Answer:
The equation would be y - 1 = 1/3(x + 2)
Step-by-step explanation:
In order to find this, we simply plug the values we have into point slope form.
y - y1 = m(x - x1)
y - 1 = 1/3(x - -2)
y - 1 = 1/3(x + 2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Slope = m = 1/3
(-2 , 1)
[tex]y - y_{1}= m(x - x_{1})\\y - 1 = \dfrac{1}{3}(x -[-2] )\\\\y - 1 = \dfrac{1}{3}(x + 2)\\\\y - 1 =\dfrac{1}{3}x + \dfrac{1}{3}*2\\\\y=\dfrac{1}{3}x+\dfrac{2}{3}+1\\\\y=\dfrac{1}{3}x +\dfrac{2}{3}+\dfrac{3}{3}\\\\y=\dfrac{1}{3}x +\dfrac{5}{3}[/tex]
subtract (3x^3-2x+5)-(-4x^3+3x-6)
Answer:
7x^3-5x+11
Step-by-step explanation:
(3x^3-2x+5)-(-4x^3+3x-6)
Distribute
3x^3-2x+5+4x^3-3x+6
Simplify
7x^3-5x+11
May I please receive help?
Answer:
J= 16.857°
K= 88 .4°
L=74.7°
Step-by-step explanation:
let x represent the angle of J
x° +(4x+21)° +(2x+41)° =180°
x + 4x + 21 + 2x + 41= 180° ( sum of angles in a triangle)
Collect like terms
x + 4x + 2x = 180 - 21 - 41
7x = 180
x =180/7
x=16.857
Therefore,
J = 16.857°
K=4x+21
=4(16.857)+21
= 67.4+21
=88.4°
L=2x +41
=2(16.857)+41
=33.7+41
= 74.7°
Sum of angles in the triangle =
16.857+88.4+74.7=179.9 approximately 180°
Hope this helps....
The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below. What is the 50th term of this sequence?
Answer:
345 is the answer
Step-by-step explanation:
use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!
The 50th term of this arithmetic sequence will be 9655.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below.
The first term is 2 and the common difference depending on 'n' will be given as 4n - 3.
Then the 50th term of this arithmetic sequence will be
aₙ = a₁ + (n - 1)d
aₙ = a₁ + (n - 1)(4n - 3)
a₅₀ = 2 + (50 - 1) × (4 × 50 - 3)
a₅₀ = 2 + 49 × 197
a₅₀ = 2 + 9653
a₅₀ = 9655
The 50th term of this arithmetic sequence will be 9655.
More about the arithmetic sequence link is given below.
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A car dealership increased the price of a certain car by 11%. The original price was $45,400.
Answer:
$49,527.27273 or $49,527
Step-by-step explanation:
45,000/11
$4,127.272727 or $4,127
$45,400 + $4,127
$49,527
Find the slope of each line.
Answer:
Slope: - 5/2
Step-by-step explanation:
PLEASE HELP IM BEGGGINGGG
Answer:
the answer is (a) a//b
Step-by-step explanation:
perpendicular means that two lines that do not cross over each other.
a shop only buys bananas with length between 13cm and 20cm. Estimate the fraction of the 80 bananas that the shop buys
Answer:
[tex]\frac{44}{80}[/tex]
Step-by-step explanation:
We know that the shop only buys Banana with lengths between 13 cm and 20 cm.
So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.
Notice that 13 below to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).
[tex]\frac{62-20}{80} =\frac{42}{80}[/tex]
Therefore the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.
Answer:
44/80
Step-by-step explanation:
Solve. Show work
Y = -1/2 (-2) + 2
Answer:
[tex]→y = \frac{ - 1}{2} ( - 2) + 2[/tex]
[tex]→y = 1 + 2[/tex]
[tex]→y = 3[/tex]
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
First distribute:
[tex]y=-\frac{1}{2} (-2)+2[/tex]
[tex]y=1+2[/tex]
Add:
[tex]y=3[/tex]
Hope this helps! :)
I am a 4 digit number.My hundred's digit is 4 less than my thousands digit.My unit's digit is 7 less than my ten's digit.My ten's digit is 3 more than my hundred's digit.My thousand's digit is the largest single digit number.what number am i?
Answer:
9581
Step-by-step explanation:
A 230 inch pipe is cut into two pieces. One piece is 4 times length of the other. find the length of the shorter piece
Answer: 46 x 4 = 184
184 + 46 is 230
Step-by-step explanation:
A walking path across a park is represented by the equation y=-2x-7. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-2,-3). Identify the equation that represents the new path.
A. y = 1/2 x - 2
B. y = 2x +1
C. y = -2x-7
D. y = -1/2 x- 4
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = 12² + 10²
x² = 144 + 100
x² = 244
x = 2[tex]\bold{\sqrt{61}}[/tex]cm✔
the sum of a number and 11
Hello!
The sum of a number and 11:
Let's say that the number is x. So the expression "the sum of a number and x" looks like this:
x+11
Hope this helps you!
~Just an emotional teen who listens to her favourite songs
[tex]SilentNature[/tex]
Hey there!
Guide:
• The word “sum” means “add” or “addition”
• The word “difference” means “subtract” or “subtraction”
• The word “product” means “multiply” or “multiplication”
• The word “quotient” means “divide” or “division”
NOW THAT WE HAVE ALL OF THAT INFORMATION, WE CAN SOLVE FOR YOUR EQUATION
“The SUM of a number and 11”
Well since the “number” is unknown we can label it as “a” so we can know what we’re ADDing to 11…
So, your equation should be: a + 11
Answer: a + 11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find m Give explanation please
Answer:
m < FGN = 88°
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles (also known as remote interior angles).
Given the exterior angle, m <FGN = (7x + 18)°, and the two remote interior angles, m < E = 38° and m < F = (6x - 10)°:
The following equality statement can be established according to the exterior angle theorem:
m < E + m < F = m <FGN
38 + 6x - 10 = 7x + 18
Combine like terms:
28 + 6x = 7x + 18
Subtract 6x from both sides:
28 + 6x - 6x = 7x - 6x + 18
28 = x + 18
Subtract 18 from both sides:
28 - 18 = x + 18 - 18
10 = x
Next, substitute the value of x = 10 into the equality statement to determine whether it is the correct value of x, and to find the measures of < FGE and < F.
m < E + m < F = m <FGN
38° + (6x - 10)° = (7x + 18)°
38 + 6(10) - 10 = 7(10) + 18
38 + 60 - 10 = 70 + 18
88 = 88 (True statement).
Therefore, m < FGN = 88°
You have $75 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=75+(25+8)w gives the amount b in your account after w weeks. How many weeks from now will you have $270 in your bank account?
Answer:
Step-by-step explanation:
Combine the two sources of income (25 + 8) = 33
b = 75+ (33)w
Let b = 270
Solve for w
270 = 75 + 33*w Subtract 75 from both sides
270 - 75 = 33w
195 = 33w Divide by 33
195/33 = w
w = 5.91 weeks
The question is what do you do now?
The answer should be that you round to the next week which means that it will take you 6 weeks to get just over 270 dollars.
Look at the image and determine a answer please.
Answer:
Dividing
Step-by-step explanation:
z = -72
classify each pair of angles as alternate interior alternate exterior or corresponding
Answer:
1. corresponding
2. alternate interior
3. supplementary
4. interior
Step-by-step explanation:
1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.
2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.
3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.
4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.
Hope this helps you out!! Have an awesome day ;)
Ig1000+log342 - 1 -123
Answer:
log(342) - 121
Step-by-step explanation:
-121 + log(342) is a transcendental number
-115.165189262937394847783249972808918485...
A swimming pool is being constructed so that it is the upper part of aninverted square-based pyramid.a. Calculate H.b. Calculate the volume of the pool.c. How many 6 m3bins will be required to take the dirt away?d. How many litres of water are required to fill this pool?e. How deep is the pool when it is half-filled?
Answer:
2
Step-by-step explanation:
6 sides by 6 adding 4x4=12
The perimeter of a rectangle is 84 cm. If the length is 17 cm, how wide is the rectangle?
A) First write an equation you can use to answer this question. Use w as your variable in the equation
B) Solve your equation in part [A] to find the width of the rectangle.
Answer: The rectangle is
cm wide.
PLS HELP I NEED THIS ASAP
Answer:
width = 25cm
Step-by-step explanation:
perimeter = 84
length =17
A) 84 = 17(2) + 2w
B) 84 = 34 + 2w
-34 -34
50=2w
/2 /2
25=w
The length of a rectangular fence is 1 foot longer the width. The area is 132 feet^2. How long is the length of the fence?
xx+1=132=131=xx=x=131/x
Point M(-6,8) is dilated from the origin with a scale factor of 1/2. What is the coordinate of M'? *
Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is M'(-3, 4)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
Given Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is at:
M'(-3, 4)
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hello can anyone help with this?
The distance between Heysham and the Isle of Man is 80 km.
A hovercraft travels at 50 km per hour.
How long does the journey take?
Answer:
1 hour 36 minutes
Step-by-step explanation:
Amount of time the journey takes = 80km ÷ 50km/h
= 1.6h
= 1h 36mins
3. Due to leakage, 30% of the water was lost from a water tank. If
only 340 liters of water is left in the tank now, find the total
capacity of the water tank?
HELPP
Answer:
1133.3 liters of water after leakage.
Step-by-step explanation:
x*.30=340
x=340/.30
x=1133.33
The total capacity of the water tank is 1133.33 liters of water after leakage.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have given Due to leakage, 30% of the water was lost from a water tank. If only 340 liters of water is left in the tank now, then we need to find the total capacity of the water tank.
x*.30 = 340
x = 340/.30
x = 1133.33
Hence, the total capacity of the water tank is 1133.33
Learn more about the unitary method;
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Please help! See algebra question..
Answer:
n=-10
Step-by-step explanation:
n+3=-7
n=-7-3
n=-10
this helps thank you
branlist please
Answer:
n = -10
Step-by-step explanation:
solving a one step equation with a missing variable
step 1: subtract 3 from both sides of the equation then simplify
ex: n + 3 - 3 = -7 - 3 (n = -10)
step 2: take your answer of n which is -10 and add plug it in into your original equation n + 3 = -7 and solve to check your answer
ex: n + 3 = -7 (-10 + 3 = -7)
add
-10 + 3 = -7
-7 = -7 (if both sides of the equation are the same numbers like -7 = -7 then your answer is true making n = -10 your answer) i would love to get brain if this is correct and helps <(^w^)>
The perimeter of this rectangle si __________ units
The answer for this question is 14
Find the measure of each angle indicated 12,13,14
Answer:
Step-by-step explanation:
12. 15 (3x5x1)
13. 8 (4x2x1)
14. 18 (6x3x1)
May I please receive help?
Can you please put a more bigger picture?
Find an equation in point-slope form for the line having the slope m= - 4 and containing the point (4,5).
The equation in point-slope form is
(Use integers or fractions for any numbers in the equation.)
Step-by-step explanation:
The point-slope form of a line is (y - y₁) = m(x - x₁)
Since we know the slope (m) is -4
And the point ( x₁, y₁ ) is (4, 5)
Then we can just plug these into the equation above:
⇒ y - 5 = - 4 (x - 4)
I often use Desmos to check my answer. As seen below, the equation does pass through the point (4, 5).
Lesson. Derative of trigonometric functions
Answer:
Step-by-step explanation:
What are the Derivatives of the 6 Trig Functions?
Derivation of sin x: (sin x)' = cos x.
Derivative of cos x: (cos x)' = -sin x.
Derivative of tan x: (tan x)' = sec2 x.
Derivative of cot x: (cot x)' = -cosec2 x.
Derivative of sec x: (sec x)' = sec x. tan x.
Derivative of cosec x: (cosec x)' = -cosec x. cot x.