Answer:
y - 3 = -1/2(x-1)
Step-by-step explanation:
Given the coordinates (1, 3) and (5,1). The point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the required point
Get the slope
m = 1-3/5-1
m = -2/4
m = -1/2
Using the point (1,3), substitute
y - 3 = -1/2(x-1)
2(y-3) = -(x-1)
Hence the required equation is y - 3 = -1/2(x-1)
Answer:
y - 3 = -1/2(x-1)
Step-by-step explanation:
Khan
Consider the following sequence
[tex]1,1,\frac{3}{4} ,\frac{4}{8}[/tex]
find the nth term such that n > 0
9514 1404 393
Answer:
2n/2^n
Step-by-step explanation:
It appears that the terms are ...
[tex]\dfrac{1}{1},\ \dfrac{2}{2},\ \dfrac{3}{4},\ \dfrac{4}{8},\ \dots[/tex]
That is, the numerator is counting numbers, and the denominator is powers of 2.
[tex]f[n]=\dfrac{n}{2^{(n-1)}}\quad\text{or}\quad f[n]=2n\cdot2^{-n}[/tex]
HELP WILL MARK BRAINIEST NO LINKS!!
Answer:
length - 80
width - 80
Step-by-step explanation:
95*2 = 190
65*2 = 130
190+130 = 320
320/4 = 80
80 x 80 = 6400
95 x 65 = 6175
6400 > 6175
80 x 4 = 320 = both perimeters
PLEASE HELP I NEED YOUR HELP, the question will be in the picture‼️‼️
Answer:
hiiuyy............
answer 222
Step-by-step explanation:
go to Jesus bc he died for you and your sins
so get saved bc he is coming sooner than we think
A trade magazine routinely checks the drive-through service times of fast-food restaurants. Upper AA 9595% confidence interval that results from examining 773773 customers in one fast-food chain's drive-through has a lower bound of 169.0169.0 seconds and an upper bound of 172.2172.2 seconds. What does this mean?
Answer:
One can be 95% confident that the drive-through service times of fast-food chain is between 169 seconds and 172 seconds.
Step-by-step explanation:
The confidence interval gives a range of value for the population mean or parameter, which is calculated from the statistic value of the data (that is sample statistic). This range gives the interval which is associated with a certain level of confidence for which the interval will contain the true value of the unknown parameter (true value). In the scenario above, the associated confidence level is 95%.Hence, we can be 95% confident that the true value will be continued with the interval (169 ; 172)
52nd term of arithmetic sequence 5,9,13
Answer:
209
Step-by-step explanation:
the Nth term is 4n plus 1
substitute 52 into n
4 times 52 is 208
208 plus 1 is 209
Answer:
201
Step-by-step explanation:
52 (amount of terms) - 2 (terms shown other than 5) = 49 * 4 = 196 + 5 = 201
Choose each angle measure that is one of the angles of these similar triangles. Select all that apply.
I need answer not links
Answer:
3
Step-by-step explanation:
3 is the A value.
Hello can anyone give me the step by step answer?
Answer:
C
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 ) = (- 8, - 42 ) and (x₂, y₂ ) = (- 3, - 17 ) ← 2 ordered pairs from the table
m = [tex]\frac{-17-(-42)}{-3-(-8)}[/tex] = [tex]\frac{-17+42}{-3+8}[/tex] = [tex]\frac{25}{5}[/tex] = 5
The line crosses the y- intercept at (0, - 2 ) , then
y = 5x - 2 → C
Answer:
C. y=5x-2
Step-by-step explanation:
Put the numbers in the x column in the x of the equation and do the same for y. Solve, and if both sides are equal, the equation is correct.
You can use any set of x and y and try each equation till you find the right one. (0,-2) would be the easiest, because you can just make x=0, but you have to test the correct equations again with a different set after. {I used (-8,-42).}
PLZZZZZZZZZZ HELP ITS FOR A TEST!!!The question is in the blue, the way I want you to solve it is the second one
The length of the base of a rectangle is increased by 10% but the area remains unchanged. By what percent was the breadth reduced?
Answer:
9.09%
Step-by-step explanation:
Area of a rectangle = length x breadth
to determine the answer, i would use an example
Assume length = 10
breadth 20
Area = 10 x 20 = 200
If the length is increased by 10%, the new length becomes = 1.1 x 10 = 11
11 x b = 200
b = 200/11 = 18.181818
Percentage reduction = (18.181818 / 20) - 1 = 0.0909 = 9.09%
HELP DUE IN 5 MINS!
Solve for x in the polygon below.
x=??
Answer:
130
Step-by-step explanation:
(6-2)180=720
720-590=130
Plz help i been asking this question for too long just answer the question no explantion 30 points
Answer:
1)
[tex]2\frac{2}{3} +1\frac{5}{6} =4\frac{1}{2}[/tex]
2)
[tex]1\frac{4}{5} +3\frac{2}{7} =5\frac{3}{35}[/tex]
Answer:
[tex]4\frac{1}{2}[/tex]
[tex]5\frac{3}{35}[/tex]
Step-by-step explanation:
[tex]2\frac{2}{3}+1\frac{5}{6}=4\frac{1}{2}[/tex]
[tex]1\frac{4}{5} +3\frac{2}{7} =5\frac{3}{35}[/tex]
Laura takes 80 steps to walk across her local park.
Laura's steps are 70 centimetres long.
Her sister Kara's steps are 80 centimetres long.
How many steps does Kara take to walk across
the park?
a. 45
b.56
c.70
d.80
Answer:
c. 70
Step-by-step explanation:
Laura’s steps are 70cm, and she takes 80 steps, which would give her a total length of 5600cm. Kara’s steps are 80cm, so we have to divide 5600cm by 80cm. This means Kara takes 70 steps to walk across the park.
Evaluate the expression. 0.1×( – 0.9+ – 0.2÷ – 0.5) Write your answer as an integer or a decimal. Do not round.
The solution of expression [tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex] by using the BODMAS rule would be [tex]- 0.05.[/tex]
Used the concept of the BODMAS rule which states that,
The correct order in which to solve maths problems. Bodmas stands for B-Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
Given that the expression is,
[tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex]
Solve the above equation by using the BODMAS rule,
[tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex]
It can be written as,
[tex]0.1 \times [- 0.9 + (- 0.2 \div - 0.5)][/tex]
[tex]0.1 \times [- 0.9 + 0.4][/tex]
[tex]0.1 \times - 0.5[/tex]
[tex]- 0.05[/tex]
Therefore, the solution of the expression is [tex]- 0.05.[/tex]
To learn more about the BODMAS rule visit:
https://brainly.com/question/29626868
#SPJ12
Identify the vertex and y-intercept of the graph of the function y = (x + 2)^2 − 3. Use the drop-down menus to show your answer.
Answer:
Vertex of the quadratic function y = (x - h)² + k is:
point (h, k)Given function:
y = (x + 2)² − 3h = -2, k= -3Its vertex is (-2, -3)
The y-intercept is the point with x = 0:
y = (0 + 2)² − 3 = 4 - 3 = 1The y-intercept is (0, 1)
Answer:
Vertex: (-2, -3)
y intercept: 1
Step-by-step explanation:
A recliner chair is normally $750 is discounted to $600. What is the percent discount?
Answer:
20%
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 750 × 20/100
Discount = 750 x 0.2
You save = $150.00
Final Price = Original Price - Discount
Final Price = 750 - 150
Final Price = $600.00
Answer:
20%
Step-by-step explanation:
Just multiply 750 by 20%, and you will get 150. Subtract and you will get 600. That means my answer is correct.
Good Luck!
Given that a - b = 3 and ab=5, find, without the use of a calculator,
the value of a^2 +b^2?
Answer:
19
Step-by-step explanation:
a-b=3 ab=5
a²+b² = (a-b)²+2ab ( a general formula)
= 3²+2×5
=9+10 = 19
You throw a ball at a height of 5 feet above the ground. The height h (in feet)
of the ball after t seconds can be modeled by the equation h=-16tsqaured +44t +5
A. After how many seconds does the ball reach a height of 15 feet?
B. After how many seconds does the ball hit the ground? Round your answer
to two decimal places.
Answer:
A. After 2.5 sec and .25 sec the ball was at a height of 15 ft.
B. 2.86 sec is the time it takes to hit the ground
Step-by-step explanation:
A. let h = 15
then 15 = -16t^2 + 44t + 5
16t^2 - 44t + 10 =0
2(8t^2 - 22t + 5) = 0
2(2t - 5)(4t - 1) = 0
t = 5/2 = 2.5 or t = 1/4 = .25
After 2.5 sec and .25 sec the ball was at a height of 15 ft.
B. Let h = 0.
-16t^2 + 44t + 5 = 0
Use the quadratic formula to find t. (I will let you do that)
t = 2.85929... or t = -.10929...
t cannot be negative, so 2.86 sec is the time it takes to hit the ground
The answer of A is After 2.5 sec and 0.25 sec the ball was at a height of 15 ft and the answer of B is 2.86 sec is the time it takes to hit the ground.
A. let h = 15
What is the quadratic equation?
[tex]ax^2+bx+c=0[/tex]
a, b, c = known numbers, where a ≠ 0
x = the unknown
then 15 = -16t^2 + 44t + 5
16t^2 - 44t + 10 =0
2(8t^2 - 22t + 5) = 0
2(2t - 5)(4t - 1) = 0
t = 5/2 = 2.5 or t = 1/4 = 0.25
After 2.5 sec and 0.25 sec the ball was at a height of 15 ft.
B. Let h = 0.
-16t^2 + 44t + 5 = 0
Use the quadratic formula to find t.
t = 2.85929... or t = -.10929...
t cannot be negative, So 2.86 sec is the time it takes to hit the ground.
To learn more about the quadratic equation visit:
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change 45% into decimal
Write an expression equivalent to 1/2 (17k + 7)
Answer:
17k + 7
----------
2
Step-by-step explanation:
1. 1/2 (17k + 7)
1( 17k + 7)
-------------
2. 1(17k + 7)
-----------------
2
17k + 7
----------
2
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
I think its d
Step-by-step explanation:
FACTOR COMPLETELY f(x) = 4x^2 + 8x − 5
Answer:
(2x - 1)(2x + 5)
Step-by-step explanation:
Start by finding factors of 4 and factors of 5, then find out which ones will add or subtract to the middle term, 8. You get (2x -1)(2x+5).
Hopefully this helps - let me know if you have any questions!
The volume of the prism shown below is 140 cubic meters. Find the height of the prism
Answer:
5
Step-by-step explanation:
First multiply 7 and 4
7 * 4 = 28
Then divide 140 by 28
140/28 = 5
Height is 5
g) 4−6
/9
=
1
/3
+ x
Answer:
x = 3
Step-by-step explanation:
Given
4 - [tex]\frac{6}{9}[/tex] = [tex]\frac{1}{3}[/tex] + x ( multiply through by 9 to clear the fractions )
36 - 6 = 3 + 9x
30 = 3 + 9x ( subtract 3 from both sides )
27 = 9x ( divide both sides by 9 )
3 = x
Richard is planning a course for a running event. He is required to post the distance of the course in miles and kilometers. If the course Richard plans is 6.8 miles, how many kilometers is the course? (rounded to the nearest tenth) (1 mile = 1.6 Km).
A.10.9
B.6.5
C.12.5
D.17.6
Answer:
its A
Step-by-step explanation:
The circumference of the circle shown below is 54 centimeters. Which
expression gives the length in centimeters of ?
х
120"
O A.
360
.. 545
120
y
ОВ.
120
360
54
O c.
360
-.54
120
O D.
120
• 545
360
Answer:
B
Step-by-step explanation:
120/360 54
3. Mrs. Lopez, a counselor at Round Rock High School. found that 18% of the students had a math class first period. If there are 800 students at the school, how many students are NOT in a math class for first period?
Answer:
656 students
Step-by-step explanation:
18% of 800 is 144, and 800-144= 656 :)
Which set does not contain a rational number?
Answer:
[tex]\sqrt{21}[/tex], π, [tex]\sqrt{75}[/tex]
Step-by-step explanation:
this set contains only irrationals
The sum of four and twelve is??
Answer: 16
Step-by-step explanation:
12+4= 16
1. Find the area of the composite figure to the nearest hundredth.
2. Find the area of the shaded region to the nearest tenth.
Answer:
#1: 751.56 mm²
#2: 477 km²
Step-by-step explanation:
First I noted the semicircle on the left, which has a radius of 12.5 mm. The formula for finding the area of a semicircle is 1/2(πr²).
1/2(3.14 * (12.5)²)
12.5 squared is 156.25.
1/2(3.14 * 156.25)
Multiply 3.14 by 156.25 to get 490.625.
1/2(490.625)
Divide 490.625 by 2 to get 245.3125.
245.3125 mm² for the semicircle
Then, I split the rest of into a 12.5 by 25 rectangle and a 31 by 12.5 triangle.
(12.5 * 25) + 1/2(31 * 12.5)
Multiply 12.5 by 25 to get 312.5.
312.5 + 1/2(31 * 12.5)
Multiply 31 by 12.5 to get 387.5.
312.5 + 1/2(387.5)
Multiply 1/2 by 387.5 to get 193.75
312.5 + 193.75
Add 312.5 and 193.75 to get 506.25.
506.25 mm² for the rest of the figure.
Now add the two measures, and you have your answer for #1.
245.3125 + 506.25 = 751.5625 mm², which rounds to 751.56 mm².
The area of the composite figure is 751.56 mm².
Now for #2. First, find the area of the triangle.
1/2(40 * 27)
Multiply 40 by 27 to get 1080.
1/2(1080)
Multiply 1/2 by 1080.
590 km² for the triangle.
Now find the area of the circle.
3.14 * 6²
3.14 * 36
113.04 km² for the circle.
Now subtract the area of the circle from the area of the triangle.
590 - 113.04
476.96 km², which rounds to 477.0 km².
The area of the shaded region is 477 km².
Answer:
1. 745.31 mm²2. 426.96 km²Step-by-step explanation:
#1
We can separate the figure into 3 parts and sum the areas.
Semicircle with radius 12.5 mm:
A = 1/2(πr²) = 1/2(3.14*12.5²) = 245.31 mm²Rectangle with sides 12.5 mm and its double size:
A = 12.5*(2*12.5) = 312.5 mm²Triangle with height 12.5 mm and base 30 mm:
A = 1/2*(55 - 2*12.5)*12.5 = 187.5 mm²Sum of the three:
245.31 + 312.5 + 187.5 = 745.31 mm²#2
The shaded region is the difference of the areas of the triangle and the circle
Triangle:
A = 1/2*27*40 = 540 km²Circle:
A = πr² = πd²/4 = 3.14*12²/4 = 113.04 km²Shaded region:
540 - 113.04 = 426.96 km²