find the distance from the point (6,4) to the line y=x+4
Answers
9514 1404 393
Answer:
3√2
Step-by-step explanation:
The distance from point (x, y) to the line ax+by+c=0 is given by ...
d = |ax +by +c|/√(a²+b²)
In general for, the equation of the line is ...
x -y +4 = 0
so the distance formula is ...
d = |x -y +4|/√(1² +(-1)²) = |x -y +4|/√2
For the given point, the distance is ...
d = |6 -4 +4|/√2 = 6/√2
d = 3√2 . . . . distance from the point to the line
Related Questions
What is the quotient and the remainder of 7 divided by 5839
Answers
Answer: 834.142857143
Step-by-step explanation: I did it on paper this is like 3rd grade math.
Which of the following is FALSE?
A. A midpoint divides a segment into two equal parts.
B. An angle bisector divides an angle into two equal parts.
C. All right angles are congruent.
D. Vertical angles are acute angles?
Answers
Answer:
D
Step-by-step explanation:
Vertical angles are just angles formed by intersecting lines, there is no rule that states they must be acute (they can also be right or obtuse)
The option that is False is that Vertical angles are acute angles.
What is the meaning of the term congruent?In mathematics, the term congruent means a figure, shape, or angle that has two equal parts, size, and length.
It is true that the midpoint of a segment refers to the line that splits the segment into two congruent(equal parts)Also, at any two equidistant points, an angle bisector divides an angle into two equal parts.All right angles are also congruent to one another.However, vertical angles assume a right angle and they are perpendicular to the straight line which makes them 90°, but we know that acute angles are angles that are less than 90°.
Therefore, we can conclude that vertical angles are not acute angles.
Learn more about congruent angles here:
https://brainly.com/question/24281994
#SPJ5
Find the slope and the y-intercept of the graph of the linear equation.
Answers
Explanation
The given equation y = 2x+3 is in the form y = mx+b
Compare the terms to see that 2x matches with mx, so m = 2
The other term matches with b, so b = 3
m is the slope and b is the y intercept, so that's how I got those answers above.
Select the correct locations on the graph.
Select the lines that represent functions.
Answers
Answer:
i need that answer to
Step-by-step explanation:
Answer:
the top on the right.
Step-by-step explanation:
Seven friends went out to lunch they each started with the same amount of money and they each spent six dollars they ended with a combined total of $42 how much did each of them have to start
Answers
Answer:
I think so
7 friends went lunch
they same amount money =$6
total they ended=$42
each of them have to start =42/6=7
Brainliest If correct help
Answers
Answer:
I already answered before but i hope u see this 1, the 1st option
Step-by-step explanation:
PLZ do it. hope it helps :)
Have a nice day :)
For what value of X must ABCD be a parallelogram?
Answers
Answer:
x = 9
Step-by-step explanation:
If ABCD is a parallelogram, then 6x = 7x - 9
as the point of intersection of the 2 diagonals is the midpoint of AC
6x = 7x - 9
Subtract 6x from both sides:
⇒ 0 = x - 9
Add 9 to both sides:
⇒ 9 = x
Solution:
We know that:
[tex]\frac{AC}{2} = 6x[/tex]This means that:
[tex]AC = (6x)(2) = 12x[/tex][tex]AC = 12x = 6x + 7x - 9[/tex]Step-by step calculations:
Simplify the RHS:
[tex]12x = 6x + 7x - 9[/tex]=> [tex]12x = 13x - 9[/tex]Subtract 13x both sides:
=> [tex]-13x + 12x = 13x -13x - 9[/tex]=> [tex]-x = -9[/tex]Divide -1 both sides:
=> [tex]-x = -9[/tex]=> [tex]\frac{-x}{-1} = \frac{-9}{-1}[/tex]=> [tex]x = 9[/tex]In the figure Line “P” is the ____?
Answers
Answer:
"line of reflection."
Step-by-step explanation:
It appears as though the figure on the left is a reflection of the figure on the right across the line. Hence line P is the line of reflection.
( 1 + 1 ) + ( 1 + 1 + 1 ) in standard form
Answers
Answer:
Scientific Notation: 3.45 x 10^5
E Notation: 3.45e5
Step-by-step explanation:
literally impossible to put in standard form
What is the equation of the line that passes through the point (-6,3) and has a slope of -2/3?
Answers
Answer:
[tex]y = -\frac{2x}{3} - 1[/tex]
I hope this helps!
Given the scale factor R = 1/3, if AB = 12 cm, how ling is A’B’?
A. 36 cm
B. 3 cm
C. 8 cm
D. 15 cm
E. 4 cm
Answers
Answer:
E. 4 cm
Step-by-step explanation:
Given:
Scale factor (R) = [tex] \frac{m_{image}}{m_{preimage}} = \frac{1}{3} [/tex]
AB = 12 cm
Required:
Length of A'B'
SOLUTION:
A'B' = length of the image = x cm
AB = length of the preimage = 12 cm
Thus, using the scale factor given, the length can be calculated as shown below:
[tex] \frac{m_{image}}{m_{preimage}} = \frac{x}{AB} = \frac{1}{3} [/tex]
[tex] = \frac{x}{12} = \frac{1}{3} [/tex]
Multiply both sides by 12
[tex] \frac{x}{12}*12 = \frac{1}{3}*12 [/tex]
[tex] x = \frac{12}{3} [/tex]
[tex] x = 4 [/tex]
x = A'B' = 4 cm
3.Paul owes his father $56.78. He borrows $20 more from his father. Write an expression to represent his debt. Helpp plzzz asap
Answers
Q14 what will be the Perimeter of a
rectangle having dimensions 2cm
by 3 cm?
Answers
Your answer is 10cm
2l + 2w
4+6=10cm
CONSIDER BRAINLIEST.
Answer:
perimeter: 10 cm
explanation:
perimeter of rectangle: 2 ( length + width )
using this formula:
2( 2 + 3 )
2 ( 5 )
10 cm
Simplifiy:
2a+5a
12x-3x
3p+2p-p
Answers
Enter the improper fraction as a mixed number.
23/9
Answers
Answer:
2 5/9 is the mixed number
Step-by-step explanation:
2x9=18
23-18=5
Answer:
2 5/9
Step-by-step explanation:
Just divide by 9 and leave the remainder over 9
So 23/9 is 2 R 5
So the answer is 2 5/9
What score would you need to get on the fifth test to have an average of 90% or higher if your first four scores were 87%, 82%, 91%, and 95%
Answers
Answer:
89!
Step-by-step explanation:
There could be multiple ways of doing this. I would personally...
Add all the test scores together.
Then divide the amount of scores.
For example:
90 + 87 + 82 + 91 + 95 = 445
445 / 5 = 89!!
A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule?
(x, y) → (x + 4, y – 8)
(x, y) → (x – 4, y – 8)
(x, y) → (x – 8, y + 4)
(x, y) → (x + 8, y – 4)
Answers
Answer:
(x, y) → (x – 8, y + 4)
Step-by-step explanation:
Given:
A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y).
To Find:
Which is another way to write this rule?
Solve:
Therefore the answer is (x, y) → (x – 8, y + 4)
!Lenvy~
Answer:
(x, y) → (x – 8, y + 4)
Step-by-step explanation:
a drama club sells tickets to a performance. The cost is $1 for each adult and students are free.
What is the total cost for 2 adults and 4 students?
Answers
Answer:
$2
Step-by-step explanation:
2 adults x $1 = $2
4 adults x $0 = $0
$0 + $2 = $2
Jana can spend, at most, $200 on school clothes.
Which inequality represents the amount that Jana can spend on clothes?
Answers
Answer:
I believe the answer is c
PLEASE HELP ME ASAP! CLICK ON THE PICTURE AND ZOOM IN TO HELP ME!
Answers
Answer:
A.
Step-by-step explanation:
Janes Raise: 4% of 41,200:
1648
Johns Raise; 4.5% of 43,900:
1975.4
Jacks Raise: 3% of 39,700:
1191
1648+1975.5+1191 = 4,814.5 which is about $4,815
To calculate the unit price of an item, divide the total number of units by the total price.
Please select the best answer from the choices provided
Answers
Answer:
False
Step-by-step explanation:
To calculate the unit price of an item, divide the total number of units by the total price is a "false statement." To calculate the unit price of an item, you have to understand that unit price means price per unit. To find the unit price we divide the total cost by the amount of items we are given in the question.
Example:
Sarah has 12 apples, she paid 20 dollars for all 12 apples, what is the unit price?
[tex]unitp=cost\div quantity[/tex]
[tex]unit=20\div12=1.66666667[/tex]
[tex]=1.66666667[/tex]
Round the answer to the nearest cent:
[tex]1.66666667[/tex]
[tex]6 > 5[/tex]
[tex]=1.67[/tex]
Which means the unit price of the 12 apples is "$1.67."
Hope this helps.
Find the square of 75.
Answers
Answer:
8.66025 or 5√3
Step-by-step explanation:
Factor
25
out of
75
.
√
25
(
3
)
Rewrite
25
as
5
2
.
√
5
2
⋅
3
Pull terms out from under the radical.
5
√
3
The result can be shown in multiple forms.
Exact Form:
5
√
3
Decimal Form:
8.66025403
Rate of Change Find the rate of change given 2 points 1. (9, 4)(7,8) 2. (0,5) (5, 15) (-8, -2)(-3, 10) (5, 12)(5, 12) 5. (23, 43)(56, 17) 3. A.
Answers
Answer:
(y₂ - y₁) / (x₂ - x₁)
Step-by-step explanation:
missing fraction please
Answers
Answer:
4/10
Step-by-step explanation:
You ignore the bottoms so you will need to subtract the3 from the 7 getting you 4.
Now you can put the 4 back on top of the 10 so you will have a fraction, 4/10 :)
Have a great day!!
Please rate and mark brainliest!!
PLEASE HELP FAST triangle abc is translated 4 units down and 6 units right, resulting in triangle A’B’C’
Answers
Answer:
D. (6,-1)
Step-by-step explanation:
Translating is just sliding slide the point B down 4 units from where it is and then move over 6 units to the right.
Please help
What are all the possible
outcomes that add up to
7 when you roll two
dice? Include 3+4 and
4+3.
Please help
Answers
Answer:
5+2, 2+5, 4+3, 3+4, 6+1, 1+6, 7+0, 0+7
Step-by-step explanation:
Hope this helps!
What is the scale factor from A to B? Be sure to simplify:
Answers
Answer:
1 : 4
Step-by-step explanation:
the scale factor is the ratio of corresponding sides , that is
4 : 16 = 1 : 4
What is the surface area of a box with a length of 6 ft, a width of 3 ft, and a height of 2½ ft?
Answers
Answer:
Step-by-step explanation:
Remark
The surface area is the area of all six sides when the object is a box.
Formula
SA = 2*L*w + 2*L*h + 2*w*h
Givens
L = 6 ft
w= 3 ft
h = 2.5 feet
Substitute and Solution
SA = 2*6*3 + 2*6*2.5 + 2*3*2.5
SA = 36 + 30 + 15
SA = 81
x 4 -3x + 1, 4x 2 - 2x + 8, and x 3 - 9
??????
Answers
Answer:
-x +8 is the answer maybe
Maribel was approved for a 7-year private student loan at 6.8% to cover her college costs of $10,900. . Determine her monthly payment. Round to the nearest cent. What is the total amount she will pay back? What is the total interest amount?
Answers
The total interest amount, the total amount to be paid, and her monthly payment over 7 years is mathematically given as
X=741.2Y=11641.2z=138.5857What is the total amount she will pay back and the total interest amount?Question Parameters:
Maribel was approved for a 7-year private student loan at 6.8%
costs of $10,900
Generally, the total interest amount is mathematically
given as
X=10900*0.068
X=741.2
Therefore total amount to be paid is
Y=10900*741.2
Y=11641.2
In conclusion, her monthly payment over 7 years
z=11641.2/(7*12)
z=138.5857
Read more about Interest
https://brainly.com/question/2455673
Answer:
Step-by-step explanation:
The total interest amount, the total amount to be paid, and her monthly payment over 7 years is mathematically given as
X=741.2
Y=11641.2
z=138.5857
What is the total amount she will pay back and the total interest amount?
Question Parameters:
Maribel was approved for a 7-year private student loan at 6.8%
costs of $10,900
Generally, the total interest amount is mathematically
given as
X=10900*0.068
X=741.2
Therefore total amount to be paid is
Y=10900*741.2
Y=11641.2
In conclusion, her monthly payment over 7 years
z=11641.2/(7*12)
z=138.5857