Write the equation for a line that passes through the point (2,5) and a slope of m =10 in point slope form
Answers
Answer:
y=10x-15
Step-by-step explanation:
with the points given you know x=2 and y=5
make a new point called (x,y)
now use the formula (y-5)/(x-2)=10 (10 being the gradient)
y-5 = 10(x-2)
y-5=10x-20
add 5 to both sides
y-5+5=10x-20+5
y=10x-15
Since we're given a point and a slope, we can write
the equation of this line using the point-slope formula.
The point-slope formula is shown at the top of the image below.
The given point, (2,5), represents (x1,y1).
Now plug in the information to get the equation below.
Now you can distribute the 10.
Then add 5 to both sides.
You will end up with the equation y = 10x - 15 as your answer.
Related Questions
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answers
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Need help ASAP! Need help ASAP will mark you as brainiest!
Answers
Answer:
[tex]r=\frac{44}{\pi }[/tex]
Step-by-step explanation:
[tex]88=2\pi r[/tex]
[tex]\mathrm{Switch\:sides}\\2\pi r=88\\\frac{2\pi r}{2\pi }=\frac{88}{2\pi }\\r=\frac{44}{\pi }\\or\\r=14.00563[/tex]
Answer:
2 metres
Step-by-step explanation:
Circumference = 2 × π × r
→ Substitute in the values
88 = 2 × [tex]\frac{22}{7}[/tex] × r
→ Divide both sides by 2 to isolate [tex]\frac{22}{7}[/tex] and r
44 = [tex]\frac{22}{7}[/tex] × r
→ Multiply everything by 7 to get rid of the fraction
308 = 22 × 7r
→ Divide the equation by 22 to isolate 7r
14 = 7r
→ Divide the equation by 7 to isolate r
2 = r
The radius of the circle with a circumference of 88 meters is 2 metres
Where are the stem cells that replace old blood cells located in adults?
A. In the bones
B. In the digestive tract
C. In the brain
D. In the layers of skin
Answers
Answer:
A
Step-by-step explanation:
It is specifically in bone marrow. Bone marrow is the tissue comprising the center of large bones.
Plss brainliest
Answer:
In the Bones
Step-by-step explanation:
apex checked by myself
solve v=1/3 bh for b
Answers
Answer:
3v/h = b
Step-by-step explanation:
1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3
3 * v = (1/3 bh) * 3 --> 3v = bh
divde both sides by h and you get 3v over h = b
3v/h = b
Hope this helps!
Answer:
3v/h = b
Step-by-step explanation:
v = 1/3bh
3v = bh
3v/h = b
20. A certain conditional statement is true. Which of
the following must also be true?
A. converse
B. inverse
C. contrapositive D. all of the above
Answers
Answer:
C
Step-by-step explanation:
I need to match each one to each other
Answers
Answer
speed : metres per second (a)
perimeter : meters (b)
volume : cubic centimetres (d)
area : square metres (c)
Find a. Roud to the nearest tenth:
2cm
15*
a
105*
c
Answers
Answer:
So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60
So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a
Then we do recipricol. 2/sin(105) = a/sin(60)
multiply by sin(60) both sides.
2sin(60)/sin(105) = a
round and solve and we get a is equal to
1.7931 or 1.8
ran 42 miles per hour in 8 hours whats his miles per hour
Answers
i rlly need help with this gr 11 math problem
Answers
Answer:
a) [tex]\frac{d-5.50}{0.45}[/tex]
b) The inverse function is a reflection of the original function across the line
y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.
Step-by-step explanation:
To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).
d = 0.45c + 5.50
Then you solve for c
d - 5.50 = 0.45 c
c = (d-5.50)/0.45
how to factor 5r^2+10r-240
Answers
Answer:
5 ( r+8) (r-6)
Step-by-step explanation:
5r^2+10r-240
First factor out the greatest common factor
5( r^2 +2r - 48)
Now factor what is inside the parentheses
What multiplies to -48 and adds to 2
8*-6 = -48
8-6 = 2
5 ( r+8) (r-6)
any help would be amazing, please?!!
Answers
Answer:
I think it's C
Step-by-step explanation:
Sorry if I'm wrong
The volume of a cuboid is 675cm3. The length is 15cm and the width is 30mm. Work out the height of the cuboid in cm.
