Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Answer:
spoke out of term and with no true option.
URGENT WILL GIVE BRANLIEST ASAP PLSS
Answer:
they are supplementary so
180-101
=79 degrees
Answer:
9.
Angle 1 and angle 2 are supplementary angles, which means they add up to 180. Thus, as angle 1 is 101 degrees, angle 2 is 180-101 degrees, which is 79 degrees.
8. complementary angles are angles that add up to 90 degrees. The picture shows us that angle AGB is 90 degrees because there is a square symbolizing it. Therefore AGE also must be 90 degrees because it is congruent to angle AGB. The two angles that makeup AGE are AGF and FGE. Therefore, it is the first option.
7.
Adjacent angles are two angles that have a common vertex and a common side but do not overlap. The only pair of angles given that are next to each other is the second option, DGE and DGC.
What is the measure is B? And an explanation too but if not it’s fine!
Answer:
A
Step-by-step explanation:
Two angles are complementary if their angles add up to 90
let x= angle b
35+x=90
x=55
What kind of angle is
What is the measure of
What kind of angle is ‹FEB?
What is measure of
What kind of arc is AFD?
What is the measure of AFD?
Answer:
<FEB is Acute angle and it's measure is 39°
AFD is a minor arc it's measure is 25°
zoom in if beaded and pls help pronto
Answer:
F. six times a number less 9
Step-by-step explanation:
The statement doesn't make sense.
it would make sense if it was:
six times a number less than 9
9 - 6x
Others would make sense:
8(6/3)
x - 12
5x = 30
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
the sum of x and 3 all divided by 2 is equal to x squared
Answer:
(x + 3)/2 = x²
Step-by-step explanation:
The sum of x and 3 all divided by 2 is equal to x squared
(x + 3)/2 = x²
I need this please help me
41 POINT!!!!!! Find the value of x in the triangle shown below.
Answer:
B. root(130)
Step-by-step explanation:
we have to use the Pythagorean Theorem for this which is
Asquared + Bsquared = Csquared
where A and B are legs of the triangle separated by 45°, and C is the hypotenuse.
we want to find X which is where the hypotenuse is so we're just solving for C.
now we plug in all of the numbers we have into the formula.
7squared + 9squared = Csquared
49 + 81 = Csquared
130 = Csquared
now we take the square root from both sides to cancel out the square on the C.
root(130) = root(Csquared)
root(130) = C
Consider the initial value problem my''+cy'+ky=F(t), y(0)=0, y'(0)=0, modeling the motion of a spring mass dashpot system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m=2 kilograms, c=8 kilograms per second, k=80 Newtons per meter, and F(t)=20 sin(6t) Newtons.
1. Solve the initial value problem. y(t)=?
2. Determine the long term behavior of the system. Is lim as t goes to infinity of y(t)=0? If it is, enter zero. If not, enter a function that approximates y(t) for very large positive values of t. For very large positive values of t, y(t) is approximately.. ?
Answer:
Hence, the [tex]y(t)=e^{-2 t}\left(\frac{75}{74} \cos 6 t+\frac{75}{148} \sin 6 t\right)-\frac{25}{148}(6 \cos (6 t)-\sin (6 t))\end{array}[/tex] and approximately value of [tex]y(t)[/tex] is [tex]-0.844[/tex].
