Answer:
y = x + 1
Step-by-step explanation:
Equation of line : y = mx + b, m = slope, b = y intercept
Find slope, m
[tex]Slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]= \frac{-3 - 4}{-4 - 3} \\\\=\frac{-7}{-7}\\\\=\frac{7}{7}\\\\= 1[/tex]
Equation of line : [tex](x_1, y_1) = ( 3, 4 )[/tex]
[ You can choose any set of points from the given points. ]
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 4 ) = 1 \times ( x - 3)\\\\y - 4 = x - 3\\\\y = x - 3 + 4 \\\\y = x + 1[/tex]
If ABC and ABD are equilateral, which line segment if 60° clockwise rotation of AB about the point A?
Answer:
Line AC
Step-by-step explanation:
Given
See attachment for triangles
Required
60 degrees clockwise rotation about A
Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]
So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.
The closest is line AC;
Hence, AC is [tex]60^o[/tex] clockwise of point A
Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours of electricity used and the cost per kilowatt hour. When he uses 1,100 kilowatt hours of electricity, his bill is $113. When he uses 1,500 kilowatt hours of electricity, his bill is $153. What is the monthly administration fee?
We will form the equations for this problem:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
z = ? Monthly administration fee is notated with z, and that is the this problem's question.
Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.
Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.
The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
----------------------------
(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:
(2) 1500*y + (113 - 1100*y) = 153
-------------------------------------------------
(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y + 113 = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 40
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 40/400
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 1/10
------------------------------------------------
if we insert the obtained value of y into (1) equation, we get the value of z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars is the monthly fee.
credit: freesparrow
Answer:
3
Step-by-step explanation:
bc it is
Which expression is equivalent to 2x + 3y - x - (8 + 1)?
A.2 + 3y - 9
B.5+2 - 7
C.3 (x + y) - 9
D.6(x + y) – 7
Answer:
x +3y -9
Step-by-step explanation:
2x + 3y - x - (8 + 1)
Combine terms in the parentheses
2x + 3y - x - 9
Combine like terms
2x-x +3y -9
x +3y -9
(m2-m-4)+(m-5) (1 point)
Answer:
2−9
Step-by-step explanation:
You take redundant away, then do subtract, then combine terms. It will give solution.
Please help please I need help
Answer:
4 inches.
Step-by-step explanation:
Someone please help me thank you
Answer:
[tex]x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]
Step-by-step explanation:
Ensure that the equation is in the form of ax² +bx +c= 0.
5x² -x +1= 3
5x² -x +1 -3= 0 (-3 on both sides)
5x² -x -2=0
Here, a= 5, b= -1, c= -2.
Use the quadratic formula below to solve for x.
[tex]\boxed{x = \frac{ - b± \sqrt{b^{2} - 4ac } }{2a} }[/tex]
[tex]x = \frac{ - ( - 1)± \sqrt{( -1 )^{2} - 4(5)( - 2)} }{2(5)} [/tex]
[tex]x = \frac{1± \sqrt{1 + 40} }{10} [/tex]
[tex]x = \frac{1± \sqrt{41} }{10} [/tex]
[tex]∴x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]
Step-by-step explanation:
First, lets understand the question. When it says to find all the "real" solutions, that means you should not give any solutions containing an imaginary number. An imaginary number is basically where we accept that there exists an i (imaginary number) that is equal to [tex]\sqrt{-1\\}[/tex] (square root of negative 1). So we are not considering this concept in this question.
Let's start solving then. Can you think of an equation that may help you solve this problem? The biggest clue is that x is squared. If you said the quadratic formula, then you are perfectly correct!
