Answer:
The equation of the line is y = -x + 8
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0)The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineFrom the given figure
∵ The line passes through points (8, 0) and (0, 8)
∴ x1 = 8 and y1 = 0
∴ x2 = 0 and y2 = 8
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{8-0}{0-8}=\frac{8}{-8}=-1[/tex]
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is value y at x = 0
∵ At x = 0, y = 8
∴ b = 8
→ Substitute it in the equation above
∴ y = -x + 8
∴ The equation of the line is y = -x + 8
What is the solution for the
equation x+1 = x+2?
Answer:
nosoulutions
Step-by-step explanation:
Answer:
There are no solutions.
Step-by-step explanation:
X
GEOMETRY The sum of the measures of
the angles of a triangle is 180°.
Find the missing measure.
35°
45
Answer:
Step-by-step explanation:
Sum of all three angle in a triangle=180
Given angles are 35°,45°
Let the remaining angle =x
So 35 +45+X=180
X=180-80
X=100°
Remaining angle =X=100° is the answer
Which equation represents the vertical line passing through (1.-9)?
A X=-9
В. x= 1
C y=-9
D. y = 1
Answer:
B
Step-by-step explanation:
if it is a vertical line, x=1 for all values of y
Answer:it’s B i just took this
Step-by-step explanation:
Steph bought a used bicycle, restored it, and then marked it up 1/4 of the price she paid. Later she sold it for the marked up price $80. How much, in dollars did Steph pay for the bicycle
Price she paid, P = $80 .
She sells the bicycle at 1/4 of the price she paid.
Let, buying price is x.
So, as given in question selling price will be x/4.
Also, selling price is given as $80 .
[tex]\dfrac{x}{4}=80\\\\x = \$320[/tex]
Therefore, Steph pay $320 for the bicycle.
Hence, this is the required solution.
What is a line? Why might the graph of a function be represented
by a line?
Definition:
A line is a one-dimensional figure, characterized by its length but no width (thickness). A line is made of a set of points which is extended in opposite directions infinitely.
A line is determined by two points in a two-dimensional plane such as the x-y plane.
The graph of a function can be represented by a line because all points on the line provide a solution to the function. Such functions are usually linear functions.
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last month kiera ran 22 more miles than bianca did if they ran a combined total of 86 miles how many miles did bianca run
Answer:
54 miles
Step-by-step explanation:
86 - 22= 64. 64÷2= 32. BIANCA RAN 32 MILES. 32 + 22= 54. kiera ran 54 miles
Bianca ran 32 miles last month while Kiera ran 54 miles (22 more) for a combined total of 86 miles.
Let x = miles Bianca ran
x + 22 = miles Kiera ran
combined total of their miles is 86 miles
x + (x + 22) = 86
solving for x
2x + 22 = 86
2x = 86 - 22
2x = 64
x = 64 / 2
x = 32
therefore, Bianca ran for 32 miles.
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The following are the ages (years) of 5 people in a room:
21, 24, 18, 15, 15
A person enters the room.
The mean age of the 6 people is now 16.
What is the age of the person who entered the room?
Answer:
3 years old
Step-by-step explanation:
( 21 + 24 + 18 + 15 + 15 + x ) / 6 = 16
93 + x = 96
x = 3
The person who entered the room is 3 years old.
Answer:
3 years old
Step-by-step explanation:
x= age of the person who entered the room
The sum of 21,+ 24,+ 18,+ 15,+ 15 = 93
(93+x ) divided into 6 = 16
Multiply both sides by 6
93+x = 96
x=3
93+3= 96
96/6 = 16
Please help due in a hour!!
Answer:
f(x)=1/2(x-4)^2+2
can someone please help me with this question and show how you figured it out please. ill give brainlyest
Answer:
all real numbers
Step-by-step explanation:
It gives me 0
One inlet pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours. How long will it take the pipe to fill the pool if the drain is left open?
Answer:
48 hours
Step-by-step explanation:
So one Pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours.
So let's just say that x is the value for how much the pool was filled, and y is the time taken.
So which means :
X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]
[tex]\frac{1}{12}[/tex] represents the volume of the tank being filled up in one hour while [tex]\frac{1}{16}[/tex] represents the volume of the tank being drained in one hour. By subtracting, we get to know the volume of the tank being filled up in one hour.
