Answer:
[tex]x + 5y = 6[/tex] is perpendicular to [tex]y = 5x + \frac{6}{5}[/tex] and parallel to [tex]y = -\frac{1}{5}x + 2\\[/tex]
Step-by-step explanation:
First, convert the equation to standard form so that y is isolated.
x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> [tex]y = -\frac{1}{5}x + \frac{6}{5}[/tex]
A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).
[tex]-\frac{1}{5}[/tex] is perpendicular to [tex]-(\frac{-5}{1} )[/tex] which simplifies to 5.
A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.
[tex]y = -\frac{1}{5}x + \frac{6}{5}\\[/tex] is parallel to [tex]y = -\frac{1}{5}x + 2\\[/tex] just like [tex]y = -\frac{1}{5}x - \frac{100}{23}[/tex].
A a) Is (x + 4) a factor of (x^ 2 +9x+20)? In other words , does x + 4 divide evenly into x ^ 2 + 9x + 20 ?
Answer:
Yes
Step-by-step explanation:
the factors of (x^ 2 +9x+20) are (x+4)(x+5)
If x is equal to 48 and y is equal to 12 then what is the value of x-4y?
Answer:
0
Step-by-step explanation:
48 - 4(12)
48 - 48 = 0
Answer:
The value of x - 4y would be 0.
Step-by-step explanation:
Since x is equivalent to 48, and y is equivalent to 12, you need to replace x and y with those values in order to solve the expression. [tex]x-4y[/tex] = [tex]48 - 4 * 12[/tex] = [tex]48 - 48[/tex] = 0, so that is the correct answer.
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
, then find m∠Q and m∠S.
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
To Find :-m∠Q and m∠S.
Solution :-According to angle sum property
P∠Q=180−∠P
∠Q=180−108
[tex]\boxed{\sf{\angle Q = 72°}}[/tex]
For angle S
∠S=180−∠R
∠S=180−53
[tex]\boxed{\sf {\angle S = 127°}}[/tex]
[tex]\maltese\bold {lucky75} \maltese[/tex]
Answer:
Step-by-step explanation:
In □PQRS side PQ∥ side RS
so m∠P and m∠S are interior angle pair which add to 180degree
given m∠P = 108degree
m∠S = 180 - 108 = 72degree
similarly m∠R and m∠Qare interior angle pair which add to 180degree
given m∠R = 53degree
m∠S = 180 - 53 = 127degree
What should be the value of a if the value of 2x^2 XA equals to 5 when?
The value of a is -5. All phrases that involve x become zero when we set their value to zero, leaving only constant terms.
The given equation is 2x^2 + x -a = 5.
let's try to understand what is an equation.
An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For example,
The two equations 4x + 56 and 14 are joined by the equal sign to get the equation 4x + 56 = 14. Algebraic equations in mathematics frequently have one or more variables.
There are many different kinds of equations, including cubic, quadratic, and linear equations.
There are many distinct sorts of equations, depending on the degree of the equation.
2x^2 + x -a = 5. put x = 0.
2*0 + 0 - a = 5
0 + 0 -a = 5
-a =5
a = -5.
So the value of a is -5.
Given Question is incomplete complete question here:
What should be the value of a if the value of 2x^2+x - a equals to 5
when x = 0?
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!PLEASE HELP ASAP!
These two figures are similar. Find the length of side x.
the length of side x = 12.5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, we have,
From the given figure, we get.
These two figures are similar.
so, we have,
8/x=y/5 ............(1)
10/15=4/z ......(2)
8/15=y/z .....(3)
Solving we get,
x=12.5
Hence, the length of side x = 12.5.
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Vote you brainlest thanks
Answer:
D 11/18 11:18 11 to 18
Step-by-step explanation:
Because there are eleven technicians, our numerator is 11. Then, because there are 18 total helpers our denominator is 18.
Dulce the dog loves to go on walks.
Each morning she walks for 45 minutes.
She also goes for a 20 minute walk at
lunch, and an evening stroll for 1 hour
and 30 minutes. How long does she
walk each day?
HURRY!!
Jordan made this design from three pieces of square-shaped cloth. What is the total area of the design jordan made? 4cm 6cm 8cm Explain how you found your answer
The design has a total area of 116 cm² when measured using the area of a square.
What is the area?The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.
Create a square on paper by using a pencil.
Two dimensions make it up.
A shape's area on paper is the space it takes up.
Given that a square has equal sides, we can calculate its area as follows:
A = s²
The photograph below illustrates the three square-shaped pieces of fabric that Jordan used to create the design.
