
Answer:
(10)n =(9915)n
Step-by-step explanation:
An equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power could be as;
(10)n = 10(0.11515).
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
We have to write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.
Therefore, the equation could be as;
(10)n = 10(0.11515)
Hence, An equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power could be as;
(10)n = 10(0.11515).
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What is the answer 6•4+2/2-7
Answer:
18 is the answer
Step-by-step explanation: Solve by multiplication/division first and then addition and/subtraction
Write an expression to represent: Eight more than the product of two and a number xxx.
Answer:
8+2X is the expression of eight more than the product of two and a number
Answer:
2x+8
Step-by-step explanation:
How do you write
write -7 2/3
as a decimal?
Answer:
-7.66
Step-by-step explanation:
divide 2 by 3 to get a decimal.
An open-top box is being designed by cutting a corner piece out of a 16" by 14" piece of metal and folding the sides upwards. The designer wants to maximize the volume of this box. Enter the maximum volume of this box (rounded to the nearest cubic inch). in3
Answer:
The strip of 16 by 14 inches.
Let x be the corner of the square cut
Then the box would have height as x, length 16-2x and width 14-2x
Hence volume =
Use derivative to test to find x for maximum volume
V'(x) =
v"(x) =
Equate first derivative to 0
Solutions are
x= 2.483 and x = 7.517
Practically cutting more than 7 inches is not possible from 14 inches dimention
Hence 2.483 is the side of square and maximum volume
= 247.508
Step-by-step explanation:
Hope this helps!
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7), what would be the coordinates of its image? (-1,7) O (-5,1) O(-9,5) O (-1, 13)
Answer:(-5,1)
Step-by-step explanation:! X= -3 so -3-4= -7, Y= 7 so 7+2=9, So the coordinates will be (-7,9) I hope that I could help you
Tips for Rounding numbers to the ten thousands
Answer:
Focus on the thousands and the ten thousand
Step-by-step explanation:
Focus on the number before the ten thousand value.
Then check whether it is smaller or bigger than 5 .
if it is bigger add 1 to the ten thousand value. if it is smaller do not add anything to the ten thousands.
HOPE IT HELPED
What is the sum of 12 – 5i and –3 + 4i?
–16 + 63i
9 – i
9 – 9i
15 – 9i
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{9 - i}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{12 - 5i + ( - 3 + 4i)}[/tex]
When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expression remains the same. Just remove the parentheses
[tex] \longrightarrow{ \sf{12 - 5i - 3 + 4i}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ 12 - 3 - 5i + 4i}}[/tex]
Subtract 3 from 12
[tex] \longrightarrow{ \sf{9 - 5i + 4i}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{9 - i}}[/tex]
Hope I helped!
Best regards! :D
The sum of the given complex numbers is (9 - i) and this can be determined by using the arithmetic operations and the given data.
Given :
Complex numbers -- (12 - 5i) and (-3 + 4i)
The following steps can be used in order to determine the sum of the given complex numbers:
Step 1 - The arithmetic operations can be used in order to determine the sum of the given complex numbers.
Step 2 - The mathematical expression of the given situation is:
= (12 - 5i) + (-3 + 4i)
Step 3 - Add 12 and -3 in the above expression.
= 9 - 5i + 4i
Step 4 - Add -5i and 4i in the above expression.
= 9 - i
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DIRECTIONS: Each number if 4 less than 3 times the previous number.
Starting with the number 10, build a sequence of 5 numbers.
Answer:
10, 26, 74, 218, 650
Step-by-step explanation:
n * 3 - 4
Answer:
The sequence of 5 terms is: 10, 26, 74, 218, 650
Step-by-step explanation:
By following the instructions, we can build the sequence by doing:
[tex]a_n= 3\,a_{n-1}-4[/tex]
So, using this formula and starting with 10 we get
[tex]a_1=10\\a_2=3\,(10)-4=26\\a_3=3\,(26)-4= 74\\a_4=3\,(74)-4=218\\a_5=3\,(218)-4=650[/tex]
Point B is the midpoint of point C and D. If CB is 14in, what is CD and BD?
Answer:
[tex]BD = 14\ in[/tex]
[tex]CD = 28\ in[/tex]
Step-by-step explanation:
Given
CB = 14in
B as midpoint
Required
Determine CD and BD
Since B is the midpoint, then the two line segments (CB and BD), we have the following relationships:
[tex]CB = BD[/tex]
[tex]CD = CB + BD[/tex]
Reorder the first equation
[tex]BD = CB[/tex]
Substitute 14 for CB
[tex]BD = 14\ in[/tex]
Taking the second equation into consideration
[tex]CD = CB + BD[/tex]
[tex]CD = 14 + 14[/tex]
[tex]CD = 28\ in[/tex]
Which of the following is a quadratic equation that has the roots x = 3 and x = −4?
Answer:
x^2 + x = 12
Step-by-step explanation:
(x - 3)(x + 4) = 0
x^2 + 4x - 3x - 12 = 0
x^2 + x - 12 = 0
x^2 + x = 12
The quadratic equation that has the roots x = 3 and x = −4 will be x²+x-12=0.
Any equation using the formula ax² + bx + c = 0 When x is a variable and a, b, and c are any real values; a quadratic equation is one where a≠0.
It is given that the quadratic equation that has the roots x = 3 and x = −4.
We know that one such equation is provided by x²-(a+b)x+ab=0 if a and b are the roots of a quadratic equation.
x²-(a+b)x+ab=0
Substitute the value of an as 3 and b as -4.
x²-(3-4)x+(3)(-4)=0
x²-(-1)x-12=0
x²+x-12=0
Thus, the obtained quadratic equation will be x²+x-12=0.
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3x-2=2x+6 ayuda porfis
Answer:
x = 8
Step-by-step explanation:
3x - 2 = 2x + 6
3x - 2x - 2 = 2x - 2x + 6
x - 2 = 6
x - 2 + 2 = 6 + 2
x = 8
Answer:
x = 8
Step-by-step explanation:
move 2x to 3x and move -2 to 6
since its across the equal sign, it switches (postive to negative, negative to positive)
3x -2x = x
6 + 2 = 8
x = 8
:)
Solve the given equation for h
B=V/h
Solve the given equation for V
B=V/h
Answer:
Step-by-step explanation:
B = V/h
V/h = B
V = Bh
The null space for the matrix is spanned by the vector:_______
Answer:
True
Step-by-step explanation:
The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.
what is the difference of fractions
Will mark brainliest!!! And 20 points!! Select the correct answer.
What is the range of the function shown on the graph?
Answer:
A.
Step-by-step explanation:
What is the additive inverse of -17 ?
a) -16
b) -71
c) 17
d) 0
Answer:
c)17
Step-by-step explanation:
additive inverse example:Using the same approach, if x is a negative number, then its additive inverse is equal and opposite in sign to it. This means that the additive inverse of a negative number is positive. For instance, if x equals -12, then its additive inverse is y = 12.
solve the literal equation for y
3=5x+6y
Answer:
y=1/2-5x/6
Step-by-step explanation:
Answer:
y=1/2-5x/6
if this is helpful than good job
6th grade math
PLEASE HELP
Is a compound inequality graph combined or separated?
Answer:
.A compound inequality graph is combined!
give the perimeter of each figure as a simplified expression
Answer:
5k² - 7k + 6
Step-by-step explanation:
The perimeter of the figure given = the sum of all sides of the figure.
Perimeter = (k² - 9k + 23) + (k² + k) + (k² + k) + (2k² - 17)
Simply the expression as follows:
Perimeter = k² - 9k + 23 + k² + k + k² + k + 2k² - 17
Combine like terms
Perimeter = k² + k² + k² + 2k² - 9k + k + k + 23 - 17 (like terms are terms with the same degree)
Perimeter = 5k² - 7k + 6
11. Michelle purchased a kids table with a
square top. If the area of the square top is
400 square inches, what is the length of one
of the sides?
A = 400 in 2
Plssssss help me! What is the area of the shaded portion to the nearest hundredth?
Step-by-step explanation:
A1= area of the rectangle
A1= 4yd • 10yd
A1= 40 square yd
A2= area of the part of the circular section
A2= 180°• pi • 4 square yd/360°
A2= 180° • 16yd • pi/ 360°
A2= 16yd•pi/2
A2= 8yd•pi
A2= 25,12yd
A= areo of rhe shaded portion
A= A1-A2
A= 40yd-25,12yd
A= 14,88yd
Answer:
,,,,,,,,lllllllllllll
Step-by-step explanation:
lllllllll,,,,,,,,,,,,,
-1/9 -1/2, 14/9,4/3 midpoints
Answer: (13/18, 1/6)
Step-by-step explanation: (-1/9, -1/2),(14/9, 4/3)
What you want to do is -1/9 + 14/9. Here our answer is 13/9. We then do 13/9 divided by 2 which in equation form is 13/9X1/2 which is 13/18. We want to solve the Y now. In equation form we do: 4/3 - 1/2 which equals 1/6 Therefore, the answer is (13/18, 1/6)
Max sprints forward 10 feet and then stops and sprints
back 15 feet. Use subtraction to explain where Max is.
relative to where he started.
Answer:
10-15= -5
Step-by-step explanation:
max is 5 feet behind from where he started
What value should go in the empty boxes to complete the calculation for finding the product of 0.61 × 0.45? Both numbers are the same; however, only input the number one time in your answer
its 0.106 because I said so
Answer:
.106
Step-by-step explanation:ggrrrr
ILL MARK BRAINLIST !!
Assume that each circle shown below represents one unit. Express the shaded
amount as a single fraction and as a mixed number.
Answer:
3 1/11 as a mixnumber its 3/33
What is the remainder of 16 divided by 4,005
Answer:(4005/16) ÷ 2 = 125.15625
Step-by-step explanation:
