the change in x is 1 and 2 in y respectively
the points are in order from r (x,y) to m (9,8) to s (10,10
if we take - 1 from x and 2 from y we will get r, or (8,6)
whats the squareroot of 98
Answer: 7√2
Step-by-step explanation: To simplify a square root where the number inside the radical is not a perfect square like the square root of 98, we start by making a factor tree for the number inside.
98 factors as 2 · 49 and if you know your perfect squares,
you should be able to recognize 49 as 7 · 7.
What we are looking for in our factor tree
are pairs of factors that are the same.
If a factor pairs up, it will come out of the radical.
If a factor does not pair up, then it stays inside the radical.
So here, since our 7's pair up, a 7 will come out of the radical.
Since the 2 does not pair up, it stays inside the radical.
So our answer is 7√2.
A students wants to report on the number of movies her friends watch each week. The collected date are below:
0, 0, 1, 1, 2, 2, 2, 14
which measure of center is most appropriate for this situation and what's its value?
A.) Median; 1.5
B.) Median; 3
C.) Mean; 1.5
D.) Mean; 3
Answer:
A.) median; 1.5
Step-by-step explanation:
Hello!
The median is the number that is in the middle when the numbers are listed from least to greatest
0, 0, 1, 1, 2, 2, 2, 14
We can take one from both sides till there are one or two numbers left
0, 1, 1, 2, 2, 2
1, 1, 2, 2
1, 2
If there are two numbers left we add them then divide by 2 to get the median
1 + 2 = 3
3 / 2 = 1.5
The answer is A.) median; 1.5
Hope this helps!
solve the equation 3), x=???? Please help me!!!
Answer:
x = {π/4, 7π/6, 5π/4, 11π/6} +2kπ . . . for any integer k
Step-by-step explanation:
[tex]\dfrac{\sin^3{x}}{1+\cos{x}}+\dfrac{\cos^3{x}}{1+\sin{x}}=\cos{2x}+2\cos{x}-1\\\\\dfrac{\sin{x}(1-\cos^2{x})}{1+\cos{x}}+\dfrac{\cos{x}(1-\sin^2{x})}{1+\sin{x}}=\cos^2{x}-\sin^2{x}+2\cos{x}-1\\\\\sin{x}(1-\cos{x})+\cos{x}(1-\sin{x})=\cos^2{x}-\sin^2{x}+2\cos{x}-1\\\\\sin{x}+\cos{x}-2\sin{x}\cos{x}=2\cos{x}-2\sin^2{x}\qquad\text{use $1=s^2+c^2$}\\\\\sin{x}+2\sin^2{x}-\cos{x}-2\sin{x}\cos{x}=0\\\\\sin{x}(1+2\sin{x})-\cos{x}(1+2\sin{x})=0\\\\(\sin{x}-\cos{x})(1+2\sin{x})=0[/tex]
This will have solutions where the factors are zero.
sin(x) -cos(x) = 0
Dividing by cos(x), we have ...
tan(x) -1 = 0
x = arctan(1) = π/4, 5π/4
1 +2sin(x) = 0
sin(x) = -1/2
x = arcsin(-1/2) = 7π/6, 11π/6
The four solutions in the interval [0, 2π] are x = {π/4, 7π/6, 5π/4, 11π/6}. Solutions repeat every 2π radians.
_____
Additional comment
We have made use of the factoring of the difference of squares:
(1 -a^2) = (1 -a)(1 +a)
and we have made use of the cosine double angle identity:
cos(2x) = cos(x)^2 -sin(x)^2
The "Pythagorean" identity for sine and cosine was used several times:
1 = sin(x)^2 +cos(x)^2
Please solve, will give BRAINLIST!!
Answer:
x = 19 1/3
Step-by-step explanation:
6/14 = 7/(x-3)
Using cross products
6 * (x-3) = 7*14
6x -18 = 98
Add 18 to each side
6x-18+18 =98+18
6x = 116
Divide each side by 6
6x/6 = 116/6
x =58/3
x = 19 1/3
Answer= 58/3
Step by Step
Step 1: Cross-multiply.
6*(x−3)=(7)*(14)
6x−18=98
Step 2: Add 18 to both sides.
6x−18+18=98+18
6x=116
Step 3: Divide both sides by 6.
6x /6 = 116 /6
x= 58 /3
Find the slope of AB
A (-3, 12), B (-11, -16)
Answer:
The slope is
[tex] \frac{7}{2} [/tex]Step-by-step explanation:
To find the slope of AB we use the formula
[tex]m = \frac{y _{2} - y _{1} }{x _{2} - x_{1}} [/tex]Where
m is the slope and
(x1 , y1) and (x2 , y2) are the points
The slope of AB
A (-3, 12), B (-11, -16) is
[tex]m = \frac{ - 16 - 12}{ - 11 + 3} = \frac{ - 28}{ - 8} [/tex]We have the final answer as
[tex]m = \frac{7}{2} [/tex]Hope this helps you
Melissa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. On Thursday there were 2 clients who did Plan A and 12 who did Plan B. Melissa trained her Wednesday clients for a total of 7 hours and her Thursday clients for a total of 19 hours. How long does each of the workout plans last? LengthofeachPlanAworkout:hour(s) LengthofeachPlanBworkout:hour(s)
Let Length of each Plan A workout be [tex] a[/tex]
and Length of each Plan B workout be $b$
on Wednesday,
$5a+3b=7$
$2a+12b=19$
multiply equation one by $4$ and subtract equation two from it
to get,
$18a=9$ or $a=\frac12$
substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$
what is the answer to (3^2-8) +4=
Answer:
5
Step-by-step explanation:
Answer:
5 is the answer to the question.
Step-by-step explanation:
(3² - 8) + 4
= (3×3×3 - 8) + 4
= (9 - 8) + 4
= 1 - 4
= 5
can someone please help me
Answer:
y=3
Step-by-step explanation:
7y-(5y+4)=10
7y-5y+4=10
-4 -4
7y-5y=6
2y=6
÷2 ÷2
y=3
please help ASAP!! question is in the image below
Answer:
(a) ∠EFH = 68°
(b) ∠EGF = 21°
Step-by-step explanation:
(a) The given parameters are;
The diameter of the circle = Segment [tex]\overline{EG}[/tex]
Arc [tex]m\widehat{FG}[/tex] = 138°
∠GFH = 22°
∠ EFG = (Angle subtended by the diameter EG at the center)
Arc mEG = 180° (Arc subtended by the diameter of a circle = 180°)
∠ EFG is subtended by the diameter EG at the center
∴ ∠ EFG = 90° (Angle at the center = 2 times angle at the circumference)
∠EFG = ∠EFH + ∠GFH (Angle addition postulate)
∴ ∠EFH = ∠EFG - ∠GFH = 90° - 22° = 68°
∠EFH = 68°
(b) ∠EGF
Arc GH = 44°
Arc mFE + Arc [tex]m\widehat{FG}[/tex] + Arc mEHG = 360 (Sum of angles at the center of a circle)
Arc mFE = 360 - ( Arc [tex]m\widehat{FG}[/tex] + Arc mEHG )
Arc mFE = 360 - 180 - 138 = 42°
∠EGF = Arc mFE/2 (Angle at the center = 2 times angle at the circumference)
∠EGF = 42/2 = 21°
∠EGF = 21°
f(x)=x^2 what is g(x)?
pls help me
Answer:
C.
Step-by-step explanation:
The transformation f(x) ---> a f(x) stretches the graph of f(x) vertically by a factor a.
The point (1, 1) on f(x) transforms to (1,9) on g(x).
This is a vertical transformation of factor 9, so g(x) = 9f(x)
= 9x^2 or (3x)^2.
f(x) [tex]\sqrt{x-9}[/tex] ; g(x) = 8x - 13 Find f(g(x)).
Answer:
f(g(x)) = [tex]\sqrt{8x-22}[/tex]
Step-by-step explanation:
Substitute x = g(x) into f(x), that is
f(g(x))
= f(8x - 13)
= [tex]\sqrt{8x-13-9}[/tex]
= [tex]\sqrt{8x-22}[/tex]
Quadratic and Ratios...
Answer:
x=0
Step-by-step explanation:
in the quadratic formula to only have one solution
[tex]b^{2} -4ac=0[/tex] for [tex]ax^2+bx+c=0[/tex]
so we have
[tex]ax^2+b=c[/tex]
[tex]ax^2+(b-c)=0[/tex]
if we insert in the formula we have
[tex]0^2-4(a)(b-c)=0\\\\-4ab+4ac=0\\\\4ac=4ab\\\\\frac{4ac}{4a} = \frac{4ab}{4a}\\\\c=b[/tex]
[tex]ax^2+b=c\\\\ax^2=b-b\\\\ax^2=0[/tex] since a≠0
[tex]\frac{ax^2}{a}=\frac{0}{a} \\\\x^2=0\\\\x=0[/tex]
3 x 19 x 14 + 18 ÷ 2
Answer:
807Step-by-step explanation:
[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]
[tex] = 807[/tex]
Answer:
408
Step-by-step explanation:
3x19= 57
57x14= 798
798 + 18= 816
816/ 2= 408
The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round your answer to the nearest tenth.
Answer:
$178.3
Step-by-step explanation:
The value of a car is $20,000
The car loses 10.7% of its value yearly
Since there are 12 months in a year then 10.7% can be represented as
10.7%/12
= 0.8916%
Therefore the approximate monthly decrease in value can be calculated as follows
= $20,000×0.8916/100
= $20,000×0.008916
= $178.3
Hence the approximate monthly decrease in value is $178.3
Choose the best definition for the following phrase: combining like terms (1 point)
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answer:
D. Terms that have identical variable parts
Step-by-step explanation:
Like terms refers to terms that have identical variable parts.
For example:
Given the expression
2xy + z + x + 3y - 5z + 4y - xy + 3x
The like terms in the expression are:
2xy - xy= xy
z - 5z= -4z
x + 3x= 4x
3y + 4y=7y
The new expression will be
xy - 4z + 4x + 7y
What’s the value of X in this triangle
Answer:
x = 69.4
Step-by-step explanation:
law of sines
sine x/4 = sine 55/3.5
x = ( sine(55) * 4 ) / 3.5
x = inv sine (0.936)
x = 69.4
The slope of the line whose equation is x + y = 6 is: -1 1 6
Answer:
the slope of the line x+y = 6 is -1.
Step-by-step explanation:
slope = - coefficient of x
----------------------
coefficient of y
slope = -1 /1
slope = -1
Answer:
A: -1
Step-by-step explanation:
Maria had 600 coins in her wallet, but now she has 30 left of coins. What percentage of the 600 money does he have left?
Answer:5
Step-by-step explanation:30/600×100
Answer:
5%Step-by-step explanation:
[tex]\frac{30}{600} \times 100\\\\= \frac{3000}{600}\\ \\= 5\%[/tex]
Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season. A. linear B. exponential C. none of these D. quadratic
Answer:
A. linear, because it's growing the same amount each growing season
Step-by-step explanation:
Answer:
Step-by-step explanation: the answer is linear because it goes up by a constant every year
Meredith has $630,000 she wants to save. If the FDIC insurance limit per
depositor, per bank, is $250,000, which of these ways of distributing her
money between three banks will guarantee that all of her money is insured?
A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C
B. $200,000 in bank A, $170,000 in bank B, $260,000 in bank C
C. $160,000 in bank A, $180,000 in bank B, $290,000 in bank C
D. $160,000 in bank A, $200,000 in bank B, $270,000 in bank C
you
Answer:
$200,000 in bank A, $200,000 in bank B, $230,000 in bank C
Step-by-step explanation:
Meredith has $630,000
Limit per depositor, per bank, is $250,000
She needs to distribute her money between three Banks to guarantee that her money is insured.
A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C
It can be seen in A that her deposit per bank deposit didn't exceed the $250,000 limit in the three Banks.
B. $200,000 in bank A, $170,000 in bank B, $260,000 in bank C
Here, her deposit in bank C exceeds $250,000, so there is no guarantee for insurance in bank C
C. $160,000 in bank A, $180,000 in bank B, $290,000 in bank C
Her deposit in bank C is $290,000 which exceeds the $250,000 limit. Therefore, no guarantee for insurance of her money in bank C
D. $160,000 in bank A, $200,000 in bank B, $270,000 in bank C
you
Also, her deposit in bank C exceeds $250,000, so there is no guarantee for insurance in bank C
The way her money can be distributed between three Banks and guarantee insurance is
A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C.
That way, her deposit per bank is less than the $250,000 limit
Multiply. (2x - 3)(x + 4) a 2x² + 11x - 12 b 2x² + 5x - 12 c 2x² + 11x - 7 d 2x² + 3x - 7
Answer:
2x^2 +5x-12
Step-by-step explanation:
(2x - 3)(x + 4)
FOIL
first 2x*x = 2x^2
outer 2x*4 = 8x
inner -3x
last -3*4 = -12
Add these together
2x^2 +8x-3x-12
Combine like terms
2x^2 +5x-12
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
Option (2)
Step-by-step explanation:
In the given circle,
[tex]m(\widehat{CBD})+m(\widehat{CED})[/tex] = 360°
Therefore, 212° + [tex]m(\widehat{CED})[/tex] = 360°
[tex]m(\widehat{CED})=360-212[/tex]
= 148°
Tangent - chord theorem states,
"Angle between a chord and tangent measure the half of the angle measure of the intercepted minor arc."
m∠ACD = [tex]\frac{1}{2}(\widehat{CED})[/tex]
= [tex]\frac{1}{2}(148)[/tex]
= 74°
Therefore, measure of ∠ACD is half the measure of arc CD or 74°.
Option (2) will be the correct option.
F/4-5=-9 how do you do this problem
Answer:
F = -16
Step-by-step explanation:
F/4-5=-9
Add 5 to each side
F/4-5+5=-9+5
F/4=-4
Multiply each side by 4
F/4 *4=-4*4
F = -16
Plz help me with this problem guys
what is .6239 as fraction?
Answer:
.6239 as a fraction is 6239/10000.
At 11,560 feet above sea level, Climax, Colorado, is the highest town in the united States. The lowest town in Calipatria, California, at 185 feet below sea level. Express both of these distance as integers and tell which is closer to sea level. How much closer to sea level is the town that is closer?
Answer:
Climax: 11,560. Calipatria: 185 Calipatra is closer by 11,375ft
Step-by-step explanation:
Climax is 11,560ft above sea level, which means it is 11,560ft away from sea level. Calipatria 185ft away from sea level by the same logic. The one whih is closer to sea level would be the smaller number, which would be 185, and how much closer would be 11,560-185= 11,560.
If you're wondering why the 185 isn't negative, it's because the question is asking how far away from zero the numbers are, so you would take the absolute value of -185 which would be 185.
Mary spent $45 at the mall. She bought lunch for $9. She bought 3 shirts at
each. Which of the following equations could be used to find x ?
Answer:
x = 12
Step-by-step explanation:
If Mary spent $45 altogether,
then she bought lunch for $9
so our equation now is
$45 = $9 + 3x
It is 3x because he bought 3 shirts and we used x because we didnt
now how much the price of those shirts were
$45 = $9 +3x
$45 - $9 = 3x
$45 - $9 = $36
$36 = 3x
$36 / 3 = 12
x = 12
Please mark this answer as the brainliest
The question is prime factors of 72. answer:A.3 times 3 times 2 times 2 times 2. answer:B.3 times 3 times 2 times 2 answer:C.3 times 3 times 3 times 2 times 2 times 2. answer:D.7 times 2 times 2.
Answer:answer=A
Step-by-step explanation: 3×3×3×2×2=72
Answer:
YUP THEY RIGHT
Step-by-step explanation:
Please answer this question now
Answer:
m<C = 102°
Step-by-step explanation:
Step 1: find measure of arc BC.
According to the Inscribed angle theorem of a circle, an inscribed angle is half the measure of the arc it intercepts.
m<D intercepts arc ABC
thus, 80° = ½(120+BC)
Solve for BC. Multiply both sides by 2
80*2 = 120 + BC
160 = 120 + BC
BC = 160 - 120 = 40°
Step 2: Find m < A
According to the Inscribed angle theorem, m < A = ½ of arc BCD = ½(40 + 116)
m < A = 78°
Step 3: find m < C
m < A + m < C = 180 (opposite angles of an inscribed quadrilateral are supplementary)
m < C = 180 - 78 = 102°
Find the common ratio of the geometric sequence: 3,4,
16/3,...
A.1
B.3/4
C.4/3
D.-1
Answer:
C
Step-by-step explanation:
The common ratio r of a geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{3}[/tex] → C
Answer:
C)
Step-by-step explanation:
Geometric Sequence:
3, 4 , [tex]\frac{16}{3}[/tex]......
Common ratio = [tex]\frac{second term}{first term}[/tex]
= [tex]\frac{4}{3}[/tex]
