Answers
We need to know about distance of a point from a line to solve the question. The distance of point (9,5) from the line 4x-3y=-4 is 5 units.
The distance between two points is calculated by taking square root of the sum of the squares of the difference between the coordinates of the two points. But for the distance between a point and a line we can't use this formula. To find the distance between a point and a line we take the shortest distance between them which is the perpendicular distance between the point and the line. The perpendicular distance is the length of the perpendicular dropped on the line from the point. Let the point (x_,y_) and the line be ax+by+c=0 then the formula for the distance between them is given by
[tex]d=\frac{|ax_+by_+c|}{\sqrt{a^{2} +b^{2} } }[/tex]
Here (x_,y_) is (9,5) and the line is 4x-3y=-4
The distance between the line and the point is :
[tex]d=\frac{|36-15+4|}{\sqrt{16+9} }=\frac{25}{5} =5[/tex]
Therefore we found out that the distance between the point (9,5) and the line 4x-3y=-4 is 5 units.
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Related Questions
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per pound of apples, and y is the cost per pound of bananas.
5x + 3y = 8.5
3x + 2y = 5.25
If you multiply the first equation by 2, what number should you multiply the second equation by in order to eliminate the y terms when making a linear combination?
Complete the multiplication and add the equations. What is the result?
What is the price per pound of apples? $
What is the price per pound of bananas? $
Answers
Answer:
b, a, c, b
Step-by-step explanation:
8 days would be 4 or 2 to the second power answer
Answers
Answer:
2 to the 3 power
PLZ ANSWER ASAP ONLY IF CORRECT
Answers
Answer:
I think it's x=9 y=1
Step-by-step explanation:
3y+5=2y 20x-70=12x+2
+3y +3y -12x -12x
5=5y 8x-70=2
/5 /5 +70 +70
1=y 8x=72
/8 /8
x=9
Answer:
yh thats the answer hopee this work
is the order pairs (-4,2),(-1,2),(-1,-2),(1,0),(2,3) a function ?
Answers
(-1,2) and (-1,-2) makes it not a function
Answer:
No, -1 has two outputs
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
(x- 12) /y+z
for x = -23.y = -5, and z =-10
Answers
Explanation:
(-23 - 12)/-5 + (-10)
-35/-15
= 7/3
Solve the following system of equations: (1 point)
−2x + y = 1
−4x + y = −1
Answers
-4x+5=1 that is the answer hope I helped
What are the coordinates of the midpoint?
Answers
Answer:
Midpoint (4|7)
Step-by-step explanation:
A(2,6) and B(6,8)
at first add the x values and divide it by two
(2+6)/2=4
second, add the y values and divide it by two
(6+8)/2=7
Midpoint (4|7)
-> and you can see it it is exactly in the middle of line segment
what property is 8x9x3=3x9x8
Answers
Property which represents the given method (8x9)x3= (3x9) x8 is associative property over multiplication.
As given in the question :
Given method :
(8x9)x3= (3x9) x8
On left hand side (8x9)x3
First we multiply 8×9 =72 and then multiply it to 3
72 ×3=216
On right hand side (3× 9)×8
First we multiply (3×9) =27 then multiply it to 8
27×8=216
Left hand side = right hand side
It represents associative property over multiplication.
Therefore, property which represents the given method (8x9)x3= (3x9) x8 is associative property over multiplication.
The complete question is :
Which property is (8x9)x3= (3x9) x8
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Can√3+5 be simplified? If so, how?
Answers
Answer:
2.8
Step-by-step explanation:
I took the test.
Answer:
5+√3(Decimal: 6.732051)
Step-by-step explanation:
√3+5
=5+√3(Decimal: 6.732051)
Find the equation of the line.
y=__x+__
Answers
Answer:
y=mx+b
Step-by-step explanation:
the formula for finding the y value
True or false, Sales tax will add to the total cost of an
Item
Answers
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
The difference between two numbers is 10 and
their sum is four times the smaller number.
Find the two numbers.
Answers
Answer:
x = 10
y = 5
Step-by-step explanation:
Let the two numbers be x and y
Difference between the two is 10
x-y = 10
Sum;
x+ y is four times the smallest number
Let the smaller number be y
x+ y = 4y
Subtracting equation ii from i
-2y = 10 -4y
4y-2y = 10
2y = 10
y = 10/2
y = 5
Recall;
x-y = 10
x = 10 + y
x = 10 + 5 = 15
a student records the repair cost for 1717 randomly selected washers. a sample mean of $82.95$82.95 and standard deviation of $14.89$14.89 are subsequently computed. determine the 80�% confidence interval for the mean repair cost for the washers. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
Answers
The mean repair cost for the stereos is (63.04, 102.86) with an 80% confidence interval.
What is the critical factor?The critical factor for a 90% confidence interval for the true mean repair cost for stereos is given by;
Critical factor = (x-μ)/(s/√n)
where, x = sample mean repair cost
s = standard deviation of a sample
n = sample of stereos
μ = critical value
We have been given that a student records the repair cost for 17 randomly selected washers. a sample mean of $82.95 and a standard deviation of $14.89 are subsequently computed.
Since we don't know the population standard deviation, we used t statistics to create the 80% confidence interval in this case.
So, the 80% confidence interval for the true mean repair cost, μ is ;
⇒ P(-1.337< t₅ < 1.337) = 0.80
{As the critical value of t at 5 degrees of freedom are -1.337& 1.337 with P = 5%}
⇒ P(-1.337< (x-μ)/(s/√n) < 1.337) = 0.80
⇒ P(-1.337×(s/√n) < (x-μ) < 1.337×(s/√n)) = 0.80
⇒ P(x - 1.337×(s/√n) < μ < x + 1.337×(s/√n)) = 0.80
80% confidence interval for
⇒ μ = (x - 1.337×(s/√n) , x + 1.337×(s/√n))
Here, x = $82.95 , s = $14.89 , and n = 17
⇒ μ = (82.95 - 1.337×(14.89 /√17) , 82.95 + 1.337×(14.89 /√17))
⇒ μ = (63.04, 102.86)
Hence, the mean repair cost for the stereos is (63.04, 102.86) with a 80% confidence interval.
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PLS THIS IS MY LAST QUESTION
this is my last question pls help me out i’ll give brainest it’s due in an hour
Answers
Answer: x = 5.625
Step-by-step explanation: The triangles are similar; the side lengths of the large triangle are proportional to the lengths of the small triangle. The corresponding parts are proportional.
Use proportion. The total length of side FV is 16.
6:16 = x:15 . or 6/16=x/15
cross multiply 15 × 6 = 90, then divide 90/16
90/16 = x
5.625 = x
Find the measure of the missing angle
Answers
Answer: b=112 degrees and c=68
Step-by-step explanation:
Answer:
b = 112, c = 68
Step-by-step explanation:
The angle of a line is 180 degrees.
If an angle is 112, 180-112=68 so that blank space will be 68 degrees.
180-68=112, so b=112.
Since b is 112, we now that c is 68.
13.If one-seventh of a number minus 5 is 4, then the number isRequired to answer.
Answers
Answer:
Step-by-step explanation:
63
1/7x-5=4
1/7x=9
X=63
State the x-intercept and the y-intercept of the line.
a.-10;5
b.-9;5
c.-10;4
d.-11;6
Answers
Because the line intersects the x axis at -10 and intersects the y axis at 4.
Hope this helps :D
PLEASE HELP MEEE!! THIS IS DUE IN THE NEXT 45 MINS PLEASEEE HELLPP :((
Answers
They are all true None are false
Please solve this as soon as possible
Answers
Answer:
Equation: (14.50-10)/0.15
Stanley has do 30 extra messages.
[tex] \frac{(14.5 - 10)}{0.15} [/tex]
the model represents x2 – 9x 14. an algebra tile configuration showing only the product spot. 24 tiles are in the product spot: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled .
Answers
The factors of the model x^2-9x+14 is (x-2) and (x-7)
The model is x^2-9x+14
Factoring the expression, we get
x^2-7x-2x+14=0
x(x-7)-2(x-7)=0
(x-2)(x-7)=0
The factors of the given model is (x-2)(x-7)
To check if it is a factor or not substitute x=2
2^2-9(2)+14=4-18+14=4-4=0
So x-2 is a factor of the model
7^2-9(7)+14=49-63+14=49-49=0
So x-7 is also a factor of the given model
various that entirely divides every other variety is referred to as a issue.to position it any other way, if adding two complete numbers outcomes in a product, then the numbers we are including are elements of the product because the product is divisible through them.To learn more about factors visit:
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A man is carrying a pole of length 5m the pole is measured to the nearest centimetre
Answers
The pole measures 500 centimeters.
We are required to perform unit conversion to find the answer. Conversion of unit requires the relating link between two units. While relating the two units, usually greater unit holds singular or unit value, which is 1. The smaller unit holds value greater than 1, but at equivalent level with first unit. So, as per the known fact, 1 meter is equal to 100 centimeters. Using this formula to find measurement of 5 meters in centimeters.
1 meter = 100 centimeters
5 meters = 100 × 5
Performing multiplication to find the measurement of pole in centimeters
5 meters = 500 centimeters
Therefore, the measurement of pole is 500 centimeters.
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Siete veces un numero es igual a 210.
Answers
Answer:
30 Treinta
Step-by-step explanation:
7x = 210
x = 210/7
x = 30
Doug spent $1.05 on 0.6 pounds of apples.
a.) How much would 3 pounds of apples cost?
Answers
1.75 * 3 = $5.25 for 3 pounds of apple
please help it is due today
Answers
Given:
p: 2x -5=5
q: 4x-6=14
P 9
Write the contrapositive in if-then form.
O If 2x–5=5, then 4x - 6=14.
If 4x -6=14, then 2x-5=5.
If 2x – 5≠5, then 4x - 6≠14.
If 4x - 6≠4, then 2x–5≠5.
Answers
Answer:
we conclude that:
If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.
Step-by-step explanation:
We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".
In other words, it is symbolically represented as:
' ~q ~p is the contrapositive of p q '
For example, the contrapositive of "If it is a rainy day, then they suspend the match" is "If they do not suspend the match, then it won't be a rainy day."
Given
p: 2x -5=5
q: 4x-6=14
As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p
Thus, we conclude that:
If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.
Can someone please help mee (20 points
brainliest!!!)
Answers
Hope it helps
Find the sum of -3/7and its opposite. [Type your answer as a number.]
Answers
Answer:
The sum of -3/7 and its opposite is 0
Step-by-step explanation:
The problem says to find the sum of -3/7 and its opposite.
The opposite of -3/7 is +3/7
Sum means we need to add -3/7 and +3/7.
[tex]\dfrac{-3}{7}+\dfrac{3}{7}=0[/tex]
As the two fractions have opposite signs, it means when we add them we get the answer as 0.
What is the radius of this circle?
A) 2.5 cm
B) 3.14 cm
C) 5 cm
D) 10 cm
WILL MARK BRANLIEST HURRYY
Answers
Answer:
The answer is C 5 cm.
Step-by-step explanation:
The sum of two numbers is 45. The first is 9 less
than the second. Find the numbers.
Answers
Answer:
18 and 27
Step-by-step explanation:
x+(x+9)=45
2x+9=45
2=36
x=18
x+9=27
2 Consider the statement
Two segments are the same measurement.
Which of the following is a negation of the statement?
F Two segments do not have the same measurement.
G Two segments are not measured in degrees.
H
The two segments are measured with a ruler.
J If segments are congruent, then they have the same measures.
property of equing
same slope.
Answers
The option that negates the given statement is; F: Two segments do not have the same measurement.
What is the Negation of a statement?In Mathematics, the negation of a statement simply means the opposite of the given mathematical statement. Thus, “X” is a statement, then the negation of statement X is represented by ~X.
Now, we are given the statement;
"Two segments are the same measurement."
Now, for two segments to be the same measurement it means that they are equal and congruent and could possibly measure the same degree, However, it can never mean that they do not have the same measurement.
Thus, the option that negates the given statement is; F: Two segments do not have the same measurement.
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