Answer:
y = 5/6x + 8/3
Step-by-step explanation:
Remember that the slope intercept formula is:
y = mx + b (m is the slope and b is the y-intercept)
We know that slope = 5/6 therefore m = 5/6
So far we have the equation: y =5/6x + b
Now we must find b
To do that, you must plug in the point the line goes through in the x and y of the equation. Point (-2, 1) go through the equation:
y = 5/6x + b
1 = 5/6(-2) + b
Now solve for b
First, you will multiply 5/6 by -2
1 = -5/3 + b
Add 5/3 to both sides
1 + 5/3 = -5/3 + 5/3 + b
8/3 = b
Now that we have b, we can now complete the equation.
y = 5/6x + 8/3
The equation which represents line with slope 5 / 6 and passes through the point ( - 2 , 1 ) is y = 5 / 6 x + 8 / 3
What is a Linear Equation?
A linear equation is an algebraic equation of the form y = m x+ c involving only a constant and a first-order (linear) term, where m is the slope and c is the y-intercept.
Given data ,
Slope of the equation m = 5 / 6
Line passes through the point P ( x , y ) = P ( -2 , 1)
So the linear equation is y = m x + c
Substituting the value of slope m in equation , we get
y = ( 5 / 6 ) x + c
Substituting the values of x and y from the point P ( x , y ) = P ( -2 , 1) , we get
1 = ( 5 / 6 ) × ( - 2 ) + c
1 = ( - 5 / 3 ) + c
c = 1 + ( 5 / 3 )
And c = 8 / 3
Therefore , the equation y = m x + c becomes , y = ( 5 / 6 ) x + 8 / 3
Hence , the equation which represents line with slope 5 / 6 and passes through the point ( - 2 , 1 ) is y = 5 / 6 x + 8 / 3
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For a science experiment, Jack adds 1 tsp of salt to 3 tsp of water. Mika adds 4 tsp
of salt to 9 tsp of water. Whose water is saltier?
Answer:
Mika
Step-by-step explanation:
Jack's water is 1/3 salty water while Mika's water is 4/9 salty water and 1/3 = 3/9. 4/9 is greater than 3/9 so mika's is saltier.
which statements are true about rectangle ABCD?
Answer:
the answer will be B and D
Step-by-step explanation:
Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and a half centimeters and three and a half centimeters. The altitude of the trapezoid is 4 centimeters.
Answer:
[tex]10cm^2[/tex]
Step-by-step explanation:
We are given that
Two parallel sides of trapezoid are
[tex]a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm[/tex]
[tex]b=3\frac{1}{2}=3+0.5=3.5 cm[/tex]
Height of trapezoid, h=4 cm
We have to find the area of the trapezoid.
We know that
Area of trapezoid=[tex]\frac{1}{2}(a+b)h[/tex]
Where a and b are two parallel sides
h=Height of trapezoid
Using the formula
Area of trapezoid=[tex]\frac{1}{2}(1.5+3.5)\times 2[/tex]
Area of trapezoid=[tex]10cm^2[/tex]
Abby is registering at a Web site and must select a six-character password.The password can contain either letters or digits.
a.How many passwords are possible if characters can be repeated? if no characters can be repeated?
b.How many passwords are possible if all characters are letters that can be repeated? if the password must contain exactly one digit? Which type of password is more secure? explain
Answer:
a. 2176782336 with repeated characters. 1402410240 with no repeated characters.
b. 7964171460 when all letters can be repeated, but not numbers. 118813760 when only one number and letters can be repeated.
I believe that the password with all letters able to repeat and numbers not being able to is the most secure password, because if someone were to guess the password there is a 1/7964171460 chance of guessing the password.
Step-by-step explanation:
A. Since there are 26 different letters and 10 different numbers, there are 36 characters we can type. If characters can be repeated then, there is 2176782336 different passwords, since on all six number there are 36 possibilities each. So, 36 x 36 x 36 x 36 x 36 x 36 or 36^6 is to evaluated to find the answer. If characters are not to be repeated, there are 1402410240 different passwords, since on the first number there are 36, second has 35, third has 34, fourth has 33, fifth has 32, and sixth has 31. So, 36 x 35 x 34 x 33 x 32 x 31 is to be evaluated to solve this.
B. Since all characters that are letters can be repeated, then there are 26 letters to use forever and 10 numbers you can use with a limit. So, 36 x 35 x 34 x 33 x 32 x 31 which is to be solved if only numbers were to be used, which is 1402410240. Then, you add that with 36 x 35^5 and 36 x 35 x 34^4 and 36 x 35 x 34 x 33^3 and 36 x 35 x 34 x 33 x 32^2. which will be 7964171460. If the password must contain one digit, then you must multiply 10 with 26^5. Since, there is 10 different digits to use for the first number and 26 letters to choose from for the other five. So, it will be 26^5 times 10 which is 118813760.
45% of z is 72. The value of z is
Answer:
z= 160
Explanation
Answer:
z=160
Step-by-step explanation:
you simply just have to do this
72×100÷45
What is the slope (15, 8), (-17, 9)
Answer:
m = -1/32
Step-by-step explanation:
Hellppppp pleaseeee ASAP
Answer:
can you type the answer because the picture doesn't show i can help you I'm in college and know basically everything about math type it in and i gotchu homie
Answer:
Hola its MEEEE
Step-by-step explanation:
similar right triangles plss helpp
Answer:
your añswer is c) I hope it helps!
Answer:
C
Step-by-step explanation:
Find the sum. Write your answer in standard form. Look at the screenshot below!
Step-by-step explanation:
[tex] \tt{(6 {x}^{3} + 3 {x}^{2} + 3) + (2 {x}^{3} - 5x + 1) }[/tex]
Remove the unnecessary parentheses
⟶ [tex] \tt{6 {x}^{3} + 3 {x}^{2} + 3 + 2 {x}^{3} - 5x + 1 }[/tex]
Combine like terms. Like terms are those which have the same base. Remember that only coefficients of like terms can be added or subtracted and their bases remains the same.
⟶ [tex] \tt{6 {x}^{3} + 2 {x}^{3} +3 {x}^{2} + 3 + 1 - 5x}[/tex]
⟶ [tex] \tt{8 {x}^{3} + 3 {x}^{2} + 4 - 5x}[/tex]
In standard form , the expression should be written in a way that power of variables goes from highest to lowest.
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed {\underline{ \tt{8 {x}^{3} + 3 {x}^{2} - 5x + 4}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Helpppppppppppppppppp is this right
Answer:
The first one is B and the second one is correct
Step-by-step explanation:
Answer:
I think 1 is actually B and 2 is right -Your friend, Bill Cipher
Step-by-step explanation:
Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.
Answer:
[tex]3x+5y[/tex]
Step-by-step explanation:
Subtract (6x-3y) from (9x+2y):
[tex](9x+2y)-(6x-3y)[/tex]
This can also be seen as:
[tex](9x+2y)-1(6x-3y)[/tex]
Distribute the -1 to (6x-3y):
[tex](9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y[/tex]
Simplify the parentheses:
[tex]9x+2y-6x+3y[/tex]
Group like terms:
[tex](9x-6x)+(2y+3y)[/tex]
Combine:
[tex]3x+5y[/tex]
This expression can't be further simplified. Therefore, 3x+5y is the answer.
:Done
In the parallelogram below find the value of q
Answer:
q = 9
Step-by-step explanation:
we can see it is a parallelogram so opposite sides are equal.
q - 3 = 6 ( being opposite sides of parallelogram)
q = 6 + 3
q = 9
Solve the simultaneous equations.
Please help
Answer:
x=1/2, y=4
Step-by-step explanation:
Double both sides of the top equation:
4x+6y=26
Now subtract boths sides of the second one from the first one:
(4x+6y) - (4x-y) = 26 - (-2)
7y = 28
so y = 4
4x-y=-2 so 4x-4=-2
4x=2
x=1/2
Ethan and Bob are having a skateboard race. Ethan began at the starting line
and rode at a constant rate of two feet per second. Bob had a fourteen-foot
head start and rode three feet every five seconds.
What's is the linear equation
Answer:
aa
Step-by-step explanation:
aa
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Answer: Rs. 25,300
Step-by-step explanation:
First find the original price of the plot:
Assume this price is x:
x * ( 1 - 15%) = 18,700
0.85x = 18,700
x = 18,700/0.85
x = Rs. 22,000
To make a gain of 15%, sell at:
= 22,000 * (1 + 15%)
= 22,000 * 1.15
= Rs. 25,300
please with full explanation please it's urgent
Answer:
u have some very good handwriting
Suppose a constellation of stars is plotted on a coordinate plane. The coordinates of the first star are (–2, 4). The second star is translated down 4 units. What are the new coordinates?
Answer:
Coords (-2,0)
Step-by-step explanation:
Translation means moving the point in the direction that is stated by the amount stated. Down means decreasing the number value along the y-intercept. So using simple math subtract 4 by 4 and you get 0. Since we don't move the left or right which means going along the x-intercept lines. We get (-2,0)
8 pomegranates cost $20.24.
How many full pomegranates can you buy for $50?
plz help
Answer:
19.76
Step-by-step explanation:
8/20.24=x/50
cross product
20.24*x=8*50
20.24x=400
x=400/20.24
x=19.76
Please help.
Is Algebra.
Heng tried to define a reflection across line r.
Any point M not on the line of reflection maps to a point M' such that the midpoint L of M→M' is on line r.
Which counterexample shows that Heng's definition does not fully define a reflection?
The counterexample shows that Heng's definition does not fully define a reflection is Heny fully defined a reflection. Option D
How to determine the counterexampleConsider the counterexample in which point M is above line r and the line itself is a vertical line.
Assume M is located at (0, 2) and that line r is the x = 1 line. Heng's definition states that point M', which has a midpoint L that is on line r, should reflect point M across line r.
However, point M' at (-1, 2) would be the reflection of point M across line r, which does not meet the requirement that the midpoint L lies on line r. Therefore, in this counterexample, Heng's definition does not adequately characterize a reflection.
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Using The graph below identify the axis of symmetry for the parabola below 
Answer:
x=-3
Step-by-step explanation:
The axis of symmetry is the line that separates a parabola directly in half. It is measure on x axis because it is being split in terms of that number. Next, you identify the origin and find exactly where the parabola is in half and that is your answer. Another way to do this would be to identify the vertex of the parabola. The answer is the x coordinate of the location of the vertex. (The highest point of a parabola.)
Can somebody give the answer pls
Answer: OOO I KNOW THE FOURTH ONE
Step-by-step explanation: y^2 + z^2 = x^2
Answer:
D
Step-by-step explanation:
According to the Pythagorean's theorem, in a right triangle, the sum of the adjacent side squared and opposite side squared is equal to the hypotenuse squared in other words
[tex]y^{2} + z^{2} = x^{2}[/tex]
1 of 9 3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls?
Answer: 1304
Step-by-step explanation:
Fraction of the boys = 3/7
Fraction of the girls = 1 - 3/7 = 4/7
Number of students = 2282
The number of girls will be:
= Fraction of girls × Total number if students
= 4/7 × 2282
= 1304
There are 1304 girls
Sal has 3 of a sheet of poster board. Four friends are sharing the sheet equally. What fraction of the original sheet does each friend get?
Answer:
Step-by-step explanation:
3 sheets are shared between four friends.
Each friends will get = 3 ÷ 4
= [tex]\frac{3}{4}[/tex]
Find the surface area of a cylinder with a base radius of 4 yards and a height of 9 yards
Answer:
i think 72 yards
Step-by-step explanation:
4×2=8 8×9=72 (note iam still in seven grade iam not sure of my answer
On a windless day In Janurafy, Carl ties 300 helium filled balloons to his lawn chair 80ft from his 20ft tall house, and begins a vergical ascent into the sky. Hos high is carl when the angle lf depression from carl to the top of his house is 42°
Answer:
The answer is below
Step-by-step explanation:
θ = 90° - 42° = 48°
The angle formed is a right angled triangle, therefore trigonometric identities can be used to find the length of the triangle sides.
tan(θ) = opposite / adjacent
tan(48) = 80 / h
h = 80 / tan(48)
h = 72.03 ft
h is the vertical distance from carl to the top of his house, to get his total height to the ground (H), we use:
H = h + height of house
H = 72.03 + 20
H = 92.03 ft
Therefore Carl is 92.03 ft high
factor the trinomial below
x^2+15x+56
a. (x+4)(x+14)
b. (x-7)(x-8)
c. (x+7)(x+8)
d. (x-4)(x-14)
1 Find the x-intercept as a point (x,y).
I'm not quite sure what to do can someome please help me quick. I'll make brainliest
Answer:
x,0
Step-by-step explanation:
x-intercept just means where the line crosses the x axis. the x-intercept is x,0
Answer:
X intercept is ( -1 , 2)
Step-by-step explanation:
Find the gradients of line a and b
════════ ∘◦❁◦∘ ════════
Answer• Line A = 4
• Line B = (-2)
═══════════════════════
Formula of the gradient[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
══════════════════════════
Known that•Line A
x1 = 0
y1 = -6
x2 =5
y2 = 14
• Line B
x1 = 7
y1 = -6
x2 = -3
y2 = 14
══════════════════════════
Way to find gradient•Line A
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{14 - ( - 6)}{5 - 0} = \frac{20}{5} = 4[/tex]
•Line B
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{14 - ( - 6)}{( - 3) - 7} = \frac{20}{ - 10} = ( - 2)[/tex]
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For moderators that see this#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long and take a lot of my time, how can you just instanly delete this? :(
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In rectangle LONG, LN = 40 and ON=24. Find LO.
Answer: LN 40
Step-by-step explanation: Because thin of the answers and how to do it
Answer: LN 40
Step-by-step explanation: