Answer:
x = -6 ± 2sqrt(10)
Step-by-step explanation:
x^2 + 12x+3 = 7
Subtract 3 from each side
x^2 +12x = 4
Take the coefficient of x
12
Divide by 2
12/2 = 6
Square it
6^2 =36
Add this to each side
x^2 +12x +36 = 4+36
(x+6)^2 = 40
Take the square root of each side
sqrt((x+6)^2) =± sqrt(40)
x+6 = ± sqrt(40)
x+6 = ± sqrt(4)sqrt(10)
x+6 =± 2sqrt(10)
Subtract 6 from each side
x+6-6 = -6 ± 2sqrt(10)
x = -6 ± 2sqrt(10)
Answer:
(x + 6)² = 40 → x = ±2√10 - 6
Step-by-step explanation:
x²+12x+3=7 can be solved by completing the square
To do so we must first find the term we are adding to both sides of the equation by using [tex](\frac{b}{2} )^2}[/tex]
In this case, our b is 12, so plugging this into the formula we get [tex](\frac{12}{2} )^{2} =6^{2} =36[/tex]
We first need to subtract the 3 from both sides of the equation to get x²+12x=4
We then can add the 36 to both sides of the equation: x² + 12x + 36 = 4 + 36 → x² +12x + 36 = 40
Now we are able to factor the left side of the equation to get (x + 6)² = 40
To solve for x we need to take the square root of both sides [tex]\sqrt{(x+6)^{2} } =\sqrt{40}[/tex] to get x + 6 = ±2√10
Then we need to subtract 6 from both sides to get x = ±2√10 - 6
If y is 1.5 when x is 3, and y varies directly with x, find y when x is 9.
0.5 4.5 9.5 18
Answer:
4.5
Step-by-step explanation:
9 is 3 times more than 3
4.5 is three times more than 1.5
:)
brainliest? ily
What is the estimated sum when 3,467 and
8.908 are rounded to the nearest thousand and
added
Answer:
about 12,000
Step-by-step explanation:
3,467 is rounded to 3,000
8,908 is rounded to 9,000
Find the exact value of sec30°.
Decimal Form:
1.15470053
…
Step-by-step explanation:
The exact value of sec(30°) is 2√3 / 3.
We have,
To find the exact value of sec(30°), use the trigonometric identity:
sec(θ) = 1 / cos(θ)
Now,
cos(30°) = √3 / 2
Now, substitute this value into the formula for sec(θ):
sec(30°) = 1 / cos(30°) = 1 / (√3 / 2)
sec(30°) = 2 / √3
To rationalize the denominator, multiply the numerator and denominator by √3:
sec(30°) = 2 / √3 * √3 / √3
= 2√3 / 3
Therefore,
The exact value of sec(30°) is 2√3 / 3.
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What is the mean of this
15, 16, 15, 13, 19, 20, 21
what is the answer?
A: 15
B: 16
C: 17
D: 18
Answer; C, 17
Step-by-step explanation: add all the numbers and divide by 7
The height of a cone is twice the radius of its base.
What expression represents the volume of the
cubic units?
2x
х
0 22x3
0 4773
Answer:
Volume = ⅔πr³
Step-by-step explanation:
Given
Shape: Cone
Height = 2 * Radius
Required
An expression for the volume of the cone.
Let h and r represent the height and the radius of the cone, respectively.
So, h = 2r.
So solve this question, we simply write out the formula to calculate the volume of a cone.
Volume = ⅓πr²h
Substitute 2r for h.
Volume = ⅓πr²(2r)
Volume = ⅓πr² * 2r
Volume = ⅔πr³
Hence, the above expression represent the volume of a cone when h = 2r
The expression that represents the volume of the cone in cubic units is: ⅔πr³.
What is the Volume of a Cone?Volume of cone = ⅓πr²h
r is the radius; h is the height of the cone.
Given:
Radius of the cone = rHeight = 2(r) = 2rTherefore, substitute the values into the formula for the volume of a cone:
Volume of cone = ⅓π(r²)(2r)
Volume of cone = ⅔πr³
Therefore, the expression that represents the volume of the cone in cubic units is: ⅔πr³.
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Does anyone know the correct answers??
Answer:
i believe the answers are:
false
true
true
Step-by-step explanation:
it's been a while, so im not exactly sure? but im pretty sure this is right.
Answer:
Same Im pretty sure it is:
False
True
True
Step-by-step explanation:
Question 3 of 10
2 Points
What is the volume of the sphere below?
5
A.
100
3
7 units 3
O
B.
ni units 3
3
C.
125
3
units 3
D.
500
3
7 units 3
Answer:
D
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius ), thus
V = [tex]\frac{4}{3}[/tex]π × 5³
= [tex]\frac{4}{3}[/tex]π × 125 = [tex]\frac{4(125)}{3}[/tex]π = [tex]\frac{500}{3}[/tex]π units³ → D
The volume of the sphere of the given figure is [tex]\frac{500}{3} \pi units^{3}[/tex] .Option D is correct.
It is given that the radius(r) of the sphere is 5 unit.
It is required to find the volume of the sphere of the given figure.
What is the volume of the sphere below?As we know the volume of the sphere is:
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
Where, r represents the radius of the sphere.
Now putting the value of 'r' in the formula,
V = [tex]\frac{4}{3}\pi (5)^{3}[/tex]
V = [tex]\frac{4}{3} \pi[/tex]×(125)
V = [tex]\frac{4 (125)}{3}\pi[/tex]
V = [tex]\frac{500}{3} \pi[/tex] [tex]unit^{3}[/tex]
Thus, the volume of the sphere of the given figure is [tex]\frac{500}{3} \pi units^{3}[/tex] .
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How do I solve 8 (a+c)*6-(4a-8c)÷12 please explain I'm having trouble with this.
And the answer isn't
48(a+c)−3a−2c
Answer:
8(a+c)(6)−(
4a−8c
12
)
=
143
3
a+
146
3
c
Step-by-step explanation:
Answer:
copy it then paste it
Step-by-step explanation:
What is -1 and 3/5 divided by -2/3? As a fraction.
Answer=
mixed form=2 2/5
decimal form=2.4
exact form= 12/5
A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in terms of Pi. Recall the formula S A = 2 pi r squared + 2 pi r h. 1,320 pi feet squared 1,792 pi feet squared 2,080 pi feet squared 2,640 pi feet squared
Answer:
2080
Step-by-step explanation:
The surface area of the cylinder is 2080π square feet. Answer: 2,080 pi feet squared.
What is a cylinder?A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.
The formula for the surface area of a cylinder is:
SA = 2πr² + 2πrh
where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is the mathematical constant pi (approximately equal to 3.14159).
Since the diameter is given as 40 feet, the radius is half of that, or 20 feet.
So, substituting the values into the formula, we get:
SA = 2π(20)² + 2π(20)(32)
SA = 2π(400) + 2π(640)
SA = 800π + 1280π
SA = 2080π
Therefore, SA = 2080π.
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If both pairs of opposite angles of a quadrilateral are supplemental then the quadrilateral is a parallelogram
•True or •False
Answer:
THEOREM: If a quadrilateral has consecutive angles which are supplementary, then it is a parallelogram. BRAINLIEST LOL :)
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
ITS RIGHT MARK ME BRAINLIEST :) :) :) :) ;) ;)
For which equation would x = 8 not be a solution?
a. 8 x = 64
b. 4 x = 48
c. 10 x = 80
d. 9 x = 72
Answer:
b. 4x = 48
Step-by-step explanation:
If you look closely an multiply 4 x 8, it equals 32, not 48
The other equations:
8 x 8 does equal 64
10 x 8 does equal 80
9 x 8 does equal 72
It's pretty simple once you try each problem first
Hope this helps!
Answer:
4x = 48
Step-by-step explanation:
Since x = 8,
4x = 48
4 * 8 = 32
So 32 is the LHS and 48 is the RHS.
Since the LHS is not equal to the RHS, x=8 is not a solution to the equation 4x = 48
Hope this answer is helpful!!
Which ratio would help find the
height of the kite?
200 feet
50°
tan 50
sin 50
COS 50
cot 50
Answer:
Cos 50
Step-by-step explanation:
Please help as soon as you see this......
Simplify the expression..
[tex]4x^{3}[/tex]×[tex]3x^{-5}[/tex]
Answer:
Step-by-step explanation:
(4)(3) = 12
x^3(x^[-5]) = x^(3 - 5) = x^(-2)
12
Combining these in multiplication we get the final answer ------------
x^2
Last Saturday, the average temperature was 8% higher than the average temperature, 2 Sundays ago, the average temperature 2 Sundays ago with T degrees Celsius, which of the following expressions could represent the average temperature last Sunday.
choose 2 answers.
A) 1.8T
B) T+8
C) T+0.08
D) 1.08T
E) (1 + 8/100) T
Answer: 1.08T and (1+8/100)T
Step-by-step explanation:
Given: The average temperature two Sundays ago was T degrees Celsius.
Since, last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago.
⇒ The average temperature last Sunday
Since 8%=0.08
Therefore, The average temperature last Sunday
⇒ The average temperature last Sunday
⇒ The average temperature last Sunday
⇒ The average temperature last Sunday
Thus, the right option is 1.08T and (1+8/100)T
A bus company recorded the ages, in years, of the people on coach A and the people
on coach B.
Here are the ages of the 23 people on coach A.
41 42 44 48 52 53 53 53 56 57 57 59
60 61 63 64 64 66 67 69 74 77 79
(a) Complete the table below to show information about the ages of the people on coach A.
Answer:
Median : 59
Lower quartile : 53
Upper quartile : 66
Least age: 41
Greatest age: 79
Step-by-step explanation:
In a ordered list, the median is the number at the half position. With 23 numbers, the half position the 12th number (there are 11 number above and blow it)
41 42 44 48 52 53 53 53 56 57 57 59 60 61 63 64 64 66 67 69 74 77 79
The lower quartile is the number at the half position, only considering the first data points until the median.
41 42 44 48 52 53 53 53 56 57 57
The upper quartile is the number at the half position, only considering the data points after the median.
60 61 63 64 64 66 67 69 74 77 79
The least and greatest ages are easily found.
Step-by-step explanation:
median = 58
lower quartile = 53
upper quartile = 66
leastest age = 40
greatest age = 82
Solve for X 2( 5.5x+1) =24
Answer:
X=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(5.5x+1)=24
(2)(5.5x)+(2)(1)=24(Distribute)
11x+2=24
Step 2: Subtract 2 from both sides.
11x+2-2=24-2
11x=22
Step 3: Divide both sides by 11.
11x/11=
22/11
X=2
Hope this helps
A faucet leaks water at a constant rate of quart every 15 minutes.
I
How many quarts does the faucet leak per hour?
Answer:
4 quarts per hour.
Step-by-step explanation:
60/15 = 4
The reason why i did 60 is because there is 60 min in a hour. then i divided it by 15 and got 4
hope this helps : )
The required quart that leaks is 4 quart, faucet leak per hours.
A faucet leaks water at constant rate of quat every 15 minutes. How many quarts does the faucet leak per hour to be determined.
Rate of change is defined as the change in value with rest to the time is called rate of change.
1 quart = 60 units
Every 15 minutes, 1 quart has been leaked from the faucet.
1 quart will be leaked fully = 15 minutes
Divide by 15 into both sides
1 / 15 quart will be leak fully = 1 minute
multiply both sides by 60
60 / 15 quart will be leak fully = 60 minute
4 quart will be leaked fully = 1 hour (60 min = 1 hour)
Thus, 4 quarts does the faucet leak per hours.
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40 POINTS!!!!!!!!! Given the following system of equations and their graph below, what can be determined about the slopes and y-intercepts of the system of equations? A line includes points 6 comma 1 and 4 comma 0. 3x − 6y = 12 9x − 18y = 36 The slopes are different, and the y-intercepts are different. The slopes are different, and the y-intercepts are the same. The slopes are the same, and the y-intercepts are different. The slopes are the same, and the y-intercepts are the same.
Answer:
The slopes are the same and the y-intercepts are the same.