Find the area of each square-shaped piece of fabric and add them all up to get the total pattern area.
Inferring the area of a square, the total area would be as follows:
Total Area = 4² + 6² + 8²
Total Area = 116 cm²
Therefore, the design has a total area of 116 cm² when measured using the area of a square.
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What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.
The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
To maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Ultimately, the greatest possible quotient as required is; 25.
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How tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?
Answer: [tex]45.03\ ft[/tex]
Step-by-step explanation:
Given
The length of the shadow is 78 ft
the angle of elevation is [tex]\theta =30^{\circ}[/tex]
Suppose the height of the building is [tex]h[/tex]
From the figure, we can write
[tex]\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft[/tex]
The height of the building is 45.03 ft
 If two parallel lines are cut by non-perpendicular transversal, which type of angles are NOT congruent? (geometry)
Answer:
[tex]{\huge{\underbrace{\overbrace{\color{red}{Answer...}}}}} \\ \\ [/tex]
[tex]\small\boxed{\mathfrak{\underline{Interior \: angles \: are \: not \: congruent}}} \\ \\ {\huge{\underbrace{\overbrace{\color{purple}{hope \: it \: helps... | \: | }}}}} \\ \\ [/tex]
If two parallel lines are cut by non-perpendicular transversal, then the interior alternate angles are NOT congruent.
What is the alternate angles?By the Property of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent. Two angles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
The Exterior angle is an measure of rotation between one extended side
Let assume ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.
From the figure attached, we can see that ∠XWY ≅ ∠ZYW
By this property, Both the Lines are the parallel lines intersected by a transversal.
Therefore, the interior alternate angles ∠XWY and ∠ZYW will be congruent.
Hence, If two parallel lines are cut by non-perpendicular transversal, then the interior alternate angles are NOT congruent.
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What does x = ? Please help meee
Answer:
x= 95 duhhhhhhh lol jk but its 95
Step-by-step explanation:
Answer:
x = 95° by the Vertical Angles are congruent theorem
Hope this helps!
Jason and Marie both travel 300 miles. Jason drove at an average speed of 10 miles per hour faster than Marie and made the trip in one hour less time. Find the average speeds of both cars.
Answer:
jason: 60mph
marie: 50mph
Step-by-step explanation:
let jason drive at x miles per hour
let marie drive at x-10 miles per hour
let jason drive for y hours
let marie drive for y+1 hours
distance = speed * time
for jason:
300 = x * y
for marie:
300 = (x-10) * (y+1) = x*y + x - 10y -10
300 = x*y
divide both sides by x to solve for y
300/x = y
plug this into the second equation
300 = (x-10) * (300/x+1) = 300 -3000/x +x -10
300 = 300 -3000/x +x -10
subtract 300 from both sides
0 = -3000/x + x - 10
multiply both sides by x to get rid of the denominator
0 = x^2 -10x -3000
factor
0 = x^2 - 60x +50x -3000
0 = x(x-60) + 50(x-60) = (x+50)(x-60)
x = 60 or -50
x cannot be negative so x = 60mph
marie = 60-10 = 50mph
What is the sign of the rational number you wrote in part A for Quiana's loan? What does the sign represent?
The question is incomplete. The complete question is :
Quiana’s initial loan amount is -$15,234.68. This is the total amount of money she must pay back to the lender. Part B What is the sign of the rational number you wrote in part A for Quiana’s loan? What does the sign represent?
Solution :
The sign is a negative sign and it represents the money which is debt.
In the question, it is given that Quiana had taken a loan of -$ 15,234.68
This amount of money will be returned to the lender from Quiana which is the debt of Quiana.
The negative sign(-) was inserted before the money that Quiana had borrowed. It represents the money of debt that Quiana owes and this amount is to be returned to the lender by Quiana.
Answer:
Step-by-step explanation:
The sign of the number is negative (-$15,234.68). The negative sign indicates that the loan is a debt. Money will be leaving Quiana’s bank account as she repays the loan.
What is the distance between the following points
Answer:
The answer is the last option
Square root 8
Step-by-step explanation:
Gcse foundation
Help pls.
