The equation of the line that passes through the point (8,-4) and has a slope of 1/2 is; y = -x/2 - 2
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
This is the required equation of a line in a point-slope form.
We know that Point-Slope Form:
y - y₁ = m(x- x₁)
Where x₁ - x coordinate and y₁ - y coordinate
m - slope
Point (8,-4)
Then Slope m = 1/2
Now the equation as;
y + 4 = 1/2(x - 8)
y = -1/2(x -4) - 4
y = -x/2 + 2 - 4
y = -x/2 - 2
Hence, the equation of the line that passes through the point (8,-4) and has a slope of 1/2 is; y = -x/2 - 2
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Plz hellppppp me u won’t regret it
Answer:
Area of circle = 200.96 units²
Step-by-step explanation:
The formula to find the area of a circle is: πr², where r is the radius (which is half of the diameter)
So the diameter is 16 and of 16 is 8, which is the radius.
Sub it into the formula of a circle and you would get the area of a circle.
3.14 x 8²
Use calculator
Area of circle = 200.96 units²
A jar holds 72 worms and a cup holds 8 how many more does the jar have than the cup
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
72 - 8 = 64
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A group of ‘n' friends decided to rent a condominium for a one week vacation in Florida. They decided to share the weekly rent of ‘m' dollars equally. If due to an unanticipated reason two members of the group couldn't make the trip, and the rest of the friends decided not to charge the two who pulled out for the rent; what will be the additional amount each of the remaining friends must pay for renting the condominium?
Answer:
2m / n² - 2n
Step-by-step explanation:
Given that:
Number of friends = n
Weekly rent = $m
To share rent fee equally :
Each friend will pay : $m / n
If 2 of the friend couldn't make the trip:
Additional amount to be shared by the others = 2(m/n) = 2m/n
Hence additional fee per friend who eventually made the trip:
Additional amount to be shared / number of friend who eventually made the trip
= (2m/n) ÷ (n - 2)
= 2m / n * 1 / n - 2
= 2m / n(n-2)
= 2m / n² - 2n
When dividing each of the numbers $$3759$$ and $$4139$$ by some positive integer number, the remainder happened to be equal to $$16$$. What is the smallest possible value of the divisor?
Answer:
The smallest possible value of the divisor is 19
Step-by-step explanation:
The given numbers for division are;
3759 and 4139, the remainder = 16
Let x represent the number
Therefore, we have;
x > 16
x is a factor of 3759 - 16 = 3743, and x is also a factor of 4139 - 16 = 4123
The factors of 3743 obtained from an online resource are 1, 19, 197, 3759
The factors of 4123 obtained from an online resource are 1, 7, 19, 31, 133, 217, 589, 4123
The common factors of 3743 and 4123 are 1, 19
Given that x > 16, we have, x = 19
Therefore, the smallest possible value that will divide both 3759 and 4139 whereby the remainder is 16 = 19
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.
Find the slope of the line, What is the meaning of the slope in this context?
6. If m∠COD=8x+13, m∠BOC=3x-10, and m∠BOD=12x-6, find m∠BOD
Answer:
Step-by-step explanation:
Given
m∠COD=8x+13,
m∠BOC=3x-10, and
m∠BOD=12x-6
The following addition property is true;
<BOD = <BOC + <COD
Substitute
12x-6 = 3x-10+8x+13
12x-6 = 11x+3
12x-11x = 3+6
x = 9
Get <BOD
<BOD = 12x-6
<BOD = 12(9)-6
<BOD = 108-6
<BOD = 102°
What expression is equivalent to 7(7v)
Answer:
its the 4th one . The one all the way to the bottom
Step-by-step explanation:
Find C. round to the nearest tenth:
Answer:
56.3 cm
Step-by-step explanation:
[tex] \dfrac{\sin 28^\circ}{27} = \dfrac{\sin 102^\circ}{c} [/tex]
[tex] c\sin 28^\circ = 27 \sin 102^\circ [/tex]
[tex] c = \dfrac{27 \sin 102^\circ}{\sin 28^\circ} [/tex]
[tex] c = 56.3 [/tex]
Answer: 56.3 cm
Answer:
56.3
Step-by-step explanation:
so the og person can get brainlyst
So ummm wut s x+45=98 ?
Answer:
53
Step-by-step explanation:
x+45=98
solve for x
x+45=98
-45 -45
x=53
Which option will result in the most exercise per day?
15, 30, and 60 are all
.
1, 2, and 4 are all
.
60 minutes is a
.
Which option will result in the most exercise per day?
Which expression is equivalent to 14x - 7 + 3(2x - 5)
Answer:
2(10x - 11)20x - 22I hope this helps!
Answer:
are there multiple choices below?????
all I can tell you is that the simplified version of that equation is 20x-22
Franklin school is having a Popsicle party for its nine hundred fifty four students.The secretary there will some Popsicle left over to share with the teachers. Each student will get two Popsicle. Popsicle come in boxes that have one dozen Popsicle. There are twenty-five boxes in cartoon, how many boxes of Popsicle? Show your work.
Answer:
175 boxes
Step-by-step explanation:
There are a total of 954 students since each student will get two popsicles that would mean we need a total of 1,908 popsicles (954 * 2). Since each box contains 12 popsicles then we simply divide the total number of popsicles needed by the number of popsicles that fit in each box to find the total number of boxes.
1,908 / 12 = 159 boxes
Since there are 25 boxes per carton we divide 159 by 25
159 / 25 = 6.36
Now we see that we need at least 6.36 cartons of popsicles, but since we can't get 6.36 we would need to get 7 cartons which would bring a total of
7 * 25 = 175 boxes
Finally, we would end up with 175 boxes of popsicles which would be enough for all the students and have leftover for the teachers.
Kenya picked 18 flowers from her garden. If 3− 5of flowers in her garden remain unpicked, how many flowers are still in her garden?
Answer:
4
Step-by-step explanation:
It is 4 because 4 is a even number in the scale in 3-4 and 18 is even.
Let me know if its wrong
The figure below is a square. If m2AEB = (5x + 15)°, what is the value of x?
Answer: x = 25
Step-by-step explanation: im pretty sure you would square 5 and get 25 then 15 and get 225, then you would divide those two numbers 225 and 25 and get 25
Find the surface area of a sphere with a radius of ²√² feet.
Answer:
Step-by-step explanation:
Remark
I'm going to take a guess that you mean
√2 for the radius.
Givens
r = √2
Area = 4 * pi * r^2
Solution
Area = 4 * 3.14 * (√2)^2
Area = 4 * 3.14 * 2
Area = 25.12 feet^2
3/20 of a number is what percentage
Answer:
The answer is 15%
Step-by-step explanation:
Hope that helps.
HELP PLEASE!!!! WILL MARK U BRAINIEST!!!!
Answer:
1 is congruent 2 is neither and 3 is similar
Step-by-step explanation:
mark me as brainliest
Select the correct answer. Which statement is true about this equation? -9(x + 3) + 12 = -3(2x + 5) − 3x A. The equation has one solution, x = 1. B. The equation has one solution, x = 0. C. The equation has no solution. D. The equation has infinitely many solutions.
Answer:
its D
Step-by-step explanation:
-9(x + 3) + 12 = -3(2x + 5) − 3x
-9x-27+25 = -6x-15-3x
-9x-15 = -9x - 15
same on both sides
so x has infinitely many solutions
The equation has no solutions. Option C is correct.
To figure out which statement is true for equation -9(x + 3) + 12 = -3(2x + 5) − 3x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
-9(x + 3) + 12 = -3(2x + 5) − 3x.
Simplification,
LHS
= -9(x + 3) + 12
= -9x -21 + 12
= -9x -9
RHS,
= -3(2x + 5) − 3x
= -6x - 15 - 3x
= -9x - 15
Equation RHS and LHS,
-9x - 15 = -9x -9
-15 = -9
Implies, the value of x terminate means the given expression has no solution,
Thus, the equation has no solutions. Option C is correct.
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Please help me please thank you so much in advance
Answer:
100°
Step-by-step explanation:
first you need to find the other angle. to do so do 180-135=45
so you know 2 angles now. 35° and 45°. Add these angles (you get 80°)
then 180-80=100
can someone do 1,3,4,8 and 9 pls
Answer:
See attached
Step-by-step explanation:
Attached graphs for 1, 3, 4, 8 and 9
Intersections marked on the graph, feel free to chose any additional point
can someone help me? (m is a variable if you didnt know, thats what im trying to figure out)-1.5m = -2.55
Answer:
m = 1.7
Step-by-step explanation:
Divide each side by -1.5 to cancel out the -1.5 next to m. It should now look like this: m = 1.7I hope this helps!
Hey, I don´t understand the graphing part of inequalities.
Answer:
See explaination
Step-by-step explanation:
While graphing inequalities, think of the inequality sign as an equal sign.
So, y=mx+b.
Say the inequality was y>3x+7, I would think fo the > as an equal sign.
So, in your head, "write" it like this: y=3x+7. Hope this helps.
Holly checked her answer to a division problem by estimating the quotient. Which is the best estimation of the quotient?
23.564 divided by 5.97
4
5
6
7
Answer:
A 4
Step-by-step explanation:
Please help! I will give brainliest!
(6^9·6^5)/ 6^15
Answer:
6^14/6^15 = 6^-1
Write this statement as a conditional statement in the form “if p, then q.”
The measure of an angle is 90 degrees. So, the angle is a right angle.
Answer:
if the measure of an angle is 90°, then the angle is a right angle.
Step-by-step explanation:
p=the measure of an angle is 90°
q=the angle is a right angle
p is the hypothesis of the conditional statement
q is the conclusion of the conditional statement
Which of the following equations is not a linear equation?
Answer:
its a
Step-by-step explanation:
Since x=5 is a vertical line, there is no y-intercept and the slope is undefined.
Answer:
A
Step-by-step explanation:
An equation of a line perpendicular to the line represented by the equation y = -
1/2 x - 5 and passing through (6,4) is what?
Answer:
y= 1/2x+1
Step-by-step explanation:
Answer:
[tex]y=2x-8[/tex]
Step-by-step explanation:
First, remember that perpendicular lines have opposite and reciprocal slopes to the original line. That means for this line, your slope will be 2 (flip the fraction and change the sign). So we have:
[tex]y=2x+b[/tex]
Next, plug in the point that it passes through in order to find the y-intercept (b).
[tex]4=2(6)+b[/tex]
[tex]4=12+b[/tex]
[tex]b=-8[/tex]
So your equation will be:
[tex]y=2x-8[/tex]
Hope this helped!
In the metric system, which prefix would you use for "1/100"?
A. Milli-
B. Hecto
C. Kilo-
D. Centi-
Answer:
Milli
Step-by-step explanation:
3x^3 + 3ax +2ax^2 + 2a^2
Show work if possible. Thanks!
Answer:
(2a + 3x)(x^2 + a)
Step-by-step explanation:
Factor 3x3 +3ax+ 2ax^2 +2a^2
2ax^2 + 3x^3 + 2a^2 + 3ax
=(2a+3x)(x^2+a)
~A line at Busch Gardens moves 25 feet every 8 minutes. How long will it take to reach the ride entrance 300 feet away?
Answer:
Step-by-step explanation:
45
Step-by-step explanation:
3x+x=180
4x=180
x=45
Hope this helps hit the crown :D
Answer:
Step-by-step explanation:
25 feet for 8 mins
300/25=12
8*12=96
The line will move to 300 feet in 96 mins