Answer: -x - 5y + 19 = 0, choice A
All we're doing is adding 19 to both sides to get everything on the same side.
General form is Ax+By+C = 0. Some books use Ax+By = C which is just a variation of the same idea.
URGENT! Please help me solve this question with full solutions
Answer: C) 2/3
========================================================
Explanation:
Let's cross multiply and then get everything to one side
x/(2x-1) = (2x+1)/(x+2)
x(x+2) = (2x-1)(2x+1)
x^2+2x = 4x^2-1
0 = 4x^2-1-x^2-2x
0 = 3x^2-2x-1
3x^2-2x-1 = 0 .... see note below
x^2-(2/3)x-1/3 = 0
In that last step, I divided everything by the leading coefficient 3. That way, the leading coefficient becomes 1.
It turns out that anything in the form x^2-px+q has roots m and n such that
p = m+n
q = m*n
In short, the roots add to the negative of the middle coefficient, and they also multiply to the constant term. Again this only applies to quadratics where the leading coefficient is 1.
Comparing x^2-(2/3)x-1/3 with the form x^2-px+q, we see that
p = 2/3
q = -1/3
Therefore, p = m+n = 2/3
If you're curious why this works, it's because (x+a)(x+b) expands out to x^2+(a+b)x+ab, and note how the roots here are x = -a and x = -b.
-------------------------
Note: Another route would be to solve 3x^2-2x-1 = 0 for x using any method you prefer (I recommend the quadratic formula). You would get the two solutions x = -1/3 and x = 1. They add to (-1/3)+1 = (-1/3) + (3/3) = (-1+3)/3 = 2/3.
7.
Which point on the number line best represents the location of V92?
Q
MN
.
P
ta
8
9
10
A.
Point M
B. Point N
C.
Point P
D. Point Q
Answer:
C. Point P
Step-by-step explanation:
sqrt(92) = 9.59
The point closest to 9.59 is point P.
.Write a division equation so that it has a solution of -2
Point R is on line segment \overline{QS} QS . Given QR=4,QR=4, QS=4x,QS=4x, and RS=5x-9,RS=5x−9, determine the numerical length of \overline{RS}. RS .
Answer:
RS = 16
Step-by-step explanation:
The segment addition theorem tells you ...
QR +RS = QS
4 + (5x-9) = 4x
x = 5 . . . . . . . . . . . add 5-4x
Then the length of RS is ...
RS = 5(5) -9
RS = 16
39. If you run at an average speed of 10 mi/h, how long will it take you to run 2.5 miles?
Answer:
25 mph
Step-by-step explanation:
Because you know mi/h means the miles PER hours, and we know that when we see the word "per" we're dealing with a rate. What we have to do here, is multiply 10(mph) is like the average, or limit. So if I'm running 2.5 miles I multiply 10 x 2.5 to get 25.
Or just move the decimal point one space because of the zero in 10.
Hope this helps, and have a great day!
If i run at an average speed of 10 mi/h, the time needed for me to run 2.5 miles is, 0.25 hour
What is the relation between time, distance & speed ?The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.
Distance = Time × Speed
Given that,
An average speed = 10 mi/h,
If distance travelled = 2.5 miles
Time needed = ?
Time needed = Distance/Speed
= 2.5 / 10
= 0.25
Hence, The time needed is 0.25 hour
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Which expression is represented by the diagram?
Answer:
Its A.
Step-by-step explanation:
hope this helps.
The expression which is represented by the graph will be -6 -(-1) so the correct option will be (A).
What is the expression?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In given figure the, one box represents -1
Now there are total 6 box = -1 times 6 = -6
Now the last box is removed it means it should be subtracted from all the box
-6 - ( One box) = -6 -(-1) hence option A will be correct.
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Kevin went to see his favorite sports team play his car can go 320 miles on one lank of gas. If he used 20% of a full tank of gas, how many miles did he travel?
Answer:
64 miles
Step-by-step explanation:
If he used 20% of the gas, he can go 20% of the miles
20% of 320 miles
.20 * 320
64 miles
Answer:
[tex]\huge\boxed{\sf 64\ miles}[/tex]
Step-by-step explanation:
A total tank travels to 320 miles
Let the miles be x
He used 20% of the full tank
=> 20% of the full tank = x
=> [tex]\frac{20}{100} * 320 = x[/tex]
=> 2 * 32 = x
=> x = 64 miles
So, He traveled 64 miles in 20% of the tank.
Determine the value of g-1(4).
help with this plz
Answer:
g-1(4)=-5
Step-by-step explanation:
because inverse mean that you will switch every x and y on the original graph
for example; point( 4,-2) inverse will be (-2,4)
so to find x=4 on the inverse than just find y=4 on the origin graph
HELP ASAP!!!!! The expression 300n gives the number of 2.) calories in n cups of dry oatmeal. What is the number in 2 ¼ cups of dry oatmeal? (hint: just multiply)
Answer:
675 calories
Step-by-step explanation:
I don't know about you but for me it's easier to multiply with decimals. I turned 2 1/4 to 2.25 and because n is right next to 300 we multiply (2.25 x 300) to get 675.
