Prerequisites :-
1) The product of slope of two perpendicular lines is-1 .
2) The slope of two parallel lines is same .
Given two lines to us are ,
[tex] y = 3x - 4 [/tex]This line is in slope intercept form which is [tex] y = mx + c [/tex] . Comparing to which we get ,
[tex] m_1 = 3 [/tex]Again , the second line given to us is ,
[tex] 3x + 9y = 18 [/tex]Convert it into slope intercept form , we have ,
[tex]\implies 3( x + 3y ) = 18 [/tex]
Divide both sides by 3 ,
[tex]\implies x + 3y = 6 [/tex]
Solve for y ,
[tex]\implies y = \dfrac{-x}{3} + 2 [/tex]
On comparing to the slope intercept form ,
[tex] m_2 = \dfrac{-1}{3}[/tex]And the product both the slopes is ,
[tex]\implies m_1 \times m_2 = \dfrac{-1}{3}\times 3 =\boxed{\red{-1}}[/tex]
Hence the given two lines are perpendicular .
Square root 2x + 3 equals X
The table below shows the number of people, y, who ride a roller coaster at a theme park over a certain number of hours, x, during a day. Write an equation that represents the relationship between the number of people that ride a roller coaster in terms of the time, in hours, as shown in the table. Use the on-screen keyboard to type the correct equation in the box.
Answer:
y = 350x
Step-by-step explanation:
To find the equation of the chart, we simply find the slope and then follow the slope-intercept equation.
Points on the chart: (0, 0) and (1.5, 525)
Slope:
m=(y2-y1)/(x2-x1)
m=(525-0)/(1.5-0)
m=525/1.5
m = 350
Slope-intercept:
y - y1 = m(x - x1)
y - 0 = 350(x - 0)
y - 0 = 350x
y = 350x
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answer:A
Step-by-step explanation:
● Alternate interior angles are always equal.
How are other options incorrect?Angles given in option A are forming linear pair.Angles given in option B are too forming a linear pair.Angles given in option D are corresponding angles.A graph shows the survey results for a group of students who
were asked how many honors classes they have taken and
how many elective classes:
Class Choices
Number of Elective Classes
0
lo 1 2 3
4
5 6 7 8
9 10 11
Number of Honors Classes
How many elective classes would students likely have taken if
they have taken 12 honors classes? (4 points)
I need to know what one to pick I will send an image to go with it
Answer: um do you need help because I don’t see the question or the picture you are talking about..
Step-by-step explanation:
PLEASE HELP ASAPPPP!!
question: write in standard form.
2x^2+x^3-3+4x^5
Answer:
+4X^5+X^3+2X^2-3
Step-by-step explanation:
Hope this helps :*
A die with 8 sides is rolled. What is the probability of rolling a number less than 3
Answer: 6/8
simplify by 2 and you get 3/4 your answer is 3/4
Step-by-step explanation:
what is the x-intercept?
Answer:
-2
Step-by-step explanation:
I'm not 100% sure but...
The x-intercept is when the y is 0.
And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.
Find the area of the figure to the nearest thousandth.
Answer: 225
basically 15 times 15 is 225 and thats how you do the problem
Answer:
236.625
Step-by-step explanation:
Trust me I had the same problem .
Hey : please help no fake anwsers : I’ll mark you brainliest :3
Answer:
320units²
Step-by-step explanation:
one half triangle
area =1/2bh
area of the triangle= 1/2*5*8
= 20units²
area of the octagon= 16*20
=320units²
16 semi triangle will make up the octagon full
I hope it work for you
An animal shelter houses rabbits, cats, and dogs. There are 160 animals at the shelter. Of the animals,
1
5 are rabbits.
7
8 of the remaining animals are cats. How many of the animals are dogs? Show your work.
Answer:
67
Step-by-step explanation:
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
7. What is the value of x? Round answer to the nearest tenth (one decimal
place) if needed.
Can you please show work thank you for your time
Answer:
x= 20,1 degrees
Step-by-step explanation:
The sum of the inner angles of a triangle is 180 degrees
So it must be
3x-11+6x-10+x = 180
added up the terms with x
10x -11-10 = 180
added up the terms without x
10x - 21 = 180
added up (21) in the two members of the equation
10x-21+21 = 180+21
10x = 201
divide the two members by 10
x = 20,1 degrees
HELP Math will give 35 brainly points and brainlyest
9514 1404 393
Answer:
51°
Step-by-step explanation:
The two marked angles are a linear pair, so supplementary.
(3x +15) +(10x +9) = 180
13x = 156 . . . . . . subtract 24
156/13 = x = 12 . . . . divide by 13
The smaller angle is ...
3x +15 = 3(12) +15 = 51
The angle with the basement floor is 51°.
For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.
Answer:
the first one is "1 triangle" the second one is "no triangles" the third one is "no triangles and the fourth one is "1 triangle"
Step-by-step explanation:
I got it right one edge
From conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The table shows the set of measures, we need to determine which condition can make triangles.
Condition 1:
AB = 15 cm, BC = 20 cm, ∠B = 40°
By SAS criteria, this condition can form a triangle.
Condition 2:
AB = 20 cm, BC = 15 cm, ∠C = 40°
Here the condition is Side-Side-Angle. There is no such criteria, so no triangle can be formed.
Condition 3:
BC = 10 cm, BC = 5 cm, ∠A = 20°
Here side length of BC alone is given. With one side and one angle, no triangle can be formed.
Condition 4:
AC = 5 cm, BC = 10 cm, AB = 14 cm
Here three sides are given, so we can form a triangle.
Hence we can conclude that from conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
Learn more about triangles here
https://brainly.com/question/16898470
#SPJ2
Which algebraic expression represents "the apples were divided equally into seven boxes"?
7+ a
С 7а
7
a
Answer:7+a
Step-by-step explanation:multiply 7 by a
Answer:
a/7 yw :)
Step-by-step explanation:
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in. The prism is filled with cubes that have edge lengths of 1/2 in. How many cubes are needed to fill the rectangular prism? Enter your answer in the box. To fill the rectangular prism, cubes are needed.
Answer: 432 cubes
Step-by-step explanation:
Volume of rectanglular prism
[tex]\\ \rm\Rrightarrow LBH[/tex]
[tex]\\ \rm\Rrightarrow 9(4)\times 1\dfrac{1}{2}[/tex]
[tex]\\ \rm\Rrightarrow 36\times \dfrac{3}{2}[/tex]
[tex]\\ \rm\Rrightarrow 18(3)[/tex]
[tex]\\ \rm\Rrightarrow 54in^3[/tex]
Volume of each cube
[tex]\\ \rm\Rrightarrow side^3[/tex]
[tex]\\ \rm\Rrightarrow (1/2)^3[/tex]
[tex]\\ \rm\Rrightarrow\dfrac{1}{8}in^3[/tex]
Total cubes
[tex]\\ \rm\Rrightarrow \dfrac{Volume\:of\:prism}{volume\:of\:one\:cube}[/tex]
[tex]\\ \rm\Rrightarrow 54\div\dfrac{1}{8}[/tex]
[tex]\\ \rm\Rrightarrow 54(8)[/tex]
[tex]\\ \rm\Rrightarrow 432[/tex]
Apples cost $1.99 per pound.
How much do 3.25 pounds of apples cost?
Answer:
$6.47
Step-by-step explanation:
set up a ratio
[tex]\frac{1.99}{1} =\frac{x}{3.25}[/tex]
cross multiply
6.47=x
PLEASEEE HELPPPP U DONT HAVE TO BE CORRECT JUST HAS TO MAKE SENSEEE PLS HELLPP
Answer:
TBH I don't really know either, but 63, 360?
Step-by-step explanation:
If they give you a number in feet, and they want inches time the number by 12? (12 inches in a foot)...sorry idrk...
Answer and Step-by-step explanation:
We are told that there are 5,280 feet in 1 mile.
We also know that 1 foot equals 12 inches.
So, to know how many inches are in One mile, we must multiply 5280 by 12.
1
5280
× 12
______
10560
+52800
_______
63360
So, the amount of inches that are in 1 mile is 63,360.
#teamtrees #PAW (Plant And Water)
8) Lisa and Jasmine are selling cheesecakes for a school fundraiser. Customers can buy pecan
cheesecakes and apple cheesecakes. Lisa sold 3 pecan cheesecakes and 7 apple cheesecakes for a
total of $130. Jasmine sold 12 pecan cheesecakes and 14 apple cheesecakes for a total of $338.
Find the cost each of one pecan cheesecake and one apple cheesecake.
9514 1404 393
Answer:
both cost $13 each
Step-by-step explanation:
Let p and a represent the costs of pecan and apple cheesecakes, respectively.
3p +7a = 130 . . . . . . Lisa's sale
12p +14a = 338 . . . . Jasmine's sale
Both the ratios of p-coefficients (4) and a-coefficients (2) are "nice" numbers, so "elimination" is a viable solution method here.
Subtracting twice the first equation from the second eliminates 'a'.
(12p +14a) -2(3p +7a) = (338) -2(130)
6p = 78 . . . . . simplify
p = 13 . . . . . . .divide by 6
Substituting into the first equation gives ...
3(13) +7a = 130
7a = 91 . . . . . . . subtract 39
a = 13 . . . . . . . . divide by 7
The cost of one pecan cheesecake is $13; the cost of one apple cheesecake is $13.
__
A graphing calculator can solve the two equations nicely. Below is a graph of them, showing the solution is (p, a) = (13, 13). Graphing calculators and some scientific calculators can also solve these equations when they are written in matrix or augmented matrix form. It can be worthwhile to learn how to use these calculator features.
How many different 5-letter words can be made
a. if the first letter must be A or Y and no letter may be repeated?
b. if repeats are allowed (but the first letter is A or Y)?
c. How many of the 5-letter words (starting with A or Y) with no repeats end
in H?
Find the answer
5/8 + (2/3 - 1/4) =
Answer:
25/24
Step-by-step explanation:
simplify: 2/3-1/4 to 5/12
5/8+5/12
=25/24
Use a Venn diagram to answer.
If n(A) = 8, n(B) = 9 and n(An B) = 6, what is n(AUB)?
Answer:
[tex]n(A \cup B) = 6[/tex]
Step-by-step explanation:
In Venn sets, we have that:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
In which n is the number of elements that each set contains.
In this question:
[tex]n(A) = 8, n(B) = 9, n(A \cap B) = 6[/tex]
So
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B) = 8 + 9 - 6 = 17 - 6 = 11[/tex]
So
[tex]n(A \cup B) = 6[/tex]
Express the following as a single fraction in its simplest form: 12/y x y/3x
Answer:
by cancellation method we can cancel both the y's
so the leftover digits are, 12/3x
when simplifying, we will get 4/x
∴ the final answer is 4/x
hope this answer helps you.....
Pls help with question.
Answer:
5. 39.556
6.5.233
4 b [tex]\frac{13}{2}[/tex]
4a [tex]\frac{51}{12}[/tex]
Pls help help help pls
Answer:
Its the bottom left one :)
Step-by-step explanation:
What is a fact family? (Saying "it's a family of facts" will not be accepted")
Answer: Fact families are 3 numbers that make up a set of related math facts
Step-by-step explanation:
.An example of a fact family for multiplication and division is 2, 3, and 6: 2 X 3 = 6, 3 X 2 = 6, 6 2 = 3, and 6 3 = 2.
Answer:
Step-by-step explanation:
A fact family is a set of subtraction and addition equations or sentences that involve the same numbers.
write an expression for b divided by 6
(please only real answers, I am already failing I don't need more bs)
Answer:
Well divided by is basically he slash between the things so it would be
b/6
Step-by-step explanation:
÷ is basically (divided by) and whatever number comes first jsut write it like for example
10 divided by 4
10 / 4
Answer:
b/6
Step-by-step explanation:
dont you think thats a bit easy? B divided by six, b ÷ 6, b goes in the like box when u do long division and 6 is outside
Answer the question in the picture plz
A number raised to a fraction would be the same as a root to the inverse of the fraction.
What that means is the sqrt(8) raised to 1/4 is the same as being 4th root of 8.
So rewriting the given equation you would have cubic root 8 x 4th root 8
Combine the roots by multiplying: 3 x 4 = 12
The equivalent equation would be C. 12 root 8 ^ x
A florist sells flower bouquets. The table shows the prices for various amounts and kinds of bouquets.
Flower Bouquets
Tole Price
daisies
$23.90
tulips
$60.80
roses
?
A customer buys 3 bouquets of tulips and 2 bouquets of roses for $147.70. What is the price of a bouquet of roses?
$28.25
$29.54
$55.93
S86.90
Answer:
$28.25
Step-by-step explanation:
$28.25