The solution of the equation is x = -1 ± i√6.
What is solution of an equation?
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given equation is
x² + 2x + 7 = 0
Compare the above equation with ax² + bx + c = 0:
a = 1, b= 2, c = 7.
Now applying quadratic formula x = [-b ± √(b² - 4ac)]/2a:
x = [-2 ± √(2² - 4×1×7)]/(2×1)
x = [-2 ± √(4 - 28)]/(2×1)
x = [-2 ± √(-24)]/2
x = [-2 ± 2i√6]/2
x = -1 ± i√6
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A lawn is shaped like a parallelogram with a base of 30 feet and a height of 12 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass
Answer:
936 dollars
Step-by-step explanation:
I've got the area of the parallelogram and the area is 360 feet.area of parallelogram is equal to based x height then I took the money x the feet then I got 936 dollars hope it helps.
What is the height, x, of the rectangular prism, if the volume is 750 cubic centimeters?
Answer:
6
Step-by-step explanation:
25x5=125
750 divided by 125 =6
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PLEASE HELP. ANYONE.
The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:
V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length
Which formula best represents l in terms of w and V ?
A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3
Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 inches, determine the measure of
Answer:
look at the box did you see it
Answer:
I hope you are wanting the measure of QM
QM = 12.08 in
Step-by-step explanation:
Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:
QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146
QM = √146 = 12.08 in
Is it rational or irrational pls help
Calculate the amount of interest you receive if you invest $30,000 at 4%
for 3 years.
Please help me please
13
Answer:
a
Step-by-step explanation:
That is the only one equipped to this equation
Help please!!!! Emergency
Will give brainiest, if correct!
What is the y-intercept of the line?
0
1
1/2
-2
8 Which numbers from this list are less than -0.94?
15
0.24, -2.23, 97%
6, -25,-0.95
16
F
15
- 2.23, and -0.95
16'
15:
6 -2.23, -2, and
and -0.95
H 0.24,
15
and -0.95
16
J
15
16
0.24, and -2.23
+
Answer:
-0.95, -2, -2.23, -25
Step-by-step explanation:
All you have to do is look at the sign of each number and see whether it's less than -0.94.
which of the following graphs does not represent a function of x?
PLEASE HELP ILL MARK BRAINLY IF CORRECT
Answer:
It's Graph 1 because it passes the Y axis two times
(-2,5) and (5,-4)
What will be the slope of the line passing through these points?
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (3, 1) and (-9, -5).
Help plz
Answer:
y= -2x -8
Step-by-step explanation:
I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.
A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).
Let's find the gradient of the given line.
[tex]\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }[/tex]
Gradient of given line
[tex] = \frac{1 - ( - 5)}{3 - ( - 9)} [/tex]
[tex] = \frac{1 + 5}{3 + 9} [/tex]
[tex] = \frac{6}{12} [/tex]
[tex] = \frac{1}{2} [/tex]
The product of the gradients of 2 perpendicular lines is -1.
(½)(gradient of perpendicular bisector)= -1
Gradient of perpendicular bisector
= -1 ÷(½)
= -1(2)
= -2
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.
[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]
Midpoint of given line
[tex] = ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )[/tex]
[tex] = ( \frac{ - 6}{2} , \frac{ - 4}{2} )[/tex]
[tex] = ( - 3 , - 2)[/tex]
Substituting (-3, -2) into the equation:
-2= -2(-3) +c
-2= 6 +c
c= -2 -6 (-6 on both sides)
c= -8
Thus, the equation of the perpendicular bisector is y= -2x -8.
A statement is shown. "The square root of x is a number that is non-terminating and non-repeating." Select all of the values of x that make the statement true. A:x=1 B: x=8 C: x=25 D: x=81 E: x=125
Answer:
The values of 'x' they make the statement true are;
B; x = 8
E; x = 125
Step-by-step explanation:
The given criteria for 'x' = "The square root of x is a number that is non-terminating and non-repeating"
The terms non-terminating and non-repeating numbers are used to describe the characteristics of the decimal part of numbers
A non-terminating number is a form of decimal number that has an infinite number of digits out of which no part is endlessly repeating. This type of decimals are part of irrational numbers that cannot be presented in a fraction format
From the options, we have;
A: x = 1, √x = √1 = 1 No fraction, 1 ∉ x
B: x = 8, √x = √8 = 2·√2 Is non-repeating, non-terminating, 8 ∈ x
C: x = 25, √x = √25 = 5 No fraction, 25 ∉ x
D; x = 81, √x = √(81) = 9 ∉ x
E; x = 125, √125 = 5·√5 Is non-repeating, non-terminating, 125 ∈ x.
What is the value of this expression?
7 + 4 × (6 − 2)2
Evaluate 1/2y+1/7 when y=1/5 .
Answer:
17/70 ([tex]\frac{17}{70}[/tex])
Expand the expressions below using a rectangular array.
3.52x−5+6y
Answer:
3.52 x − 5 + 6 y = 0
Step-by-step explanation:
SOMEONE HELP ME PLS
Solve for x.
Answer:
X equals 6°.
Step-by-step explanation:
There is a geometry rule that states the outer angle of a triangle's interior angle is equivalent to the sum of the remaining two interior angles of the triangle. Following this rule, you can get that (6x + 8) + (5x + 8) = 82° ⇒ 11x + 16 = 82° ⇒ 11x = 66° ⇒ x = 6°.
what is 200 divided by 3
Answer:
66.6666666667
Step-by-step explanation:
I osnt know how to explain it but that's the answer sorry
The solution of the expression divide 200 by 3 is,
⇒ 66.67
We have to given that,
To divide 200 by 3
We have to divide the number as,
⇒ 200 ÷ 3
3 ) 200 ( 66.6
- 18
------
20
- 18
------
20
- 18
------
2
Therefore, The solution of the expression divide 200 by 3 is,
⇒ 66.67
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Help!! due in 20 mins
Answer:
i believe A is not true .
Step-by-step explanation:Notice how b,c,and d are all similar . pretend the first box is box a and the second box is box b . the answer choices are all similar in the terms like a/b=b/a or b/a=a/b . yet answer A is like a/a=b/b and it makes no sense
Round 2.689 to the nearest tenth
Answer:
2.700
Step-by-step explanation:
You have to see if it is rounding up or down and it is rounding up
Martha went shopping and wants to buy the following items.
A dress for $85.00
A pair of shoes for $62.00
A shirt for $23.00
She has one coupon to use on her purchase.
20% off the total, before tax
If she uses the coupon, what will be her total before tax?
A. $170.00
B. $34.00
C. $150.00
D. $136.00
Answer:
D. 136
Step-by-step explanation:
What is (4×-5)^2 in polynomial form
Answer:
[tex]4x^2-20x+25[/tex]
Step-by-step explanation:
We start with this expression.
[tex](4x - 5)^2[/tex]
When an expression inside parentheses are squared, we have to take two of the expression and multiply them together. To do this, we need to multiply each part of one expression and multiply it with every part in the other expression.
This means that [tex](4x - 5) (4x - 5)[/tex] would become...
[tex](4x)(4x) = 4x^2\\(-5)(4x) = -20x\\(-5) (-5) = 25[/tex]
Now, we simply need to put all of the terms into one expression.
[tex]4x^2-20x+25[/tex]
HELP ME PLEASE! I NEED TO PAST THIS TEST!!!
The data from a survey on the academic degrees earned by students in the United States in 2009 is shown below.
Degree Male
(in thousands) Female
(in thousands) Marginal
Totals
(in thousands)
Associate 298 489 787
Bachelor 685 916 1,601
Master 260 397 657
Professional 47 45 92
Doctorate 32 35 67
Marginal
Totals
(in thousands) 1,322 1,882 3,204
About how many students were awarded a bachelor’s degree in 2009?
A.
916,000
B.
685,000
C.
1,601,000
D.
1,322,000
Answer:
C
Step-by-step explanation:
Answer:
Answer is C
Step-by-step explanation:
I just took the test and I think you might not need this but to anybody else who needs the answer its C for sure 1,601,000.
Find the area of this triangle.
Round to the nearest tenth.
Answer:
42.4 m²
Step-by-step explanation:
The formula for the Area of this triangle = 1/2 absinθ
a = 8m
b = 12m
θ = 62°
The area of the triangle =
1/2 × 8m × 12m × sin 62
= 42.38 m²
Approximately = 42.4 m²
Help me with this please
Answer:
6a is 80 6b120
Step-by-step explanation:
giving brainliest if correct don't answer just for points
Answer:
Step-by-step explanation:
3x2 + 5x-9 = 0
Quadratic formula
A=
B=
C=
Answer:
the answer are
a = 3, b
= 5 and
c = -9
Answer:
The answer is in the photo below! :D
Step-by-step explanation:
Hope this helped!
-LEI
1. NBC: A jacket you like costs $64. You have a coupon for 20% off. How much will you pay for the jacket?
Answer:
$51.2
Step-by-step explanation:
If you subtract 64 to 20% then you end up with $51.2
HEEEELPPPPPPP!!!!!!!
Answer:
true
Step-by-step explanation:
if each of the left has one right its a function if b had 12 and 3 it would not be a function so its a function because b and a has 3.
The circular stone mound in Ireland called Newgrange has a diameter of 250 feet. A passage 62 feet long leads towards the center of the mound.
Find the perpendicular distance x from the end of the passage to either side of the mound. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
it's 125 for the radius and also 125-62 = 63
so 125+63 = 188
188 * 62 = X^2
11656 = X^2
107.96 = x
108.0 = x ( to the nearest tenth )
The perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets
Diameter = 250
To obtain the perpendicular distance, x :
We use the relation : x × x = Length to either side of mound :
Mathematically ;
x × x = 62 ft × (250 - 62)
x² = 62 × 188
x² = 11656 ft²
Take the square root of both sides ;
x = √11656
x = 107.9629 ft
Hence, the perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets
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