9514 1404 393
Answer:
3
Step-by-step explanation:
The radicals get in the way a bit, so we can define ...
x = √p
y = √q
Then the equation is ...
(x +y)/(1-x) = (4x+y)/(1-x^2)
Multiplying by (1-x^2), we have ...
(x +y)(1 +x) = 4x +y . . . . . . using 1-x^2 = (1-x)(1+x) the 1-x factor cancels
x^2 +xy +x +y = 4x +y . . . eliminate parentheses
x(x +y) = 3x . . . . . . . subtract (x+y)
x +y = 3 . . . . . . . . . . divide by x
This is the sum we're looking for:
√p +√q = 3
Answer: The answer is 3
Step-by-step explanation:
Find an ordered pair (x,y) that is a solution to the equation.
x-2y=6
[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given linear equⁿ : x - 2y = 6 .
So , on drawing its graph , the points though which it passes , the coordinates of that particular point will be a solution for this linear equⁿ .
Here , taking the given equⁿ & drawing its graph ,
⇒ x - 2y = 6 .
⇒ x = 6 + 2y .
Now , for a given value of y , x will also have some values .
[tex]\boxed{\begin{tabular}{|c|c|c|}\cline{1-3} \bf x & 6 & 8 \\ \cline{1-3} \bf y & 0 & 1 \\\cline{1-3} \end{tabular}}[/tex]
Now , it's clear that the required order pair which will be solution of the equⁿ can be ( 6 , 0 ) or ( 8 , 1 ) . But since it is a straight line it will have infinite number of solutions .
[ Also Refer to graph in the attachment ]
The ordered pair which will be the solution of the equation can be ( 6, 0 ) or ( 8, 1 ).
Given that,
Equation; [tex]\rm x-2y =6[/tex]
We have to determine,
An ordered pair (x, y) is a solution to the equation?
According to the question,
An ordered pair refers to a number written in a certain order. An ordered pair is used to show the position on a graph,
Where the "x" (horizontal) value is first, and the "y" (vertical) value is second. Also in the co-ordinate system, ordered pair is used to locate a point.
The points through which it passes, the coordinates of that particular point will be a solution for this linear equation.
Here, taking the given equation & drawing its graph,
Equation; [tex]\rm x-2y =6[/tex]
The equation can also be written as,
[tex]\rm x-2y =6\\\\x = 6+2y[/tex]
An ordered pair of the solution is found when substitute y = 0,
[tex]\rm x = 6+2y \\\\x= 6+2(0)\\\\x = 6+0\\\\x = 6[/tex]
And another ordered pair of the solution is found when substitute y = 1,
[tex]\rm x = 6+2y \\\\x= 6+2(1)\\\\x = 6+2\\\\x = 8[/tex]
Hence, the required order pair which will be the solution of the equation can be ( 6, 0 ) or ( 8, 1 ).
For more details refer to the link given below.
https://brainly.com/question/12926248
MARKING BRAINLIEST, PLEASE HELP.
In order for the picture frame to fit together where both pairs of opposite sides are parallel, what must the sum of x and y be?
Answer:
360 degrees
Step-by-step explanation:
a rectangle has a total of 360 degrees and all the x and y values are at the corners so...
In the diagram below of AACD, DB is a median to AC, and AB = DB.
D
A
B
c
If mZDAB = 32°, what is mZBDC?
(1) 320
(3) 58°
(2) 520
(4) 64°
Answer:
it will be (3)
Step-by-step explanation:
since DB is a median
then DB= half AC , AB=BC
then AB=BD
then the two triangles are isosceles
The required m∠BDC is 32° .
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
According to the given question ;
DB is a median;
By the symmetry ;
Then DB = half AC ,
= AB = BC
Then= AB = BD
In a triangle, a line that connects one corner (or vertices ) to the middle point of the opposite side is called a median. A property of isosceles triangles, which is simple to prove using triangle congruence, is that in an isosceles triangle the median to the base is perpendicular to the base.
Then the two triangles are isosceles.