Answers
Answer:
Step-by-step explanation:
30 mm = 3 cm
[tex]\\ height=\frac{Volume}{length*width}\\\\=\frac{675}{15*3}\\\\=15 cm[/tex]
Answer:
h = 15 cm
Step-by-step explanation:
V = l×w×h
h = V/l×w
= 675cm³/15cm×3cm
= 675cm³/45cm²
= 15 cm
how would you write an equation of a circle that is (-3,2) with a radius of 5
Answers
Answer:
(x+3)^2 + (y-2) ^2 = 25
Step-by-step explanation:
Equation of a circle: (x-h)^2 + (y-k)^2 = r^2
Center at (h,k)
Radius=r
Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the .
Answers
Answer:
it is given , angle 2 , angle 3 , converse alternate exterior angles theorem
Step-by-step explanation:
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because it is given . We see that angle 2 is congruent to angle 3 by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem .
Answer:
✔ it is given
✔ angle 2
✔ angle 3
✔ converse alternate exterior angles theorem
Part 3
1. Be sure your work is shown and steps are in order.
2. List all the possible rational roots.
3. Use synthetic division to test the possible rational roots and factor possible.
4. Identify complex roots if possible.
5. Sketch a graph of the function, please show:
a. the end behavior correctly
b. the shape of the near x-intercepts
c. (if possible) anything you can learn by considering symmetry and transformations.
3a. p(x)= 2x^5 - 9x^4 + 6x^3 + 22x^2 - 20x - 25
Answers
Answer:
possible rational roots: ±1/2, ±1, ±5/2, ±5, ±25/2, ±25
p(x) = (x +1)^2(2x -5)(x^2 -4x +5)
complex roots: 2±i
see the last attachment for a graph
Step-by-step explanation:
2. The leading coefficient of p(x) is 2, and the constant term is 25. The Rational Root Theorem tells you possible rational roots will be of the form ...
±(divisor of 25)/(divisor of 2)
That is, they are ...
±1/2, ±1, ±5/2, ±5, ±25/2, ±25
__
3. Before we get into synthetic division, we choose to see if we can reduce this list any. We note that p(0) = -25. The value of p(1) is the sum of the coefficients:
p(1) = 2 -9 +6 +22 -20 -25 = 30 -54 = -24
Similarly, the value of p(-1) is the same sum with odd-degree coefficients negated:
p(-1) = -2 -9 -6 +22 +20 -25 = 42 -42 = 0
So, we found our first root: -1. Using synthetic division, we can reduce the polynomial and start over. See the first attachment for this division.
__
The reduced polynomial is ...
p1(x) = 2x^4 -11x^3 +17x^2 +5x -25
We already know that +1 is not a of it. Checking -1, we have ...
p1(-1) = 2 +11 +17 -5 -25 = 0
So, we found our second root: -1. Using synthetic division, we can reduce the polynomial and start over. See the second attachment for this division.
__
The reduced polynomial is ...
p2(x) = 2x^3 -13x^2 +30x -25
The alternating signs tell us there are no more negative real roots. They also tell us there are 1 or 3 positive real roots. We know p2(0) = -25. Then ...
p2(1) = 2 -13 +30 -25 = 32 -38 = -6
The average rate of change between these points is (-6 -(-25))/(1 -0) = 19. At this rate, we expect a root between x=1 and x=2. Testing x=2 using synthetic division, we get a remainder of -1. (See the 3rd attachment.) Then the rate of change between x=1 and x=2 is (-1 -(-6))/(2-1) = 5, suggesting x=5/2 might be a worthwhile test value.
The synthetic division is shown in the 4th attachment. You will note that we divide the polynomial p2(x) by its leading coefficient, so the coefficients used for p2(x) in the synthetic division are 1, -13/2, 15, -25/2. The remainder of 0 tells us that (x -5/2) is a factor of p2(x)/2, or (2x -5) is a factor of p2(x).
__
The reduced polynomial is ...
p3(x) = x^2 -4x +5
This can be written in vertex form as ...
p3(x) = (x -2)^2 +1
The positive leading coefficient means the graph opens upward, and the vertex at (2, 1) means there are no real solutions.
The real solutions to p(x) are x = -1, -1, and 5/2.
__
4. The complex solutions will be the solutions to ...
(x -2)^2 +1 = 0
(x -2)^2 = -1
x -2 = ±√(-1) = ±i
x = 2 ±i . . . . complex roots of p(x)
__
5. The graph is shown in the last attachment. The odd degree and positive leading coefficient of p(x) means the overall shape will be from lower left to upper right (/). That is, the sign of the end value of p(x) will match the sign of x.
The graph will touch the x-axis from below at x = -1, and will cross at x = 2.5. There is no particular symmetry.
The final quadratic factor is graphed and its vertex shown. The vertex matches that of the vertex-form equation for p3(x), above.
Answer:
possible rational roots: ±1/2, ±1, ±5/2, ±5, ±25/2, ±25
real solutions to p(x) are x = -1, -1, and 5/2.
(x -2)^2 +1 = 0
(x -2)^2 = -1
x -2 = ±√(-1) = ±i
x = 2 ±i complex roots
There are 130 people in a sport centre.
76 people use the gym.
60 people use the swimming pool.
32 people use the track.
23 people use the gym and the pool.
8 people use the pool and the track.
20 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answers
Answer:
7/130Step-by-step explanation:
Using set notation to answer the question. let:
n(U) be the total people in a sport centre =130
n(G) be number of people that use the gym. = 76
n(P) be number of people that use the swimming pool. = 60
n(T) be number of people that use the track = 32
n(G∩P) be number of people that uses the gym and the pool = 23
n(P∩T) be number of people that uses the pool and the track = 8
n(G∩T) be number of people that uses the gym and the track = 320
n(G∩P∩T) be number of people that uses all three facilities = 6
Using the relationship below;
n(U)= n(GUPUT)+n(GUPUT)'
where n(GUPUT)' is the number of people that doesn't use any facility.
Before we can get that, we need to know n(GUPUT) using the formula;
n(GUPUT) = n(G) + n(P)+n(T)-n(G∩P)-n(P∩T)-n(G∩T)+n(G∩P∩T)
n(GUPUT) = 76+60+32-23-8-20+6
n(GUPUT) = 123
n(GUPUT)' = n(U)- n(GUPUT)
n(GUPUT)' = 130 - 123
n(GUPUT)' = 7
This means that 7 person doesn't use any facility.
Probability that a person selected at random doesn't use any facility = n(GUPUT)' /n(U) = 7/130
1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove
on average 6 km/h faster than Evan, calculate her average speed and the time taken
for the journey.
Answers
Answer:
Her average speed is 94 km/h
Time taken is 3.5 hours
Step-by-step explanation:
Let Evan’s average speed be x km/h.
now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h
Mathematically, time = distance/speed
so; since time is the same; we have
308/x = 329/(x + 6)
cross multiply
329(x) = 308(x + 6)
329x = 308x + 1848
329x-308x = 1848
21x = 1848
x = 1848/21
x = 88 km/h
Meghan average speed = x + 6 = 88 + 6 = 94 km/h
Time taken would be 329/94 = 3.5 hours
what is the side length of a cube with a volume of 166 yd^3
Answers
Answer: 5.5 yd
Step-by-step explanation:
To find the side length of the cube, the volume is a clue. We know that all sides of a square are equal, and the volume of a cube is length×width×height. Since the length, width and height are all the same, we know it is V=x³. Since we know the volume, we can plug in and solve for x.
166=x³
In order to get x alone, we have to cube root both sides.
x≈5.5 yd
The diaper service where you work bills customers once a week. Each week, it charges 0.30 each for the first 75 diapers used, and .025 each for any additional diapers. How much should you bill a family that used 100 diapers last week?
Answers
Answer: The correct answer for this question is $6.55
Step-by-step explanation:
Hope this helps
Answer:
28.75
Step-by-step explanation:
Solve -3(x-2)<8 or -3(x-2) > 12
Answers
Answer:
x = (14/3,6)
Step-by-step explanation:
-3(x-2) < 8
taking negative sign to opposite side relational operator changes.
3(x-2) >8
Similarly
3(x-2)<12
Now
8< 3(x-2) < 12
dividing by 3
8/3 < x-2 < 4
adding 2
8/3 +2 < x < 6
Therefore x = (14/3, 6)
Hope it helps ...
i’m really struggling someone help me
Answers
Answer:
Identity property of addition ( 3 + 5) + 0 = (3 + 5)
Associative Property of Multiplication [ 3(5) ](4) = (3)[ (5)4
Identity Property of Multiplication 5(1) = 5
Associative Property of Addition 3 + (5 + 7) = (3 + 5) + 7
Commutative Property of Addition 3 + 5 = 5 + 3
Step-by-step explanation:
PLEASE HELPP! Question 1: Factorise each of the following (a) x² + 7x + 12 (b) x² + 6x + 8 (c) x² + 5x + 6 (d) x² + 8x + 7
Answers
Answer:
Using the mid-term break formula for all of them.
a) x²+7x+12
= x²+3x+4x+12
= x(x+3)+4(x+3)
= (x+4)(x+3)
b) x²+6x+8
= x²+2x+4x+8
= x(x+2)+4(x+2)
= (x+4)(x+2)
c) x²+5x+6
= x²+2x+3x+6
= x(x+2)+3(x+2)
= (x=3)(x+2)
d) x²+8x+7
= x²+7x+x+7
= x(x+7)+1(x+7)
= (x+1)(x+7)
Answer:
a) the middle number is seven and the last number is 12
factorising means we want something like (x + ___) (x +__)
Which number go into the blanks?
we need 2 numbers that add together to get 7 multiplied together to get 12.
3 + 4 is equal to 7
3x4=12
Answer:
(x+3)(x+4)
b) the middle number is 6 and the last number is 8
Factoring means we want something like
(x+___)(x+___)
which number go to the blanks?
We need two numbers that add together to get 6 and multiply together to get 8
2+4=6
2x4=8
Answer:
(x+2)(x+4)
c) the middle number is 5 and the last number is 6
we need two numbers that add together to get 5 and multiply together to get 6
2 + 3 is 5 and 2 x 3=6
Answer:
(x+2)(x+3)
Answer:
d) (x+1)(x+7)
Identify the percent of change as an increase or decrease. Then find the percent of change, rounding to the nearest tenth of a percent, if necessary.
60 cars to 24 cars
Answers
Answer:
-60% decrease
Step-by-step explanation:
60 is the old value and 24 is the new value.
percent change = [tex]\frac{new - old}{|old|}[/tex] x 100%
so for this problem, you can substitute the values given in the formula:
percent change = [tex]\frac{60-24}{|60|}[/tex] x 100% = [tex]\frac{-36}{60}[/tex] x 100% =
-60% (decrease)
System of Linear Equations
through Elimination
Question #1:
Solve the system of equations. Solve for 'x' and 'y' and show your work.
x- y=7
x + y = 5
Answers
Answer:
X=6
Y= - 1
Step-by-step explanation:
X-y =7
X+y =5 cross - y and y
_______
X+x =7 +5
2x= 12
X= 12/2
X= 6
Replace X in first equation:
X - y =7
6 - y =7
6 - 7 =y
y = - 1
Hope this helps you.. Good Luck!
help me now asap please help me now asap please help me now asap please help me now asap please help me now asap please help me now asap please help me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap help me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap pleasehelp me now asap please
Answers
Answer:
Yes,she had enough
½pound=8ounces
she needs a total of 24ounces
Step-by-step explanation:
She had enough because ½pound is 8ounces thus 16ounces+8ounces add up to 24ounces.
Answer:
Yes,she had enough
½pound=8ounces she needs a total of 24ounces
Step-by-step explanation:
Which multiplication expression is equal to 2/3 ÷ 1/2
Answers
2/3 ÷ 1/2 = 1.33333333333 or 1.3 for short
-Peter
Answer:
2*2/3 = 4/3
Step-by-step explanation:
2*2/3 = 4/3
Three of the angles of a polygon are
105.5
sum of the angles in the
polygon is 2520 find each of the other
angles if they are equal to each other
Answers
Answer:
three angles of a polygon are each 105.5,the sum of the angles in the polygon is 2520. find each of the other angles if they are equal to each other. For a polygon with n sides and n angles, the sum of the measures of all the interior angles equals (n-2)180 degrees. 16-3=13
What’s 30x8+5 divided by 8% =
Answers
Answer:
302.5
Step-by-step explanation:
30 x 8
5/8
I hope this helps I'm like 90 percent sure this is right. There is no other answer I could think of so I hope Hope helpa
Is x = 17 a solution to the equation x + 15 = 42?
guys plz help me :(
Answers
Answer:
no
Step-by-step explanation:
x + 15 = 42
Subtract 15 from each side
x + 15-15 = 42-15
x = 27
x = 17 is not 27 so it is not a solution
Answer:
No.
Step-by-step explanation:
If you substitute 17 in for x in the equation you get 17+15=42. Simplify to get 32=42. This is not a true statement, so x=17 is not the answer.
why is, 9a is equivalent to 11a - 2a true ?
Answers
Answer:
9a is equivalent to 11a - 2a because 11a-2a is 9a.
Step-by-step explanation:
