The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1, 6) and
B(6, 1). Find the equation of the line that contains the given segment.
The line segment is AB.
The equation is y =
Answer:
The equation is:
[tex]y = -x + 7[/tex]
Step-by-step explanation:
Given the endpoints of a side of a rectangle
A(1, 6)B(6, 1)Finding the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]
[tex]m=\frac{1-6}{6-1}[/tex]
[tex]m=-1[/tex]
Using the point-slope form of a line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -1 and the point (1, 6)
[tex]y - 6 = -1 (x - 1)[/tex]
[tex]y - 6 = -x + 1[/tex]
[tex]y = -x + 1 + 6[/tex]
[tex]y = -x + 7[/tex]
Thus, the equation is:
[tex]y = -x + 7[/tex]
Find the value of “X”
Answer:
x = 27
Step-by-step explanation:
(3x - 17) + (x + 40) + (2x - 5) = 180
6x = 17 - 40 + 5 + 180
6x = 162
x = 27
Answer:
The value of x is 27°.
Step-by-step explanation:
Given that total angles inna triangle is 180°. In order to find the value of x, you have to add up all the expressiobs to form 180° :
(3x - 17)° + (x + 40)° + (2x - 5)° = 180°
6x + 18° = 180°
6x = 180° - 18°
6x = 162°
x = 162° ÷ 2
x = 27°
Write an equation of the line with a slope of -2/7 and a y-intercept of 5
Y=_____
Answer:
y= -2/7 +5
Step-by-step explanation:
The equation of the line with a slope of -2/7 and a y-intercept of 5 is y=-2/7 x+5.
Given that, slope (m) =-2/7 and y-intercept (c) =5.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The standard form of the slope intercept form is y=mx+c.
Put m=-2/7 and c=5 in y=mx+c, we get
y=-2/7 x+5
Therefore, the equation of the line with a slope of -2/7 and a y-intercept of 5 is y=-2/7 x+5.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
if i get this wrong i am suing brainly
Look at the table showing prices of different items at a grocery store.
Items for Sale
Watermelons
$14.97 for 3
Boxes of Cereal
$15.80 for 4
Bags of Pretzels
$10.77 for 3
Ice Cream
$18.36 for 4
Which items cost less than $3.99 per item?
A. boxes of cereal and bags of pretzels
B. ice cream and watermelons
C. bags of pretzels and watermelons
D. watermelons and boxes of cereal
Answer:
A
Step-by-step explanation:
It pretty easy, I just estimate and it should be fine
water melons is >4 (15/3=5)
cereal is <4 (16/4=4 but its 20 cents less so the greatest that could happen is a 2 cent or 5 cent off but either way It’s still less than 3.99)
Pretelzels is <4 (11/3=3 2/3 which is les than 3.99)
icecream is >4 (19/4=4.75)
Answer:
Boxes of ceral and bags of pretzels
Step-by-step explanation:
Jeremy bakes two pans of brownies that are the same size. One pan has nuts in it and the other pan does not. He cuts the pan with nuts into 8 equal pieces. He cuts the pan without nuts into 16 equal pieces. His friends eat 2 brownies with nuts and 3 brownies without nuts. Did they eat more of the brownies with nuts or without nuts?
Answer:
The answer is "[tex]\frac{2}{8} > \frac{3}{16}[/tex] So, they eat more brownies with nuts".
Step-by-step explanation:
In the given question, the two browny pans of equal size are baked by Jeremy. There is indeed a saucepan with nuts in it, not the other pan. He split the pot into eight equal chunks with nuts. He slices the pan into 16 equal parts without nuts. His mates eat 2 nuts brownies and three nut-free brownies. They eat more nuts and brownies [tex]\frac{2}{8} > \frac{3}{16}[/tex] eat more.
HELP.
C=
5
9
(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
sorry dear kyaa aap one one question daal skte haiToday’s weather report states that it is highly likely to snow today. Which probability best represents the chance of snow today?
A.
0.05
B.
0.50
C.
0.95
D.
1.00
A bag of skittles contains 4 red skittles, 3 green skittles, 2 orange skittles, and 1 purple skittle. What is the probability that you randomly choose a skittle that is green, do not replace it, and then draw a purple skittle?
Answer:1/30
Step-by-step explanation:
green: 3/10
purple don't replace: 1/9
3/10*1/9=1/30
the map of the park shows that are Pond is 4 inches away from the playground the scale of a map is 1 inch represents 5.25 M how far apart are the actual pond and playground.
Answer:
21 meters
Step-by-step explanation:
Each inch is 5.25 meters, so you multiply 4(the number of inches) by 5.25(how much 1 inch represents) to get a final answer of 21. Hope this helps!
What function is even
Answer:
A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.
a farm lets you pick 4 cups of peanut butter for 10$ . How many cups do you get per dollar?
Answer : 2.5 cups per dollar
Step-by-step explanation:
You need to find to unit rate 4 cups divided by 10$ is 0.40$. Then you need to divided 0.40 into a dollar (which would be 1.00) so 1.00 divided by 0.40 is 2.5 cups
The cost of a hoodie is $42.00 plus 7% sales tax. What is the sales tax, in dollars and cents, on the
hoodie?
A. $2.94
B. $294
C. $29.40
D. $0.29
Answer:
A. 2.94$
Step-by-step explanation:
You have to multiply 42 by the percentage converted into a decimal so 7 percent would be .7.
42x.7= 2.94
If p is inversely proportional to the square of q, and p is 28 when q is 3, determine p when q is equal to 2.
Answer:63
Step-by-step explanation:
Which of the following points is on the line whose equation is 2x - y = 3?
(-1, -5)
(0, 3)
(2, -1)
(3, 2)
What is cos k ?
A 25/7
B 25/24
C 7/25
D 24/25
Answer:
c 7/25
Step-by-step explanation:
edge 2021
Pls help with a and b
Part a: The value of x such that the both lines are parallel to each other is (x = 12).
Part : The value of y such that the both lines are parallel to each other is (y = 108).
What is defined as the corresponding angles?Corresponding angles are generated when two parallel lines have been intersected by a transversal. The definition of corresponding angles states that when two parallel lines intersect with a third, the angles that take up the same relative position at every intersection are said to be corresponding angles to one another.In the given figure;
Part a: For making the lines w and t parallel to each other; their corresponding angles must be equal.
Thus,
4x + 60 = 9x
Solving;
9x - 4x = 60
5x = 60
x = 12
Thus, the value of x for which both lines w and t are parallel is 12.
Part b: For making the lines u and v parallel to each other; their corresponding angles must be equal.
Thus, 9x = y
Put x = 12.
y = 9×12
y = 108.
Thus, the value of y for which both lines u and v are parallel is 108.
To know more about the corresponding angles, here
https://brainly.com/question/22190474
#SPJ9
in quadrilateral ABCD what is m
Answer:
B.99°
Step-by-step explanation:
105°+ 66°+90°+ angle c=360°
angle c= 360° - 261
=99°
Is the equation proportional?
y = 2x + 6
Answer:
yep
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2x + 6 is equal
PLEASE HELP HELP PLEASE
solve:6x+2=2(x+4)-2
happy holidays!
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6x + 2 = 2(x + 4) - 2
Step 2: Solve for x
Distribute 2: 6x + 2 = 2x + 8 - 2Combine like terms: 6x + 2 = 2x + 6Subtract 2x on both sides: 4x + 2 = 6Subtract 2 on both sides; 4x = 4Divide 4 on both sides: x = 1Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 6(1) + 2 = 2(1 + 4) - 2Multiply: 6 + 2 = 2(1 + 4) - 2Add: 8 = 2(5) - 2Multiply: 8 = 10 - 2Subtract: 8 = 8Here we see that 8 does indeed equal 8.
∴ x = 1 is the solution to the equation.
Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)
Answer:
Growth rate is -0.25
Growth factor is 0.75
Step-by-step explanation:
The general form of an exponential equation is;
y = a(1 + r)^x
Where a is the initial value
r is the growth rate
For x = 3; we have
168.75 = 400(1 + r)^3 •••• (i)
For x = 2, we have
225 = 400(1 + r)^2 •••••(ii)
Divide i by ii
That will be;
168.75/225 = 1 + r
1 + r = 0.75
r = 0.75-1
r = -0.25
The growth rate is -0.25
The growth factor is 1-0.25 = 0.75
Determine the cost of 31 guests.
Party B: $850 flat fee for 31 to 50 guests
Answer:
b
Step-by-step explanation:
31x 1 is 850
4x+8=7.2+5x
solve for x
Answer:
x = 0.8
Step-by-step explanation:
We are given this equation:
4x+8=7.2+5x
And we want to solve it for x.
To solve equations, we need to isolate the variable (x) on one side, and the numbers on the other side.
First, we can clear the numbers from the right side by subtracting 7.2 from both sides.
4x + 8 = 7.2 + 5x
-7.2 -7.2
_______________
4x + 0.8 = 5x
Now, we can subtract 4x from both sides.
4x + 0.8 = 5x
-4x -4x
_______________
0.8 = x
This can be rewritten to be: x = 0.8
The value of x is 0.8
Topic: solving equations
See more: https://brainly.com/question/28635147
Find the inverse function for: y=4x+3 plssss answer asap i have an exam
Answer:
(x-3)/4=y
Step-by-step explanation:
substitute x for y and y for x
x=4y+3
subtract 3 from both sides
x-3=4y
divide both sides by 4
(x-3)/4=y
find the measure of angle k
NEED ANWERS ASAP 100 POINTS FOR CORRECT select the correct answer. x y 0 3 3 15 7 31 10 43 Which of the following linear equations corresponds to the table above? A. y = 4x - 3 B. y = 1/4 x - 3 C. y = 1/4 x + 3 D. y = 4x + 3 Rese
Answer:
theres is not table shown
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Solution in y-intercept form y=mx+b
We can calculate the slope of the line using any 2 of the given points: I pick (0,3) and (3,9) . Recall the formula for finding the slope of the line through 2 points (x1,y1) and (x2,y2) as m=(y2-y1)/(x2-x1)
By plugging in the corresponding values, we get (9-3)/(3-0)=6/3=2
Since we now the value of y when x is zero, i.e. the point (0,3) of the table, then the value of b is 3.
Now, putting everything together, we have y=2x+3
Solution in point-slope form y-y1=m(x-x1)
You can proceed the same way above to find the slope m=2
Now use one of the points in the given table to plug into x1 and y1
Doing the last 2 steps will result in y-23=2(x-10) if you use the point (10,23)
Realize that the point slope form of the equation of a line is not unique since using a different point will result in different values of x1 and y1. So the answer is A
Sam’s school is selling candles and baskets for a fundraiser. On the first day of sales she sold 11 candles and 3 baskets for a total of $82. She raised $114 on the second day by selling 12 candles and
6 baskets. What is the price for one candle and one basket?
Answer:
Okay, so its kinda funny that you ask this question because its on our performance final that's due tomorrow but use elimination.
Step-by-step explanation:
Question #2: What is the equation of the line in slope-intercept form?
Answer:
y = 1/2x + 4
Step-by-step explanation:
What is the answer to 69 x 420?
293160-1+1-1+1-1+1= your answer
:D
Answer:
28980
Step-by-step explanation:
nice
what is the range shown in this table
Answer:
14
Step-by-step explanation:
Range is, basically, the span of all y-values.
To find range, you take the highest y-value and subtract from it the lowest y-value.
Here the highest "y" is 7 and the lowest is -7, so the range is 14.