Answer:
Center: (8, -4)
Radius: 2√3
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Pre-Calculus
Circle Center-Radius Equation: (x - h)² + (y - k)² = r²
(h, k) is centerr is radiusStep-by-step explanation:
Step 1: Define
Identify
(x - 8)² + (y + 4)² = 12
(h, k) = (8, -4)
r² = 12 → r = √12 = 2√3
Which expression is equal to 2sin(pi/10)cos(pi/10)?
Answer:
sin pi/5,
Step-by-step explanation:
Which of the following equations would be the result of using completing the square to solve the equation 3x 2 + 11x - 4 = 0?
Answer:
Answer:(x+11/6)^2 = 169/36
Step-by-step explanation:
3x^2 + 11x - 4 = 0
x^2 + (11/3)x = 4/3
(x+11/6)^2 = 169/36
Step-by-step explanation:
What is the volume, in cubic inches, of a basketball with a diameter of 9 inches?
A.121.5π
B.273.4π
C.324π
D.972π
Answer:
the answer is c
C.324πwhich of the following is equivalent to (i+3)+i(2i-4)
a. -5i + 1
b. -3i + 1
c. i-3
d. -i + 3
Answer:
answer is b
Step-by-step explanation:
i+3 -2 -4i = 1-3i
The expression that is equivalent to (i+3)+i(2i-4) is -3i + 1
Option B is correct
The given expression is:
(i+3)+i(2i-4)
Open the parenthesis by expanding the expression using the distributive rule
i + 3 + 2i² - 4i
Note that i² = -1
The expression, therefore, becomes:
i + 3 + 2(-1) - 4i
i + 3 - 2 - 4i
Collect like terms by bring the real parts together and the imaginary parts together
i - 4i + 3 - 2
Simplify to get the final expression
-3i + 1
Therefore, the expression that is equivalent to (i+3)+i(2i-4) is -3i + 1
Learn more here: https://brainly.com/question/12375854
Fill in the missing numbers : )
The Missing numbers are :
[tex] \boxed{1.9}[/tex][tex] \boxed{3.4}[/tex]Solution :Each term in the pattern is formed by the successive addition of " 0.5 " in the previous term.
therefore, the sequence will be like :
[tex] \hookrightarrow1.9, \: 2.4, \: 2.9, \: 3.4, \: 3.9, \: 4.4[/tex]
And, missing terms are :
1.9 and 3.4 respectively
[tex] \mathfrak{hope \: it \: helps \: you.....}[/tex]
The angle of elevation to a nearby tree from a point on the ground is measured to be
31°. How tall is the tree if the point on the ground is 62 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.
Answer:
37.3 ft
Step-by-step explanation:
tan A = opp/adj
tan 31° = x/62
x = 62 * tan 31°
x = 37.3 ft
The height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Trigonometric ratios are used to demonstrate the connection between the sides and angles of a right-angled triangle.
Let h denote the tree if the point on the ground is 62 feet from the tree.
The angle of elevation = 31°. Hence:
tan 31° = h/62
h = 62 × tan 31°
h = 37.25 ft
Thus, the height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.
Learn more about the right triangle here:
https://brainly.com/question/11899922
#SPJ6
A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?
Answer: the length of the base is 15 kilometers.
Step-by-step explanation:
formula : Area of parrallelogram = Length of base x height
Given: Area of parallelogram = 300 square kilometers
height = 20 kilometers
Substituting values in the formula , we get
300 = Length of base x 20
Length of base = [tex]\frac{300}{20}[/tex]
= 15 kilometers
Hence, the length of the base is 15 kilometers.
somebody help me out asap
Answer:
the first one doesn't represent function
Step-by-step explanation:
in the domain, x can only be once.
What's the surface area of the pyramid?
The Answer is C 226.8 ft
I remember doing this not to long ago
What is the solution of the equation x2 − 2x + 4 = 0?
Answer:
No real solution
Step-by-step explanation:
This leads to a square root of a negative number, which is not possible without imaginary numbers
What is 100 ÷ 5 × 4 + 43
A. 69
B. 144
C. 0.3
D. 1.2
Answer:
123
Step-by-step explanation:
100 ÷ 5 x 4 + 43
20 x 4 + 43
80 + 43
123
Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?
Answer:
18 T-shirts
Step-by-step explanation:
$4×18= $72 $72+$34=$106
In
Δ
ABC, BC = a = 16, AC = b = 10, and m
∠
C
= 22°. Which equation can you use to find the value of c = AB?
Answer:
7.7
Step-by-step explanation:
use law of cosines
c² = a² + b² - 2ab * cosC
c² = 16² + 10² - 2(16)(10)cos22
c² = 256 + 100 - 320 * 0.927183854566787
c² = 59.3011665386
c ≈ 7.7
Answer:
You can use the Law of Cosines to solve for c:
c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°.
Step-by-step explanation:
plato!!
Oof, I'm to tired to remember how to do this T-T
Can anyone help asap? This is timed. Brainliest for best answer!!
Answer:
D
Step-by-step explanation:
Equation of the line
y - y1 = m(x - x1)
y - (-4) = 1/3 (x - 3)
y + 4 = 1/3x - 1
y = 1/3 x - 5
the graph that intercept y axis in -5 is the graph D
Answer:
i can't remember how to do this rn because its like 2:30am
C seems like most accurate answer, if this is wrong im really sorry :C
Step-by-step explanation:
Cylinder A has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648π. What is the percent change in volume between cylinders A and B? (5 points)
Question 6 options:
1)
Cylinder B is 50% smaller than cylinder A.
2)
Cylinder B is 25% smaller than cylinder A.
3)
Cylinder B is 150% bigger than cylinder A.
4)
Cylinder B is 200% bigger than cylinder A.
Answer: 2) Cylinder B is 25% smaller than cylinder
The equation of a line is 5x + 10y = 15
Answer:
c
Step-by-step explanation:
I don't think I understand this one try graphs n diagram
Solve for all values of x by factoring x² + 6x = 0
Answer:
Solution given;
x² + 6x = 0
taking x common
x(x+6)=0
either
x=0
or
x+6=0
x=-6
:.x=0 or -6.
Answer:
0 and -6
Step-by-step explanation:
Factor and find the zeros of the equation or graph the line to find the x-intercepts.
What is the constant rate of change shown in the table?
A. 5 mph
B. 1.5 mph
C. 15 mph
D. 1/5
a
0*5 =0
1*5=5
2*5=10
3*5=15
Solve by elimination
-6x+y= -2
-3x-6y= 12
Answer:
Ans: x=0
y= -2
Step-by-step explanation:
-6x+y= -2--------- (1) × 6
-3x-6y= 12--------(2) × 1
-36x+6y= -12-----(3)
-3x-6y= 12--------(2)
(3)+(2)
-36x+6y+(-3x-6y) = -12+12
⇒ -36x+6y-3x-6y = 0
⇒ -36x-3x = 0
⇒ -39x=0
⇒ x= 0/-39
∴ x = 0
Substitute x = 0 into (1)
-6x+y= -2
⇒-6(0)+y= -2
⇒0+y= -2
∴y = -2
Ans: x = 0
y = -2
Check:
-6x+y= -2--------- (1)
= -6(0)+(-2)
= 0 - 2
= -2 ✔
-3x-6y= 12--------(2)
= -3(0)-6(-2)
= 0+12
= 12 ✔
Enriques bathroom measures 6 ft. Long by 5 ft. Wide His shower is 3 feet square The title he wants to buy for the floor is sold in square feet. What is the area of the floor that he has to title
Answer:
Area of the floor is 30 square ft.
Step-by-step explanation:
Length of the floor, L = 6 ft
width of the floor, W = 5 ft
The floor is in the shape of rectangle.
The area of the rectangle is
A = Length x width
So, the area of the floor is
A = L x W
A = 6 x 5
A = 30 ft^2
25 POINTS Find the slope of the line khan academy
Answer:
-8/5
Step-by-step explanation:
Using the points given ( -1,4) and (4,-4)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 -4)/(4- -1)
= (-4 -4)/(4+1)
= -8/5
pls help me answer this question and plsss do not send link
QUESTION:
The angled of a triangle are (x-40), (x-20), (1/2- 10), find x
Answer:
x=124.75
Step-by-step explanation:
Sum of angles of a triangle=180°
(x-40)+(x-20)+(1/2- 10)=180°
(x-40)+(x-20)+(−9.5)=180°
x-40+x-20−9.5=180°
x+x-40-20-9.5=180°
2x−69.5=180°
2x=180°+69.5
2x=249.5
2x/2=249.5/2
x=124.75
Circle D is shown. Angles F A E, F D E, and F B E intercept arc F E. ∠FAE measures 72°. What other angle must measure 72°? ∠BFD ∠DEA ∠EDF ∠FBE
Answer:
Option D, ∠FBE
Step-by-step explanation:
The image for the question is attached herewith
Solution
As per the property of arc, angles subtended by the same arc (chord) on the circumference of a circle have equal measures.
∠FAE is an angle subtended by the arc FE that touches the circle at point 'A'.
∠FBE is also subtended by the arc FE at the point 'B'.
Therefore, we must have
m∠FAE = m∠FBE.
Since, m∠FAE = 72°, so m∠FBE = 72°.
Hence, option D, ∠FBE
Answer:
Its D
Step-by-step explanation:
Give him brainlest.
Erica took out a loan to buy her new motorcycle. The purchase price of the motorcycle was $11349.00 plus 5% GST and 7% PST. She pays $409.00 per month on her loan, which has a term of 3 years. How much more is she paying than the purchase price? a. $2415.74 b. $1610.50 c. $2254.69 d. $2013.12
Answer:
The correct answer is D. $2,013.12.
Step-by-step explanation:
Since Erica took out a loan to buy her new motorcycle, and the purchase price of the motorcycle was $ 11349.00 plus 5% GST and 7% PST, and she pays $ 409.00 per month on her loan, which has a term of 3 years, for To determine how much more is she paying than the purchase price, the following calculation must be performed:
11,349 + (11349 x 0.12) = X
11,349 + 1,361.88 = X
12,710.88 = X
409 x 12 x 3 = X
4,908 x 3 = X
14.724 = X
14,724 - 12,710.88 = X
2,013.12 = X
Therefore, Erica is paying $ 2,013.12 more than the purchase price.
Last math question please help thank you
Step-by-step explanation:
QR= 1.5 inches
TS= 2 inches
TP= 3.8 inches
RS= 1.4 inches
PQ= 2.6 inches
now complete ur promise
Answer:
Step-by-step explanation:
Remark
The question says to increase the lengths of each side by a factor of 1.5.
That means that every measurement we see on the diagram is multiplied by 1.5
QR = given length times 1.5
given length = 1.5
QR = 1.5 * 1.5
QR = 2.25
TS = given length * 1.5
TS = 2 * 1.5
TS = 3
TP = given length * 1.5
TP given = 3.8
TP = 3.8 * 1.5
TP = 5.7
RS = given length * 1.5
given length = 1.4
RS = 1.4 * 1.5
RS = 2,1
PQ = given length * 1.5
given length = 2.6
PQ = 2.6 * 1.5
PQ = 3.9
a box in the shape of a rectangular prism has the dimensions shown. what length of the interior diagonal of the box? round to the nearest tenth.
100 cm
80 cm
60 cm
Answer:
where is the diagram
pls correct
Em uma competição esportiva uma equipe ganhou 80 medalhas sendo que 25% de ouro 35% de prata e o restante de blusa e qual o número de medalhas de bronze que essa equipe ganhou
Answer:
32 medals
Step-by-step explanation:
Given that
The team wons 80 medals
out of which 25% is gold
35% is silver
and rest is bronze
we need to find out the number of bronze medals that win by the team
The total percentage is 100
So, the remaining percentage is
= 100 - 25 - 35
= 40%
So, the number of bronze medal should be
= 40% of 80 medals
= 32 medals
in which graph does the slope of the line l lequal zero
Answer:
wait can you make the same question with a picture or you don't have any pictures that comes with the problem?
Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.
Q(1,5), R(3,8), S(5,5), T(3,2)
Help ASAP
There are 120 students in class 7. It is known that
2/3
out of them like Maths, out of which 35
are girls. Also, out of total students,
3/5
are boys. (3)
(a) What is the number of girls in the class?
(b) How many students like Maths?
(c) How many boys like Maths?
Multiply total students by 2/3 to find how many like math:
Like math = 120 x 2/3 = 240/3 = 80 total students like math
Multiply total students by 3/5 to find number of boys:
120 x 3/5 = 360/5 = 72 boys
A) number of girls = total students - boys = 120 -72 = 48 girls
B) from above 80 students like math
C) number of boys that like math = number of students that like math minus girls that like math: 80- 35 = 35 boys like math