Step-by-step explanation:
Looking at the two systems of equations:
3x - 6y = 12
and
9x - 18y = 36
We can see that the two equations have a GCF, that GCF would be 3.
Since, 3 ( 3x - 6y = 12) = 9x - 18y = 36
or vice versa: (9x - 18y = 36)/3 = 3x - 6y = 12
Therefore, both the slopes and the y-intercepts are the same just dilated by a factor of 3.
Answer:
The slopes are the same and the y-intercepts are the same.
Step-by-step explanation:
isaac noticed 15 jeeps and motorcycles in the Walmart parking lot when he went to work . He saw 44 wheels . How many of each did he see ?
steps ?
Answer:
7 cars and 8 motorcycles
Step-by-step explanation:
15 cars and motorcycles total, with 44 wheels total.
cars = 4 wheels
motorcycles = 2 wheels
(7 * 4) + (8 * 2)
(28) + (16) = 44
Hope this helped!
(・∀・(・∀・(・∀・*)
What’s the range of the function fix)=4x+9, given the domain D={-4,-2,0,2}?
Answer:
The range is all real numbers.
Step-by-step explanation:
I graphed the equation on the graph below to find the range. The range is all real numbers because the line never stops and it touches all possible y-values.
If this answer is correct, please make me Brainliest!
A theorem in geometry states that the measure of an inscribed angle is half the measure of it's intercepted arc. In the figure, angle C intercepts arc AB and Line AB is the diameter of the circle. Which equation is a step in showing that m angle C = 90 degrees?
Answer:
c
Step-by-step explanation:
Answer:Awnser choice c
Step-by-step explanation:
A sector with an area of 140 pie cm^2 has a radius of 20 cm.
r = 20 cm
A = 140 pie cm^2
What is the central angle measure of the sector in degrees?
Answer:
Central angle = 126°
Step-by-step explanation:
Area of the sector = 140π cm²
Radius of the given circle = 20 cm
Since area of the sector = [tex]\frac{\theta}{360}\times (\pi r^{2})[/tex]
[where θ is the central angle formed by the sector at the center]
140π = [tex]\frac{\theta}{360}(\pi)(20)^{2}[/tex]
θ = [tex]\frac{(140\pi)\times 360}{400\pi }[/tex]
θ = 126°
Therefore, central angle of the sector will be 126°.
Answer:
cm 32
Step-by-step explanation:
Easy Question About Area
Answer:
Option C.
Step-by-step explanation:
In the figure attached, a triangle has been given with angles.
m∠F = 73°
m∠D = 48°
And m∠E = 180° - (73 + 48)° = 59°
∠D < ∠E < ∠F
Since opposite sides of the largest angle in a triangle is longest and opposite side of the smallest angle is shortest,
Hence, d < e < f
Therefore, order given in Option C will be the answer.
Answer:
d, e, f
Step-by-step explanation:
Hope this helps:)
answer pls 40 points hurry up
Answer:
2
Step-by-step explanation:
You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill.
How much change will you get back?
Answer:
$1.77
Step-by-step explanation:
Add the Movie Ticket and Popcorn together
$5.25 + $2.98
Simplify
$8.23
Subtract the total from your 10 dollar bill
$10 - $8.23
Simplify
$1.77
Answer:
$1.77
Step-by-step explanation:
$5.25 + $2.98 to find the total (I am not including tax, as there is not a mentioned rate) = $8.23
10.00 - 8.23 = 1.77 so, $1.77 is the change.
Can please someone help me??!!!!! Find the area of each triangle (A-D). Show your reasoning please.
Can I Please Get Help
Answer:
C
Step-by-step explanation:
Answer:
D because 45*2
Step-by-step explanation:
Hi I really need help on this question I will give you 30 points if you help me ty stay safe
Answer:
erm
Step-by-step explanation:
4, 5 27
Drag the tiles to the boxes to form correct pairs. Match each function to the equation of the tangent line to its graph at x = 2.
Step-by-step explanation:
the picture includes the answer and work
I plugged in 2 for x
the equations that got the same answer, I put together
Answer:
Step-by-step explanation: