Answer:
Step-by-step explanation:
[tex]Step 1: The- equation- of -a- circle- with -center -at- (h,k)- and- a -radius- of- r- is:\\(x-h)^2+(y-k)^2=r^2\\In -this -question ,h=3, k=1 and r=2, so- after- substituting- into- above -formula- we- get:\\(x-3)^2+(y-1)^2=2^2\\(x-3)^2+(y-1)^2 = 4\\ x^2-6x+9+y^2 -2y+1-4=0\\x^2-6x+y^2-2y+6=0[/tex]
What is the equation of the line? Please help asap!!!! First Correct answer will get brainestttt
Answer:
Using the two marked points we see that the slope is -3 and the y-intercept is 1 so the answer is y = -3x + 1.
after a party, you have 2/5 of brownies you made leftover . there are 16 left. how many brownies did you make for the party?
Answer:
b = 40
Step-by-step explanation:
Let b= brownies made
b* 2/5 = brownies left over
b*2/5 = 16
Multiply each side by 5/2
b * 2/5 *5/2 = 16*5/2
b = 40
Answer:
40
Step-by-step explanation:
.4/.4 is 1 so 16/.4 is 40
Is the pattern a net for the three-dimensional figure??????
Answer:
(A)Yes
Step-by-step explanation:
A right triangular prism has five faces.
Two right triangles Three rectanglesWe are to determine if the pattern is a net for the three-dimensional figure.
In the prism, the base has dimension 6m by 7m, this is true of the net.The right triangle has a hypotenuse of 10m, height of 8m and base of 6m. This is also true of the net.Therefore, the pattern is a net for the three-dimensional figure
Find the total surface area of this triangular prism
Answer :
T.S.A = 200 cm²
Dan and Paul share some money in the ratio 11:5.
Dan decides this is unfair so he gives Paul £30 of his share to make the ratio 1:1.
How much did Paul originally have?
Answer:
50 pounds
Step-by-step explanation:
This situation can be expressed as:
11x-30=5x+30
6x-30=30
6x=60
x=10
5x=50
Paul originally had 50 pounds. Hope this helps!
if the point (-3,4) is the vertex point of the curve of aquadratic function f and -5 is aroot of the equation f(x) =0, then what is the other root
Answer:
x = - 1
Step-by-step explanation:
The x- coordinate of the vertex is mid way between the roots of the quadratic.
The difference between x- coordinate of vertex and the given root is
difference = | - 3 - (- 5) | = | - 3 + 5 | = | 2 | = 2
Thus the other root is 2 units to the right of x = - 3, that is
x = - 3 + 2 = - 1
The other root is x = - 1
need helpppp with this one
Answer:
Step-by-step explanation:
brodha,,,
ur answer is
c)) 2sinxcosx
Hi can anyone help me with question 1 and 3
Answer:
hope its helpful to uh
What can you about the value of a if the equation y=ax^2-8 has no solutions? Plz explain!
Answer:
If a is negative or zero there are no real solutions
Step-by-step explanation:
y=ax^2-8
Set equal to zero to find the solution
0 =ax^2-8
Add 8 to each side
8 = ax^2
Divide by a a cannot be zero or we cannot divide by it
8/a = x^2
Take the square root of each side
sqrt(8/a) = sqrt(x^2)
We need 8/a to be positive for it to have real solutions
That means a has to be positive
If a is negative or zero there are no real solutions
Four students are planning a camping trip for Labor Day weekend. They are expecting 8 additional friends to attend. Refer to the information above. The camping trip costs a total of $330.60. Approximately how much is this per person?
Chiko bought 75 shares of stock at $19.58 per share. He received dividends of $73.42 during the year. At the end of the year, his stock was valued at $22.14. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Answer: 1,468.5
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).
Mathematically speaking:
Price per share x number of shares = 19.58 x 75 = $1,468.5
His purchase price was 1,468.5
Feel free to ask for more if needed or if you did not understand something.
Solve the inequality 3(x + 2) > 0.
Answer:
x > -2
Step-by-step explanation:
3(x + 2) > 0
Expand the brackets.
3x + 6 > 0.
Subtract 6 on both sides of the inequality.
3x + 6 - 6 > 0 - 6
3x > -6
Divide 3 into both sides of the inequality.
3x/3 > -6/3
x > -2
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
The answer is a
Step-by-step explanation:
Using point (0,0) and (3,-9)
Slope of the line = -9-0/3-0 = -9/3 = -3
Equation of the line using point (0,0)
y - 0 = -3(x -0)
y= -3x
Hope this helps.
Answer:
y = -3x 2
Step-by-step explanation:
can someone help me?
Any idea? I've tried the relevant theorems and keep getting different answers each time
Answer:
ANgle CAO measure [tex]21^o[/tex]
Step-by-step explanation:
The important procedure here is to work with the three "isosceles" triangles that are formed inside the circle all of them having a common vertex at the center of the circle (point O). Notice that all these three triangles must have two sides equal (therefore be isosceles triangles) because two sides measure exactly the radius of the circle. Have in mind then that these equal sides must oppose equal angles.
1) Triangle COB has two angles which measure [tex]32^o[/tex], due to the fact that they oppose the sides equal to the radius. Then, the third angle of the triangle (the one at the center O must measure:
[tex]180^o-32^o-32^o=116^o[/tex]
2) For triangle AOB, we can find the value at the acute angle [tex]\angle \,A[/tex] (with vertex at point A), considering that it can be obtained by subtracting [tex]53^o[/tex] from [tex]90^o[/tex], since the radius of the circle is always perpendicular to the tangent line at the point where the radius meets the tangent. Then this acute angle must measure:
[tex]90^o-32^o=37^o[/tex]
Now, the other angle opposite to the radius must also measure [tex]37^o[/tex], so we can find the measure of the larger angle in the triangle (that with vertex at point O) by subtracting these two small angles from [tex]180^o[/tex]:
[tex]180^o=37^o-37^o=106^o[/tex]
3) Finally we get to study the third triangle (COA):
We now know the value of the central angle (that with vertex at point O), since it should be equal to the full circle [tex](360^o)[/tex] minus the other two central angles we calculated above:
[tex]360^o-116^o-106^o=138^o[/tex]
so, now we can determine the measure of the addition of the other two small (and equal) angles of the triangle:
[tex]180^o-138^o=42^o[/tex]
Therefore, each of the angles should measure half of this value. that is each of the small acute angles measures [tex]21^o[/tex]
This is therefore the measure of the requested angle CAO.
64^2/3=
a)2
b)16
c)512
Answer:
16
Step-by-step explanation:
Please help I’m completely lost and don’t have any clue what I’m doing
Answer:
D. (-2, -7)
Step-by-step explanation:
I find the easiest way to locate the vertex or x-intercepts is to use a graphing calculator (see below). The vertex is the extreme point on the graph. For this function, it is (-2, -7), choice D.
__
The axis of symmetry of the graph is the vertical line such that every point on the left is a mirror image of the corresponding point on the right. Here, that axis of symmetry is x=-2. (It is shown as a dashed orange line on the graph.)
The location of the axis of symmetry for quadratic ...
y = ax^2 +bx +c
is x = -b/(2a).
For your function,
y = 2x^2 +8x +1
the coefficients are a = 2, b = 8, c = 1. This means the axis of symmetry is ...
x = -b/(2a) = -8/(2(2)) = -2
The vertical line at x=-2 is the axis of symmetry.
The vertex is on the axis of symmetry. Its y-value is found by evaluating the function for x = -2 (the x-value of the axis of symmetry).
y = 2·(-2)^2 +8(-2) +1 = 2·4 -8·2 +1 = 8 -16 +1
y = -7 . . . . at the vertex
So, the (x, y) coordinates of the vertex are (-2, -7).
Answer:
D. (-2, -7)
Step-by-step explanation:
y= 2x²+8x+1
The vertex is max or min of the graph, for the given function it is
x = -b/2a for a>0
so x= - 8/4= -2
for the point of x= -2
y= 2*4 - 16 + 1 = - 7
So vertex is (-2, -7), choice D.
A movie was 3 1/2 hours long if Lilly turned of the movie off 1/4 of the way through how much time did she spend watching
Answer:
7/8 of an hour
Step-by-step explanation:
Answer:
duration of movie = 3 hours 30 minutes
= 180 + 30
= 210 minutes
Lily turned of 1/4 of the way
time she spend watching
= 1/4 × 210
= 52.5 minutes
PLZ HELP ME ☻ [tex]\[\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 2, \quad \frac{yz}{y + z} = 3\][/tex] Solve system of equations
Answer:
[tex]x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12[/tex]
Step-by-step explanation:
Let's re-write the equations in order to get the variables as separated in independent terms as possible \:
First equation:
[tex]\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}[/tex]
Second equation:
[tex]\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}[/tex]
Third equation:
[tex]\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}[/tex]
Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":
[tex]1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}[/tex]
Combine this last expression term by term with the reduced equation 2, and solve for "x" :
[tex]\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}[/tex]
Now we use this value for "x" back in equation 1 to solve for "y":
[tex]1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}[/tex]
And finally we solve for the third unknown "z":
[tex]\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12[/tex]
Rápido y fácil, trigonometría. Urgente porfavor
Answer:
The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Then, for our case we get a starting equation that reads:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]
and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:
[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]
Please help...Simplify 10^-8.
The exponent numerical expression 10⁻⁸ in the simplified form will be 1/10⁸.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The exponent numerical expression is given below.
⇒ 10⁻⁸
We know that a⁻ⁿ = 1/aⁿ. Then the expression is written as,
⇒ 10⁻⁸
⇒ 1 / 10⁸
The exponent numerical expression 10⁻⁸ in the simplified form will be 1/10⁸.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Solve the absolute value equation below. 20-3y=`18
Answer:
y = 2/3, y = 38/3
Step-by-step explanation:
20 -3y = 18
y = 2/3
20 - 3y = -18
y = 38/3
In the figure below, if m∠2=(18x+6)° and m∠3=(21x+18)° then m∠2= ____ .
Answer:
m∠2 = 78°
Step-by-step explanation:
Two lines 'l' and 'm' are parallel and another line 'n' is a transverse.
Since ∠2 and ∠3 are the consecutive interior angles,
Therefore, sum of these angles will be 180°.
m∠2 + m∠3 = 180°
(18x + 6)° + (21x + 18)° = 180°
(18x + 21x) + ( 6 + 18) = 180
39x + 24 = 180
39x = 180 - 24
39x = 156
x = [tex]\frac{156}{39}[/tex]
x = 4
Since, m∠2 = (18x + 6)°
By substituting the value of x = 4,
m∠2 = (18×4) + 6
= 72 + 6
= 78°
Therefore, measure of angle 2 is 78°.
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit? 5n – 300 = 1,500 5n + 300 = 1,500 5n – 200 + 100n = 1,500 5n – 100 – 200n = 1,500
Answer:
(a) 5n -300 = 1500
Step-by-step explanation:
Profit is the difference between revenue and cost.
RevenueThe revenue the fundraiser will generate apparently comes only from ticket sales. At $5 each, the sale of n tickets will result in revenue of 5n dollars.
CostThe cost the team must pay will be the sum of the cost of the DJ and the cost of the decorations. The team's total cost will be ...
200 +100 = 300
ProfitThe profit is the difference between revenue and cost. The team wants that difference to be $1500, so an appropriate equation for the number of tickets to sell is ...
revenue - cost = profit
5n -300 = 1500
Answer:
5n - 300 = 1,500
Step-by-step explanation:
just got it right on edge
Here is a set of data 2.4 1.6 3.2 0.3 1.5 a. calculate the mean b. each new piece of data is now doubled, calculate the new mean c. each new piece of data is now doubled, calculate the new mean
Answer:
a) mean=1,8 b) mean=3.6 c) mean=7.2
Step-by-step explanation:
a) 2.4 +1.6+ 3.2+ 0.3+ 1.5=9
9/5=1.8
b) 4.8+3.2+6.4+0.6+3=18
18/5=3.6
c)9.6+6.4+12.8+1.2+6=36
36/5=7.2
Answer:mean is 1.8
Step-by-step explanation:
Add all up divide by 5
What is the midpoint of the segment shown below? For geometry worksheet!
Answer:
D
Step-by-step explanation:
The y-coordinate will be the average of 5 and -2 which is 3/2. This eliminates options A and B. C doesn't make sense because the x-coordinate (which is -7) of the midpoint can't be larger or smaller than the x-coordinates of the endpoints, so that means that the answer is D.
Can I get some help with this?
Answer:
x = 37 degrees
Step-by-step explanation:
Let the unknown angle be x
So,
Tan x = [tex]\frac{opposite}{Adjacent}[/tex]
Opposite = 3, Adjacent = 4
Tan x = [tex]\frac{3}{4}[/tex]
Tan x = 0.75
x = [tex]tan ^{-1} 0.75[/tex]
x = 37 degrees
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? A. There is no difference between the preferences of students and teachers. B. "Shark" is more popular with students, but "moose" is more popular with teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. D. "Moose" is equally popular with students and teachers.
Answer:
The correct statement is (D).
Step-by-step explanation:
Compute the probabilities for the data provided:
Probability students preferring sharks:
[tex]P(\text{Students preferring sharks})=\frac{90}{95}=0.947[/tex]
Probability teachers preferring sharks:
[tex]P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053[/tex]
Probability students preferring moose:
[tex]P(\text{Students preferring moose})=\frac{10}{20}=0.50[/tex]
Probability teachers preferring moose:
[tex]P(\text{Teachers preferring moose})=\frac{10}{20}=0.50[/tex]
From the above computations it can be concluded that:
Shark is more popular with students.Moose is equally popular with students and teachers.Thus, the correct statement is (D).
Answer: Just did it and the answer is “Shark”...
Step-by-step explanation:
Erik correctly rounds three numbers. One and StartFraction 7 over 29 EndFraction rounds to 1 One and five-sixths rounds to 2 0.16 rounds to 0 Which shows the numbers One and StartFraction 7 over 29 EndFraction, One and five-sixths, and 0.16 in order from greatest to least?30pts
Answer:
From greatest to least
One and five-sixth rounded to 2
One and StartFraction 7 over 29 rounded to 1
0.16 rounded to 0
Step-by-step explanation:
1+7/29=29+7/29
=36/29
=1.24
Approximately
=1
1+5/6=6+5/6
=11/6
=1.83
Approximately
=2
0.16
Approximately =0
From greatest to least
One and five-sixth rounded to 2
One and StartFraction 7 over 29 rounded to 1
0.16 rounded to 0
Hi could any one work out this question
Thx
Answer:
see explanation
Step-by-step explanation:
∠ ABY and ∠ CBY are adjacent and supplementary, thus
x + 25 + 2x + 50 = 180, that is
3x + 75 = 180 ( subtract 75 from both sides )
3x = 105 ( divide both sides by 3 )
x = 35
Thus
∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°
∠ BEF = ∠ CBY ( corresponding angles )
∠ BEF = 120°
Thus AC and DF are parallel lines