Start with the point-slope formula, shown below in bold.
Y - y1 = m(x - x1)Our point which in this case is (6, 8) represents (x1, y1) in our formula.
~Substitute
Y - 8 = -2(x - 6)
I will be writing this equation in standard form.
First distribute the -2 through the parentheses.
This gives us y - 8 = -2x + 12.
Next we would move the -8 to the right side of the equation
by adding 8 to both sides to get y = -2x + 20.
Finally we move our x term to the left side of the equation
by adding 2x to both sides and our answer is 2x + y = 20.
CORRECT AND CLEAR ANSWER WILL BE GIVEN BRAINLIEST An object of mass 0.30 kg is thrown vertically upwards and reaches a height of 8.0 m. Calculate: (a) it's final potential energy (b) The velocity with which it must be thrown, neglecting air resistance ( assuming g = 10m/s²)
Answer:
Final potential energy = 24 Joule
The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s
Step-by-step explanation:
Given:
Mass of object, m = 0.30 Kg
Height of object, h = 8 m
Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]
a) Formula for Potential Energy:
[tex]E_p =mgh[/tex]
Where m is the mass of object
g is acceleration due to gravity and
h is the height of object
Putting the values of m, g and h
[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]
b) Formula for initial and final velocity:
[tex]v^{2} =u^{2} +2gh[/tex]
where v is the final velocity
u is the initial velocity with which the object is thrown
g is acceleration due to gravity and
h is the height obtained by object
here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.
h = 8m
g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)
Putting the values to find 'u':
[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]
Prove that
(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan A = [tex]\frac{sinA}{cosA}[/tex] , cot A = [tex]\frac{cosA}{sinA}[/tex]
Consider the left side
(1 + cotA + tanA)(sinA - cosA)
each term in the second factor is multiplied by each term in the first factor.
1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)
= sinA - cosA + cosA - [tex]\frac{cos^2A}{sinA}[/tex] + [tex]\frac{sin^2A}{cosA}[/tex] - sinA ( collect like terms )
= [tex]\frac{sin^2A}{cosA}[/tex] - [tex]\frac{cos^2A}{sinA}[/tex]
= ( sinA × [tex]\frac{sinA}{cosA}[/tex] ) - ([tex]\frac{cosA}{sinA}[/tex] × cosA )
= sinAtanA - cotAcosA
= right side ⇒ proven
Which expressions have a positive product? *
–(5)(–0.2)(–1.9)(9)
–(2.14)(1.6)(14)
(6.3)(–8.7)(0.7)
(8.5)(–0.4)(–2.7)
Answer:
The fourth choice is the correct one.
Step-by-step explanation:
If the count of negative signs is even, the product is even (positive).
This does not apply to the first choice; this expression is odd.
Same for the second choice.
Same for the third choice. The expression is odd.
The fourth choice is POSITIVE because there are an even number (2) of negative signs.
Solve for x.
8(x + 1) - 31x + 4) = 7(2 - x)
Answer: -8.5625
Step-by-step explanation:
Use the distributive property.... ex: 8(x+1)= 8x+1 (by multiplying both by 8)
8x+1-31x-124=14-7x
Combine like variables
-23x-123=14-7x
Bring like variables to the same side of the equation by changing the sign(+,-)
-16x=137
Divide -16 by both sides
x=-8.5625
Why is it important to consider multiplicity when determining the roots of a polynomial equation? Write your response, citing mathematical reasons and providing examples that you create In order to receive full credit for this prompt, please answer the following questions: What it multiplicity? What does it tell us? Why must we take multiplicity into account when talking about the number of roots a polynomial has? What does multiplicity tell us about how the graph behaves at the roots?
Answer:
Step-by-step explanation:
The multiplicity of a root of a polynomial equation is the number of times it appears in the solution.
Multiplicity is important because it can tell us two things about the polynomial that we work on and how it is graphed. first: it tells us the number repeating factor a polynomial has to determine the number of the real (positive or negative) roots and complex roots of the polynomial.
About graph behaves at the roots : Behavior of a polynomial function near a multiple root
The root −4 is a 'simple' root (of multiplicity 1), and therefore the graph crosses the x-axis at this root. The root 1 is of even multiplicity and therefore the graph bounces off the x-axis at this root.
123
12
a
d
3
and which term are like terms?
Answer:
3ad3 will be the answer
Step-by-step explanation:
Answer:
3ad3
Step-by-step explanation:
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.09
6.0%
1-year: $2200, 2-year: $3200, 3-year: $6600
1-year: $4000, 2-year: S5000, 3-year: $3000
1-year: S3200, 2-year: $4200, 3-year: $4600
1-year: $1000, 2-year: S2000, 3-year: $9000
Question :
justinapace7446
Yesterday
Mathematics
High School
+5 pts
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.0%
6.0%
Answer:
1-year: $2200, 2-year: $3200, 3-year: $6600
Step-by-step explanation:
Assume y = Amount invested for 1 year.
y + 1000 = investment amount for 2 years
12000 - (y + y + 1000 ) = amount invested for 3 years
11000 - 2y = amount invested for 3 years
Total interest
Multiplying each by its corresponding rate
(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600
0.02y + 0.05y + 50 + 660 - 0.12y = 600
-0.05y + 710 = 600
-0.05y = 600 - 710
-0.05y = - 110
y = 2200
Therefore first year = y = $2200
Investment for 2 years =y + 1000 = 2200 + 1000 = $3200
Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600
what is 15 minutes to 1 hour
Answer:
1:4 or 25% or 1/4
Step-by-step explanation
There are 60 minutes in an hour and 60 divided by 15 is four. So basically, 15 minutes is 1/4 of an hour, 25% of an hour, and 1:4 of an hour.
Solve for x. -7x= -8x+7
Answer:
x = 7
Step-by-step explanation:
-7x= -8x+7
Add 8x to each side
-7x+8x= -8x+8x+7
x = 7
Answer:
The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]-7x = -8 x + 7[/tex]
Add both sides by [tex]8x[/tex]:
[tex]-7x + 8x = -8x + 8x + 7[/tex]
[tex]x = 7[/tex]
So, the final answer is [tex]x = 7[/tex] .
I know this is a SUPER easy question, i’m just dumb. Question in photo.
Answer:
Quadrant III (Answer C)
Step-by-step explanation:
(4, 7) is in Quadrant I. Rotating it 180 degrees around the origin places it in Quadrant III (Answer C).
Answer:
Quadrant 3 (Answer C)
please answer asap for brainliest
Answer:
5/8
Step-by-step explanation:
count the squares between one point to the other
Answer:
slope= 7/4
Step-by-step explanation:
It is better to find a couple of line points on the plane whose coordinates are easy to read. two such points are: (-1,-3) and (3, 4) (see attached image).
Then use the slope formula with them:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-3)}{3-(-1)} =\frac{7}{4}[/tex]
Which statement correctly describes the slope of the linear function that is represented by the data in the table?
Х
8
8
8
8
8
у
-8
4
0
4
8
O The slope is positive.
O The slope is negative.
O The slope is zero.
O There is no slope.
Answer:
there is no slope :)
Step-by-step explanation:
give the other person brainliest bc theyre swag
Ann increased the quantities of all the ingredients in a recipe by 60%, percent. She used 80 grams , of cheese. How much cheese did the recipe require?
Answer:
The recipe originally required 50 grams of cheese.
Step-by-step explanation:
1.6x=80
x=50
Find the term to term rules for the following sequences:
2, 6, 18, 54, 162
Step-by-step explanation:
U=ar^(n-1)
r=6/2=3
a=2
U=2(3)^n-1=6^n-1
how do you multiply decimals like whats 6.8 times 1.6.
Answer:
10.88
Step-by-step explanation:
u do it like long multiplication just with decimals
6.8 times 1.6 = 10.88
Answer: 10.88
Step-by-step explanation:
6.8 x 1.6 = 10.88
you can multiply them without the decimals first then when you got the answer, you can count how many decimal places are there and place a decimal place where shoud be
What point is located 4 points from point M?
A. Point A
B. Point B
C. Point C
D. x-axis
E. y-axis
factorise m²-14m+49
Answer:
(m-7[tex])^{2}[/tex]
Step-by-step explanation:
Simplify the expression below. (–7x + 4) – (2x – 8)
Answer:
- 9x + 12
Step-by-step explanation:
Given
(- 7x + 4) - (2x - 8) ← distribute parenthesis by 1 and - 1
= - 7x + 4 - 2x + 8 ← collect like terms
= - 9x + 12
If X || Y and Y || Z, then ____
Answer:
If X || Y and Y || Z, then X_|| Z___
Step-by-step explanation:
This is transitive property
I don't understand this math problem need help plz!
Answer:
A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)
Step-by-step explanation:
When rotating about the origin at an angle of 90° in the counterclockwise direction, the given values of (x, y) are interchanged with y also taking a negative sign. That is ;
(x, y) - - - -> (-y, x)
Therefore, in the question above ;
Translation = (x-2, y+3)
A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4) - - -> A' = (-4, - 7)
B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5) - - -> B' = (-5, -4)
C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4) - - -> C' = (-4, -3)
D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3) - - -> D' = (-3, -4)
At summer camp, some people collected pine cones.
1
2
3
4
5
6
Pine cones found
What is the range of the numbers?
Answer:
5
Step-by-step explanation:
The range is the largest minus the smallest; 6-1= 5
Plss brainliest
First, subtract the minimum from the maximum to find the range
6 - 1 = 5
so your range is 5
Traci is collecting donations for a dance marathon. One group of sponsors will donate $36 for each hour she dances. Another group of sponsors plans to donate $75 no matter how long she dances. Traci plans to dance until she has raised at least $1,200. Let h represent the number of hours that Traci dances. Write and solve an inequality to determine the minimum number of hours that Traci needs to dance in order to raise $1,200.
Answer:
36h + 75 < 1200
solve:
36h + 75 = 1200
36h = 1125
h = 1125 divided by 36 = 31.25.
Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
Answer:
J = 0.5k + 5
Step-by-step explanation:
Simplify the expression 3x(2x2).
O A.
5x²
OB.
m
5
OC.
m
OD.
6x6
Answer:
6 x^3
Step-by-step explanation:
3x(2x^2).
3*2 = 6
x * x^2 = x^3
6 x^3
In December, Sara's Sodas produced 4.0 million liters of the beverage. Manufacturing overhead was $1,435,000 and the cost per liter was $0.47. Labor costs were 25 percent of materials cost. Required: a. Calculate the materials cost for December.
Answer:
The material cost for December = $356,000
Step-by-step explanation:
The manufacturing overhead is the sum of the indirect costs that come from the manufacturing process except labor and materials
Hence, whereby the cost per liter = $0.47, we have;
Total volume produced = 4.0 million liters
Manufacturing overhead = $1,435,000
Total cost = Cost per liter × Total volume produced
∴ Total cost = 4 × 10⁶ × $0.47 = $1,880,000
Hence the cost of labor + materials = Total cost - Manufacturing overhead
the cost of labor + materials = $1,880,000 - $1,435,000 = $445,000
Labor cost = 25% material cost = 0.25 × material cost
∴ 0.25 × material cost + material cost = $445,000
1.25 × material cost = $445,000
material cost = $445,000/1.25 = $356,000
Which gives labor cost = 0.25 × $356,000 = $89,000
The material cost for December = $356,000.
A cylinder has a radius of 3 cm and height h cm. If the volume is 7211 cm^3.
what is the value of h?
Answer:
[tex]255.04[/tex] cm
Step-by-step explanation:
[tex]\pi r^{2} h[/tex]
[tex]\pi \times 3^2 \times h=7211[/tex]
[tex]\pi \times 9 \times h=7211[/tex]
[tex]h=7211 \div 9\pi[/tex]
[tex]h \approx 255.036954[/tex]
Answer:
h = 255.2 cm³
Step-by-step explanation:
V=πr²h
7211 = (3.14)(3)²h
h = 255.2 cm³
Nick simplified this expression. Is his answer correct?
O No Nick multiplied before dividing
O No. Nick should have converted to all decimals first.
O No. The first step should be division
O Yes. Nick did not make a mistake
Answer:
is A
Step-by-step explanation:
No. Nick multiplied before dividing
Answer:
the answer is nick multiplied before dividing.
Step-by-step explanation:
Please help! Correct answer only!
In a raffle, one ticket out of 1,000 will win a $870 prize, one ticket will win a $820 prize, and one ticket will win a $740 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56
Step-by-step explanation:
Consider the steps below;
[tex]Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56[/tex]
Solution; " Expected Payoff " ⇒ $ 1.56
why is 8.8 a rational number
Answer:
See below
Step-by-step explanation:
8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10
I will mark you brainliest!!
Answer:
C: .94
Step-by-step explanation:
7e^x=18
x=ln(18/7)
x=ln(2.5714)
x=.94