So, we solve the equation.
To find X, we make the denominator of the two fractions the same.
X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]
= [tex]\frac{1(4)}{12(4)}y[/tex] - [tex]\frac{1(3)}{16(3)}y[/tex]
= [tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex]
Then, we subtract.
[tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex] = [tex]\frac{1}{48}y[/tex]
[tex]\frac{1}{48}[/tex] is the volume of the pool that is filled in one hour
Finally, we find the time taken for the pipe to fill the pool.
If one hour fills [tex]\frac{1}{48}y[/tex] of the pool, then :
1 = [tex]\frac{1}{48}y[/tex]
y = 48 hours.
So, the time taken for the pipe to fill the pool with the drain left open is 48 hours.
HOPE THIS ANSWER HELPED :)someone please help :)
a school has 294 chairs.there are 14 chairs at each table. two chairs will be removed from each table.how many chairs will be left in the cafeteria?
Answer:
252
Step-by-step explanation:
because there are 14 chairs at each table => there are: 294/14= 21 (tables)
two chairs will be removed from each table => the number of chairs removed are: 21.2 = 42 (chairs)
the chairs will be left in the cafeteria are: 294 - 42 = 252( chairs)
When two chairs will be removed from each table, then there would be 252 chairs left in the cafeteria.
The dividend divisor quotient remainder formula:Dividend = Divisor × Quotient + Remainder.
For given question,
total number of chairs = 294
there are 14 chairs at each table.
So, to find the number of tables in the cafeteria we need to divide total number chairs by 14.
The number of table would be,
= 294/14
= 21
This means, there are 21 tables.
If we remove two chairs from each table, then number of chairs at each table would be 14 - 2 = 12
So, the total number of chairs left in the cafeteria would be,
= 21 × 12
= 252
Hence, there will be 252 chairs left in the cafeteria.
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Question 1 (1 point)
Sava
1 Sarah is saving for a new car. She has the following amount in her account $175 $225. $275
and $325 after weeks 1.2.3 and 4 respectively.
How much will she have after 10 weeks?
6
• 675
575
625
600
Question 21 point)
Answer:
am sorry
Step-by-step explanation:
i had to do it for more pts
325 × 10
3350
sorry am lost need help
Which of the following quantities are directly proportional? Amount of candy you can buy and the price if the amount of money you spend is constant.
Answer:
Not directly proportional
Oh and can you give me brainliest
Can somebody please help me
Answer:
26/24
Step-by-step explanation:
you multiply 1 by 8 and 6 by three as well as 3 by 8 and 8 by three to get 8/24 and 18/24 . now that you have a common denominator, you can add the two together to get 26/24
Anna bought 5 1/10 (Five and one tenth)
gallons of gas that cost $1.39 per gallon.
What is the total cost of the gas?
Round to the nearest hundredth.
Answer:
$7.09
Step-by-step explanation:
Multiply 5.1 * 1.39 which equals 7.089. Then round to the nearest hundreth which will be 7.09.
 Write an equation in slope intercept form of the line shown. (4,1) (8,4)
Answer:
Y = 3/4x - 2
Step-by-step explanation:
Slope (rise/run) is 3/4 and the y-intercept is -2.
Hope this helps. Pls give brainliest.
An equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.
The given coordinate points are (4, 1) and (8, 4).
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Here, slope = (y2-y1)/(x2-x1)
= (4-1)/(8-4)
= 3/4
Put m=3/4 and (x,y)=(4,1) in y=mx+c
1=3/4 (4)+c
⇒c=-2
Now, substitute m=3/4 and c=-2 in y=mx+c and simplify
That is y=3/4 x-2
Therefore, an equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.
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There are 8 puppies in a litter of Lab puppies. 5 of them are chocolate colored. What percent of the puppies are NOT chocolate-colored?
Answer:
37.5
Step-by-step explanation:
It is really a simple equation, you are only dividing.
Hope this helps! ;)
fine the exact rationalized value of sin(25π/6)
The new Kyrie 5's Pineapple House shoes came out yesterday. (FOR REAL) They cost $200, but you have a 20% off discount. How much is your discount?
1. A local pizzeria sold 65 pizzas yesterday.
(step 1) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
(Part 2) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
Answer:
Part 1
Pizzas sold last day = 65
Increasement needed in sale = 20%
pIzzas to be sold today
= 65 + 20% of 65
= 65 + 20/100 × 65
= 65 + 1/5 × 65
= 65 + 1/1 × 13
= 65 + 13
= 78
Part 2
Pizzas sold last day = 65
Pizzas sold today = 60
60 = 65 + x% of 65
60 = 65 + x/100 × 65
60 - 65 = x/20 × 13
- 5 = x/20 × 13
-5/13 = x/20
-5/13 × 20 = x
-7.692 = x
Therefore, there was a decrease in pizza sale by 7.692%
By rounding off,
The decrease in pizza sale was by 7.700%.
= 7.7%
pls help will give BRAINLIEST BRAINLIEST to correct answer
Step-by-step explanation:
This is a guess but wouldn't you multiply each side by (0.8)
12(0.8)= 9.6
10(0.8) =8
10(0.8)=8
16(0.8)= 12.8
perimeter= all sides added together
9.6+8+8+12.8= P
P=38.4?
Answer:
This is a guess but wouldn't you multiply each side by (0.8)
12(0.8)= 9.6
10(0.8) =8
10(0.8)=8
16(0.8)= 12.8
perimeter= all sides added together
9.6+8+8+12.8= P
P=38.4?
Step-by-step explanation:
I did this so you can mark the other guy brainliest, its their answer and they deserve all the credit. Make sure to thank them!
x/2-4/5+x/5+3x/10=1/5
Answer:
x = 1
Step-by-step explanation:
Given
[tex]\frac{x}{2}[/tex] - [tex]\frac{4}{5}[/tex] + [tex]\frac{x}{5}[/tex] + [tex]\frac{3x}{10}[/tex] = [tex]\frac{1}{5}[/tex]
Multiply through by 10 ( the LCM of 2, 5 and 10 ) to clear the fractions
5x - 8 + 2x + 3x = 2 , that is
10x - 8 = 2 ( add 8 to both sides )
10x = 10 ( divide both sides by 10 )
x = 1
answer
answer in picture.
☺☺☺☺☺☺☺
a. What is the distance between points and K? Show
your work.
Answer:
Can you attach a picture?
Step-by-step explanation:
Put it DB and I'll gladly answer!
which of the ratios below is equivalent to 8:5? Select all that apply
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Ratio and Proportions.
Thus the equivalent ratio to 8:5 will be,
24:15 , 40:25 and 16:10
because, here if we reduce by common multiple 24:15 , 40:25 and 16:10 both , we will get as 8:5
so the correct answer is c.) 40:25 and e.) 16:10 b.) 24:15
Select all ratios equivalent to 1:2
Step-by-step explanation:
Y=-4/5x - 4 find the x and y intercepts
Answer:-5 is the x-intercept, -4 is the y
Step-by-step explanation:y intercept is when x=0, and the other way around
please help, we have 0 brain cells left
Answer:
no solution
Step-by-step explanation:
If f(x) = 3x + 2, what is f(5)?
O A. 1
OB. 10
O C. 17
O D. 13
Answer:
Option C
Step-by-step explanation:
[tex]f(x)=3x+2\\\\f(5)=3(5)+2\\\\f(5)=15+2\\\\\boxed{f(5)=17}[/tex]
Hope this helps.
Given:
f(x) = 3x + 2
To Find:
f(5)
Answer:
C. 17
Step-by-step explanation:
Evaluate 3x + 2 where x = 5:
[tex] \longrightarrow [/tex] 3 × 5 + 2
3 × 5 = 15:
[tex] \longrightarrow [/tex] 15 + 2
15 + 2 = 17:
[tex] \longrightarrow [/tex] 17
A student walks 2 miles to the post office to mail a package. He then returns home. What is the distance he traveled
Answer:
4 miles
Step-by-step explanation:
because 2 there and 2 back would be 4
Joe is solving a quadratic function by graphing. He gets -1, -2, and 2 as the solutions to the quadratic. What error did Joe make and what is the correct answer to the quadratic?
Answer:
There are only two roots of a quadratic.
Step-by-step explanation:
Not sure how Joe got three, but he did something incorrectly.