Answer:
A
Step-by-step explanation:
There are 2 ways you can do this. I'll show you one!
1. Find the Slope
a. use the slope formla: (y1-y2)/(x1-x2)
(4-1)/(-2-1)= 3/-3= -1
This eliminates both B and D, as their slopes are -3
2. Now analyze the last 2 equations
a. A goes through the ordered pair (-1, 1)
b. C goes through the ordered pair (1, 1)
The line we want goes through (-1, 1), so A is the correct answer!
[tex]y-1=-3(x+1)[/tex] equation represents the line.
What is point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
Given points
[tex](x_{1} ,y_{1} )[/tex] = (-1, 1)
[tex](x_{2} ,y_{2} )[/tex] = (-2, 4)
Using point slope form
We know that the equation of line passing through points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] is
[tex]y-y_{1} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }( x-x_{1})[/tex]
Therefore equation of line passing through points (-1, 1) and (-2, 4) is
[tex]y-1=\frac{4-1}{-2+1}(x-(-1))[/tex]
[tex]y-1=\frac{3}{-1} (x+1)[/tex]
[tex]y-1=-3(x+1)[/tex]
Option B is correct.
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Which statement below is correct for the following set of ordered pairs?
{(0,1.2),(3,2),(-1.2,3), (4, -2),(1,-1.2),(1,2,4)}
A. The set is a function since each element in the domain has a different element in the range.
B. The set is a function since each element in the range has a different element in the domain.
C. The set is a not a function since each element in the domain has a different element in the range.
D. The set is a not function since each element in the range has a different element in the domain.
Answer:
C
Step-by-step explanation:
A function can not have the same x-values but can have the same y-values.
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The set does not represent a function, option (D) the set is a not function since each element in the range has a different element in the domain is correct.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a set of ordered pairs:
{(0,1.2),(3,2),(-1.2,3), (4, -2),(1,-1.2),(1,2,4)}
We know there are four main types of mapping that are:
One to one, one to many, many to one, and many to many.
In the case of one to one, and many to one. the relation is a function but in the case of one to many and many to many relations is not a function.
As we can see in the set of ordered pairs the x values are repeated which is also not a property of a function hence it is not representing the function.
Thus, the set does not represent a function, option (D) the set is a not function since each element in the range has a different element in the domain is correct.
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A pebble falls off of a cliff at a height of
784 ft. If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the pebble
to hit the ground?
Answer:
7 seconds
Step-by-step explanation:
You would get 49 from doing -784 divided by -16 then you do the square root of 49 which is 7
ANSWER= 7 seconds
The time taken by the pebble to hit the ground will be = 7 seconds
What is an Algebraic Equation?Expression we get when operations such as addition , subtraction , multiplication , division , are operated upon on variable and constants.
Equation of height as a function of time = h(t) = - 16 (t^2)
cliff is at a height of = 784 feet
comparing both the above equation , we get
-16 (t^2) = 784
t^2 = 49
t = 7 seconds
The time taken by the pebble to hit the ground will be = 7 seconds
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Write in slope-intercept form an equation of the
line that passes through the given points.
(-2, 4), (3, 9)
Answer:
y = 5x - 6
Step-by-step explanation:
Write and equation in slope intercept form of the line shown
Answer:
y=-1x-4
Step-by-step explanation:
Its right trust me. Brainliest?
Your decisions now will have no effect on health later on ?*
True or
False
Answer:
True!
Step-by-step explanation:
Question 24
The lines y = 2x - 1 and y = 2x + 5 are
A:perpendicular
B:neither
C:parallel
Answer:
parallel bc they have same gradient
Step-by-step explanation:
1. How many juniors like to watch track?
2.How many students like tennis best?
3.How many students were surveyed?
4.What percentage of students like track?
5. What percentage of students are in 12th grade and like Soccer?
6. What percentage of seniors like Soccer?
7. What is the relative frequency of being a junior and liking track
8.Out of seniors, what is the relative frequency od liking tennis best?
9.Which sport choice is most popular?
10. Write one statement that compares the sport preferences of the juniors and seniors
The solution is:
Number of students who like only tennis and football = 2
Number of students who like only tennis and baseball = 5
Number of students who like only baseball and football = 12
What is intersection?The intersection of two sets is the set of all those elements which are common to both of the sets.
here, we have,
Solution:
Let students who likes tennis be represented by set T.
Let students who likes football be represented by set F.
Let students who likes baseball be represented by set B.
Given that
Number of students who likes tennis that is n(T) = 18
Number of students who likes football that is n(F) = 25
Number of students who likes tennis and football = n( T ∩ F ) = 10
Number of students who likes tennis and baseball = n( T ∩ B ) = 13
Number of students who likes football and baseball = n( F ∩ B ) = 20
Number of students who likes all three sports = n(T ∩ F ∩ B ) = 8
Number of students who likes none of the sports = 9.
Determining number of students who like only tennis and football:
number of students who like only tennis and football = Number of students who likes tennis and football - Number of students who likes all three sports
so number of students who like only tennis and football
= n( T ∩ F ) - n(T ∩ F ∩ B )
= 10 – 8
= 2
Determining number of students who like only tennis and baseball:
number of students who like only tennis and baseball = Number of students who likes tennis and baseball - Number of students who likes all three sports
so number of students who like only tennis and baseball
= n( T ∩ B ) - n(T ∩ F ∩ B )
= 13 – 8
= 5
Determining number of students who like only baseball and football:
number of students who like only baseball and football = Number of students who likes baseball and football - Number of students who likes all three sports
so number of students who like only baseball and football
= n( B∩ F ) - n(T ∩ F ∩ B)
= 20 – 8
= 12
Summarizing the result :
number of students who like only tennis and football = 2
number of students who like only tennis and baseball = 5
number of students who like only baseball and football = 12.
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complete question:
In a survey of students about favorite sports, the results include 18 who like tennis, 25 who like football, 10 who like tennis and football, 13 who like tennis and baseball, 20 who like football and baseball, 8 who like all three sports, and 9 who like none of the sports. How many students like only tennis and football? How many students like only tennis and baseball? How many students like only baseball and football?
Solve 2k-3(4-k)=3k+4.
Answer: what he said^
Step-by-step explanation: i like the points
Which of the following numbers is irrational? A. -6 B. √10 C. -0.45 D. 2/3
Answer:
square root of ten so b.
Step-by-step explanation:
Fill in the table using this function rule.
REALLY NEED HELPPP
Answer: 71 bud
Step-by-step explanation:
Here Is a trapozhum and a squnro, The lengths of the parnllel sides of the
trapezhum are 10 cm and 14 cm, The helght of tho trhpoziurm is 12 cm. The nren of
the squpre is equal to the aren of the trapeziurn. Work out the perimeter of the
square
Answer:
48 cm
Step-by-step explanation:
Here Is a trapezium and a square, The lengths of the parallel sides of the trapezium are 10 cm and 14 cm, The height of the trapezium is 12 cm. The area of the square is equal to the area of the trapezium. Work out the perimeter of the square.
Solution:
The area of the trapezium is given by:
A = (1/2)(a + b)h
where h is the height of the trapezium = 12 cm, a and b are the parallel sides. Given that a = 10 cm, b = 14 cm, hence:
A = (1/2)(10 + 14)12 = 144 cm²
Area of trapezium = Area of square
Area of square = 144 cm²
Area of square = length * length = length²
length² = 144 cm²
length = √144 = 12 cm
Perimeter = 4 * length = 4 * 12 cm = 48 cm
Please help the picture is there!
Answer: A
Step-by-step explanation:
r = j + 3
We subtitube r to find j,
r = 9 j = 9 + 3 = 12
r = 15 j = 15 + 3 =18
r = 21 j = 21 + 3 = 24
And we found A as answes.
Answer:
CStep-by-step explanation:
r = j + 3 ⇒ j = r - 3Table C is the correct one
r = 9 ⇒ j = 6r = 15 ⇒ j = 12r = 21 ⇒ j = 18HURRY FAST
Give the most descriptive name for the figure.
a. Square
b. Rectangle
c. Parallelogram
d. Rhombus
Adia is placing soil in flower pots. She has 58 quart of soil. She needs 54 quarts of soil to fill one whole flower pot. Use the drop-down menus to complete the statements below about the flower pots that Adia can fill with the soil she has.
Answer:
1 whole flower pot
Step-by-step explanation:
Given that:
Quart of soil Adia has = 58
Quart of soil to fill a whole flower pot = 54
The pot Adia can fill. With the soil he has :
Quart of soil Adia has / Quart of soil to fill a whole flower pot
= 58 / 54
= 1.074 pots
= 1 flower pot
convert 812cm to m (meters)
Answer:
8.13
Step-by-step explanation:
Move decimal over to the left 2 spaces
Can Sombody help me real fast?
Answer:
45°
Step-by-step explanation:
Angles on a straight line add up to 180°.
135 + x = 180
x = 180 - 135
x = 45°
Please help ASAP I need it
Answer:
the negative of 255 is just -255
sandra used 2 jars of beads to make 16 necklaces how many jars of beads would she need to make 192 neclaces
Answer:
24 Jars
Step-by-step explanation:
Do 16/2, which gives you eight for every necklace. Then do 192/8 which would give you 24. So, she would need 24 jars for 192 necklaces.
Answer:
16÷2=8
8÷192=24
its 24
all you have to do is divide the 16 and 2 to see how many is in each jar and how much they have done then just just divide that number with 192.
please help me.
Find the missing side length for each triangle.
Answer:
for triangle ABC side AC is 13 and for triangle DEF side ED is 24
Step-by-step explanation:
what is the prime factorization of 96
Answer:12
Step-by-step explanation:
The prime of 96 is 12
Answer:2 5 · 3
Step-by-step explanation:
pls help me guys i have no idea what im doing...
90 + x + 3x = 180
4x = 90
x = 22.5
Your answer: 22.5
Find the area of the blue triangle
Omg pls help muehhh
Answer:
B) 42 units squared
Step-by-step explanation:
12 * 7 = 84
84 / 2 = 42
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
42
Step-by-step explanation:
The rectangle is 84 units. Half the rectangle (The triangle) is 42 units.
What formula would you use to find the area of this figure?
B) A=1/3(b)(h)
C) A=1/2(b)(h)
D) pi r exponent 2
Of all the students in a school, 2/9 and no of them are in sixth grade.
a. How many sixth graders are there if the school has 90 students?
b. How many sixth graders are there if the school has 27 students?
c. If the school has x students, select the expression for the number of students in the school in terms of x.
d. How many students are in the school if 42 of them are sixth graders?
You know what to do help and welp
If x=2 and y=12 evaluate the following expression:y/x
Lollllll I need help !
Answer:
$1.28
Step-by-step explanation:
$1+$1 =2
Quarter= 25 cents
Penny= 1 cent
25+3=28
$1+0.28
=$1.28
Harper has a mask collection of 400 masks.She keeps 21% of the masks on her wall.How many masks does she keep on her wall
Answer:
84
Step-by-step explanation:
400x0.21%=84 simple
tell me why we get points for answering a question even though we arent going to use them for anything
5+5=?
Answer:
10
Step-by-step explanation:
Basically it upgrades your level, and nothing else it don't make no sense
A rectangle has an area of 125 square feet. A second rectangle's area is 70% of the first. What is the area of the second rectangle?
Answer:87.5
Step-by-step explanation: