Answers
Answer:
Let's see the first two points: (-7, 5) and (-5, 9)
The line passes these points has a form of: y = Mx + b
=> 5 = (-7)M + b
9 = (-5)M + b
Subtract the 1st equation from 2nd equation, we have:
4 = 2M
=> M = 2
Substitute M back into 1st equation:
=> 5 = (-7)*2 + b
=> b = 19
=> y = 2x + 19
or y - 5 = 2x + 14
or y - 5 = 2(x + 7)
=> Option A is correct
Hope this helps!
:)
Answer:
A
Step-by-step explanation:
The difference between the values of y are constant, that is
17 - 13 = 13 - 9 = 9 - 5 = 4
This indicates the relationship is linear.
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table
m = [tex]\frac{9-5}{-5+7}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Use any ordered pair from the table for (a, b)
Using (a, b) = (- 7, 5), then
y - 5 = 2(x - (- (- 7)) , that is
y - 5 = 2(x + 7) → A
Related Questions
A student takes his 2 dogs for a walk. He lets them off their leash in a field where Edison runs at 10 m/s and Einstein runs at 8 m/s. The student determines the angle between the dogs is 25°, how far are the dogs from each other in 5 seconds?
Answers
Answer:
The dogs are 21. 8 m from each other in 5 seconds
Step-by-step explanation:
Given;
speed of Edison, v = 10 m/s
speed of Einstein, u = 8 m/s
angle between the two dogs, θ = 25°
let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m
let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m
let the distance between the two dogs after 5 seconds = z
x , y and z forms a triangle with an angle between x and y as θ
The third side, z, can be calculated using cosine rule
z² = x² + y² - 2xyCosθ
z² = 50² + 40² - (2 x 50 x 40)Cos25
z² = 4100 - 4000Cos25
z² = 474.7689
z = √474.7689
z = 21.789 m ≅ 21. 8 m
Therefore, the dogs are 21. 8 m from each other in 5 seconds
someone help me find BC
Answers
Answer:
BC can be found after A and before D lol jkjk the answers 2.3
Step-by-step explanation:
sin(50°) = d / 3
sin(50°) = 0.766
0.766 = d / 3
Start with:
0.766 = d / 3
Swap sides:
d / 3 = 0.766
Multiply both sides by 3:
d = 0.766 x 3
Calculate:
d = 2.298
So BC = 2.298
Round to 2.3
Answer:
Answer:to find BC. u use sine because it is opposite divided by hypotenuse.
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3=2.298=2.30 to the nearest hundredth
Which of the following is not a case of direct variation?a Number of sheets of some kind and increased when their total weight its inceased. b More quantity of petrol is required to travel more distance with a fixed speed. c More fees would be collected if number of students increased in a class. d Time taken will be less if number of workors are increased to complete the same work.
Answers
Answer:
Step-by-step explanation:
If two variables, x and y have a direct variation, it means that an increase in x would lead to a corresponding increase in y. A decrease on x would lead to a corresponding decrease in y.
Therefore, we would compare the scenarios to determine which is not a direct variation. The correct option is
d) Time taken will be less if number of workers are increased to complete the same work.
The rest are direct variation scenarios
Please answer (-3+4)2 and another one is -5(4-2) I need answers to both pleaseee
Answers
Answer:
Step-by-step explanation:
Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.
1.)3 x 2 + 3 x 8 = 24
Now that you got the steps down, ima do the rest in my head
2.) 2
3.) -10
4.) -50
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = ab + ac
a(b - c) = ab - ac
1) 3(2 + 8) = 3*2 + 3*8
= 6 + 24
= 30
2) (-3 + 4)2 = -3*2 + 4*2
= -6 + 8
= 2
3) -5(4 - 2) = -5*4 - (-5)*2
= - 20 + 10
= -10
4)(12 +13)(-2) = 12*(-2) + 13 *(-2)
= -24 - 26
= -50
1
Manny tosses a dime 500 times, and it lands on heads 325 times.
What is the theoretical Probability the the dime lands on tails?
(10 Points)
2/3
250/500
o 1/2
13/20
Answers
Answer:
7/20
Step-by-step explanation:
He tosses the dime 500 times and it lands on heads 325 times.
There are only two possibilities in a coin toss: Head or tails
This means that it lands on tails:
500 - 325 = 175
The theoretical probability of the dime landing on tails is:
175 / 500 = 7/20
Carlos is five years older than twice his sister's age. Carlos is 13.
Which equation and solution correctly identifies his sister's age?
A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer
Answers
Answer:
a. ) 4
Step-by-step explanation:
13-5= 8
8/2=4
Answer:
A.) 2 x + 5 = 13; x = 4
Step-by-step explanation:
Rohan and Ronit went to the sea shore during their vacations they stood at a point and decided it to be the starting point. For every step Ronit moved forward Rohan took three steps backward . If the distance covered between the starting point and Ronit is +96 then find out Rohan's position and the distance between Ronit and Rohan .
Answers
Answer:
-288
Step-by-step explanation:
math
What are some words that relate to geometry but are difficult to precisely define
Answers
Answer:
the point the line the planeStep-by-step explanation:
:D
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.583
Answers
Answer:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]
And if we use the t- table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Step-by-step explanation:
For this case we know that the degrees of freedom are given:
[tex] df = n-1= 16[/tex]
And we want to find the following probability:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]
And if we use the t-table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Simplify (x-5)+(X+1)
Answers
Answer:
2x - 4
Step-by-step explanation:
x - 5 + x + 1
→Add like terms (x and x, -5 and 1):
2x - 4
The equation x2 - 7x=0 when solved is:
Answers
Answer:
x =0 x=7
Step-by-step explanation:
x^2 - 7x=0
Factor out an x
x(x-7) =0
Using the zero product property
x =0 x-7 =0
x =0 x=7
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie's explanation? Kylie is correct. Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly. Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly. Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
Answers
Answer:
Given:
Step-by-step explanation:
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
This is because the product will be a trinomial and the polynomial will not result in a difference of squares. A difference of squares is when the factor are inverse to each other.
C- Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
A candle maker uses a mold to make candles like
the one shown below.
(photo attached)
The height of the candle is 13 cm and the
circumference of the candle at its widest measure is
31.416 cm. Use modeling to approximate how
much wax, to the nearest cubic centimeter, is
needed to make this candle.
Answers
Answer: 340 cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Circumference = 2π radius
Replacing with the circumference value and solving for r:
31.416 =2π r
31.416 /2π =r
5cm =r
And then:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
V = 1/3 π (5)^2 (13) = 340 cm3
Feel free to ask for more if needed or if you did not understand something.
who can solve ? 9y < -3
Answers
Answer:
y< -1/3
Step-by-step explanation:
To solve the inequality, we must get the variable, y, by itself.
9y< -3
Perform the opposite of what is being done to the equation, to both sides.
y is being multiplied by 9. The opposite of multiplication is division. Therefore, divide both sides by 9.
9y/9 < -3/9
y< -3/9
-3/9 can be reduced. 3 can be divided evenly into both the numerator (top number) and denominator (bottom number).
y< (-3/3) / (9/3)
y< -1/3
Find the third side in simplest radical form
Answers
Answer:
[tex] 2 \sqrt{71} \: units[/tex]
Step-by-step explanation:
Given is a right angled triangle in which third side is the hypotenuse.
Therefore, by Pythagoras theorem:
[tex]thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units[/tex]
Someone please help ASAP
Answers
Answer:
5050
Step-by-step explanation:
To solve via calculator, go to the MATH menu, then the 0th option should say "summation" and insert it from there.
To solve algebraically, break the summation into 2 parts. Excuse the strange formatting, I can't find a way to do it normally.
4([tex]\frac{50}{1}[/tex]∑n) -
= 4( [tex]\frac{50(50+1)}{2}[/tex]) - 50(1)
= 5100 - 50
= 5050
Answer pleaseeee ASAP
Answers
Answer:
93 square metres
Step-by-step explanation
The formula for surface area is 2ab+2ac+2bc, and with no lid one bc can be removed.
Suppose a=7 b=3 and c=3
2(7x3)+2(7x3)+(3x3)=93
Which of the following are accepted without proof in a logical system check all that apply
Answers
Answer:
postulates, common notions, and axioms
PLEEEASE HELP!!! EXPLAIN ALL PARTS!!!
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
Answers
Answer:
see below
Step-by-step explanation:
A: Some points could be (1, 7.5), (2, 7), (3, 6.5), (4, 6), (5, 5.5) and (6, 5) because the y-coordinates all represent the heights of the candle after the x hours.
B: This is a function because no input has multiple outputs.
C: It would still be a function because no input would have multiple outputs.
Answer:
Have a great day!!
Step-by-step explanation:
Part A: my rate of change was first y= - 5x + 8 the reason i put a negative sign beforehand is that when the candle melts its height it's decreasing
(0,8),(1,7.5)(2,7)(3,6.5)(4,6)(5, 5.5)
Part B: This is a function because there is one different output for each different input
Part C: yes, it still would be a function because the numbers haven't changed and are exactly the same and it still has one input for each output.
(0,8), (1,75), (2,7), (3,6.5), (4,6), (5,5.5)
If someone could do this it’s be greatly appreciated!
Answers
Answer:
a). A = -2x² + 200x
b). Widths = 40 feet and 60 feet
Step-by-step explanation:
It is given that length of the fencing material = 200 feet
a). Peg wants to cover the vegetable garden from three sides with the given fencing material.
If length of the garden = l
and width of the garden = x
l + x + x = 200
l + 2x = 200
l = (200 - 2x) feet
Therefore, area of the garden = Length × width
A = [tex](200-2x)\times x[/tex]
A = -2x² + 200x
b). Foe A = 4800 square feet,
4800 = -2x² + 200x
2x² - 200x + 4800 = 0
x² - 100x + 2400 = 0
x² - 60x - 40x + 2400 = 0
x(x - 60) - 40(x - 60) = 0
(x - 60)(x - 40) = 0
x = 40, 60 feet
Therefore, widths of Peg's garden will be 40 feet and 60 feet.
Which of the following is not true if the polygon is a square?
O A. slopers. slopesc = -1, slope slopesc = -1, sloped slope = -1,
and slope AB
• Slopezd = -1
B. The slopes of the adjacent line segments are equal.
O C. AB = BC = CD = AD
O D. slopezp=slopego
Answers
Answer:
the slopes of the adjacent line segments are equal......
Step-by-step explanation:
hope it's helpful
Find the slope of the line that passes through (2, 16) and (10, 7).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
-9/8
Hope this helps
The right answer is - 9/8
please see the attached picture for full solution
Hope it helps..
Help me quickly I will give brainliest answer to who does it first, look at picture
Answers
Answer:
V = 54 π units³
OR
V = 169.6 units³
Step-by-step explanation:
Volume of a cylinder = [tex]\pi r^2 h[/tex]
V = (3.14)(3)²(6)
V = (3.14)(54)
V = 54 π units³
OR
V = 169.6 units³
(4x2 + 7x)(5x2 – 3x)
A. 2034 + 35x3 - 21x2
O B. 202A + 23x3 - 21x2
C. 20x4 + 23x2 - 21%
O D. 20A + 35x2 – 21x
Answers
Answer:
work is shown and pictured
A number is chosen at random from the set of two digits numbers from 10 to 99 inclusive. what is the probability the number contains at least one digits 2?.
Answers
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
There are 99 - 10 + 1 = 90 numbers between 10 and 99
There are 18 numbers that have at least one two digit.
[tex]\frac{18}{90}=\frac{1}{5}[/tex]
PLEASE HELP!! Rick uses this exponential expression to determine what the value of his bank account will be in three years. Select the value in the expression that represents the number of times per year that interest is compounded on the account.
5,000(1+0.04/12)^12t
Answers
Answer:
12
Step-by-step explanation:
A compound interest equation is represented as A = P(1 + r/n)^nt, where n=the number of times per year the interest is compounded. In the given equation, n=12.
Answer:
12
Step-by-step explanation:
In which number is the value of the 6 ten times the value of the 6 in the number
6,000?
Answers
Answer:
600
Step-by-step explanation:
the value of 6 in 6000 is thousands
600x10=6000
Answer:
Step-by-step explanation:
a theatre ticket costs £63 plus a booking fee of 3%.
what is the total price of the ticket?
Answers
Answer:
64.89£
Step-by-step explanation:
Given:
Theater ticket costs £63
Booking fee: 3% of original price
Solve for:
Total price of ticket
Solution:
Step 1: Select relevant procedure
The total price including the booking fee, then before working out the total price, the booking fee should be calculated.
Step 2: Perform the calculation
The booking fee of ticket is calculated by:
BF = 3% of £63 or (3/100) x 63 = 1.89
Adding up the ticket price and booking fee to get total price:
Total price = ticket price + booking fee = 63 + 1.89 = 64.89£
Hope this helps!
:)
this is because 1% of £63 is 0.63 and if u multiply 0.63 by 3 then the answer is £1.89. you should then add 1.89 onto 63 and that gives u a final answer of £64.89
what is the solution to the equation x-16=-8
Answers
Answer:
x = 8
Step-by-step explanation:
8 minus 16 equals to a negative answer, resulting to -8.
Answer:
x = 8
Step-by-step explanation:
Add 16 to both sides of the equation.
x = −8 + 16
Add − 8 and 16
x = 8
Simplify the expression by combining like terms.
22+5m-4m+7n8
Answers
Answer:
Second Option, m+7n+30
Step-by-step explanation:
First I'd combine the m terms
22+5m-4m+7n-8
5m-4m
=1m
22+1m+7n+8
Now the numbers with no variable
22+1m+7n+8
22 + 8
=30
m+7n+30 is our final answer
Answer:
7n +m +14
Step-by-step explanation:
22 +5m -4m +7n -8
=7n +5m -4m +22 -8
=7n +m +14