Answer:
In right angle triangle ,hypotenuse is equal to sum of two other sides.so,
(h)^2=(p)^2+(b)^2
(8)^2=(3)^2+(x)^2
64=9+x^2
64-9=x^2
55=x^2
[tex]\sqrt{55}[/tex]=x
7.4=x
Step-by-step explanation:
An equilateral triangle $ABC$ shares a common side $BC$ with a square $BCDE,$ as pictured. What is the number of degrees in $\angle DAE$ (not pictured)
30° = angle DAE
Step-by-step explanation:
We have ACD with angle ACD = 150°, and because CD = CA, angle CAD and ADC are equal, so angle CAD = [180 -150] / 2 = 30/2 = 15°.
if we draw AE in ABE using the same process, angle EAB = 15°,
so CAB = 60° = angle =CAD + angle DAE + angle EAB
60 = 15 + angle DAE + 15
60 = 30 + angle DAE
30° = angle DAE
Triangle with an equilateral shape. An equilateral triangle is a triangle with all of its sides being the same length. An equilateral triangle, for example, has three sides equal to 5cm. Because the three sides are equal, the three angles opposite the equal sides are equal in size.
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The digits of a two-digit number differ by 3. If digits are interchanged
and the resulting number is added to the original number, we get 121.
Find the original number
Answer:
47
Step-by-step explanation:
4 and 7 have a difference of 3. And if the digits are interchanged, the number is 74
47 + 74 = 121 so 47 is the original number.
Someone please please help me ASAP
No links or files
I will give Brainly
Answer:
1) 6
2) 9
3) improper.
Step-by-step explanation:
I hope this helps!
Answer:
Q2) 9
explanation:6/1 / 2/3
Applying the fractions formula for division,
6 x 3
1 x 2
18/2 simplyfy 9
Q3)improper fraction
A bookstore owner has 15 different books to arrange on the shelves in a display case. Each shelf can display 3 books.In how many different ways can the owner arrange 3 books on the top shelf of the display case
There are 15 different books and 3 each can be arranged on a shelf i.e., there are 15/3 i.e., 5 shelves to arrange the book in the the display case.
How many different ways can you arrange3 books on a shelf?different bundles of novels, and we have to put this bundle and other 3 books onto the shelf. So the total number of ways is 3! × (3 + 1)! = 144.How many ways can you arrange 3 books on a shelf from a group of 7?= 5040 arrangements. Three books that we want together have 3!Therefore, the number of ways in which the 3 letters can be arranged, taken all a time, is 3! = 3*2*1 = 6 ways.A trilogy is a set of three distinct works that are connected and can be seen either as a single work or as three individual works. They are commonly found in literature, film, and video games.When using three shelves, place the middle shelf higher or lower than the one on either side. Five shelves can be staggered with two or three higher than the others, alternating every other shelf for a horizontal groupingTo learn more about arrange3 books on a shelf refers to:
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I f a salesman get salary 1000 per month for selling 100 onion daily .. then what is the price of 1 onion
Answer:
3$
Step-by-step explanation:
∴In 1 day, he sells 100 onions
∴In 30 days, he sells (100×30) onions
=3000 onions
Again,
∴Selling 3000 onions, he gets 1000$
∴Selling 1 onion, he gets (3000÷1000)$
=3$
Hope this helps<3
and pls mark me as brainliest ❤️
show all your working please
Answer:
45 cm²
Step-by-step explanation:
area = ½×11×13×sin 39°
= 71.5 × 0.6294
= 45 cm²
Help me with this ASAP plz!!
Answer:
Rate of change = 2 & Initial value = -1
Evaluate the radical.
(Look at photo)
Enter your answer in the box.
Answer:
the answer of
[tex] \sqrt[3]{216} = 6[/tex]
is 6
Step-by-step explanation:
6^3=216
Which expression is equivalent to (3/4n + 8n + 1/4n - 12)
Answer:
2n - 8 is your answer
Step-by-step explanation:
Aaron has $20. He buys 2 Cokes that each cost $1.50. He also buys a sandwich for $5.50 and a bag of chips that costs $2.25. After Aaron pays for his lunch, how much money does he have left?
Answer:
he has 10.75 left over :)
Answer:
Step-by-step explanation:
20-3-5.50-2.25= $9.25
What is a 120 angle called?
An angle that measures 120 degrees is called an obtuse angle.
An obtuse angle is defined as an angle that measures greater than 90 degrees but less than 180 degrees. It is formed by the intersection of two lines that are not collinear, that is, they do not lie on the same line, and the angle is greater than a right angle but less than a straight angle.
An obtuse angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.
It's important to keep in mind that the term obtuse angle is just a classification based on the measure of the angle, which is greater than 90 degrees but less than 180 degrees, and it's not a specific angle measure, it could be any angle that is in that range.
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Find the area of the shaded sector of the circle.
Answer:
16.74
Step-by-step explanation:
Given that
P
=
x
+
y
.
Find
P
when:
x
=
−
25
and
y
=
−
25
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
the answer would be letter B