Answer:
y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)
m = [tex]\frac{-6+5}{3=2}[/tex] = - [tex]\frac{1}{2}[/tex] , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 5 ) , then
- 5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{1}{2}[/tex] = - [tex]\frac{9}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.
Answer:
Step-by-step explanation:
P = £1100
r = 5%
t = 6 years
I =P*r*t
[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]
Amount = P + I = 1100 + 330 = £1430
Find the diameter and circumference
6.2 mi
PLS HELP I NEED AN ANSWER PLS
Answer:
diameter: 2.4 mi
circumference = 38.96 mi
Step-by-step explanation:
d=2r=2·6.2=12.4
C=2πr=2·π·6.2≈38.95575
Find x rounded to the nearest while number
Answer:
10.35
Step-by-step explanation:
The given triangle is a right angled ∆ .The data given is ,
Base = x Hypontenuse = 23 Angle = 63° .We can use ratio of cosine here , as ,
=> cos∅ = b/h
=> cos 63° = x/23
=> 0.45 = x/23
=> x = 23 × 0.45
=> x = 10.35
Hence the value of x is 10.35GIVING BRAINLIST! $ CHOSE ANY!
Answer:
36in for the 1st one
Step-by-step explanation:
Answer:
36 in- mild
Hope this helps!!
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = 6x2 + x − 12
A. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12
B. linear function; linear term: x; constant term: −12
C. linear function; linear term: 6x2; constant term: −12
D. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
Answer:
D
Step-by-step explanation:
The function f(x) = 6x2 +x -12 is a quadratic since the highest degree polynomial term is 2. So that eliminates B and C. Option A is incorrect because the quadratic term is 6 not double the constant. There for the correct choice is D because the function is a quadratic and the quadratic term is 6x2, the linear term is x and the constant term is -12.
PLEASE HELP FAST!!! What shape is this figure?
A. Cylinder
B. Sphere
C. Cone
D. Pyramid
Answer:
The shape of this figure is a sphere
Step-by-step explanation:
Have a good day :)
Step-by-step explanation:
the figure is a sphere shape
SOMEONE PLEASE HELP ME
Answer:
27
Step-by-step explanation:
math
classify the pair of angles shown.
Answer:
complementary angle
Step-by-step explanation:
hope this helps u
❗️❗️HELP ❗️❗️Triangle ABC is shown below.
98
46
B
Use the drop-down menus to explain how to determine the measure of angle A. Click the arrows to
choose an answer from each menu.
degrees, so the measure of
The measure of angle A is
The sum of the interior angles of a triangle equals Choose...
angle A can be found by calculating Choose...
Choose... degrees
Answer: I need this one too
Step-by-step explanation:
Answer:
180
180 - (98 + 46)
36
Step-by-step explanation:
If someone helps me ill give them brainlest
Answer:
x+51+80+60=180
x+191. =180
x=180-191
x=-11
Classify this triangle by its sides.
Answer:
Equilateral
Step-by-step explanation:
All angles are the same, so the sides are the same as well
Classifications:
Scalene = no sides and angles are the same to others
Equilateral = All sides and angles are congruent
Isosceles = 2 sides and 2 angles are congruent.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: equilateral
Step-by-step explanation:
An equilateral triangle is a triangle where all the sides are the same length.
Solve the quadratic formula for (5x+3)(5x-3)=19X
Must show all workings
The value of x for the given quadratic equation is (19+[tex]\sqrt{1261}[/tex])/50,
(19-[tex]\sqrt{1261}[/tex])/50.
What is a quadratic equation?It is in the form of a[tex]x^{2} +bx+c[/tex]. It is simply an equation and we have to solve for x.
How to solve a quadratic equation?If we solve the given equation we will be able to get the following equation
[tex]25x^{2} -19x-9=0[/tex]
x=(-b+-[tex]\sqrt{b^{2}-4ac }[/tex])/2a
when we put b=19 a =25 c =-9
we will get x=[tex](19+\sqrt{1261} )/50 , (19-\sqrt{1261} )/50[/tex].
Learn more about quadratic equations at https://brainly.com/question/1214333
#SPJ2
No links need help ASAP
Who listens to NF (Nathan Feuerstein) and enjoys his music?
Write a short paragraph about your favorite song and why you like it. Also include what you think the song means.
I will give Brainliest to the answer I like best and 10 points.
Good luck,
Paul
Answer: I like NF and can I do it later I’m in class
Step-by-step explanation:
Which expression is equivalent to5(h+9)
Answer:
The answer would be 5h+45
Step-by-step explanation
5 (h+9)
You need to convert this equation into the equation
you multiply 5 by h and get 5h
Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45
Once you have 5h and 45 just put it together with the addition symbol which will will equal:
5 (h+9) = 5h + 45
Your Welcome! (hopefully this answers your question)
It’s a multiple choice so it’s like 3 answers but help please
Answer:
b g and e
Step-by-step explanation:
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 5, -25, 125,
The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
The given sequence is 5, -25, 125,.......
Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.
We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].
Where, a = first term of the sequence, r= common ratio and n = number of terms.
Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get
[tex]a_n=5\times(-5)^{n-1}[/tex]
Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
To learn more about the geometric sequence visit:
https://brainly.com/question/11266123.
#SPJ4
4N + 10H - 3H + 2N (simplify each expression
Answer:
...
Step-by-step explanation:
2N+7H
Answer:
7H+6N
Step-by-step explanation:
Combine like terms(h)-
4n+10h-3h+2n
4n+7h+2n
Combine like terms(n)-
4n+7h+2n
6n+7h
Rearrange terms-
6n+7h
7h+6n
Mallory decided to keep track of how long she watched TV for an entire week. She watched 1 hour and 25 minutes of comedy shows, 45
minutes of drama shows, and 3 hours of action shows.
What was the ratio of number of minutes she watched comedy shows to the total number of minutes she watched TV.
A. 17:36
B. 17:45
C. 17: 60
D. 17 : 62
A bird flying at an altitude of 50 feet spies a worm in the ground up ahead. How far must the bird travel to the worm if the angle of depression from the bird to the worm is 56°?
Answer:
33.7 ft
Step-by-step explanation:
We solve the above question using Trigonometric function of Tangent
tan θ = opposite/adjacent
θ = 56°
Opposite = 50 ft
Adjacent = x
Cross Multiply
tan 56 = 50 ft/x
Cross Mulitiply
tan 56 × x = 50ft
x = 50ft/tan 56
x = 33.725425842 ft
Approximately = 33.7 ft
The bird must travel 33.7 ft to meet the worm
find the surface area please help
Answer:
the answer is 30
Step-by-step explanation:
hight x base²
Answer:
AS =282.7cm²
Step-by-step explanation:
SA = 3.14×r×L +3.14×r²
L²=5²+12²
L=13)
= 3.14×5×13 + 13.4x5²
AS=282.7cm²
Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)
Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!
Answer:
first you will need to break the shape into a semi circle and a triangle.
then solve the area of the semi circle. which is
[tex] \frac{(3.14) \times r ^{2} }{2} \\ [/tex]
[tex] \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22[/tex]
Then solve the area of the triangle.
First work out the height of the triangle, which is
[tex]13.4 - 4.6 = 8.8[/tex]
then the area. which is
[tex] \frac{1}{2} 4.6 \times 8.8 \\ = 20.24[/tex]
now calc. the two figures. which is
[tex]20.24 + 33.22 \\ = 53.46[/tex]
After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different trucks with the same height of ladders. The first truck costs $145,000 and will cost $0.31 per mile traveled based on the current gas prices. The second truck will cost $160,000 but gets better gas mileage, costing $0.27 per mile. They need to decide which truck is the best deal.
Answer:
the first truck
Step-by-step explanation:
the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000
the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.
so,
I think, this is a very significant number of truck cost compared with gas cost
for the best deal, the first truck is the best choice.
Someone plz help me
Answer:
C - (8×10) + (9×1) + (4×1/100)
Step-by-step explanation:
89.04
4 is in the hundredths place after the decimal. So it would ve equivalent to 1/100 because the 0 is taking the place of 1/10
Hope it Helps!:)
Answer:
Hello again! Your answer is C! (Sorry this is an edit)
Step-by-step explanation:
(8 x 10) + (9 x 1) + (4 x 1/10)
im not exactly sure how to explain this, but I studied this in 3rd grade so I believe I’m correct... if you solve the question, you’ll get 89.04
i can try my best to explain below...
I’ll start with the first part of the equation.
(8 x 10) ... this equals 80
next is (9 x 1) ... this equals 9
then we have (4 x 1/100) ... this equals 4/100, because 4 of 1/100 would be 4/100, translated to decimals would equal 0.04
now we already simplified the equation: 80 + 9 + 0.04
finally, the solution. (Solving the problem)
80 + 9 = 89
89 + 0.04 = 89.04
im sorry if this isn’t a detailed enough explaination, but this is the best I could do. Best of wishes on your assignment & have a nice day! (Brainliest? Lol.)
2. In 1990, there were 1,200 cell phone subscribers in a small-town of Stephenville. The number of subscribers increased by 75% per year after 1990. How many cell phone subscribers were in Stephenville in 1999?
Answer: [tex]184,724.153[/tex]
Step-by-step explanation:
Given
In 1990, there were 1200 cell phone subscriber in small town of stephenville
It is increasing by 75% per year after 1990
In year 1991 it is
[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]
In year 1992 it is
[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]
So, it is increasing as [tex]1200(1.75)^x[/tex]
where [tex]x=[/tex]no of years spent
After 9 years, it is
[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]
Ill give for 32, plz solve them. :)
Answer:
t>=7
Step-by-step explanation:
At the amusement park, Janine bought a bottle of water for $2. She also bought game tickets for $0.50 each. Janine spent a total of $15.
Which of the following equations can be used to find the number of game tickets, g. Janine bought?
O 0.509 + 2 = 15
O2g +0.50 = 15
O 0.50g - 2 = 15
O 2g -0.50 = 15
Answer:
15 = 2 + 0.5g
Total number of ticket purchase by Janine = 26
Step-by-step explanation:
Given:
Cost of water bottle = $2
Cost of each ticket = $0.50
Total amount spend by Janine = $15
Find:
Equation
Computation:
Assume;
Total number of ticket purchase by Janine = g
Total amount spend by Janine = Cost of water bottle + (Cost of each ticket)(Total number of ticket purchase by Janine)
15 = 2 + (0.5)(g)
15 = 2 + 0.5g
0.5g = 13
g = 13 / 0.5
Total number of ticket purchase by Janine = 26
Company is testing a robot.The robot is 12 inches tall and weigh 4 pounds.The employees of the company marked a grid on the floor and set the robot at(4,4). They programmed the robot to walk 4 yards east and 6 yards north each minute.What will the robot's location be after 7 minutes? The x coordinate and the y coordinate
Answer:
[tex]P(2)=(32,46)[/tex]
Step-by-step explanation:
From the question we are told that:
Height of robot [tex]h=12 inches[/tex]
Weight of robot [tex]W=4[/tex]
Start position [tex]P(1)=(4,4)[/tex]
Per minute distance [tex]d=(4,6)[/tex]
Total time [tex]T=7min[/tex]
Generally the distance traveled in 7 minutes [tex]d_T[/tex] is mathematically given by
[tex]d_T=d*T[/tex]
[tex]d_T=(4.6)*7[/tex]
[tex]d_T=(28,42)[/tex]
Generally the position of the robot after 7 minutes is mathematically given by
[tex]P(2)=P(1)+d_T[/tex]
[tex]P(2)=(4,4)+(28,42)[/tex]
[tex]P(2)=(32,46)[/tex]
Therefore the position of the robot after 7 minutes is
[tex]P(2)=(32,46)[/tex]
Nevaeh invested $1,200 in an account paying an interest rate of 2⅞ % compounded quarterly. Paisley invested $1,200 in an account paying an interest rate of 2⅝ % compounded continuously. To the nearest dollar, how much money would Nevaeh have in her account when Paisley's money has tripled in value?
Answer:
[tex]Nevaeh \ will \ have \ 1224.33 \ and \ Paisley \ will \ have \ 1275.[/tex]
GIVING BRAInLY !!!!! Which expression shows the result of applying the distributive property to 3(1/5x-1/7)?
(A) -3/5x-3/7
(B) 3/5x-3/7
(C) 3/5x+3/7
(D) -3/5x+3/7
Answer:
B. 3/5x-3/7
Step-by-step explanation:
You multiply when applying the distributative property
3(1/5x-1/7)
3/5x-3/7 multiply 3 by each value in parentheses.