Answer:
[tex]13[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 52. The product of the numbers is 4 .And we need to find the sum of reciprocals of the numbers. For that let us assume that the numbers are [tex] x \ \& \ y [/tex] .
According to 1st condition :-
[tex]\implies x + y = 52 [/tex]
Now expressing this equation by keeping only one variable on one side as ,
[tex]\implies x = 52 - y [/tex]
According to 2nd condition :-
[tex]\implies x y = 4 \\\\\implies (52-y)y = 4 \\\\\implies 52 y - y^2 = 4 \\\\\implies y^2 - 52y + 4 = 0 [/tex]
Now solve this quadratic equation.On solving the equation using quadratic Formula we will get the value of y as ,
[tex]\implies y = 26\pm 4\sqrt{42}[/tex]
Note that the sum of x and y is 52 .So in order to find the value of x we will subtract 26±4√42 from 52 and we will get the value of x same as y .[tex]\implies x = 52 - 26\pm 4\sqrt{42} = 26\pm 4\sqrt{42}[/tex]
Now we need to find out the sum of reciprocal of the two numbers . That will be ,
[tex]\implies \dfrac{1}{26+4\sqrt{42}}+ \dfrac{1}{26-4\sqrt{42}} \\\\\implies \dfrac{26+4\sqrt{42}+26-4\sqrt{42}}{(26+4\sqrt{42})(26-4\sqrt{42}}\\\\\implies \dfrac{52}{(26)^2-(4\sqrt{42})^2} \\\\\implies \dfrac{52}{676-672} \\\\\implies \dfrac{52}{ 4} \\\\\implies \boxed{\red{13}}[/tex]
Hence the sum of their reciprocals is 13 .
PLEASE HELP PLEASE HELP
Answer:
B) 24
Step-by-step explanation:
The area of the rectangle is 48 units (8 x 6).
The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.
b = base
h = height
A = [tex]\frac{1}{2}[/tex](6)(8)
A = 24
Answer:
[tex]24[/tex]
Step-by-step explanation:
If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.
NEED ANSWER ASAP
Kennedy needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $58 for parts. The total was $226.75. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Answer:
Equation: 3.75x+58=226.75
Step-by-step explanation:
MARK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZZZZzzAnswer:
Equation: 3.75x + 58 = 226.75
x = 45
Step-by-step explanation:
DeltaMath
y−3x=5 what is m and c
Answer:
✺ [tex] \large \tt \: E \: X\: P\: L\: A \: N \: A \: T \: I \: O\: N : [/tex]
☃ [tex] \large{ \tt{GIVEN \: EQUATION}} : [/tex]
[tex] \large{ \bf{y - 3x = 5}}[/tex]
[tex] \large{ \bf{↬y = 3x + 5}}[/tex] [ Move 3x from left hand side to right hand side and change it's sign to addition since the opposite of subtraction is addition ]
Comparing y = 3x + 5 with equation of straight line in slope intercept from [ y = mx + c ] , We get :[tex] \boxed{ \large \:⟿ \tt \:Slope \: (m) = \boxed{ \tt{3} }}[/tex]
[tex] \boxed{ \large { \tt{⟿ \: Y - intercept \: (c \: ) = \boxed {\tt{ 5}}}}}[/tex]
☏ And we're done! Yay , We found our answer !
♕ [tex] \large{ \tt{STUDY \: TIP}}[/tex]
Schedule daily study time : This is the time to review your readings and lecture notes that help prepare for exams. Plan this as a cumulative review , not working on new information. ♪♡ Hope I helped! ✎
☄ Have a wonderful day / night ! ☂
#StayInAndExplore ! ♨
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
if csc0=5/3 then sec0=
Answer:
5/4
Step-by-step explanation:
i show the explanation in picture
Evaluate 1 - (-3) -5
Answer:
- 1
Step-by-step explanation:
1 - ( - 3 ) - 5
- ) - makes a +
1 + 3 - 5 = 4 - 5 = -1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
hello,
Step-by-step explanation:
negative and negative when we add is + so as 3 will turn into positive ,
1+3= 4
and as -5 is in negative positive + negative is negative , so we need to subtract ,
4-5= -1.
pls ask your doubts if u have, and if u understood my answer mark me the branliest.
Adrian's recipe for cranberry relish calls for 1 3_4cups of sugar. He wants to use 1_2that amount. How much sugar should he use?
Answer:
7/8
Step-by-step explanation:
Andrea recipe for cranberry relish is
1 3/4
= 7/4
He wants to use 1/2 of that amount
Therefore the amount of sugar he should use can be calculated as follows
= 7/4×1/2
= 7/8
PLEASE hello please help i’ll give brainliest
Answer:
A
Step-by-step explanation:
First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9
I do not know what 4/7 divided by 6 is or I'm just trying to check my answer.
Answer:
0.0952
Step-by-step explanation:
I need help on this help pls!
Step-by-step explanation:
Area of rectangle= l x b
= 245 x 245
=60025
Area of triangle = (1/2) x b x h
=(1/2) x 245 x 245
=30012.5
Area of shaded part = Area of rectangle - Area of triangle
=60025 - 30012.5
=30012.5
Consider the diagram.
Which equations are true? Select all true equations.
Answer:
Sum of angles of a triangle is 180, so x + y + w = 180
Straight angle is 180 , so y + z = 180
From the first 2 conditions :
=>x + y +w = y + z
=> x + w = z
Option 1, 2, 5
The equations which are true are given by,
w + x + y = 180w + x + y = 180y + z = w + x + yw + x + y = 180y + z = w + x + yw + x = z What is an Equation?Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.
From angle sum property of triangle says that the sum of all interrior angles of a triangle is 180.
Here all interrior angles of triangle are x,y,w
So, x+y+w = 180
Hence first option is correct.
Again the exterrior angle of a triangle is equal to the sum of the opposite two interrior angles.
here exterrior angle is z and opposite two interrior of z are x,w
So, w+x = z
Hence last option is correct.
Again y+z = y+w+x
so second option is also true.
Hence correct options or equations are given by:
w + x + y = 180w + x + y = 180y + z = w + x + yw + x + y = 180y + z = w + x + yw + x = zLearn more about Equation here -
https://brainly.com/question/13763238
#SPJ2
 someone help on number 2
Answer:D
Step-by-step explanation:
I'm prolly wrong so sorry
Answer:
I think it's 'D'
hopefully it's correct!
Please help!!!!!!!
I will mark the person brainliest who answers with an actual correct answer
Due soon!!
Answer:
1st option is correct
Step-by-step explanation:
Answer:I think its Shannon
Step-by-step explanation:
In New York City, a local park is located at (3,-4). Susan runs from the park to a healthy smoothie spot at (3,4) and then to her house at (0,-1). Represent the locations as points on a coordinate grid with a unit of 1 mile.
A)What is the distance from the local park to the healthy smoothie spot?
B)Find the area of this figure.
Solve the following inequality.
4m + 6 < 2 OR
m+4
> 3
3
m < [?] OR m >[]
Enter
Answer:
[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]
Step-by-step explanation:
Given :-
A linear inequality 4m +6<2We need to find the solution set for the given inequality . So , on solving it , we have ,
[tex]:\implies[/tex] 4m + 6 < 2
[tex]:\implies[/tex] 4m < 2 - 6
[tex]:\implies[/tex] 4m < -4
[tex]:\implies[/tex] m < -4/4
[tex]:\implies[/tex] m < -1
Hence m can have all values less than -1. Therefore the final answer is ,
[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]
Hence m can have all values less than-1.
please help!!
show work(factoring)
u^4 - 3u^2 - 4
QUESTÃO 01
Represente cada multiplicação por meio de uma potenciação.
a) 2 x 2 x 2
b) 5 x 5 x 5 x 5
c) 10 x 10 x 10
d) a x a x a x a x a x a
Responder:
2³
5⁴
10³
a^6
Explicação passo a passo:
Quando um certo valor é multiplicado repetidamente,
Por exemplo,
a * a * a * a = a⁴ (a multiplicado 4 vezes)
Por isso,
2 x 2 x 2 = 2³
5 x 5 x 5 x 5 = 5⁴
10 x 10 x 10 = 10³
a x a x a x a x a x a = a^6
2(a-b)
plz give me answer
Step-by-step explanation:
2(a-b) its yr question2 & (a-b)is in the form of multiplyso, first multiply a by 2 it becomes 2a and - sign is greater so, it will be - as it is then multiply b by 2 it becomes 2bnow write yr ans =2a-2bstay safe healthy and happy.Answer:
2a-2b
Step-by-step explanation:
2(a-b) use distributive property
2a-2b
hope this helped :)
What is the slope of this line? I NEED HELP PLZZ
A 1/2
B-1
C-1/2
D 1
Answer:
1.
Step-by-step explanation:
Take two points off of the line. I will use
(1, -2) and (4, 1).
Put them into the slope formula, which is (refresh if you cannot see.)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values.
[tex]\frac{1-(-2)}{4-1}[/tex]
Subtract both the numerator and the denominator.
[tex]\frac{3}{3}[/tex]
Simplify to get
1.
The slope of the line provided is 1.
A rectangle has an area of 70 m^2 and dimensions, in meters, of x and x + 2. Estimate each dimension of the rectangle to the nearest meter.
-7 and - 9
Step-by-step explanation:
Area of rectangule is length * width
How can 32x6 be distributed
i need help for this questinon
Answer:
A
Explaination: you are just rotating the rhombus
Answer:
a. Rhombus ABDC is congruent to rhombus A'B'C'D
Step-by-step explanation:
the area/angles of ABCD did not change after rotation(becoming A'B'C'D)
**When answering the question, just write the number** THE NUMBERS YOU SEE BELOW ARE 3, 4, 5, and 6!
Answer:
4
Step-by-step explanation:
Volume of cylinder = 2πrh = 2π(4)(6) = 48π
Volume of cone = πr²h/3
Height of cone = √(5² - 3²) = 4
Volume of cone = π(3²)(4)/3 = 12π
Cones to fill cylinder = 48π ÷ 12π = 4
plss helppp some math
Answer:
9x² - 12x + 4
Division Property
Step-by-step explanation:
(3x-2)² = (3x-2)(3x-2)
using the foil method we get:
9x² - 6x - 6x + 4
combine 'like' terms to get:
9x² - 12x + 4
2x = 10 To get 'x' by itself, since it's being multiplied by 2 we must do the inverse operation which is division
If we divide one side of an equation by 2 we must do the same to the other side, giving us:
x = 10/2 which is x = 5
Answer:
Question 5 :[tex]9x^{2} - 12x + 4[/tex]
Question 6 :Division property: divide both sides by 2
Step-by-step explanation:
Question 5 :[tex](3x - 2) ^{2} [/tex]
[tex](3x - 2)(3x - 2)[/tex]
[tex]3x(3x−2)−2(3x−2)[/tex]
[tex]3x(3x)+3x(−2)−2(3x−2)[/tex]
[tex] {9x}^{2} - 6x - 6x + 4[/tex]
[tex]9x^{2} - 12x + 4[/tex]
Question 6 :[tex]2x = 10[/tex]
[tex] \frac{2x}{2} = \frac{10}{2} [/tex][tex]x = \frac{10}{2} [/tex][tex]x = 5[/tex]
Hope it is helpful....The Stewart family is building a circular swimming pool if the radius of the pool is 10 feet what is its circumference use pi equals 3.14 to solve.
Answer:
if you solve the question please i request you please read the question carefully after solve the question
Plant A is 14 inches tall and growing at a rate of 0.5 (½) inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height?
Answer:
They will both have a height of 16 inches in 4 days.
Step-by-step explanation:
Hope this helps :D
money is invested in a saving account at 12% simple interest.after one year there is $1680 in the account. how much was originally invested?
Answer:
it is eightyseven money
question is in the screenshot below
the equation for the ellipse given is 4x^2+9y^2-16x+18y-11
Answer:
a. a = 3, b = 2
b. The coordinate of the center is (2, -1)
c. The eccentricity of the ellipse is √5/3
d. Please see attached graph of the ellipse created with MS Excel
Step-by-step explanation:
7. a. The given equation of the ellipse is presented as follows;
4·x² + 9·y² - 16·x + 18·y - 11
The general equation of an ellipse
[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
We can write;
4·x² - 16·x + 9·y² + 18·y - 11
4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) - 25 - 11
4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) = 25 + 11 = 36
4·(x - 2)² + 9·(y + 1)² = 36
[tex]\dfrac{4\cdot (x - 2)^2}{36} + \dfrac{9 \cdot (y + 1)^2}{36} = \dfrac{36}{36}[/tex]
[tex]\therefore \dfrac{ (x - 2)^2}{9} + \dfrac{ (y + 1)^2}{4} = \dfrac{ (x - 2)^2}{3^2} + \dfrac{ (y + 1)^2}{2^2} = 1[/tex]
By comparison, a = 3, b = 2, h = 2, k = -1
b. The coordinate of the center, (h, k) = (2, -1)
c. The eccentricity of the ellipse = c/a
c² = a² - b²
∴ c² = 3² - 2² = 5
c = √5
Eccentricity = √5/3
d. Please find attached the graph of the ellipse created with MS Excel
What is the equation of the line that passes through the point (2,-2) and has a
slope of -1/2?
Answer:
y = -1/2x - 1
Step-by-step explanation:
We can use the point-slope form of the equation:
y-y1 = m(x-x1)
Where the given y1 = -2, x1 = 2, and m = -1/2. This yields:
y - (-2) = -1/2(x - 2)
y + 2 = -1/2x + 1
y = -1/2x +1 - 2
y = -1/2x - 1
An expression is shown below:
2x3y + 18xy - 10x²y - 90y
Part A: Rewrite the expression so that ONLY the GCF is factored out. (4 points)
Part B: Rewrite the expression completely factored by using group factoring. Show the steps of your work. (6 points)