Answer:
Answer in explanation.
Step-by-step explanation:
Lets take
[tex]y = \frac{3}{4} x - 5[/tex]
as L1.
Take L2 the line perpendicular to L1.
Standard form of equation of line:
y=mx+c, where m = slope and c = y-intercept.
Since L1 and L2 are perpendicular,
mL1 x mL2 = -1
Substitute mL1 into the equation,
3/4 x mL2 = -1
mL2 = -1 ÷ 3/4
mL2 = -4/3
L2 : y = mx+ c
Substitute y = 6, x = 8 and m = -4/3 into the equation,
[tex]6 = - \frac{4}{3} (8) + c \\ 6 = - \frac{32}{3} + c \\ c = 6 + \frac{32}{3} \\ = 16 \frac{2}{3} [/tex]
therefore L2:
[tex]y = - \frac{4}{3}x + 16 \frac{2}{3} [/tex]
Lets take L3 as the line parallel to L1.
Since L3 and L1 are parallel,
mL3 = mL1 = 3/4
equation of line: y = mx+c
substitute y = 6, x = 8 and m = 3/4 into equation.
[tex]6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\ = 0[/tex]
therefore L3:
[tex]y = \frac{3}{4} x[/tex]
There are 2 sandwiches, 6 drinks, and 1 dessert to choose from. How many lunch specials are possible?
Answer:
24?
Step-by-step explanation:
Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5th the caller will win a music player and every 7th caller will win concert tickets.
You were just the first caller to win both a music player and concert tickets!
What number of caller were you?
Answer:
you are the 35th caller.
Step-by-step explanation:
Multiples of 5: 5,10,15,20,25,30,35,40,45,50
Multiples of 7: 7,14,21,28,35,42,49,56,63,70
Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.
miguel walked 3/4 miles to the library and then 3/8 miles to the post office. Which statement is true?
Answer:
Post office is true because 3/4 miles is 1320 yards and 3/8 is only 660 yards. So basically it will take A LONG TIME for him to get there at the library. But you know I am not always accurate /:
PLEASEEEEEE HELP GUYS!!!!!
HELp giving brainlest and more points
Answer:
[tex]\frac{121}{16}[/tex]
Step-by-step explanation:
[tex](-2\frac{3}{4})^2\\= (-\frac{4\times2+3}{4})^2\\=(-\frac{11}{4})^2\\=\frac{121}{16}[/tex]
Please help me with this equation
2(3y-x)+6=3(2y+2x)-3
2 At the hot dog stand it costs $18.39 for five hot dogs and six bags of chips. If it costs $4.63 for
one hot dog and two bags of chips, how much is a hot dog?
Answer:
$2.25
Step-by-step explanation:
You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.
NEED HELP PLEASE ANSWER FAST AND CORRECT.
Answer:
to prove:
mo=qo (given in the question)
angle m = angle q (given in the question)
angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)
hence they are congruent.
Step-by-step explanation:
hope so its right
mark brainliest
Which proportion can be used to find the height, x, of the building?
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Choose the best decimal to represent 5 3/7
2.3
5.428571
2.3
5.428571
Answer:
5.428571
Step-by-step explanation:
[tex]5\frac{3}{7}[/tex]
take the fraction and divide that:
[tex]\frac{3}{7} =0.428571[/tex]
then just add 5:
5 + 0.428571 = 5.428571
or...
convert the mixed fraction to improper fraction:
[tex]5\frac{3}{7} = \frac{38}{7}[/tex]
divide like normal:
[tex]\frac{38}{7} = 5.428571[/tex]
Which is a diagonal through the interior of the cube?
Find the length of the missing side
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
c² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )
c = [tex]\sqrt{41}[/tex] ← exact solution → C
Janelle made ordered lists of the heights, in inches, of the students in Ms. Carver’s and Mr. Wright’s homerooms. She found the two lists had the same median value, but the list from Ms. Carver’s class showed greater variability. If the shortest student in Mr. Wright’s homeroom is 48 inches tall and the tallest student is 64 inches tall, what could be the heights of the shortest and tallest students in Ms. Carver’s homeroom?
46 inches and 61 inches
47 inches and 66 inches
52 inches and 63 inches
53 inches and 68 inches
Answer:
47 inches and 66 inches
Step-by-step explanation:
took test
What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in
Answer:
FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2
r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared
r = 12 "
area = 4 X pi X 12 X 12 = 576 pi" squared
ANSWER Area will be 4 times the original
Step-by-step explanation:
Answer:
The answer is D. 8.7
Step-by-step explanation:
A=4πr2
Solving fore
r=1
2A
π=1
2·951.1
π≈8.69978in
lol, I'm just kinda slow.
Answer:
understandable
Step-by-step explanation:
Find the new amount if the original amount is 74 degrees and the percent of decrease is 3%. Round to the nearest tenth. Show all work. answer for a brainlist
pls hurry
Answer:
71.8
Step-by-step explanation:
74*0.97=71.78
Rounds up to 71.8
10. The perimeter of a regular nonagon is 162 inches. The apothem is 97.8 inches. Find the area.
Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
[tex]A = \frac{p\cdot a}{2}[/tex] (1)
Where:
[tex]A[/tex] - Area of the regular polygon, in square inches.
[tex]p[/tex] - Perimeter, in inches.
[tex]a[/tex] - Apothem, in inches.
If we know that [tex]p = 162\,in[/tex] and [tex]a = 97.8\,in[/tex], then the area of the regular nonagon is:
[tex]A = 7921.8\,in^{2}[/tex]
The area of the regular nonagon is 7921.8 square inches.
Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.
Answer:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]
Required
Solve
Change / to *
[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]
Factor out 3
[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]
Factorize:
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]
Cancel out 3x + 8
[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]
Factorize:
[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]
Combine
[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]
[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]
Express the numerator as a difference of two squares
[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Hence:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
3.1 Factorise completely
3.1.2 3x2 - 2x - 8
Answer:
3x² – 2x – 8
=> 3x² – 6x + 4x – 8
=> 3x( x – 2 ) + 4( x – 2 )
=> ( 3x + 4 ) ( x – 2 )
Therefore,
Either, 3x + 4 = 0
3x = - 4
x = - 4/3 (Ans)
And,
x – 2 = 0
x = 2 (Ans)
Answer:
(x - 2)(3x + 4)
Step-by-step explanation:
Given
3x² - 2x - 8
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 8 = - 24 and sum = - 2
The factors are - 6 and + 4
Use these factors to split the x- term
3x² - 6x + 4x - 8 ( factor the first/second and third/fourth terms )
= 3x(x - 2) + 4(x - 2) ← factor out (x - 2) from each term
= (x - 2)(3x + 4)
Trigonometry mixed please help
can someone please help me i will mark brainliest
PLEASE HELP RAISING THE POINTS TO 20!!
Answer:
There are two possible values for x.
The function value will be zero for the values of x.
Can someone help me!
Answer:
it might be positive 9 because -5+14=9
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
Points A and B have opposite x-coordinates but the same y-coordinates. On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up. How many units away are each of the points from the y-axis? 2 3 4 5
Answer: 5
Step-by-step explanation: If you take minus 2 and take it to 0 then add 3 you get 5
The points A and B are 2 units away from the y-axis.
What is Cartesian coordinates system?"It is used to specify the location of a point in two-dimensional plane or three-dimensional space.""The cartesian plane is a two-dimensional coordinate plane, formed by the intersection of the x-axis and y-axis."What is the distance of point from Y-axis?"The distance of a point from the Y-axis is its x-coordinate."
For given question,
Points A and B have opposite x-coordinates but the same y-coordinates.
Point A is 2 units to the left and 3 units up.
So the point A has coordinates (-2, 3)
Point B is 2 units to the right and 3 units up.
So the point B has coordinates (2, 3)
We know that the distance of a point from the y - axis is its x-coordinate.
So, the distance of point A from the y-axis is |-2| = 2 units
And the distance of point B from the y-axis is 2 units
Therefore, points A and B are 2 units away from the y-axis.
Learn more about the distance of point from y-axis here:
https://brainly.com/question/16981192
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5 cucumbers for 5.95 find the unit price
Answer:
the unit price for this question is 1.19
Answer:
$1.19
Step-by-step explanation:
5.95/5=1.19
Please help with this
Answer:
6.19
7a.C
7b.Angle AED
7c.Angle 8
7d. Angle 6 and 8
Step-by-step explanation:
6a. The labeled angles are vertical angles so we set them equal to each other.
[tex]7x - 8 = 6x + 11[/tex]
[tex]7x = 6x + 19[/tex]
[tex]x = 19[/tex]
7a.Angle 11 is near Point C so Point C is the vertex.
7b. Angle 5 vertex is E so we can use any 3 points as an angle as long as E is in the middle example, and the angles are on the left side so we can use
[tex]aed[/tex]
Write the angle sign as well.
7c. Angle 6 is vertical from Angle 8.
7d. Angle 7 and 6 form a linear pair and since Angle 6=Angle 8, Angle 7 and 8 form a linear pair as well.
What is L'L?
O 5 units
07.5 units
O 10 units
O 12.5 units
Answer:
12.5
Step-by-step explanation:
The value of LL' is 5 units.
Option A is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down direction.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
ML' = 2.5
Triangle JKL dilated to Triangle J'K'L' with a scale factor of 1/3.
This means,
LL' = (2.5 x 3) - 2.5
LL' = 7.5 - 2.5
LL' = 5
Thus,
LL' is 5 units.
Learn more about translation here:
https://brainly.com/question/12463306
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Find the area of a rectangle with a base of 5 feet and a height of 9.5
feet. *
Answer:
47.5 ft^2
Step-by-step explanation:
5x9.5 = 47.5 ft^2
Please help AP3X Learning
Answer:
D
Step-by-step explanation:
If the exponential model f(x)=9(13)x is written with the base e, it will take the form A0ekx. What is A0 and what is k?
9 × 13ˣ = 9 × exp(ln(13ˣ ))
… = 9 × exp(x ln(13))
… = A₀ × exp(kx)
so that
A₀ = 9
k = ln(13)