[tex]\\ \rm\rightarrowtail x^2+3\sqrt{3}x+6[/tex]
[tex]\\ \rm\rightarrowtail x^2+\sqrt{3}x+2\sqrt{3}x+6[/tex]
[tex]\\ \rm\rightarrowtail x(x+\sqrt{3})+2\sqrt{3}(x+\sqrt{3})[/tex]
[tex]\\ \rm\rightarrowtail (x+2)(x+2\sqrt{3})[/tex]
Using the quadratic formula,
∆=b²-4ac∆=(3√3)²-4(1)(6)∆=(9×3)-4(6)∆=27-24∆=3[tex]x1 = \frac{ - b - \sqrt{3} }{2a} = \frac{ - 3 \sqrt{3} - \sqrt{3} }{2} = \frac{ - 4 \sqrt[]{3} }{2} [/tex]
[tex]x1 = - 2 \sqrt{3} [/tex]
Similarly,[tex]x 2 = \frac{ - b + \sqrt{3} }{2a} = \frac{ - 3 \sqrt{3} + \sqrt[]{3} }{2} = \frac{ - 2 \sqrt{3} }{2} [/tex]
[tex]x2 = - \sqrt{3} [/tex]
Method 2:x²-Sx+P=0where S is the sum of the roots & P is the product of the roots.x¹+x²= -3√3 x¹x²=6Solving the system you get the same answers.Your factored equation can be written in the form of:
(x-x¹)(x-x²)
(x+2√3)(x+√3)
Find the missing dimension of the cylinder. Round your answer to the nearest while number.
Answer:
10
Step-by-step explanation:
V=pi radius squared so you need to find what height is right?
so take 3.14x6 squared=113.04 and then divide 1131 by 113.04 and you will get your answer of 10
Are the following equations parallel y=1/3x+6 and y=1/3x+12 ?
Answer: yes
Step-by-step explanation:
They run side by side together
As a rule, parallel lines will always have the same slope.
However, they need to also have different y-intercepts.
Since these two lines have the same steepness or slope
and they have different y-intercepts, we say they are parallel.
Find the value of the unknown angle x.
The diagram is not drawn to scale.
Please answer. Thank you!
Answer: the answer is 50
Step-by-step explanation: the sum of angles in a quadrilateral is 360 degrees so add 74 And 146 and the angle is a right angle so it is 90 . So add these numbers and subtract from 360 . It will give 50 . Can you give brainliest
What’s the verbal Expression of W - 24
Answer:
Indicated below
Step-by-step explanation:
Verbal Expressions of Algebraic Expressions
There are several ways to express w-24. I provide you with some of them:
w minus 24w decreased by 24w less 24The difference between w and 2424 less than 2424 subtracted from wSuppose Susan had rented the same number of videos with the same initiation fee, but the cost was instead $0.95 per video that she rented. What would she have paid in total?
Answer:
Step-by-step explanation:
From your question, part A's answer should be t = 12.75 + 0.75v
Part B's calculation is correct.
Part C: Initial fee same at 12.75
Same number of video rented at 124.
Total paid for $0.95 per video is = 12.75 + 124*0.95
= $130.55
Find the area of a circle
Answer:
Area: 19.63 Circumference: 5.71
Step-by-step explanation:
Using formulas and all :)
Area formula: pi (r^2)
Circumference: 2(pi)r
pi (2.5^2)= 19.63
2(pi)2.5= 5.71
hope that helps :D
Sam ran 10 kilometers in 75 minutes. What is Sam’s rate of speed in kilometers per hour?
Answer:
8 km
Step-by-step explanation: giving that
distance=10km
time=75 minutes =75/60 hours
15/12=5/4 hours
speed=disance=10km
time = 5/4hours
=40/5km/hours
=8km/hours
At the corner store, you can buy 10 super-size granola bars for $20. How much does a
single super-size granola bar cost?
Answer:
2 dollars each
Step-by-step explanation:
Answer: $2
Step-by-step explanation: so we know you can buy 10 super size granola bars for $20 so we divide 20/10 and we get $2.
I hope this helps!
The function j(x) = 67x represents the number of jumping jacks j(x) you can do in x minutes. How many
jumping jacks can you do in 15 minutes?
Two wheels mesh together. One gear has 40 teeth and the other one has 25teeth. If the larger wheel makes 60 revolutions per minute, how many revolutions per minute does the smaller wheel make?
quickly help plz
Find the Nth Term: 2, -6, -14, -22.
Thanks.
Answer:
[tex]a_{n}[/tex] = - 8n + 10
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 6 - 2 = - 14 - (- 6) = - 22 - (- 14) = - 8
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = - 8 , then
[tex]a_{n}[/tex] = 2 - 8(n - 1) = 2 - 8n + 8 = - 8n + 10
A regular hexagon is circumscribed about a circle with a radius of 15 feet. Find the area of the shaded region shown.
Answer:
Calculating from a Regular Hexagon with a Given Apothem. Write down the formula for finding the area of a hexagon with a given apothem. The formula is simply Area = 1/2 x perimeter x apothem.
Step-by-step explanation:
Colette went to play miniature golf on Monday, when it cost $14 to rent the club and ball, plus $4 per game. Maddie went Thursday, paying $6 per game, plus rental fees of $2. By coincidence, they played the same number of games for the same total cost. How much did each one spend? How many games did each one play?
Answer:
Each one of them spent $38
Each one of them played 6 games.
Step-by-step explanation:
The number of games be represented by g
Colette went to play miniature golf on Monday, when it cost $14 to rent the club and ball, plus $4 per game.
$14 + $4 × g
= 14 + 4g
Maddie went Thursday, paying $6 per game, plus rental fees of $2.
$2 + $6 × g
= 2 + 6g
The equation is :
14 + 4g = 2 + 6g
We solve for g
Collect like terms
14 - 2 = 6g - 4g
12 = 2g
g = 12/2
g = 6
How many games did each one play?
Each one of them played 6 games.
How much did each one spend?
For Colette
The amount she spent :
14 + 4g
=$14 + 4 × 6
= $14 + 24
= $38
For Maddie
2 + 6g
=$ 2 + 6(6)
=$ 2 + 36
= $38
Find the value of variable
Simplify - 9 - 3 + 7 - 1?
a- 4
b- 5
c- 1
d 5
Answer:
-6
Step-by-step explanation:
- 9 - 3 + 7 - 1 = - 6
I'm still confused on the answer choices but the expression simplified is equal to -6.
Answer:
-9-3+7-1
Step-by-step explanation:
According to order of operations we do this whole thing from left to right!
Solving we get; -9 -3 = -12> -12+7= -5> -5-1 = -6
Lol I got the same answer (ಡ艸ಡ)
a slope of -2 with a point at (3,-5)
Use the Spinner to answer questions
1) In which color, is the pointer more likely to land?
2) In which color, is the pointer less likely to land?
3) In which colors, is the pointer equally likely to land?
4) What is the chance the pointer will land on white?
a) More likely b) less likely c) equally likely d) unlikely
5) Is any color certain?
6) If green is replaced by blue, which colors have equally likely chances?
Answer:
have a nice day
Step-by-step explanation:
1=red
2=green
3=yellow and blue
4=none
5=no
6=red and green
Find the slope for each pair of points. (-2,5), (3,-4)
help plssss
3.089 less than or equal to 3.1
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-5,2), m=2
Answer:
y - 2 = 2(x + 5)
Step-by-step explanation:
Point slope:
y - y₁ = m(x - x₁)
Given P(-5, 2) and slope m = 2:
y - 2 = 2(x - (-5))
y - 2 = 2(x + 5)
Lina has a total of 72 blue and red marbles in a box. The probability of choosing a blue marble at random from the box is 4/9
Find the number of blue marbles added if the probability of choosing a blue marble is 3/5
Answer:
28
Step-by-step explanation:
probability of getting blue ball is 4/9
total cases = 72
i.e number of blue ball 32
number of red vall is 40
so extra 28 is added
Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
Answer:
Its 70 hope that helped
Step-by-step explanation: I did this before
Can anyone solve it please
Answer:
please mark me the brainlist
A six-sided number cube is rolled twice. Which expression can be used to find P(5, then3)?.
A six-sided number cube is rolled twice the expression 1/6 x 1/6 can be used to find P(5, then3). The correct option is D.
What is probability?Probability is a measure of how likely an event is to occur. Many events are impossible to predict with absolute certainty.
The probability of rolling a 5 and then a 3 is independent, so we can find the probability by multiplying the probability of rolling a 5 on the first roll by the probability of rolling a 3 on the second roll.
The probability of rolling a 5 on the first roll is 1/6, and the probability of rolling a 3 on the second roll is also 1/6.
Therefore, the expression that can be used to find P(5, then 3) is: B. 1/6 * 1/6
For more details regarding probability, visit:
https://brainly.com/question/30034780
#SPJ7
Your question seems incomplete, the probable complete question is:
A six-sided number cube is rolled twice, which expression can be used to find P(5, then 3).
A. 1/5*1/3
B. 1/6*1/5
C. 5/6*3/6
D. 1/6*1/6
please help me find the solution of the system shown in the graph!!
Answer:
(2,1.5)
Step-by-step explanation:
I think, by looking at the information given on this question, your just looking to see where the lines intersect (which is at 2, 1.5)
A flat roof rises at a 25° angle
from the front wall of a storage
shed to the back wall. The front
wall is 11. 5 feet tall and the back
wall is 18. 5 feet tall. Find the
length of the roofline and the
depth of the shed from front to
back. Round your answers to the
nearest tenth of a foot.
The length of the roof line is equal to 17.4 feet and the depth of the shed is 15.07 feet.
Given the following data:
Height of front wall = 11.5 feet.Height of back wall = 20.2 feet.Angle of inclination = 25°How to calculate the length of the roofline.First of all, we would assign a variable to the length of the roof line and depth of the shed from front to back respectively.
Let the length of the roof line be h.
Let the depth of the shed be d.
From the image attached, we would determine the length of the opposite side as follows:
[tex]Opp=20.2 -11.5[/tex]
Opposite side = 8.7 feet.
Next, we would determine the length of the roof line by using Sine trigonometric:
[tex]Sin \theta = \frac{Opp}{Hyp} \\\\Sin30 =\frac{8.7}{h} \\\\0.5=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}[/tex]
h = 17.4 feet.
For the depth;
We would determine the length of the roof line by using Tan trigonometric:
[tex]Tan \theta =\frac{Opp}{Adj} \\\\Tan 30 =\frac{8.7}{d} \\\\0.5774=\frac{8.7}{d}\\\\d=\frac{8.7}{0.5774}[/tex]
d = 15.07 feet.
Read more on trigonometry functions here: https://brainly.com/question/4515552
(12.8)2 - (30+0.375)
Answer:
-4.775
Step-by-step explanation:
The diagram shows the dimensions of a school playground. What is the area of the playground?
Answer:
1574yd^2
Step-by-step explanation:
i split into 3, 2 rectangles and a triangle
40 x 30 = 1200
30 - 8 = 22 (height)
60 - 40 = 20 (width)
14 x 22 = 308
20 - 14 = 6 (base of triangle)
formula of triangle = (b x h) / 2
6 x 22 = 132 / 2 = 66
1200 + 66 + 308 = 1574
A mom spent $560 on c clothes for her daughter for school. Write an expression that shows
the cost of one if they are all the same price?
Answer:
560÷c = p (p is price of one btw)
Step-by-step explanation:
The graph shows a school's profit for selling lunches
on pizza day. What is the profit for selling 100
lunches? You must show your work.
Answer:
150
Step-by-step explanation:
the line is straight hence gradient is constant
change in y/change in x=gradient
(45-0)/(65-50)
G=3
lunches is x axis
3=(y-45)/(100-65)
(3x35)=y-45
105=y-45
105+45=y
y=150