Answer:
(x-8)^2+(y-16)^2 = 4
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2+(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-8)^2+(y-16)^2 = 2^2
(x-8)^2+(y-16)^2 = 4
f(x)= |3x+4| + 2
g(x)= 4
find (f + g) (x)
Answer:g∘f(x)=g(f(x))=g(−3x+4)=(−3x+4)2. In x=−2 we have g∘f(−2)=(−2⋅−3+4)2=102=100.
Step-by-step explanation:
yuhhh babyyyy
what is the answer to this polynomial (5x-2)^2?
Answer:
Answer and Explanation: Given polynomial expression is: (5x2+3x−5)−(x2 −6x−4) ( 5 x 2 + 3 x − 5) − ( x 2 − 6 x − 4).
Step-by-step explanation:
Answer:
25x^2 -20x +4
Step-by-step explanation:
(5x-2)^2
FOIL
(5x-2)(5x-2)
25x^2 -10x -10x +4
25x^2 -20x +4
the market price of an article is 150000 it is sold while going to 15% discount and made by profit 1500 find the cost price of motorcycle
Answer:
126,000
Step-by-step explanation:
150,000 * .15 = 22,500
150,000 - 22,500= 127,000
127,000 - 1500 = 126,000
In a pet shop, there are 6 kittens. Three kittens will be donated to a nursing home.
How many different 3-kitten groups are possible?
A.60
B.20
C.120
D.18
Answer:
20
Step-by-step explanation:
There are 6 ways to choose the first kitten, 5 ways the second, 4 ways the third
6*5*4
But order doesn't matter
Divide by the number of items factorial
3! = 3*2*1 = 6
6*5*4
--------
6
20
There are 6 red socks and 8 black
socks in a drawer. Without looking,
you pick out 2 socks to wear. What
is the probability of picking red, black?
a. 15/91
b. 14/27
c. 24/91
Answer:
24/91
Step-by-step explanation:
6 red socks and 8 black = 14 socks
P( red) = red/total = 6/14 = 3/7
Keep the red sock
5 red socks and 8 black = 13 socks
P(black) = black / total = 8/13
P(red, black, keeping the sock) = 3/7 * 8/13 = 24/91
A. It is not possible to determine if the triangles are congruent
B. ∆ABD ≅ ∆CBD by the SAS Postulate
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Answer:
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Step-by-step explanation:
We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.
The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.
From the diagram shown,
AB ≅ CB,
AD ≅ CD
BD = BD
We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.
Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate
Answer: Triangles ABD and CBD are congruent by the SSS Congruence Postulate.
Hope it helps :)
Using Cramer's Rule, what are the values of x and y in the solution to the system of linear equations below? -2x + 3y + z = 7 -4x - y -2z = 15 x + 2y +3z = -7
Answer:
x = -3
y = 1
z = -2
Step-by-step explanation:
-2x + 3y + z = 7
-4x - y -2z = 15
x + 2y +3z = -7
|-2 3 1|
|-4 -1 -2|
|1 2 3|
Determinant of this from online determinant calculator is;
D = 21
For Dx, we have;
|7 3 1|
|15 -1 -2|
|-7 2 3|
Determinant of this from online determinant calculator is;
Dx = -63
For Dy, we have;
|-2 7 1|
|-4 15 -2|
|1 -7 3|
Determinant of this from online determinant calculator is;
Dy = 21
For Dz, we have;
|-2 3 7|
|-4 -1 15|
|1 2 -7|
Determinant of this from online determinant calculator is;
Dz = -42
From creamers rule;
x = Dx/D
y = Dy/d
z = Dz/d
Thus;
x = -63/21
x = -3
y = 21/21
y = 1
z = -42/21
z = -2
Thus,
x = -3
y = 1
z = -2
If a picnic area is located at the midpoint between Lubbock and Amarillo, find the distance to the picnic area from the sign.
Answer:
52
Step-by-step explanation:
It is given that the picnic spot is in the Plainview. The picnic spot is also located between the md point of the places Lubbock and Amarillo.
In the figure the sign shows that from the place where we are standing,
-- the distance to Lubbock = 5 units
-- the distance to Plainview = 52 units
-- the distance to Amarillo = 128 units
So, form this we can say that the distance from the sign board to the picnic area in Plainview is 52.
Explain the connection between ∠2 and ∠B.
A triangle has angle measures 50 degrees, 65 degrees, and B. 2 lines extend from a horizontal line to form 3 angles. The angles are 50 degrees, 2, 65 degrees.
Answer:
∠2 ≅ ∠B
Step-by-step explanation:
Let the triangle be ABC,
Given that,
∠A = 50°
∠C = 65°
Using angle-sum property of the triangle,
∠A + ∠B + ∠C = 180°
50° + ∠B + 65° = 180°
∵ ∠B = 65° ...(i)
A.T.Q.
Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.
Since the adjacent angles comprising a straight line is equals to 180°.
so,
∠2 + 50° + 65° = 180°
∠2 + 115° = 180°
∠2 = 180° - 115°
∵ ∠2 = 65° ...(ii)
Using (i) and (ii),
∠2 ≅ ∠B
Therefore, ∠2 and ∠B are congruent to one another.
Answer: Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent.
Step-by-step explanation: its the sample response
Please help me find the length of the line!
Answer:
The length of the segment is 10.
Step-by-step explanation:
Think of the segment as the hypotenuse of a right triangle.
Draw the legs and label the lengths.
See the picture below.
The length of the hypotenuse is c.
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
c = 10
Answer: 10
What number is halfway between -0.5 and 2.3
Answer:
0.9
Step-by-step explanation:
In order to get halfway between -0.5 and 2.3, first, we need to take their sum:
Sum of digits
Sum = [tex]{-0.5+2.3}[/tex]
Sum = [tex]1.8[/tex]
Take the average of the sum
Average = [tex]\frac{1.8}{2} = 0.9[/tex]
Hence the halfway between the numbers is 0.9
teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa?
Answer:
Teresa tiene 1 chocolate.
Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:
1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.
Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:
2/3 - 1/4
recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:
(4/4)*(2/3) - (3/3)*(1/4)
(a cada fracción la multiplico y divido por el denominador de la otra)
8/12 - 3/12 = (8 - 3)/12 = 5/12
Es decir, Teresa finalmente tiene 5/12 del chocolate.
Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:
1 - 5/12 = 12/12 - 5/12 = 7/12
Ella repartió 7/12 de su chocolate.
La fracción de chocolate que repartió Teresa es 7/12
How to add two fractions?Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]
That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we're provided that:
Teresa gave 1/3th of the chocolate to MiguelTeresa gave 1/4th of the chocolate to Diego.So, the total part she gave is addition of those fractions.
Total part of chocolate Teresa gave = 1/3 + 1/4
LCM of 3 and 4 is 12 since 12 is the smallest number whose factors are 3 and 4 both(this is what LCM of two numbers denote).
Converting each fraction such that it has denominator 12, we get;
[tex]\dfrac{1}{3} \times\dfrac{4}{4} = \dfrac{4}{12}\\\\\dfrac{1}{4} \times\dfrac{3}{3} = \dfrac{3}{12}\\[/tex]
And their addition is:
[tex]\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}[/tex]
Thus, the portion of the chocolate that Teresa distributed is 7/12.
Learn more about fraction addition here:
https://brainly.com/question/17544795
Which expression is equivalent to 1/3 (6m+15) +3
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
Answer:
Yes. It represents [tex]m = h + 1000[/tex] (where h is hours of training and m is monthly pay).
I NEEDDDDD HELPPPP PLEASEEEEEE!!!!!!!!
Answer:
sin C = 12/13
Step-by-step explanation:
Since this is a right triangle
Sin C = opp side / hypotenuse
sin C = 36/39
sin C = 12/13
Given the box plot, will the mean or the median provide a better description of the center?
*box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15*
Answer:
A- The mean, because the data distribution is symmetrical
Step-by-step explanation:
When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.
Solve for x. Round to the nearest tenth, if necessary. PLEASE HELP!
Answer:
15.6
Step-by-step explanation:
SOH -CHA-TOA
Tan = opp / adj
Tan(60) = 27/x
x = 27/tan(60)
Answer:
x ≈ 5.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{9.3}{x}[/tex] ( multiply both sides by x )
x × tan60° = 9.3 ( divide both sides by tan60° )
x = [tex]\frac{9.3}{tan60}[/tex] ≈ 5.4 ( to the nearest tenth )
What is the explicit formula for this sequence?
-7, -3, 1, 5, ...
Answer:
Step-by-step explanation:
a1 = - 7
d = 4
an = a1 + (n - 1) * d
an = - 7 + (n - 1) * 4
an = - 7 + 4n - 4
an = -11 + 4n
Try this out. Let n = 3
a3 = -11 + 4*3
a3 = - 11 + 12
a3 = 1 Which is what the series says.
Find the length of RX. PLEASE HELP ASAP!
A.7.96
B.76.11
C.76.53
Answer:
B
Step-by-step explanation:
We want to find RX.
Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.
Thus, we can use the tangent ratio. Recall that:
[tex]\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute:
[tex]\displaystyle \tan6^\circ = \frac{8}{RX}[/tex]
Take the reciprocal of both sides:
[tex]\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}[/tex]
Multiply both sides by 8:
[tex]\displaystyle RX = \frac{8}{\tan6^\circ}[/tex]
Use a calculator (make sure you're in Degrees mode!):
[tex]\displaystyle RX\approx 76.1149[/tex]
Hence, our answer is B.
If A=(-1,-3) and B=(11,-8), what is the length of line ab?
Hi!
[tex]A=(-1,-3) \ and \ B=(11,-8)\\\\|AB|=\sqrt{(11-(-1))^2+(-8-(-3))^2}\\\\|AB|=\sqrt{(11+1)^2+(-8+3)^2}\\\\|AB|=\sqrt{12^2+(-5)^2}\\\\|AB|=\sqrt{144+25}\\\\|AB|=\sqrt{169}\longrightarrow\boxed{|AB|=13}[/tex]
Answer:
d=13
Step-by-step explanation:
the steps are in the pics below
The measure of an angle is 112.7º. What is the measure of its supplementary angle?
Answer:
67.3
Step-by-step explanation:
Let x = unknown angle
Supplementary angles add up to equal 180
Hence 112.7 + x = 180
Solve for x
112.7 + x = 180
Subtract 112.7 from both sides
x = 67.3
An angle supplementary to an angle with a measure of 112.7 degrees has a measure of 67.3
hey please answer soon i need this done soon! 20points!!!
Which classification describes the system of linear equations?
{3x−y=2y=3x+2
consistent independent
inconsistent
consistent dependent
Answer:
consistent independentExplanation:-The system of linear equations {3x−y=2y=3x+2 describes consistent independent .Hope it is helpful to you stay safe healthy and happy ☺️x^4-x^2+x-1 is divided by x-1
Answer:
1
Step-by-step explanation:
There were 234 beads in each bag Lisa bought 3 bags of beads and have 87 beads away how many beads did she have left
f(x) = x^2 + 1 is limited to (0, 1, 2, 3), what is the maximum love you all of the range?
Answer:
2
Step-by-step explanation:
f(x)=x^2+1
now,
f(1)=1^2+1
=1+1
=2
A hot-air balloon is tied to the ground with two ropes, as shown below. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 50° with the ground. Determine the height of the balloon above the ground, to the nearest foot. For this open-ended question, do you want to type your answer or upload the picture of your work on the paper? *
Answer:
84 ft
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opp side / hypotenuse
sin 50 = y / 110 where y is the height above the ground
110 sin 50 = y
84.26488 = y
To the nearest foot
84 ft
Answer:
84 feet
Step-by-step explanation:
Since you are given an angle and the length of hypotenuse, you can use the trigonometric function sine.
sinθ = opposite length / hypotenuse length
sin (50) = x / 110
sin(50) * 110 = x
~84 feet
Please help me :)))!!!!!!
Answer:
16 × X + 3=
Step-by-step explanation:
u will get your answer
It is given that cos 0 = -0.4209 and 0° 0 < 360°. Calculato the values of 0
Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees
Please hurry I will mark you brainliest
answer ..........(114,0.16)
Answer:
I dont mind answering but what is the question comment the question and i will solve it for you ;)
125 = a 5 ise a kaçtır? A3 B) 4 C) 5 D) 25
Answer:
D
Step-by-step explanation:
25×5=125
I hope it helps