Answer:
[tex]x=\frac{3\sqrt{2}-3 }{2}[/tex]
[tex]x=-\frac{3\sqrt{2}-3 }{2}[/tex]
Step-by-step explanation:
Open the brackets first:
[tex]4x^2+9=18-12x[/tex]
Simplify:
[tex]4x^2+12x-9=0[/tex]
It is determined that this can't be factored, so rewrite the equation so you can complete the square.
[tex]x^2+3x=\frac{9}{4}[/tex]
Take the square of 1.5 and add it to both sides:
[tex]x^2 + 3x+ \frac{9}{4} =\frac{9}4} +\frac{9}{4}[/tex]
Factor:
[tex](x+\frac{3}{2})^2=\frac{9}{2}[/tex]
[tex]x+\frac{3}{2} = \frac{3\sqrt{2} }{2 }[/tex]
or [tex]x+\frac{3}{2} =-\frac{3\sqrt{2} }{2}[/tex]
So [tex]x=\frac{3\sqrt{2}-3 }{2}[/tex]
or [tex]x=-\frac{3\sqrt{2}-3 }{2}[/tex]
Use the unit circle to find the following values.
1. sin 150
2. tan 315
3. cot 11pi/6
4. cos 2pi/3
Please help thank you
can anybody answer this pls.
Answer:
Pls attach an image
Step-by-step explanation:
Press the paperclip and attach an image
Hope this helps!!!
what is the sum of 9/16 and 5/16?
Answer:
7/8
Step-by-step explanation:
sum = answer to an addition problem
This means we need to add.
To add fractions with like denominators, simply add the numerators, or the numbers above the fraction sign.
9/15 + 5/16
9 + 5 = 14
numerator = 14
Keep the denominator:
denominator = 16
14/16
Simplify:
(divide the numerator and denominator by 2)
14/2 = 7
16/2 = 8
7/8
Therefore, the sum is 7/8.
The sum of the two fractions shown of 9/16 and 5/16 is 7/8.
When adding fractions, if they have the same denominator, you can simply add up the numerators and keep the denominator.
This means that the sum of 9/16 and 5/16 is:
= (9 + 5) / 16
= 14 / 16
You then need to take this to its simplest form by dividing both the numerator and denominator by their highest common factor which is 2.
= (14 ÷ 2 ) / (16 ÷ 2)
= 7 / 8
In conclusion, the sum of these fractions is 7/8.
Find out more at https://brainly.com/question/22243648.
Ian needs to replace two concrete sections in his sidewalk, as modeled below. Each section is 36 inches by
36 inches and 4 inches deep. He can mix his own concrete for $3.25 per cubic foot. How much money will it cost Ian to replace the two concrete sections?
Answer: $19.5
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a rectangular prism = width x length x height
Replacing with the values given:
Since 1= 1/12 foot
36 in /12 = 3 foot (length and wifth)
4 in /12 = 1/3 foot (height)
V = 3 x 3 x 1/3 = 3ft3
Next, we multiply it by 2 (since there are 2 sections):
3 x 2 = 6 ft3
Finally we multiply it by the cost of each cubic foot:
6 x 3.25 = $19.5
Feel free to ask for more if needed or if you did not understand something.
Figure b is a scale image of figure a as shown:enter the scale factor applied to figure a to produce figure b
Answer:
figure B is a scale 3:1 image of figure A
Step-by-step explanation:
9/3=3
15/5=3
12/4=3
scale 3:1
Hence triangle is scaled by multiple of 3.
What is scaled image ?When we talk of two triangles ABC and DEF, they are said to be scaled if both they follow [tex]\frac{A}{D}= \frac{B}{E} =\frac{C}{F}[/tex] where all sides have same common difference.
How to solve?Let triangles with sides 12,15,9 be ABC and triangle with sides 4,5,3 be DEF.
Now A/D=12/4=3
similarly B/E=15/5=3
and C/F=9/3=3
Hence , triangle is scaled by multiple of 3.
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2xyx + 3z - z when x = -1 and y = -2 and z = 3
Brainiest please
Answer:
2
Step-by-step explanation:
2(-1)(-2)(-1)+3(3)-3= 2
Hope this helps you
can someone please help me with this I'm struggling.
Answer:
x= 6°
Step-by-step explanation:
∠DEF +∠EFD= ∠EDG
(ext. ∠= sum of int. opp ∠s)
9x +7° +70°= 21x +5°
21x -9x = 77° -5° (bring x terms to one side)
12x= 72° (simplify)
x= 72° ÷12
x= 6° (simplify)
4)
Express in simplest form:
Is this right if not correct answer plzzz
Answer:
± 14.
Step-by-step explanation:
If we plug √196 into the calculator, we get 14.
However, every square contains a negative square root as well since multiplying two negative numbers together results in a positive number.
Therefore:
Both 14 × 14 and -14 × -14 are equal to 196.
I need to find AB. The options are
A. 25m
B. 64m
C. 32m
D. 30m
for me the answer to that is c
IM GIVING 20 POINTS. help me please. it would be very helpful
Answer:
14.14 ft
Step-by-step explanation:
In an isosceles triangle, the altitude and median is same. So the height divides the base AB equally such that AD = DB = 10, if the height is CD. So using Pythagoras theorem, we can find the hypotenuse AC in triangle ADC.
h² = b² + a²
AC² = AD² + CD²
AC² = 10² + 10²
AC² = 100 + 100
AC² = 200
AC = √200
AC ≈ 14.14 ft
Hope this answer helps you!!
Please mark me as the brainliest!!
1. Kaly can select from 5 types of candies and 4 types of chocolates . If she randomly selects 1 chocolate and 1 candy, how many possible options does she have?
Kaly has a total of [a] possibilities.
2. Ana is having dinner with her parents at Bellini in Weston that serves 5 kinds of pasta (penne, rigattoni, angel hair, cannelloni, and tortellini) in 4 different flavors (four cheese, pesto, pink sauce, and bolognese). If Ana randomly picks one kind of pasta and flavor, what is the probability that Ana ends up with rigattoni, pink sauce, or both? Enter your answer as a simplified fraction. Use / to write your fraction.
The probability is [a]
3. Kyle has 3 pairs of pants, 4 pairs of shoes, and 5 shirts. How many attire can Kyle make consisting of 1 pair of pants, 1 shirt, and 1 pair of shoes? Group of answer choices
60
20
12
30
Answer:
20..... 1/10
Step-by-step explanation:4x5 equals twenty
2/20 divided by 2 is 1/10
Please help i think i know the answer but im not sure
Answer:
A. 15 sq in
Step-by-step explanation:
So it wants to know the area of the yellow face: we have to subtract that chunk cut out of the bottom right from the larger rectangle.
Area = length x width = 4*4 = 16 sq in. This is the area of the larger rectangle.
Area = length x width = 1*1 = 1 sq in. This is the area of the rectangle that's cut out of the yellow area.
16 - 1 = 15 sq in
Answer: i feel like it's 15 length x width x height 4, 8, 12+3=15
Step-by-step explanation:
rachel's rectangle has either 2 pairs of dides the same length or all sides the same length? true or false
Answer:
false
Step-by-step explanation:
Answer:
It is false
Hope this helps :)
Please mark me brainliest
Please, I need this right
Answer:
x = 58
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
114 = 56+x
Subtract 56 from each side
114 -56 = x
58 = x
Of the 20 plants in Melissa's
vegetable garden, 7 are herbs.
What percent of the plants in
Melissa's garden are herbs?
Answer:
35 % are herbs
Step-by-step explanation:
7 = 35
20 = 100
Old McDonald had a farm. In one pen the old farmer had chickens and bulls together. In that pen there were 40 animals in total, but there were 130 legs. Can you figure out how many chickens and bulls are in that pen?
Answer:
There are 15 numbers of chicken and 25 numbers of bulls.
Step-by-step explanation:
The pen had chickens and bulls. The pen contains 40 animals in total. The number of legs in the pen is 130 .
Let
a = number of chicken
b = number of bull
a + b = 40................(i)
A chicken has 2 legs and a bull has 4 legs.
The total legs can be represented as
2a + 4b = 130...........(ii)
combine the equation
a + b = 40................(i)
2a + 4b = 130...........(ii)
a = 40 - b
insert the value of a in equation(ii)
2(40 - b) + 4b = 130
80 - 2b + 4b = 130
80 + 2b = 130
2b = 130 - 80
2b = 50
divide both sides by 2
b = 50/2
b = 25
Insert the value of b in equation (i)
a + b = 40
a + 25 = 40
a = 40 - 25
a = 15
There are 15 numbers of chicken and 25 numbers of bulls.
which quadrilateral has equal diagonals
A.parallelogram
B.rhombus
C.trapezoid
D.rectangle
E.none
Answer: D
Step-by-step explanation:
All of it’s angles are equal
Answer: A:Parrallelogram
Step-by-step explanation:
the table shows the time 50 students spent on their homework.
time (t) in minuets frequency
0 ≤ t < 30 /7
30 ≤ t < 60 / 27
60 ≤ t < 90 / 12
90 ≤ t < 120 /4
work out an estimate for the mean time the students spent on their home work.
Answer: Mean = 52.8 mins
Step-by-step explanation:
We have lapses of 30 minutes, so we can write the average for each, this means that:
0 < t < 30 can be averaged to the middle of the range: 15 min.
Doing this, we have that:
7 students 15 min
27 students 45 min
12 students 75 min
4 students 105 min.
Now we can calculate the mean:
mean = (x1*n1 + x2*n2 + ...)/N
where x1 is the amount of time 1, and n1 is the number of students associated to that time and so on. N is the total number of students
Mean = (7*15min + 27*45min + 12*75min + 4*105min)/(7 + 27 + 12 + 4)
Mean = 52.8 mins
Please help me with ALL of them?!
Answer:
D , H, A, I
Step-by-step explanation:
These are approximates, don't take this to heart.
Which statement is true regarding the parallel and
perpendicular lines in the diagram?
Ok || n and w
m
Ok | nand n
Im
Ο ω
n and n
IL
m
1
Ow || n and w
1
m
Answer:
the first one
Step-by-step explanation:
The correct option is B, k || n and n ⊥ m statement is true regarding the parallel and perpendicular lines in the diagram.
What is coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.
Parallel lines are lines in a plane that are always the same distance apart.
The perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees
When the distance between the lines is constant then the lines are called parallel lines.
The lines do not intersect when they are separated from each other. And the slope of the lines is equal.
In the graph, the line k is parallel to the line n and the line n is perpendicular to line n.
k || n and n ⊥ m.
Hence, the correct option is B, k || n and n ⊥ m statement is true regarding the parallel and perpendicular lines in the diagram.
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A perimeter increased by four is twenty eight.
(As an equation)
Answer:
P+4=28, meaning that the original perimeter was 24
Step-by-step explanation:
Let's call the perimeter P.
Converting the words into an equation, you get:
P+4=28
Now, you can subtract 4 from both sides:
P+4-4=28-4
P=24
Hope this helps!
Solve this please with an explanation of process your finding the values of x and y
Congruent sides, so isosceles triangle. When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D. So x=ADB=90 degrees.
Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.
y = 90 - 47 = 43
Answer: x=90, y=43
A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 3 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for 1.
The area of the sidewalk is m?.
(Round to the nearest whole number as needed.)
Answer:
424
Step-by-step explanation:
pie r squared is area of a circle
21(squared)x3.14=1385
minus this from 24squaredx3.14 =1809
1385-1809=424
The area of the sidewalk is 226.08 m²
What is an area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
The space enclosed by the boundary of a plane figure is called its area.
The area of a figure is the number of unit squares that cover the surface of a closed figure.
Area is measured in square units like cm² and m².
Given that, a circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 3 m wide. We need to find the area of the sidewalk.
To find the same, we will subtract the area of the inner circular region from the outer circular region,
The radius of the outer circular region = 21/2+3 = 10.5+3 = 13.5 m
The area of the sidewalk = πR²-πr², where R = radius of outer region and r = radius of inner region
= 3.14(13.5²-10.5²)
= 3.14 x 72
= 226.08 m²
Hence, the area of the sidewalk is 226.08 m²
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-4x - 9y = 26
8x +9y = -34
Add to eliminate y.
Subtract to eliminate y.
Add to eliminate x.
Subtract to eliminate x.
Answer:
add to eliminate y
Step-by-step explanation:
Because the one y is negative, you would add it to the positive y to eliminate both. A positive plus a negative is the same as subtracting from the positive number.
ex: [tex]10+-5=5[/tex] because [tex]10-5=5[/tex]
hope this makes sense :)
Answer:
Add to eliminate y
Step-by-step explanation:
This is because you'll want to add
-4x -9y = 26
8x +9y = -34
to get rid/eliminate the y
The reason why it's not subtract it because the it'll become
-4x-9y=26
-8x-9y=34
which makes the y-values not the reciprocal of each other and you wouldn't be able to eliminate the y.
And it's neither of the add or subtract to eliminate x because the numbers need to be the same numbers and reciprocal of each other
ex:
4 and -4
or
8 and -8
or
-10 and 10
The Wall climbing gym charges a yearly membership fee of $50 plus $1.99 for every visit to the gym. The Don't Fall climbing gym has no membership fee and charges $3.99 per visit to their gym. Which of the following is the correct equation to find the number of visits, so the costs will be the same?
Answer:
Is there multiple choice?
Step-by-step explanation:
Answer:
50+1.99*v=3.99*v= 13 visits
Step-by-step explanation:
The first gym has 50 subrsiption but one visit cost 1.99 while the other cost 3.99 per visit with 13 visits it cost around the same as the 51.99
Please help box and whisker plot
Answer:
50%
Step-by-step explanation:
For each line it represents 25% so half of the data is on the opposite side of 60.
If 2a=3b and 4a+b=21, then b =
Answer:
b=3
Step-by-step explanation:
2a=3b and 4a+b=21,
Multiply the first equation by 2
2(2a) = 2*3b
4a = 6b
Substitute this into the second equation
4a+b = 21
Replace 4a with 6b
6b+b = 21
Combine like terms
7b = 21
Divide each side by 7
7b/7 = 21/7
b = 3
Which equation represents a function?
A) x = 4y + 7
B) y2 = -5x - 8
C) x2 + y2 = 16
D) y = ±2x + 3
Answer:
d y = 2x+3
Step-by-step explanation:
Answer:
D
Step-by-step explanation: