Answer:
plz follow and thanks me
Step-by-step explanation:
Let (a,b) be the coordinates of the foot of the perpendicular from the point (−1,3) to the line 3x−4y−16=0
Slope of the line joining (−1,3) and (a,b), is m
1
=
a+1
b−3
Slope of the line 3x−4y−16=0 or y=
4
3
x−4,m
2
=
4
3
Since these two lines are perpendicular,m
1
m
2
=−1
∴{
a+1
b−3
}⋅{
4
3
}=−1
⇒
4a+4
3b−9
=−1
⇒3b−9=4a−4
⇒4a+3b=5...(1)
Point(a,b) lies on line 3x−4y=16
∴3a−4b=16....(2)
On solving equation (1) and (2) we obtain
a=
25
68
and b=−
25
49
Thus, the required coordinates of the foot of the perpendicular are {
25
68
,
25
49
}
What is the slope of the two points? (-2,7) (-2,5)
Answer:
-1/2
Step-by-step explanation:
y2 - y1
----------
x2 - x1
Find the x - intercept and
y – intercept of the graph of the
equation 4x + 7y = 6
Step-by-step explanation:
x- intercept is the x coordinate when y is 0
4x + 7(0) = 6
4x = 6
x = 1.5
(1.5, 0)
y- intercept is when x is 0
4(0) + 7y = 6
7y = 6
y = 6/7
( 0, 6/7)
I hope this helps!!!
Kedar earns a monthly salary of $2,600 plus a 3.25% commission on the amount of his sales at a men's
clothing store. One month he sold $4,700 in clothing.
Part 1 out of 2
What was his commission that month?
His commission was: (select)
V
✓ Check
Next
______________________________
= 3.25% × $4,700 ÷ 100= $152.75Kedar's Commission Was $152.75______________________________
A newsstand seller sold a total of 68 magazines and newspapers, which brought in a total of
$199 on a certain day. Suppose newspapers are sold at $2 per copy and magazines are sold at $5 per copy. How many magazines were sold on that day
Answer:
21
Step-by-step explanation:
Using inequality to solve this question, we say
Let the total number of newspapers sold be x
Let the total number of magazines sold by y
x + y = 68
Suppose 1x = $2 and 1y = $5, then
2x + 5y = $199
Solving both as a simultaneous equation, we get that
2(68 - y) + 5y = $199
136 - 2y + 5y = $199
136 + 3y = $199
3y = 199 - 136
3y = 63
y = 63/3
y = 21
Then solving for x, we have
x + 21 = 68
x = 68 - 21
x = 47
Therefore, a total of 21 magazines were sold that day
Question 5
1 pts
Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts
are people he met at school.
What is P(call a person from school)?
If necessary, round your answer to 2 decimal places.
Previous
Answer:
53.33% probability he calls a person from school.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is P(call a person from school)?
He has 30 total contacts, of which 16 are from school. So
[tex]P = \frac{16}{30} = 0.5333[/tex]
53.33% probability he calls a person from school.
Work out the value of 5x + 9y when x = 7 and y = -2
Answer:
17
Step-by-step explanation:
5x+9y
Put in the numbers and then you get:
(5*7)+(9*-2)
Then solve it.
35-18
Subtract to get:
17
Hope this helped! :)
Pls help me I’m failing math
Answer:
Step-by-step explanation:
The first change, the price goes from $4.09 to $3.59.
Beginning price: $4.09
The price decreased to: $3.59
Amount of decrease: $4.09 - $3.59 = $0.50
Percent of decrease: 0.5/4.09 * 100% = 12.2%
The second change, the price goes from $3.59 to $4.09.
Beginning price: $3.59
The price increased to: $4.09
Amount of increase: $4.09 - $3.59 = $0.50
Percent of increase: 0.5/3.59 * 100% = 13.9%
The first change was a decrease of 12.2%, and he second change was an increase of 13.9%. The two percent changes are not the same, and the second percent change is greater.
Answer:
"i dont care"
Step-by-step explanation:
dont scam
Write the number positioned at point D.
Answer:
-4 3/4
Step by step explanation:
point D is 4 numbers to the left of the 0, meaning it is a negative 4. Then there is also a 3/4 of space between the 4 and point D, meaning point D is -4 3/4 away from 0.
Answer:
-4.75 for position D
Step-by-step explanation:
Which are equivalent expressions?
Check all that are true.
A) a + b + c = 3abc
B) 4x + 8y = 2(2x + 4y)
C) 4x + 8y = 4(x + 2y)
D) 4x + 8y + 12z = 4(x + 2y + 3z)
E) 5x + 10y = 5(x + 2y)
Answer:
B) 4x + 8y = 2(2x + 4y)
C) 4x + 8y = 4(x + 2y)
D) 4x + 8y + 12z = 4(x + 2y + 3z)
E) 5x + 10y = 5(x + 2y)
Step-by-step explanation:
We would assume a value for the variables a, b, c, x, y and z.
Let x, a = 1
Let y, b = 2
Let z, c = 3
A) a + b + c = 3abc
When a = 1, b = 2 and c = 3
Substituting into the above equation, we have;
1 + 2 + 3 = 3(1*2*3)
6 ≠ 3(6)
6 ≠ 18 (not equivalent)
B) 4x + 8y = 2(2x + 4y)
When x = 1 and y = 2
Substituting into the above equation, we have;
4(1) + 8(2) = 2(2*1 + 4*2)
4 + 16 = 2(2 + 8)
20 = 2(10)
20 = 20 (equivalent expression)
C) 4x + 8y = 4(x + 2y)
When x = 1 and y = 2
Substituting into the above equation, we have;
4(1) + 8(2) = 4(1 + 2*2)
4 + 16 = 4(1 + 4)
20 = 4(5)
20 = 20 (equivalent expression).
D) 4x + 8y + 12z = 4(x + 2y + 3z)
When x = 1, y = 2 and z = 3
Substituting into the above equation, we have;
4(1) + 8(2) + 12(3) = 4(1 + 2*2 + 3*3)
4 + 16 + 36 = 4(1 + 4 + 9)
56 = 4(14)
56 = 56 (equivalent expression).
E) 5x + 10y = 5(x + 2y)
When x = 1 and y = 2
Substituting into the above equation, we have;
5(1) + 10(2) = 5(1 + 2*2)
5 + 20 = 5(1 + 4)
25 = 5(5)
25 = 25 (equivalent expression).
Which of the following is an exponential model that shows
an initial investment of $200 dwindling by 3% annually.
A. a(t) = 200(1+0.03)
B. a(t)= 200(1 – 0.03)
C. a(/) = 200(1-0.3)
D. alt)= 200(1-3)
Answer:
Option A. a(t) = 200(1+0.03)
Step-by-step explanation:
Given data
principal P= $200
rate r= 3%
time t= 1 year
Required
The final amount A
We know that the expression for the simple interest is given as
A=P(1+rt)
so the equivalent expression is
A. a(t) = 200(1+0.03)
t + 50 = 130 so what is t
Answer:
t + 50 = 130t + 50 _ 50 = 130-50t = 80:. t is 80Step-by-step explanation:
I hope it helps ❤❤John has 3 apples ray steals 2 how many apples does John have?
Answer:
John now has one apple since ray stole the other two (3-2=1)
Pls help me I’m failing asap
Answer:
0.50
Step-by-step explanation:
Answer:
$0.50
Step-by-step explanation:
100-90.50=0.50
HELP PLS GRADES GO IN TODAY FINAL TEST XP Which statements are true about all points on the x-axis? Check all that apply. They have a y-value of 0. They have an x-value that is not 0. They are not to the left or to the right of the origin. They are in Quadrant I. They are not in any of the quadrants. They are not above or below the origin.
Answer:
They have a y-value of 0. They are in Quadrant 1. They are not above or below the origin.
Step-by-step explanation:
Josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix. The
dried cranberries weigh 8.5 ounces and cost $0.30 per ounce. The dried bananas weigh 10.5
ounces and cost $0.20 per ounce. How much does Josie spend on the dried fruit in all?
Answer:
4.65
Step-by-step explanation:
no
Total Josie spend on the dried fruit in all is $4.65
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix.
The dried cranberries weigh 8.5 ounces and cost $0.30 per ounce
The dried bananas weigh 10.5 ounces and cost $0.20 per ounce.
We need to find how much does Josie spend on the dried fruit in all
The total cost for cranberries weigh is 8.5×0.30
$2.55
The total cost for dried bananas weigh is 10.5×0.20
$2.1
The total Josie spend on the dried fruit in all is $2.55+$2.1
$4.65
Hence, total Josie spend on the dried fruit in all is $4.65
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
Which statement is correct about the system of linear equations graphed below?
VX
+
2
1
1
2
2
The system of equations has one solution because the lines will eventually intersect.
O The system of equations has one solution because the lines will never intersect.
The system of equations does not have one solution because the lines will eventually intersect.
The name rintinnn dannnathavannenlistinn hann the linell RAUA internant
Answer:
The two lines are coincident (essentially the same line) so every point on the line is a solution. Normally you would say they have infinitely many solutions.
An example of this would be:
y = 2x + 3
2y = 4x + 6
The statement that matches this situation would be D.
Answer:
D. The system of equations does not have only one solution (it has infinitely many) because the lines do not intersect at *only* one point.
Step-by-step explanation:
Please help with my math, instructions: Factor each expression. If the expression cannot be factored, write cannot be factored. (Odd questions only) (that’s why the other half is blacked out)
Answer:
13. 4(x+3) 15. 5(x+7) 17. cannot be factored 19. 3(2x-3) 21. 9(8-2x)
23. 50(2x + 3) 25.4(x+9)
Step-by-step explanation:
Hope this helps
93) A quarter weighs 5.67 grams. How much does the quarter weigh in
centigrams?
What is x^5/7 written as a radical expression?
Answer:
Step-by-step explanation:
If
n
is a positive integer that is greater than
x
and
a
is a real number or a factor, then
a
x
n
=
n
√
a
x
.
a
x
n
=
n
√
a
x
Use the rule to convert
x
5
7
to a radical, where
a
=
,
x
=
, and
n
=
.
7
√
x
5
The radical expression of [tex]x^(5/7)[/tex] is [tex]\sqrt[7]{x^5}[/tex].
What is radical expression?A radical expression is "an expression that contains square root and a radicand contains number or expression inside a radical or square root".
According to the question,
In order to write [tex]x^(5/7)[/tex] as radical expression.
Formula for radical expression [tex]a^x/n[/tex] = [tex]\sqrt[n]{a^x}[/tex]
From given 'a' = x; 'x'=5; 'n'=7 using above formula we can written radical expression as [tex]\sqrt[7]{x^5}[/tex].
Hence, the radical expression of [tex]x^(5/7)[/tex] is [tex]\sqrt[7]{x^5}[/tex].
Learn more about radical expression here
https://brainly.com/question/12425007
#SPJ2
Which rule about the sign of the quotient of positive and negative decimals is correct?
Vx
positive-positive = negative
O negative negative = positive
O positive-negative = positive
O negative positive = positive
Answer:
2
Step-by-step explanation:
Twenty-eight girls and thirty five boys signed up for the Field Day relay race. Each team needs to have a equal number of girls and boys on it.
What is the greatest number of teams possible? ___
How many girls will be on each team? ___
How many boys will be on each team? ___
very urgent! i'd love if you could answer this for me :3
Answer:
The greatest number of teams is 4, with each having 7 boys and 7 girls. There is a remainder of 7 boys.
Step-by-step explanation:
What is the slope of the graph of y = 14x – 17?
A. -17
D. 14
Answer:
Slope is 14
Step-by-step explanation:
prove me wrong
Graph y=4x
Please do it on a graph lol
thus answers.hooe it's right
Answer:
Look at the screenshot
Step-by-step explanation:
Since it is just y=4x, and there is no b, we start at the origin (0, 0). Now, since slope is rise/run, and 4 can be written as 4/1. we go up 4 and to the right one. You can repeat this as many times as you need. Check the attached screenshot for the graph.
The weatherman predicts a 20% chance of rain on Thursday. If it rains, there is a 10% chance that your roof will leak. (If it doesn't rain, of course, your roof is safe.) What is the chance that you will have a leaky roof on Thursday
Answer:
2%
Step-by-step explanation:
Probability of rain, P(R) = 0.2
Probability of leak Given that it rains, P(L|R) = 0.1
Probability of leak Given that it does not rain, P(L|R') = 0
According to Baye's Rule:
P(L) = [P(L|R) * P(R)] + [P(L|R') * P(R')]
P(R') = 1 - P(R) = 1 - 0.2 = 0.8
P(L) = [0.1 * 0.2] + [0 * 0.8]
P(L) = 0.02 + 0
P(L) = 0.02
Hence, probability of a roof leak on Thursday is 0.02 = (0.02 * 100%) = 2%
If g(×)=sin(6x)+3 determine g(15°)
Answer:
g=4/15 or 0.2667
Step-by-step explanation:
g(x)=sin(6x)+3
g(15)=sin(6times 15)+3
15g=sin(90)+3
15g=1+3=4
g=4/15 or 0.2667
The required value of trigonometric function g(×)=sin(6x)+3 at x =15 is 4.
A function g(×)=sin(6x)+3 is given, value of g(15°) is to determine.
These are the equation that contains trigonometric operators such as sin In algebraic operation.
Here,
The function given is g(×)=sin(6x)+3.
to find g(15°) put x = 15 in the trignometric function in order to get the solution.
⇒ g(×)=sin(6x)+3
⇒ x = 15
⇒ g(15) = sin(6 x15) +3
⇒ g(15) = sin°90 + 3
⇒ g(15) = 1 + 3 (sin°90 = 1)
Thus, the required value of trigonometric function g(×)=sin(6x)+3 at x =15 is 4.
Learn more about trigonometry equations here:
https://brainly.com/question/22624805
#SPJ2
In which quadrant of the coordinate graph does point F lie?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant IV
Step-by-step explanation:
use this image for future reference! hope it helps ;)
What is the factorization of 12x+15?
Answer: 3(4x+5)
Step-by-step explanation: The common factor is 3: 3(4x+5)
https://freegiftcards.co/21PJNU
Help please i dont know what to do!
Answer:
A = 22x + 330
from what I can see from the picture
Step-by-step explanation:
A = lw
A = (x + 15) x (22)
A = 22x + 330
Answer:
814 (if the first one is a square)
Step-by-step explanation:
the rectangle has an area of 330
if the first shape is a square then it is 484
Angle e measures 126∘. What is the measure of ∠h?
Group of answer choices
108∘
36∘
54∘
126