Hope that helps, and have a great day!
if EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH
Given:
Consider the below figure attached with this question.
∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°
To find:
The measure of ∠EFH.
Solution:
From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,
[tex]\angle EFG=\angle EFH+\angle HFG[/tex]
[tex]18x+11=(5x+1)+(62)[/tex]
[tex]18x+11=5x+63[/tex]
Isolate variable terms.
[tex]18x-5x=63-11[/tex]
[tex]13x=52[/tex]
Divide both sides by 13.
[tex]x=\dfrac{52}{13}[/tex]
[tex]x=4[/tex]
The value of x is 4.
[tex]\angle EFH=(5x+1)^\circ[/tex]
[tex]\angle EFH=(5(4)+1)^\circ[/tex]
[tex]\angle EFH=(20+1)^\circ[/tex]
[tex]\angle EFH=21^\circ[/tex]
Therefore, the measure of ∠EFH is 21°.
Evaluate the stacked function machines for an input of 21*
Can someone please tell me how to simplify [tex](2r^2t/4t^2)^2[/tex], please?
find tangent and explain the process
Answer:
A
Step-by-step explanation:
So we want to find the tangent of Angle QSR.
First, note that Angle QSR and Angle TSQ forms a supplementary angle. Thus:
[tex]QSR+TSQ=180[/tex]
We already know that TSQ is 150, thus:
[tex]QSR+150=180[/tex]
Subtract:
[tex]QSR=30[/tex]
So, QSR is 30 degrees.
Find tangent of 30 degrees.
[tex]\tan(30)[/tex]
1) If you know the unit circle:
At 30 degrees, our coordinate is:
[tex](\frac{\sqrt3}{2},\frac{1}{2}})[/tex]
So, our answer would be:
[tex]\tan(30)=\frac{\frac{1}{2}}{\frac{\sqrt3}{2}}[/tex]
Simplify:
[tex]\tan(30)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
2) If you don't know the unit circle.
Recall that 30-60-90 is a special right triangle.
The side opposite to 30 is x, the side adjacent to 30 is x√3, and the hypotenuse is 2x.
Therefore, tangent of 30 is opposite over adjacent. Thus:
[tex]\tan(30)=opp/adj[/tex]
Substitute x for opposite and x√3 for adjacent. Thus:
[tex]\tan(30)=\frac{x}{x\sqrt3}[/tex]
Remove the x:
[tex]\tan(30)=\frac{1}{\sqrt3}[/tex]
Multiply both layers by √3. So:
[tex]\tan(30)=\frac{1}{\sqrt3}=\frac{\sqrt3}{3}[/tex]
Our answer is A :)
Complete the explanation for why 2−3 is the same as 1 23 . Look at the pattern below. As the exponent goes down by , the value is of what it was before. 23 = 8, 22 = 4, 21 = 2, 20 = 1, x−x = 1 2 , x−x = 1 4 , x−x = 1 8 = 1 23
[tex]2^{-3}[/tex] is the same as [tex]\frac{1}{2^3}[/tex] because of the rule [tex]x^{-k} = \frac{1}{x^k}[/tex]
The negative exponent says to take the reciprocal of the base to make the exponent positive. The original base is 2, of which the reciprocal is 1/2.
What is the value of y? Find the following angle measures. m
Answer:
10
Step-by-step explanation:
(10y+6) + (8y-6) =180
18y=180
y=10
JKM=10y+6=10(10)+6=106
MKL=8y-6=8(10)-6=74
Answer:
Step-by-step explanation:
10y+6+8y-6=180
then,y=10
therefore,
angle(JKM)=106
angle(MKL)=74
WILL GIVE BRIANLIEST!!!!!!!!!!!!!!!!!!!!! picture down below ↓↓↓↓↓↓
Answer:
C
Step-by-step explanation:
A and c are parallel
B and d are parallel
A and c are intersecting
1. Analyze Identify the relevant concepts. Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents. Solve Apply the concepts to this problem. Set up the problem. (__X 10^30) ÷ (__X 10^-2), Divide the coefficients. (__÷1.5) = ___,Then subtract the exponents. 10^30÷10^-2)=10^30-(-2), Combine the results of the two operations. (2.0 X 10^30) + (1.5 X 10^-2) = __X___, The star's mass is _________.
2. What is the mass of a star that is equal to the sun's mass divided by 1.5×10^-2? The sun's mass is 2.0×10^30 kg. Express the answer in Scientific notation. ASAP PLEASE!!
Answer:
1. The star's mass is 1.3 x 10^32 kg.
2. The star's mass is 1.3 x 10^32 kg.
Step-by-step explanation:
1.
Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents.
let The sun's mass is 2.0×10^30 kg.
and the coefficient = 1.5x10^-2
divide the coefficients
2.0 ÷ 1.5 = 1.3
Then subtract the exponents.
= 10^30 - 10^-2
= 30 - (-2)
= 32
Combine the results of the two operations
= 1.3 and x 10^32
= 1.3 x 10^32
therefore,
The star's mass is 1.3 x 10^32 kg
===============================
2.
given:
The sun's mass is 2.0×10^30 kg.
mass of a star = sun's mass divided by 1.5×10^-2 kg
find:
Express the answer in Scientific notation.
mass of a star = 2.0×10^30 kg
1.5×10^-2 kg
mass of a star = 1.3 X 10^32 kg
therefore,
The star's mass is 1.3 x 10^32 kg
===============================
Answer:
1. The star's mass is 1.3 x 10^32 kg.
2. The star's mass is 1.3 x 10^32 kg.
Step-by-step explanation:
i got them right on my quiz
One month Abdul rented 3 movies and 5 video games for a total of . The next month he rented 6 movies and 2 video games for a total of $18 . Find the rental cost for each movie and each video game.
Answer:
Video Games = $5.25
Movies = $1.25
Step-by-step explanation:
(3x + 5y = 30)2
6x + 2y = 18
Video Games (y) = 5.25
6x + 10y = 60
- 6x + 2y = 18
(8y)/8 = (42)/8
6x + 2(5.25) = 18
6x + 10.5 = 18
6x = 7.5
x = 1.25
Double Check by plugging in the numbers
look at image. reflection across x=1
Answer:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
Step-by-step explanation:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
Answer:
C 4,3 A 2,-5 B 1,4
Step-by-step explanation:
Determine the slope of the line passing through the points (9,8) and (1,3).
slope =
Answer:
5/8
Step-by-step explanation:
slope: (y₂ - y₁) / (x₂ - x₁)
(3 - 8) / (1 - 9) = -5/-8 = 5/8
Answer:
m= 5/8
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points given are: (1,3) and (9,8). Therefore,
[tex]x_{1}=1 \\y_{1}=3 \\x_{2}=9 \\y_{2}=8[/tex]
Substitute the values into the formula.
[tex]m=\frac{8-3}{9-1}[/tex]
Perform the operation in the numerator. Subtract 3 from 8.
[tex]m=\frac{5}{9-1}[/tex]
Perform the operation in the denominator. Subtract 1 from 9.
[tex]m= \frac{5}{8}[/tex]
The slope of the line is 5/8
please help me its due soon
Answer:
it is 17.2 + 16.4
Step-by-step explanation:
because 8.6x2= 17.2
then 5.2x2=10.4
then 3+3=6
lastly 10.4+6= 16.4
so that makes it 17.2+16.4
PLZ ANSWER ASAP. DUE IN 1 HOUR. DIRECTIONS ARE ON THE SCREENSHOT
Answer:
DBH is an obtuse angle.
Step-by-step explanation:
D is around the 15 degree mark. h is around the 144 degree mark. Subtract 15 by 15 and 144 by 15 degrees, so that way angle D would be on the 0. You would get 129 degrees, which still makes it obtuse because is greater than 90 degrees
I hope this helps
Boris downloads a 140MB file from the internet. He downloads 60% of the file in 2 minutes, how many megabytes (MB) of the file has he downloaded?
Answer:
84 MB
Step-by-step explanation:
60% of 140 MB is:
140*60/100 = 84 MBBoris has downloaded 84 MB in 2 minutes
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
midpoint (-5,18), endpoint (3,13)
Answer:
Hey there!
If the midpoint is (-5, 18) and the endpoint is (3, 13) the other endpoint is (-13, 23)
Let me know if this helps :)
15 - [10 + (3 - 2)2] + 6
Answer:
9
Step-by-step explanation:
Use PEMDAS
Parentheses (Bracketts go after parentheses but are not included in PEMDAS)
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
3
Step-by-step explanation: 15-(10+(3-2)2)+6
3-2=1x2=2+10=12 15-12=3
Find the Greatest Common Factor between 42 and 45
Answer:
3
Step-by-step explanation:
The Greatest Common Factor between 42 and 45 is 3.
What is The Greatest Common Factor (GCF)?Greatest Common Factor of two or more numbers is defined as the largest number that is a factor of all the numbers.
Given two numbers are 42 and 45,
42 = 7*2*3
45 = 5*3*3
GCF = 3
Hence, The Greatest Common Factor between 42 and 45 is 3.
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This question is confusing. Please help me!
Answer:
(A) y - x
Step-by-step explanation:
Finding a:
ax + x² = y² - ayax + ay = y² - x²a(x+y)= (y+x)(y-x)a = y - xCorrect choice is (A)
What is the smallest power of 10 that would exceed 999,999,999,991
Answer:
Answer is 10^11 is the smallest power that would exceed 999,999,999,991
Answer:
10 to the power of 13 or 10^13
Which expression is equivalent to 8 + n? 8n n - 8 n + 8 n = 8
Answer:
n+8
Step-by-step explanation:
8n=8(n)
n-8=n-8 (Since there is no commutative property in subtraction)
n=8 means 8=n
n+8=8+n
Because of commutative property in addition.
Hope this helps ;) ❤❤❤
Can anyone Help please.
Answer:
D
Step-by-step explanation:
The remaining material can be calculated as
volume of larger cube - volume of smaller cube
= a³ - b³ ← difference of cubes which factors in general as
= (a - b)(a² + ab + b²) → D