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]
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).
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 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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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 ;)
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:
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
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°
Look at the image and determine a answer please.
Answer:
Dividing
Step-by-step explanation:
z = -72
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 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
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.
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.
Ig1000+log342 - 1 -123
Answer:
log(342) - 121
Step-by-step explanation:
-121 + log(342) is a transcendental number
-115.165189262937394847783249972808918485...
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^)>
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....
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:
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:)
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:
The perimeter of this rectangle si __________ units
The answer for this question is 14
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! :)
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.
May I please receive help?
Can you please put a more bigger picture?
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
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
Find the slope of each line.
Answer:
Slope: - 5/2
Step-by-step explanation:
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
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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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
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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Find the measure of each angle indicated 12,13,14
Answer:
Step-by-step explanation:
12. 15 (3x5x1)
13. 8 (4x2x1)
14. 18 (6x3x1)