Need help for question 8 and 9. I need the equation that’s passes through the points!
Answers
Answer:
Step-by-step explanation:
Question 8
Let the equation of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
y = mx + b
Here, m = slope and y-intercept = b
Since, m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For two points (1, 4) and (5, 8),
m = [tex]\frac{8-4}{5-1}[/tex]
m = 1
Equation will be,
y = (1)x + b
y = x + b
Since, this line passes through (1, 4),
4 = 1 + b
b = 3
Therefore, equation of the line will be,
y = x + 3
Question 9
Let the equation is y = mx + b
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For two points (2, 10) and (6, 4)
m = [tex]\frac{10-4}{2-6}[/tex]
m = [tex]-\frac{3}{2}[/tex]
By substituting the value of 'm' in the equation,
y = [tex]-\frac{3}{2}x+b[/tex]
Since, this line passes through (2, 10)
10 = [tex]-\frac{3}{2}(2)+b[/tex]
b = 10 + 2
b = 12
Therefore, equation of the line will be,
[tex]y=-\frac{3}{2}x+12[/tex]
Related Questions
1. How many triangle make a trapezoid
Answers
A trapezoid consists of two triangles.
A trapezoid does indeed contain two triangles within its structure. A trapezoid is a quadrilateral with one pair of parallel sides.
The other two sides, known as the legs, are not parallel and meet at a point. These legs, along with the two parallel sides, form two triangles within the trapezoid.
One triangle is formed by connecting the two legs and one of the parallel sides. The other triangle is formed by connecting the two legs and the other parallel side.
So, a trapezoid consists of two triangles.
Learn more about Trapezoid here:
https://brainly.com/question/19340938
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Find the 100th term to 1,3,9,27
Answers
Answer:
The n-th term of this sequence appears to be
3
n
−
1
,
n
≥
1
.
Step-by-step explanation:
These are powers of
3
ordered from
3
0
=
1
to
3
a
(for an integer
a
≥
1
). However, the first convenient value for
n
is
1
, not
0
(imagine saying the 0th term of a sequence). Because of that, since the first term is actually
3
0
, we need to start from the first term (
n
=
1
) being
3
1
−
1
. The next is
3
2
−
1
,
3
3
−
1
...
3
n
−
1
.
bethany had some coffee that she wants to give to her friends She wants to give 1/2 of a liter to each friend
If bethany has 6 liters of coffee to give to her friends how many friends can she share coffee with
Answers
Answer:
she can give one half of the liter to 12 friends if u do the math but if she's including herself, 11 but she isn't therefore 12 friends
Answer:
the answer is 12
3
Here is a formula.
V = 1/2 X2 h
Work out the value of V when
(1 Point)
X = 11 and h = 6
Enter your maths answer
11
Answers
Answer:
if V=½X2h then
V=½(11)(2×6)
V=(11/2)(12)
V=66
Belle deposited money into a savings account. This table gives the value of her account for the first 14 months after the initial deposit. The data can be modeled using an exponential function.
Years 2 4 6 8 10 12 14
Account value $106 $113 $119 $126 $135 $143 $152
Based on the data, which amount is closest to the value of the account 24 months after the initial deposit?
$180
$200
$240
$280
Answers
Answer:
The answer is B 200
Step-by-step explanation:
i just took the test so yah :)
One angle of an isosceles triangle measures 32°. Which other angles could be in that isosceles
triangle?
Answers
Answer:
32° and 116°
Step-by-step explanation:
An isosceles triangle has two equal angles and the other angle is found by subtracting the sum of the two equivalent angles from 180°.
Since, one of the angles are given in the problem, one of the angles is 32°.
To find the other angle, we subtract the two angles from 180°.
180° - 32° - 32°
116°
The other two angles are: 32° and 116°
NEED MAJOR HELP PLEASE IM BEGGING ASAP
Answers
Answer:
12
Step-by-step explanation:
proportions
A student solved the equation sin2x/cosx=2, 0(greater than or equal)x(greater than or equal)pi, and found an answer of pi/2. Describe the student's error.
