Which of the following is an equation of line l in the xy plane above
A) 1 = 1
B) y = 1
C) y = x
D) v = x + 1
Answer:
Option (D)
Step-by-step explanation:
Let the equation of the line be,
y = mx + b
where m = slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since, line 'l' is passing through two points (0, 1) and (-1, 0),
Therefore, slope 'm' = [tex]\frac{1-0}{0+1}[/tex] = 1
y-intercept 'b' = 1
Therefore, equation of the line will be,
y = 1(x) + 1
y = x + 1
Option (D). will be the answer.
What does (7x - 10) - (-6x - 8)
Answer:
13x - 2
Step-by-step explanation:
Use the distributive property to eliminate the parentheses. 1(7x - 10) -1(-6x - 8) so using the distributive property 7x - 10 + 6x + 8. Next, combine the like terms. 13x - 2
If y=78 when x=12,find y when x=21
Class : IX
Subject : Mathematics Assignment 7: Area of Triangles
Formula)
1. The sides of a triangle are 8cm, 15cm and 17cm, find its perimeter and its area. Also find the lengt
altitude drawn on the side with length 17cm.
Step-by-step explanation:
a=8cm
b=15cm
c=17cm
s=a+b+c/2
=8+15+17/2
=40/2
=20
Using heron's formula,
ar. of triangle= √s(s-a)(s-b)(s-c)
=√20(20-8)(20-15)(20-17)
=√20×12×5×3
=√2×2×5×2×2×3×5×3
=2×2×3×5
=60cm²
On side 17cm,
Ar. of triangle=1/2×b×h
60=1/2×17×h
∴h=60×2/17
=7.05 cm
Answer:
c
Step-by-step explanation:
Asking this question again,help me please
[tex]r(1) = (2 \: .1 \: . \frac{2}{3} )[/tex]
[tex]r(0) = (0 \: .0 \: .0)[/tex]
[tex] \gamma r =( 2 \: .1 \: . \frac{2}{3} )[/tex]
[tex]l = \sqrt{2 {}^{2} + 1 {}^{2} + \frac{4}{9} } [/tex]
[tex]l = \sqrt{4 + 1 + \frac{4}{9} } [/tex]
[tex]l = \sqrt{ \frac{36 + 9 + 4}{9} } [/tex]
[tex]l = \sqrt{ \frac{49}{9} } = \frac{7}{9} [/tex]
(I'm not sure of my answer tho)
Normally I'd see a plus sign between the x,y and z values of the r(t) equation, so im assuming these represent the x,y,z coordinates in terms of t.
So i calculated ∆r(t) and found the length of the equation using the formula for length
Write 1001 as the product of it prime factors
Answer: 7 × 11 × 13 = 1001
Step-by-step explanation:
Solution: Since, the prime factors of 1001 are 7, 11, 13. Therefore, the product of prime factors = 7 × 11 × 13 = 1001.
Answer:
7 x 11 x 13
Step-by-step explanation:
1001
/ \
11 91
/ \
7 13
1001 = 11 x 7 x 13
can you guys please help me ❤️ !!
Answer: 0.05 9/20 67%
Explanation: 9/20 is 0.45% which is in the middle
PLEASE HELP ME!!!
3(6m + 4 + 2m)
Part A: Simplify the above expression. List each step you used to simplify and identify which algebraic property you used on each step. (6 points)
Part C: Show that your simplified expression from Part A is equivalent to the given expression by substituting 3 in for m. Show all your work. (4 points)
[tex]\\ \rm\Rrightarrow 3(6m+4+2m)[/tex]
[tex]\\ \rm\Rrightarrow 3(8m+4)[/tex]
[tex]\\ \rm\Rrightarrow 24m+12[/tex]
Done!
A window seat is in the shape of a trapezoid. Write the polynomial that represents the area of the window seat.
The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
What is the Area of a Trapezoid?Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
Learn more about area of trapezoid on:
https://brainly.com/question/1463152
A dinner plate is in the shape of an isosceles right triangle. The leg length is 13 inches. What is the length of the hypotenuse, round your answer to the nearest 10th?
Answer: 18.4 inches
Step-by-step explanation:
3(2+100)/4 which equation is solved for s
Answer: 76.5 I'm assuming the question is asking for the answer of 3(2+100)/4
Step-by-step explanation:
3(2+100) would become 3x102 which is 306 and when you divide it by 4 it becomes 76.5
A. To help her parents pay her tuition fee. Fhed save P5 more each week than she does precending week her savings in the first week
1. How much will she save on the twenty-fourth week ?
2. How much will she have in all by the twenty-four week?
Answer:
1. 120 P
2.tuition fee + 120
Step-by-step explanation:
1. you have to multiply 24 x 5 (24 represents the weeks , while 5 is how much she saved in a week )
2.tuition fee is unknown and the money earned in week is 120 . so the total cost will be the tuition fee plus 120 , in the twenty fourth week .
The lines are parallel find x
Kim solved the equation below by graphing a system of equations. log subscript 2 baseline (3 x minus 1) = log subscript 4 baseline (x 8) what is the approximate solution to the equation?
Answer:
C
Step-by-step explanation:
C) 1.4
Asia has 3 days to complete all 6 of her over due math assessments. Each day one more assessment is added on. How many assignments will Asia have to do per day to be done with her overdue assignments?
Answer:
3 a day.
Step-by-step explanation:
PLS ANSWER IN SCIENTIFIC NOTATION!!!
per day : 1500 x 200 = 300,000 texts
per week = 300,000 x 7 = 2,100,000 = 2,1 x 10⁶ texts
cuanto es 3 centenas -200
Answer:
100
Step-by-step explanation:
Answer:
The answer us 100 la respuesta es 100
The sum of 5 consecutive even numbers is 200
Answer:
36, 38, 40, 42, 44
Step-by-step explanation:
We can denote an even number as 2n (where n is a natural number).
Each consecutive even number will be 2 more than the previous number.
Let 1st number = 2n
⇒ 2nd number = 2n + 2
⇒ 3rd number = 2n + 4
⇒ 4th number = 2n + 6
⇒ 5th number = 2n + 8
Sum of all 5 numbers is 200.
⇒ 2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 200
⇒ 10n + 20 = 200
⇒ 10n = 180
⇒ n = 18
If n = 18, then 2n = 36
Therefore, the numbers are 36, 38, 40, 42, 44
Please help me? I really need the answer.
Answer:
20
Step-by-step explanation:
Let the number of people be x.
Rs. 1000 is distributed equally among x people, so each person gets 1000/x.
If there were 5 people more, there would be x + 5 people.
Then, each person would get 1000/(x + 5). Each of the x + 5 people would get Rs. 10 less than before.
1000/x - 10 = 1000/(x + 5)
Multiply both sides by the LCD, x(x + 5).
x(x + 5) × 1000/x - x(x + 5) × 10 = x(x + 5) × 1000/(x + 5)
(x + 5) × 1000 - (x² + 5x) × 10 = x × 1000
1000x + 5000 - 10x² - 50x = 1000x
5000 - 10x² - 50x = 0
10x² + 50x - 5000 = 0
x² + 5x - 500 = 0
(x + 25)(x - 20) = 0
x + 25 = 0 or x - 20 = 0
x = -25 or x = 20
The actual number of people is 20.
Check:
Rs. 1000/20 = Rs. 50
Rs. 1000 divided equally among 20 people gives Rs. 50 per person.
If there are 5 people more, then there are 25 people.
Rs. 1000/25 = Rs. 40
Rs. 1000 divided by 25 people gives Rs. 40 per person which is Rs. 10 less per person.
Our solution is correct.
If f(-7)=14, what order pair does this represent?
Answer:
(-7, 14)
Step-by-step explanation:
The function f(x) is equal to the y-coordinate. The value inside of the parenthesis is the x-coordinate, so it would be -7 in this problem.
what is the factor of these general trinomial 2x2 - 5x - 12??
Answer:
(x - 4)(2x + 3)
Step-by-step explanation:
Given
2x² - 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant which sum to give the coefficient of the x- term.
product = 2 × - 12 = - 24 and sum = - 5
The factors are - 8 and + 3
Use these factors to split the x- term
2x² - 8x + 3x - 12 ( factor the first/second and third/fourth terms )
= 2x(x - 4) + 3(x - 4) ← factor out (x - 4) from each term
= (x - 4)(2x + 3) ← in factored form
The factors are (x - 4) and (2x + 3)
what is the 1st square number
enter the volume of n for the equation 5n = 511 •53 (no links)
Answer:
5416.6
Step-by-step explanation:
use a calculator
Company A is offering 213 pounds of chocolate for $19.95, while Company B is offering 135 pounds of the same chocolate for $15.00. Which company is offering the lowest price per pound?
WILL MARK BRAINIEST!!!!!
Answer: company A
Step-by-step explanation: i did this on a quiz and got it right
What actually the value of X because I’m still processing how this goes. Can someone pls help me
Answer:
x= 50
Step-by-step explanation:
I forgot what it's called but basically 101+x+29= 180 because it's straight line. So you can just go ahead and add 29 and 101 to get 130 and subtract that from 180 to get 50.
i would like to know how to decrease 280 by 73%
Answer:
75.6
Step-by-step explanation:
100% - 73% = 27%
27% = 0.27
280 × 0.27 = 75.6
(-1/6)^2+4/9(-1/7)=
50 + 2/1000 =
a) 50.2
b) 5.02
c) 50.02
d) 0.502
Answer:
option c is the correct one
Find the perimeter of the figure to the nearest hundredth.
will not click links
Answer:
44.71
Step-by-step explanation:
add all the sides
for the semicircle you do 2r+pi*r
A box contains five cards lettered A, A, B, C, D. If one card is selected at random from the box and NOT replaced, what is the probability that Jack will draw a “D” and then an “A”?
Answer:
There is a 1/10 chance you draw an A and then D 10% chance
Step-by-step explanation:
Probablitiy of drawing a D is 1/5, If the card is not replaced, then there are only 4 cards left. Probability of drawing an A is 2/4 (1/2)
1/5 x 2/4
1 x 2 = 2 2/2 = 1
5 x 4= 20 20/2 = 10