Means m∠DAB = m∠BDC = 32°
For the more information about the properties of isosceles triangle click the link given below.
https://brainly.in/question/13106654
A group of 700 students took a survey. about 85% said they use tolls like email the rest said the dont. what is the ratio to the number of students who said they do than not
log 8-log 4/log 4-log 2
Answer:
-0.39794000867
Step-by-step explanation:
This is the table in which we can see the values of two squared, two cubed, and so on. This is an operation in mathematics, known as exponentiation. If we look at the numbers at the bottom line, we can try to find the power value to which 2 must be raised to get this number. For example, to get 16, it is necessary to raise two to the fourth power. And to get a 64, you need to raise two to the sixth power. Also this is totally the answer
Answer:
1
Step-by-step explanation:
[tex]\frac{log_{10}(2) }{log_{10}(4)-log_{10}(2) }[/tex]
[tex]\frac{log_{10}(2)}{2log_{10}(2)-log_{10}(2) }[/tex]
Add similar elements [tex]\frac{log_{10}(2) }{log_{10}(2) }[/tex]
Apply rule [tex]\frac{a}{a}=1[/tex]
=1
:)Hope you enjoy this:)help please order the temperatures from least to greatest !
-0.8 C
-1.2 C
0.5 C
- 2.0 C
0.8 C
The number of fish in a lake triples every 5 years. is It linear or exponential
Answer:
This would be linear.
Step-by-step explanation:
Linear would be multiplying by a number.
Exponential would be multiplying to a power.
what is the value of the power a if 5a = 1/125?
Answer:
If
5
a
=
1
125
, find the value of a?
Step-by-step explanation:
There is a base f
5
on the left side, so write the denominator on the right as a base of
5
as well.
5
a
=
1
125
5
a
=
1
5
3
Move the base to the numerator.
5
a
=
5
−
3
If the bases are equal, the indices are equal:
∴
a
=
−
3
Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.
Answer:
Circumference of the circle = 17.8 units
Area of the circle = 25.1 square unit
Step-by-step explanation:
Formula to get the circumference of a circle = 2πr
Where r = radius of the circle
Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)
r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]
r = [tex]2\sqrt{2}[/tex] units
Therefore, circumference = 2π(2√2)
= 17.77
≈ 17.8 units
Area of the circle = πr²
= π(2√2)²
= 8π
= 25.13
≈ 25.1 square unit
6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)
Answer:
5(8x + 6y), 10(4x + 3y), 2(20x + 15y)
Step-by-step explanation:
(5x *8) + (5x *6) = 40x + 30x no
(5 * 8x) + (5 *6y) = 40x + 30y yes
10*40x + 10*30y = 400x + 300y no
10*4x + 10*3y = 40x + 30y yes
2y *20x + 2y*15 = 40xy + 30y no
2*20x + 2*15y = 40x + 30y yes
The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.
Given :
Expression -- (40x + 30y)
The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):
Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).
Step 2 - Take the 10 common in the given expression.
= 40x + 30y
= 10(4x + 3y)
Step 3 - Also can take 2 common in the given expression.
= 40x + 30y
= 2(20x + 15y)
Therefore, the correct option is D) and F).
For more information, refer to the link given below:
https://brainly.com/question/25834626
7. 2y + 13.2 =78
у =
Step-by-step explanation:
I hope it will help you here's the answer
What do the two lines in the graph below have in common?
Answer: Parallel and same slope
Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.
branliest plssss :)
13. Belle is buying pizzas for her daughter's birthday party, using the prices in the table. Which
equation best describes the relationship between the total cost c and the number of pizzas p?
Pizzas
Total Cost ($)
5
26.25
10
52.50
15
78.75
a) c = 26.25p
c) c = 5.25p
b) c = p + 26.25
d) c = 6p - 3.75
walking at a speed of 12 feet per second. How many feet per hour is this? *
Answer:
43200 feet per hour
Step-by-step explanation:
Worth 30 points.
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
the square root of x minus 3 plus five equals x.
Picture of question and equation attached.
Answer:
x=7 valid solution
x=4 extraneous solution
Step-by-step explanation:
sqrt( x-3) +5 = x
Subtract 5 from each side
sqrt( x-3) +5 -5= x-5
sqrt( x-3) = x-5
Square each side
(sqrt( x-3))^2 = (x-5)^2
Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25
x-3 = x^2 -10x+25
Subtract x from each side
-3 = x^2 -10x -x+25
Add 3 to each side
0 = x^2 -11x +25 +3
0 = x^2 -11x+28
Factor
0 = (x-7)(x-4)
Using the zero product property
x-7 =0 x-4=0
x=7 x=4
Check the solutions
sqrt( x-3) +5 = x
x=7
sqrt( 7-3) +5 = 7
sqrt(4) +5 = 7
2 +5 = 7 valid solution
x=4
sqrt( 4-3) +5 = 4
sqrt(1) +5 = 4
1 +5 = 4 not true extraneous solution
simply the following (z⁵)²
Answer:
Z^10
Step-by-step explanation:
Answer:
multiply 5*2=10
your answer will be =z^10
Step-by-step explanation:
determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?
Answer:
$60
Step-by-step explanation:
180/3 = 60
I hope this helps :)
Answer:60 per hour
Step-by-step explanation: you divide 180 by 3
how do i graph 2x+4y=12
Answer:
(0,3) (6,0)
Step-by-step explanation:
A store is marking down the price of a television 25% from the original price of $250 which expression can be used to find the markdown price
Answer:
62.5%
Step-by-step explanation:
Thw price markdown will be 62.5%
Answer a I think
Step-by-step explanation:
How to solve 240=-16 Equation
no idea
Step-by-step explanation:
u can use google for this if u r in hurry
Which one?
A or B?
I don’t get it . I need help please!
Answer:
You need to solve it like a rectangle
Scale 1cm = 30Yd
Formula = A=lxw
Length = 7x30=210yd
Height = 4x30=120yd
Answer 120x210= 25,200 sq. yd.
Right, make sense?
Answer:
25200 square yards
Step-by-step explanation:
Reminder: the area of a parallelogram is its length times its height. In that case, it would be 4cm*7cm.
But you have to remember that 1 cm represents 30 yards, so you have to multiply everything by 30 first, and then solve:
4*30 yards * 7*30 yards
= 120 yards * 210 yards
= 25200 square yards.
What is the slope of a line parallel to the line whose equation is 6x-y=1. Fully reduce your answer.
Answer:
0, -1
1, 5
(Hope it helped)
Answer:
I believe the slope is 6
Step-by-step explanation:
6x - y = 1
- y = - 6x + 1
-1 ( - y = - 6x + 1)
y = 6x + 1
6 = slope
solve x²-24x+14=0 by completing the square. what are the solutions
Answer:
x=±√130+12
I believe :-)
how to find the sequence
X. Y
0. 0
1. 1.5
2. 4
3. 7.5
4. 12
Answer:
they add one half to each number
PLEASE HELP W MY MATH FINAL! NO EXPLANATION NEEDED :))
TY
Answer:
nothing in the first blank +3 or 3 in the second blank and +1 or 1 in the last blank
Step-by-step explanation:
Rasu made some chocolate milk. She added 3 tsp. Of cocoa mix with 2 cups of milk. Farah also made some chocolate milk. She added 5 tsp. Of cocoa mix to 3 cups of milk. Which mixture is more chocolatey flavored (stronger chocolate flavor)? Explain your reasoning.
The correct answer is Farah's mixture
Explanation:
In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.
Rasu:
Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2 or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.
Farah:
The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.
50 points plus Brainnlest for right answer
What is the equation?
What should you replace for each given variable?
What should you solve for?
Equations: 60x + 3000 = 3,000, 600 + 150y = 3000
X: 20
Y: 10
You should solve for x & y
Q1: 0, it's already filled up to the max of 3000 pounds.
Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16
I hope this helped, ask if you need more help :)
Which steps should be followed to write an equivalent ratio to find 2% of 6700? Write 2% as the ratio StartFraction 200 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (20)(67) = 1340. Write 2% as the ratio StartFraction 20 Over 100 EndFraction. Write the equivalent ratio StartFraction 6700 Over question mark EndFraction. (20)(335) = 6700, so (100)(335) = 33,500. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (2)(67) = 134. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(6.7) = 6700, so (20)(6.7) = 13.4
Answer:
Step-by-step explanation:
To evaluate the expression 2% 0f 6700, we can follow the steps;
2% = 2/100
6700 = 67(100)
2% of 6700 = 2/100 * 67(100)
The 10 at the numerator will cancel out that at the denominator
2/100 * 67(100) = 2(67)
2(67) = 134
Answer:
Write 2% as the ratio 2/100. Write the equivalent ratio_?_ . (100)(67)= 6700, so (2)(67)=134
6700
Step-by-step explanation: Just did it on edg 2020. IF THIS HELPS IT IS C.
Which set of side lengths form a right triangle?
a.) 2 inches, 3 inches, 4 inches
b.) 6 inches, 8 inches, 10 inches
c.) 8 inches, 9 inches, 11 inches
d.) 10 inches, 12 inches, 13 inches