Please show all steps.
Answers
Answer:
The student forgot about the double angle identity.
Step-by-step explanation:
sin2x/cosx=2
This is the double angle identity
sin2x=2sin(x)cos(x)
(2sinxcosx)/cosx=2
2sinx=2
sinx=1
x=sin^-1(1)
x=90 degrees OR pi/4
This was my answer for the test and got full points :)
Suppose you go to a company that pays 0.05 for the first day, 0.1 for the second day, 0.2 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 30 days ?
Total Income =
Answers
Answer:
I think the correct answer is $26,843,545.6
Step-by-step explanation:
Help??????? Anyone.
Answers
Answer: if the second angle is vertical to the first one, then they will both have the same degrees which is 131°
Step-by-step explanation:
Which solution set is graphed on the number line?
-4 -3 -2
-1
0
1
2
3
4
"x21
C
X> 1
x < 1
X31
Answers
Answer:
for this one option C will be your answer
Step-by-step explanation:
PLS HELP I BEG YOU IT IS DUE TODAY ILL GIVE BRAINLIEST
What is the surface area of the rectangular prism?
138 cm²
200 cm²
276 cm²
280 cm²
Answers
Answer:
276 cm²
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(4x7+10x7+10x4)
A=2(28+70+40)
A=2(138)
A=276 cm²
identify the domain and range of the relation
{(4, 2), (1, 3), (0, 0), (-1, -1), (1, -3)
Answers
Answer:
So, the domain are:
[tex]x = 4,1,0,-1[/tex]
The range are:
[tex]y = 2,3,0,-1,-3[/tex]
Step-by-step explanation:
Given:
[tex]\{(4, 2), (1, 3), (0, 0), (-1, -1), (1, -3)\}[/tex]
Required
The domain and the range
In relation, we have:
[tex]\{(x_1, y_1), (x_2, y_2), ......, (x_n, y_n)\}[/tex]
Where the x values are the domain and the y values represent the range.
So, the domain are:
[tex]x = 4,1,0,-1[/tex]
The range are:
[tex]y = 2,3,0,-1,-3[/tex]
1) Write an equation of the line with slope =-2 and a y-intercept at (0,5).
A) y = -5x + 2 B) y = 5x – 2 C) y = 2x - 5 D) y = -2x + 5
Answers
Answer:
it should be D
Step-by-step explanation:
I hope this helps!
what is the proportion of 22/3
Answers
Answer:
not to sure but is it 733.333333333333%
Step-by-step explanation:
Find the slope worth 10 points
Answers
Answer:
1/3
Step-by-step explanation:
Correct Answer to this please it’s geometry.
Answers
Y=1/2x-8
1=-2(2)+b
1=-4+b
+4 +4
B=5
The area: is about? UHH anyone know this??!!
Answers
Answer:
1.77 ft.^2
Step-by-step explanation:
What we know: diameter of circle is 1.5
What we need: the radius to find the area of a circle
What we can do: Divide 1.5 by two to get the radius(since the diameter is twice the radius : radius x 2 = diameter)
Math --> 1.5 divide by 2 = .75
What we need to know: Formula of finding Area of Circle is A=(pie)r^2
Insert what we know: A=(pie).75^2
Work out problem(do radius to the second power first)#1: .75^2 = .5625(unrounded)
Work out problem(multiply number by pie))#2: .5625 multiplied by (pie) = 1.7671458676442586966352369030947
Round Answer to nearest hundredth: 1.77 ft.
Note: I use the pie sign for this problem. So I used : 3.1415926535897932384626433832795
I used a scientific calculator for the calculations.
^2 is added after the unit to show Area.
To the second power is multiplying the number by itself. Example: 4^2 = 16 = 4 x 4
HELP!!!!!!
Rylan bought a jacket for $32.25 and y shirts for $12.99 each. Which of the following expressions shows the total amount of money she spent?
A. 32.25y + 12.99
B. 32.25y + 12.99y
C. 32.25 + 12.99y
D. 32.25 + 12.99 + y
Answers
Answer:
the answer is c
Step-by-step explanation:
Trust me
Solve and check
please please help i will mark u as a brill it is easy please
Answers
Answer:
B=25
Step-by-step explanation:
Use the equation √4x+15 - 3√x How many potential solutions are there?
Answers
Answer:
potential solutions- 1
extraneous solutions- 0
solution to equation- x=3
Step-by-step explanation:
the bar graph shows the results of spinning a spinner 100 times. use the bar graph to find the experimental probability of the event.
Spinning a 2
Answers
Answer:
you will have an 18% chance of rolling a 2.
Step-by-step explanation:
18/100 = 18
The probability of spinning an even number is 39/10
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, we have,
to determine the probability of spinning an even number.
The missing bar chart is added as an attachment
The bar chart (see attachment) represents the graph that would be used to calculate the required probability
On the bar chart, we have the sample size of the even number
Even number = 18 + 21
Even number = 39
So, we have
P(Even) = Even/Total
By substitution. we have
P(Even) = 39/100
Hence, the probability is 39/100
Read more about probability at
brainly.com/question/251701
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help me please i need help
Answers
Answer:
k= 70
Step-by-step explanation:
K=70
:)))))))))
Find the value of x.
Answers
Step-by-step explanation:
hope this will help you plz check and tell me
90°-79°=11°
meaning that x=11°
does that sound right correct me if i’m wrong
A game company asked people at the mall which game console they owned. They recorded the results in the bar graph below. How many more people owned a Xbox 360 than owned a Gameboy?
Answers
Answer:
Option (4)
Step-by-step explanation:
From the bar graph given in the picture,
Number of people who owned a Xbox 360 = 8
Similarly, number of people who owned Gameboy = 1
Therefore, difference in the number of people having Xbox 60 and Gameboy = 8 - 1
= 7
Option (4) is the correct option.
what is the value of
(8+3k)²-(-k-6)²¹ if k=5
Answers
Answer:=530
Step-by-step explanation:
The lengths of the legs of a right triangle are 8 yards and 15 yards. What is the length, in yards, of the third side of the triangle?
A.23
B.17
C. 12.7
D.11.5
Answers
Answer:
B
Step-by-step explanation:
By inspection it can' be C or D since they are shorter than the 15 yard side.
Also B is just slightly big than 15, so it is mostly likely incorrect
I would guess A is the answer, proven to be INCORRECT see below
the correct answer is B. 17 yards
check the answer using the pythagorean theorem
a² + b² = c²
a = 8
b = 15
c = √(64 + 225)
= √289
= 17 my guess was wrong!!!!
The sum of two numbers is 58. Twice the second
number subtracted to four times the first number is
28. Find the two numbers.
Answers
Answer:
Step-by-step explanation:
a+b=58 and 4a-2b=28 is the system of equations
solving the first for a, a=58-b, using this value for b in second equation is
4(58-b)-2b=28
232-4b-2b=28
232-6b=28
-6b=-204
b=34, and since a=58-b
a=58-34
a=24
So the two numbers are 24 and 34
You love nuts. You go to the store to buy almonds and cashews. Cashews cost $2 per pound and Almonds cost $5 per pound. You end up spending $450 on 150 pounds of nuts (you really love nuts). How many pounds of each type of nut did you get? How many pounds of cashews? How many pounds of Almonds?
Answers
Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
f(x) = 3x² + 5x – 7
g(x) = 2x + 13
Answers
Answer:
-5
Step-by-step explanation:
At first,
f(-1) = 3 x (-1)² + 5 x (-1) -7
= 3 - 5 - 7
= -9
g(f(-1)) = g(-9)
= 2 x (-9) + 13
= -18 + 13
= -5