Remember in order to use the quadratic formula, you must get your equation into the form:
[tex]ax^{2} +bx +c=0[/tex]
Let's do it! Right now we have:
[tex]5x^{2} - x +1=3[/tex]
Get rid of the 3 by subtracting it from both sides:
[tex]5x^{2} -x+1 -3 = 3 - 3\\5x^{2} -x-2=0[/tex]
Okay! it looks like our quadratic form now! By comparing it we can figure out what a, b, and c are in this case:
[tex]a = 5,{ }\\ b = -1, { }\\c = -2[/tex]
Let's get out our quadratic formula now:
[tex]\frac{ -b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]
All that's left to do is insert values and solve! (Be really careful when dealing with the negatives):
[tex]\frac{ -1\frac{+}{} \sqrt{(-1)^{2} -4(5)(-2)} }{2(5)}[/tex]
[tex]=\frac{ -1\frac{+}{} \sqrt{41} }{10}[/tex]
Removing the plus/minus we get two answers:
[tex]=\frac{ -1+ \sqrt{41} }{10}\\\\or\\\\=\frac{ -1-\sqrt{41} }{10}[/tex]
These are the most simplified forms! It turns out we didn't even have to worry about imaginary solutions because we didn't end up with a negative sign under the square root. Hope this helps, and good luck!
Are the following polygons similar explain
Technically, we don't have enough info so it could go either way.
==========================================================
Explanation:
We can see that the sides are proportional to each other, but we don't know anything about the angles. We need to know if the angles are the same. If they are, then the hexagons are similar. If the angles are different, then the figures are not similar.
Right now we simply don't have enough info. So they could be similar, or they may not be. The best answer (in my opinion) is "not enough info". However, your teacher likely wants you to pick one side or the other. We can't pick "similar" so it's best to go with "not similar" until more info comes along the way.
Use the graphling tool to determine the true statements regarding the represented function check all that apply
Answer:
Adobe Family Tools
Step-by-step explanation:
Now round 0.065 to the nearest hundredth.
0.065 rounds to?
Answer:
0.07
Step-by-step explanation:
To round a decimal to the nearest hundredth, look at the thousandths place.
If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.
If it is smaller than 5, we will keep the number the same.
In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.
The hundredths place value is 0.06, so we will round it up to 0.07.
So, 0.065 will round to 0.07.
Urgent helps bxjdidjdjjfjdhhdhdh
Answer:
l=40
Step-by-step explanation:
The area is calculated as
A = wl
1200=30l
1200/30=l
40=l
Describe and correct the error in determining which type of function the table represents.
Answer:
"Consecutive y-values change by multiplying previous value by a constant amount. So, the table represents an exponential function."
Step-by-step explanation:
In reality, the table represents an exponential function instead of a linear function, since values on domain change arithmetically at constant rate, whereas values on range change geometrically at constant rate.
Correct phrase may be: "Consecutive y-values change by multiplying previous value by a constant amount. So, the table represents an exponential function."
Paul buys 5 books priced at $10 and 3 priced at $15. He also has a coupon for $7 off his purchase. Write an expression with parentheses to show the total cost, after using the coupon, and then simplify it to show hos much he spent.
Answer:
(10x5+15x3)-7
Step-by-step explanation:
Find the slope of the line that contains
the points (3, 2) and (-3, 8).
Answer:
-1
Step-by-step explanation:
To find the slope given two points
m = ( y2-y1)/(x2-x1)
= ( 8 - 2)/( -3 -3)
= 6 / -6
= -1
The cost of a Kit-Kat is $0.04 more than the cost of a Snickers. If you buy 4 Kit-Kats and 8 Snickers, the total cost is $12.76. How much does the Snickers cost?
Answer:
Step-by-step explanation:
go to the back of the book
if f(x) = 4x - 20, what is f(4)?
Answer:
f(4) = -4
Step-by-step explanation:
f(x) = 4x - 20
Let x= 4
f(4) = 4*4 - 20
Multiply first
= 16 -20
Then subtract
= -4
Answer:
-4
Step-by-step explanation:
Hope it helps
a man in a boat rowing from lighthouse whose height is 200m it takes 2 minutes to change the angle of elevation of 60 degree to 45 degree find speed of boat
Answer:
Step-by-step explanation:
I attached a picture below of what this situation looks like. As you can see, it is a right triangle problem. In order to solve for the speed of the boat, we first need to find out the difference between his distances when the angle is 60 and when it is 45. That's the same thing as finding x and y then subtracting. To find x:
[tex]sin60=\frac{200}x}[/tex] so
x = 231 meters (I rounded to the nearest whole numbers in this problem.
To find y:
[tex]sin45=\frac{200}{231+y}[/tex] so
[tex]y=\frac{200}{sin45}-231[/tex] and
y = 52.
The distance between the angles 60 and 45 as 52 meters, and it took him 2 minutes to travel that 52 meters. Assuming that his rate doesn't change, he can travel 52/2 meters per minute, or 26 meters per minute.
I really need help:(
Answer:
1. e
2. c
3. d
4. a
5. b
Step-by-step explanation:
-7w=-w+6
Please help what does this equal to
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 2 meters?
Answer:
79 inches
Step-by-step explanation:
2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in
rounded
79 inches
When the number c is divided by seven,
the quotient is equal to six. Find the
value of c.
Answer:
42
Step-by-step explanation:
The equation is, c/7 = 6
c/7= 6
By multi[lying both sides with seven,
c = 6*7
c = 42
Hope this helps you
Please mark as brainliest
Thank You
Helpppppp meeeee!!!!!
if u answer all 4 questions i´ll give you Brainliest!!!
NO LINKS!!
help its in the picture
Answer:
maybe 90%?
Step-by-step explanation:
if im wrong im sorry
Answer:
90%
Step-by-step explanation:
[tex]\frac{18}{20} :\frac{y}{100}[/tex]
y × 20 = 18 × 100
20y = 1800
20y ÷ 20 = 1800 ÷ 20
y = 90
Express the following difference in the form of a + bi: (6 - 3i) - (-8 - 5i)
Can someone help me with this question please.
In a right angle triangle the side lengths are 4 and 2. Please find the hypotenuse. You can answer this in radical form OR give the answers in hundredth.
Answer:
4.47
Step-by-step explanation:
A squared + B squared = C squared
4*4=16 2*2=4 16+4=20
the square root of 20 is 4.472135955, rounded to the nearest hundreth is 4.47
What is the measure of arc WYZ?
------------
hint: find the measure of arc WYZ
------------
231
255
200
168
Step-by-step explanation:
We have a diameter and vertical angles so
231.
180+51=231
Answer:
231
Step-by-step explanation:
The measure of arc WX is 51
XZ is a straight angle so its arc measures 180 degrees
The measure of arc WYZ
WYZ= WX + XZ
= 51 + 180
231
helppp its in the picture
Answer:
$220
Step-by-step explanation:
$5.50*8= $44
$44*5= $220
Hope it helps!
Which graph best represents a
system of equations that has no
solution?
F
H
J
Answer:
There are no graphs on the question
Step-by-step explanation:
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
8
12
5
Cold
What is the probability that a customer ordered
a cold drink given that he or she ordered a large?
Rounded to the nearest percent, [? ]%
The probability of a customer ordering a cold drink given that they ordered a large is 0.1852 or about 18.52%.
Let us find the individual probabilities.
P(Large | Cold) = 5/25 = 0.2 (out of 25 cold drinks, 5 were large)
P(Cold) = (8+12+5)/100 = 0.25 (out of 100 orders, 25 were cold)
P(Large) = (22+5)/100 = 0.27 (out of 100 orders, 27 were large)
Now we can plug these values into Bayes' theorem:
P(Cold | Large) = 0.2 × 0.25 / 0.27
P(Cold | Large) = 0.1852
Therefore, the probability of a customer ordering a cold drink given that they ordered a large is 0.1852 or about 18.52%.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ7
What is the length of RS
O -8
O -4
O 4
O 8