Given :
[tex]my''+cy'+ky=F(t), y(0)=0, y'(0)=0,[/tex]
Where [tex]m=2[/tex] kilograms
[tex]c=8[/tex] kilograms per second
[tex]k=80[/tex] Newtons per meter
[tex]F(t)=20\sin (6t)[/tex] Newtons
Explanation :
(1)
Solve the initial value problem. [tex]y(t)[/tex]
[tex]my''+cy'+ky=F(t), y(0)=0, y'(0)=0,[/tex]
[tex]\Rightarrow 2y''+8y'+80y=20\sin (6t)[/tex]
[tex]\Rightarrow y''+4y'+40y=10\sin (6t)[/tex]
Auxilary equations :[tex]F(t)=0[/tex]
[tex]\Rightarrow r^2+4r+40=0[/tex]
[tex]\Rightarrow r=\frac{-4\pm\sqrt{4^2-4\times 1\times 40}}{2\times 1}[/tex]
[tex]\Rightarrow r=\frac{-4\pm\sqrt{16-160}}{2}[/tex]
[tex]\Rightarrow r=\frac{-4\pm\sqrt{-144}}{2}[/tex]
[tex]\Rightarrow r=\frac{-4\pm12i}{2}[/tex]
[tex]\Rightarrow r=-2\pm6i[/tex]
The complementary solution is [tex]y_c=e^{-2t}\left(c_1\cos 6t+c_2\sin 6t\right)[/tex]
The particular Integral, [tex]y_p=\frac{1}{f(D)}F(t)[/tex]
[tex]y_{y} &=\frac{1}{D^{2}+4 D+40} 25 \sin (6 t) \\\\ y_{y} &=\frac{25}{-6^{2}+4 D+40} \sin (6 t) \quad\left(D^{2} \text { is replaced with }-6^{2}=-36\right) \\\\y_{y} &=\frac{25}{4 D+4} \sin (6 t) \\\\y_{y} &=\frac{25}{4(D+1)} \sin (6 t) \\\\y_{y} &=\frac{25(D-1)}{4(D+1)(D-1)} \sin (6 t) \\\\y_{y} &=\frac{25(D-1)}{4\left(D^{2}-1\right)} \sin (6 t) \\\\y_{y} &=\frac{25(D-1)}{4(-36-1)} \sin (6 t) \\\\y_{y} &=-\frac{25}{148}(D-1) \sin (6 t) \\y_{y} &=-\frac{25}{148}\left(\frac{d}{d t} \sin (6 t)-\sin (6[/tex]
Hence the general solution is :[tex]y=y_c+y_p=e^{-2t}(c_1\cos 6t+c_2\sin 6t)-\frac{25}{148}(6\cos 6t-\sin 6t)[/tex]
Now we use given initial condition.
[tex]y(t) &=e^{-2 t}\left(c_{1} \cos 6 t+c_{2} \sin 6 t\right)-\frac{25}{148}(6 \cos (6 t)-\sin (6 t)) \\\\\y(0) &=e^{-\alpha 0)}\left(c_{1} \cos (0)+c_{2} \sin (0)\right)-\frac{25}{148}(6 \cos (0)-\sin (0)) \\\\0 &=\left(c_{1}\right)-\frac{25}{148}(6) \\\\c_{1} &=\frac{75}{74} \\\\y(t) &=e^{-2 t}\left(c_{1} \cos 6 t+c_{2} \sin 6 t\right)-\frac{25}{148}(6 \cos (6 t)-\sin (6 t)) \\\\[/tex]
[tex]y^{\prime}(t)=-2 e^{-2 t}\left(c_{1} \cos 6 t+c_{2} \sin 6 t\right)+e^{-2 t}\left(-6 c_{1} \sin 6 t+6 c_{2} \cos 6 t\right)-\frac{25}{148}(-36 \sin (6 t)-6 \cos (6 t)) \\\\y^{\prime}(0)=-2 e^{0}\left(c_{1} \cos 0+c_{2} \sin 0\right)+e^{0}\left(-6 c_{1} \sin 0+6 c_{2} \cos 0\right)-\frac{25}{148}(-36 \sin 0-6 \cos 0) \\\\0=-2\left(c_{1}\right)+\left(6 c_{2}\right)-\frac{25}{148}(-6) \\\\0=-2 c_{1}+6 c_{2}+\frac{75}{74} \\\\0=-2\left(\frac{75}{74}\right)+6 c_{2}+\frac{75}{74} \\\\[/tex][tex]\begin{array}{l}0=-\frac{150}{74}+6 c_{2}+\frac{75}{74} \\\\\frac{150}{74}-\frac{75}{74}=6 c_{2}\end{array}[/tex]
[tex]\begin{array}{l}c_{2}=\frac{25}{148}\\\\\text { Substitute } c_{1} \text { and } c_{2} \text { in } y(t) \text { . Then }\\\\y(t)=e^{-2 t}\left(\frac{75}{74} \cos 6 t+\frac{75}{148} \sin 6 t\right)-\frac{25}{148}(6 \cos (6 t)-\sin (6 t))\end{array}[/tex]
(2)
[tex]y(t)=e^{-2 t}\left(\frac{75}{74} \cos 6 t+\frac{75}{148} \sin 6 t\right)-\frac{25}{148}(6 \cos (6 t)-\sin (6 t)) \\\\y(t)=\left(\frac{75}{74} e^{-2 t} \cos 6 t+\frac{75}{148} e^{-2 t} \sin 6 t\right)-\frac{25}{148}(6 \cos (6 t)-\sin (6 t)) \\\\y(t)=\frac{75}{74}\left(e^{-2 t}-1\right) \cos 6 t+\frac{25}{148}\left(3 e^{-2 t}+1\right) \sin 6 t \\\\|y(t)| \leq \frac{75}{74} e^{-2 t}-1|\cos 6 t|+\frac{25}{148}\left|3 e^{-2 t}+1\right||\sin 6 t| \\\\[/tex]
[tex]|y(t)| \leq \frac{75}{74}\left|e^{-2 t}-1\right|+\frac{25}{148}\left|3 e^{-2 t}+1\right| \\\\\lim _{t \rightarrow \infty} y(t) \leq \lim _{t \rightarrow \infty}\left\{\frac{75}{74}\left|e^{-2 t}-1\right|+\frac{25}{148}\left|3 e^{-2 t}+1\right|\right\} \\\\\lim _{t \rightarrow \infty} y(t)=\left\{\frac{75}{74}\left|\lim _{t \rightarrow \infty}\left(e^{-2 t}-1\right)\right|+\frac{25}{148}\left|\lim _{t \rightarrow \infty}\left(3 e^{-2 t}+1\right)\right|\right\} \\[/tex]
[tex]\lim _{t \rightarrow \infty} y(t)=\left\{\frac{75}{74}(-1)+\frac{25}{148}(1)\right\}=-\frac{75}{74}+\frac{25}{148}=-\frac{-150+25}{148}=-\frac{125}{148} \approx-0.844[/tex]
Out of a group of 120 students that were surveyed about winter sports 28 said they ski 53 said they snowboard Sixteen of the students who said they ski said the also snowboard. If a student is chosen at random P ( snowboard I ski)
Answer:
P ( snowboard I ski) = 0.5714
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Ski
Event B: Snowboard.
28 out of 120 students ski:
This means that [tex]P(A) = \frac{28}{120} = 0.2333[/tex]
16 out of 120 do both:
This means that [tex]P(A \cap B) = \frac{16}{120} = 0.1333[/tex]
P ( snowboard I ski)
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1333}{0.2333} = 0.5714[/tex]
So
P ( snowboard I ski) = 0.5714
A teacher has a bag of marbles. There are 6 red, 6 blue, 8 green7 purple, and 8 yellow marbles in the bag. As the students enter the classroom, they draw a marble and keep it. If the first student in the room draws a yellowand the second draws a purple, what is the probability that the third student will draw a blue?
25%
18%
22%
33%
Answer:
18%
Step-by-step explanation:
Hope this helps :))
Answer:
the answer is 18%
hope this helps
Find the measure of PR in the triangle below.
S
13
13
P 5 Q
R.
Answer:
PQ=QR
PQ=5
so, QR=5
PR= PQ + QR
=5+5
= 10
plzzzzzzzz help for a brainly
Answer:
50
Step-by-step explanation:
50+40=90 and that's what you need
Answer:
50
Step-by-step explanation:
it's a right triangle so it has to equal 90 and since there is a 40 you will need 50 to equal 90
Use the quadratic formula to solve x2 – 3x - 2 = 0.
Answer:
x = 2 , 1
Step-by-step explanation:
Answer:
2.5 or 3.5
Step-by-step explanation:
The quadratic formula is [tex]x = -b +/- \frac{\sqrt{b^2 + 4ac}}{2a}[/tex] .
a, b, and c are determined by the terms in the formula ax^2 + bx + c
They gave you the equation x^2 - 3x - 2, which fits that formula. a is 1, b is -3, and c is -2. So plug those values into the equation:
[tex]x = -(-3) +/- \frac{\sqrt{(-3)^2 + 4(1)(-2)}}{2(1)}[/tex]
[tex]x = 3 +/- \frac{\sqrt{9 -8}}{2}[/tex]
[tex]x = 3 +/- \frac{\sqrt{1}}{2}[/tex]
[tex]x = 3 +/- \frac{1}{2}[/tex]
So x is 3 plus or minus -1/2. 3 plus -1/2 is 2.5
3 minus -1/2 is 3.5
So the 2 possible x values are 2.5 and 3.5.
If the value of the complementary angles are 5x and 20, what is the value of x? ANSWER QUICKLY PLS
Answer:
4 5x4 =20
Step-by-step explanation:
Answer:
wouldn't it be 4?
Step-by-step explanation:
When 2x^2 - 20x + 49 = 19 is written in the form (x - p)^2 = q, what is the value of q?
a. 19
b. 10
c. 5
d. -30
Answer: 10
Step-by-step explanation:
In a section of a baseball stadium, there are 11 seats in the first row. There are 15 seats in the second row, 19 seats in the third row, and
23 seats in the fourth row.
If the number of seats in each row follows the pattern described above, which recursive function defines the number of seats in the nth row?
A. f(1) = 11
f(n) = 4.f(n - 1), for n > 2
B. f(1) = 4
f(n) = f(n - 1) + 11, for n > 2
C. f(1) = 11
f(n) = f(n − 1) + 4, for n > 2
D.
f(1) = 4
f(n) = 11. f(n − 1), for n > 2
Answer:
A
Step-by-step explanation:
A tennis ball is struck and departs from the racket horizontally with a speed of 27.3 m/s. The ball hits the court at a horizontal distance of 19.6 m from the racket. How far above the court is the tennis ball when it leaves the racket?
Answer: 28.0 m/s
Step-by-step explanation: As a tennis ball is struck, it departs from the racket horizontally with a speed of 28.0 m/s
hope this helped
Given the center of a circle is at (5, -2) and the radius is = 17, write the equation of the circle
Answer:
(x-5)²+(y+2)²=289
Step-by-step explanation:
To do this recall that when writing the center we have the opposite sing
for example in the equation (x+b)²+(y+c)² the center would be (-b,-c)
so we can write (x-5)²+(y+2)²
To find the radius we take the square root of what's on the other side of the equation. So the inverse is 17² or 289
so the final answer is
(x-5)²+(y+2)²=289
Round 9,526,789 to the nearest hundred thousand
Answer:
9,500,000. the ten thousands place has a two, which is one less than 3, rendering the 6 in the thousand's place ineffective
Step-by-step explanation:
4 or less let it rest, 5 or more let it score
Is 3.37 less than 3.368
Answer:
no
Step-by-step explanation:
Answer:
it's not
Step-by-step explanation:
the polygons are similar. Find the missing side length. NO LINKS!!!!
Answer:
CD = 27
Step-by-step explanation:
Given the triangles are similar then the ratios of corresponding sided are equal, that is
[tex]\frac{CD}{KD}[/tex] = [tex]\frac{CB}{KL}[/tex] , substitute values
[tex]\frac{CD}{9}[/tex] = [tex]\frac{30}{10}[/tex] = 3 ( multiply both sides by 9 )
CD = 27
A parallelogram has an area of 416 square meters and a base measuring 16 meters,
What is the height of the parallelogram?
The height is ____ m.
Pls help I need this done today!!!
FIRST PERSON TO ANSWER GETS BRAINLYEST WHATEVER ITS CALLED
Answer:
26 meters
Step-by-step explanation:
a = bh
416 = 16h
Divide both sides by 16
h = 26
26 meters
Drag each tile to the correct box.
Put the expressions in order from least to greatest
(20+75)x4
(20+75)x3
(20+75)
______
2
(20+75)
______
6
Help-
Answer:
(20+75)/6 < (20+75)/2 < (20+75) × 3 < (20+75) × 4
Step-by-step explanation:
just solve each problem and compare the values.
Pls help I’m begging u pls help I need this have a good day pls help
Answer:j
Step-by-step explanation:
Wilma used 60 centimeters of lace to make a border around a rectangular card.the width of the card is 20 centimeters what is the length of the card?
Answer:
10 Centimeters
Step-by-step explanation:
The width of the rectangle is 20, and there are 4 sides, and two pairs, so that means there are two sides that are 20 centimeters, equaling 40, and 60-40=20 and you just split the 20 between the remaining 2 sides
Jasper borrowed $985 for a new TV and game system. He will make 6 payments of $190 to repay the loan. How much will he pay in interest?
Answer:
$155
Step-by-step explanation:
If the TV costs $985 and Jasper pays 6 * $190 = 1190 then Jasper pays $1140 - $985 = $155 in interest.
Answer:
155
Step-by-step explanation:
190
×6=1140-985=155
PLEASE HELP
Select the correct answer from each drop-down menu.
8 cm
4 cm
9 cm
3 cm
3 cm
6 cm
The given composite shape has an area of
cm² and a perimeter of
cm.
Answers:
Area = 78 cm^2
Perimeter = 42 cm
============================================================
Explanation:
Refer to the diagram below.
I've added points and labels, along with the dashed lines to break up the figure into three rectangles. The points in blue are the corner points of the original figure. The red points help set up the dashed lines.
Along the very top, we have BC = 8 cm, which breaks down into BK = 6 and KC = 2. Opposite of side KC is GJ = 2. For any rectangle, the opposite sides are always the same length.
Side AB = 9 cm. The three vertical sides of CD, EF, and GH all must add to get 9 cm in total, since the right side is the same height as the left side. We are given that EF = 3 and GH = 3, which must mean CD = 3 as well.
Through similar logic, the sides BC = 8 and DE = 4 add to 8+4 = 12 cm total. This total distance across the top must match the total distance along the bottom; i.e. the bottom horizontal sides of AH and GF must add to 12 as well. We are given AH = 6, so GF = 6 also.
Recall earlier we found GJ = 2. If GF = 6, then that leads to JF = 4.
In other words, GJ+JF = 2+4 = 6 = GF.
All of this is visually shown in the diagram shown below.
Once you have the diagram set up as shown, it's fairly straight forward from here. Compute the area of each of the three smaller rectangles and then add up those smaller areas to get the overall area.
I'll work from left to right to find the areas:
Rectangle ABKH has area of 9*6 = 54 cm^2Rectangle GKCJ has area 6*2 = 12 cm^2Rectangle JDEF has area 3*4 = 12 cm^2The total area of the composite figure is therefore: 54+12+12 = 78 cm^2
---------------------------
The perimeter is the sum of all the external sides. We'll ignore the dashed lines as they are not exterior segments.
perimeter = sum of exterior sides
perimeter = AB+BC+CD+DE+EF+FG+GH+HA
perimeter = 9+8+3+4+3+6+3+6
perimeter = 42 cm
Notes:
To keep things organized, I'm working clockwise when going from AB to BC to CD etcThere are a total of 8 exterior sides being added up to get the perimeter.In XYZ the measure of Z=90 ZY=7, XZ=24 and YX=25 what ratio represents the cosine of X?
Answer:
24/25
Step-by-step explanation:
on delta math
The ratio of cosine of angle X is 24/25.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given a right triangle, XYZ with angle Y equals 90° and ZY=7, XZ=24 and YX=25
The ratio of the cosine of an angle is the ratio of the base to the hypotenuse of the right triangle,
Here, Cosine of angle X = XZ/YX
cosX = 24/25
Hence, The ratio of cosine of angle X is 24/25.
For more references on trigonometric ratios, click;
https://brainly.com/question/25122825
#SPJ2
Franz must buy a minimum of $25 of art supplies to qualify for free shipping. He bought an easel for $15. He also bought 10 tubes of paint that all costs the same amount. *
Answer:
if each tube of paints costs a dollar he will get 25 because of the 15 dollars added to the 10 dollars
Step-by-step explanation:
hope this helps
4. Find the LCM of the pair of polynomials. 3x(x + 2) and 6x(2x − 3) 1.(x + 2)(2x − 3) 2.6x(x + 2)(2x − 3) 3.3x(x + 2)(2x − 3) 4.18x(x + 2)(2x − 3)
Answer:A
Step-by-step explanation:
Answer:
Correct answer is 6x(x+2)(2x-3)
Step-by-step explanation:
best answer choice I got and also I got it correct!!!
