Find the coordinates of point P on →AB that partitions the segment into the given ratio AP to PB .
a. A(0,0), B(0,6), 2 to 1
The point P which partitions the line segment AB have coordinates as P(0,3)
Line Segment is a line which joins together two points to form a straight line. It can be extended in either side.
It is given that,
A line segment AB having coordinates such as A(0,0) and B(0,6) respectively
The line segment AB is partitioned by a given point P in two minor line segments AP and PB
We need to find, the coordinates of the partitioning point i.e. P
The given formula will be used,
The coordinates of the point P = ([tex]\frac{x1+x2}{2}[/tex], [tex]\frac{y1 + y2}{2}[/tex])
Now, x1 = 0, x2 = 0, y1 = 0, y2 = 6
Putting values in the formula, we get
([tex]\frac{0+0}{2}[/tex], [tex]\frac{0+6}{2}[/tex])
(0,3)
Hence, the point P which partitions the line segment AB have coordinates as P(0,3)
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The formula used to convert degrees Celsius to degrees Fahrenheit is F=95C+32F= 59 C+32.Convert 68°F to degrees Celsius. Solve the formula for C, and then use it to convert the temperature.Which is the correct formula and conversion
Answer:
Step-by-step explanation:
F = 9/5 C + 32 is the correct formula.
9/5 C = F - 32
C = 5/9(F - 32)
So, 68 degrees Fahrenheit
= 5/9(68 - 32)
= 5/9 * 36
= 20 degrees C.
Help pleaseeeeeeeeee
Answer: 4.7 gallons
Step-by-step explanation:
The range is the difference in the highest number and the smallest number, so 2.8 - -1.9 = 4.7
Complete the square. x² -5 x+ ____
The full quadratic expression is expressed as follows:
x² - 5x + 6.25
What are equations?An equation is the equality that has mathematical expressions on both sides of it, they can be functions, polynomials or others, there are no limits for them.
Equations can be graphed, just like a function.
To solve this problem we must complete square in the expression, it is necessary to note that perfect square trinomial has the form of:
(a - b)² = a² - 2ab + b²
x² - 5x + ?
x² = a²5x = 2abb = ?5x = 2xb
2b =5
b = 5/2
Let's complete the square
x² - 5x + (5/2)²
x² - 5x + 25/4
x² - 5x + 6.25
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I need help with both question pls
Answer:
0.03x+0.05=1.50
Hopely this can help you
Step-by-step explanation:
Find the slope of the line.
a. the line containing (6,-2) and (-3,-5)
The slope of the line containing (6,-2) and (-3,-5) is (3/8).
The slope of a straight line can be written as follows,
m = [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex] equation1
The line is containing the points (-3,3) and (4,3). So, we can write
[tex]y_{2}[/tex] = -5 , [tex]y_{1}[/tex] = -2 , [tex]x_{2}[/tex] = -3 , and [tex]x_{1}[/tex] = 6 .
On substituting the values of variables in equation1, we will get
m = ( (-5)-(-2) ) / ( (-3)-(6) ) = (-3/(-8)) = (3/8).
As the slope of a line is (3/8), so we can conclude that the given line is a straight line.
Here:
m = the slope of the line
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.
The slope of the line containing (6,-2) and (-3,-5) is (3/8).
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Wendy rode her bicycle 87 meters in 12 seconds. What is her speed?
a
0.14m/s
b
0.8 m/s
c
7.3 m/s
d
9.5 m/s
Answer:
c) 7.3 m/s
Step-by-step explanation:
We know that 87 is the total and 12 is the time do you take the total divided by the time so 87/12=7.25. 7.25 rounded is 7.3.
A stop sign in the shape of a regular octagon is inscribed in a circle. Find following measure.
m NQ
An octagon is known to be a type of polygon that is said to have up to 8 sides the octagon is an 8-sided polygon, also called 8-gon, in a two-dimensional plane then the measure of arc NPQ is 180°.
What is the inscribed of a circle?An inscribed angle of a circle is an angle whose vertex is a point A on the circle and whose sides are line segments (called chords) from A to two other points on the circle.
An octagon is known to be a type of polygon that is said to have up to 8 sides the octagon is an 8-sided polygon, also called 8-gon, in a two-dimensional plane. A regular octagon will have all its sides equal in length.
The surface area of a regular octagon encircled by a circle of radius one unit. Divide the octagon into eight congruent triangles. We can find the area of one triangle and multiply it by 8 to get the area of the entire octagon.
The complete question is:
A stop sign in the shape of a regular octagon is inscribed in a circle.
What is the measure of arc NPQ?
A. 45°
B. 90°
C. 135°
D. 180°
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Simplify each expression.
-35 / (-5)
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
The simplified expression of -35 / (-5) is 7.
What is an expression?A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.In order to help establish the order of operations and other elements of logical syntax, mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.An expression can be used in algebra to represent a value, and that value may rely on the values given to the variables that appear in the expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
Let the given expression be -35 / (-5) then
-35 / (-5) = -35/-5
simplifying the above equation, we get
= 35/5
= 7
Therefore, the value of -35 / (-5) is 7.
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What is the sum of the solutions of |3|y-4| = 9 and |y-4|=3 ?
The sum of the solutions are 32/3.
The modulo (or "modulus" or "mod") is the remainder after dividing one number by another.
Example: 100 mod 9 equals 1
Because 100/9 = 11 with a remainder of 1
Another example: 14 mod 12 equals 2
Because 14/12 = 1 with a remainder of 2
12-hour time uses modulo 12 (14 o'clock becomes 2 o'clock)
It is where we end up, not how many times around.
|3y-4|=9
3y-4=9 or 3y-4=-9
3y=13 or 3y=-5
y=13/3 or y-5/3
|y-4|=3
y-4=3 or y-4=-3
y=7 or y=1
The solutions are y=13/3, y=-5/3, y=7, y=1
Hence the sum of the solutions are 32/3.
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A. Solves each equation by extracting square root.
1.) x² = 16
2.) x² = 49
3.) x² = 128
4.) x² = 108
5.) x² = 121
6.) x²-169 = 0
7.) x²-80=0
8.) x²-63=0
9.) 5x2 – 125 = 0
10.) 3x²-132-0
1,2,5 square root both sides
47simplify into 8 root 2simplify into 6 root 311add 169 to both sides and square root to get 13add 80 to both sides and simplify into 4 root 5add 63 to both sides and simplify into 3 root 7add 125 to both sides, divide both sides by 5, x^2=25, square root, x=5add 132 to both sides, divide by 3, x^2=44, square root simplified is 2 root 11ABC and D are four towns
B is 25km due east of A
C is 25km due north of A
D is 45km due south of A
work out the bearing of B from C
Answer:
213.7°
Step-by-step explanation:
The bearing of B from D is angle ADB, which is ∠ADB = arctan(30/45)
≈ 33.7°
The bearing of D from B is that angle plus 180°, so is 180° +33.7° = 213.7°
Answer:
225°
Step-by-step explanation:
In mathematics, a bearing is defined as an angle measured clockwise from north.
See attached graph for a clearer guide to the explanations
Angle ABC is a right isosceles triangle with AB = 25 and AC = 25
m∠BAC =90°
So m∠ABC = m∠ACB = 45°
The angle at BC is 45° from the North (90°-45°) measured clockwise is 45° so we say the bearing from C to B is 045° (we use 3 digits for bearing)
The bearing from B to C on the other hand is determined by adding 180° to the bearing in the opposite direction (C to B) so the bearing from C to B is 180° +045° = 225°
(Here I am not sure whether you are supposed to answer the question in mathematical meaning of bearing or just state the direction in which BC lies relative to north. 45° clockwise from the North is in a NE direction so we can say C is NE from B but I am guessing that's not it)
"A trip to the Science Lab"
A street goes by the name, y=x+17. What is a parallel street to that one? (Write answer in slope-intercept form).
The street can be represented in slope intercept form as follows:
y = x + 4
How to find a street that is parallel?Linear equation can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptParallel lines have the same slope.
The street goes by the name y = x + 17.
The slope of the street is 1.
Therefore, the street parallel to that one should have the same slope.
The street can be represented in slope intercept form is as follows:
y = x + 4
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For each equation, find the center and radius of the circle.
(x-3)²+(y+1)²=36
The equation of the circle (x - 3)^2 + (y + 1)^2 = 36 has a radius of 6 and a center located at (3 , -1).
The standard form of the equation of circle is given by
(x - h)^2 + (y - k)^2 = r^2
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x^2 + y^2 + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.
If the equation of the circle, (x - 3)^2 + (y + 1)^2 = 36, is in standard form, then
h = 3
k = -1
r = 6
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What number is represented by
(a) 6 tens 7 ones
The number is represented by 6 tens 7 ones 67 .
2-digit ranges square measure the amounts that have 2 digits and that they begin from the amount ten and end wise the number ninety nine.They can't begin from zero as a result of therein case it'll be thought of as a single-digit range. The digit on the tens place will be any range from one to nine.Let the unit's place digit be " x " and ten's place digit be " y ".
Two digit number is given by = 10 y + x .....(1)
It is given that 6 tens 7 ones.
Putting x = 6 and y = 7 in equation (1) , we get
10(6) + 7 = 60 + 7
= 67
Hence , the number is 67 .
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what does x equal
4x+5x+=6+11
4x+5x+=6+11
9x=17
x=17/9
☞ user58580~ ♥
Answer:
x= 17/9
Step-by-step explanation:
4x+5x=6+11
Combine like terms
9x=17
x=17/9
You can find the equation of a line through two points even if one point is not the y -intercept. Find the slope m of the line passing through the two points.Using either point, substitute for x, y , and m into y=m x+b . Solve for b and rewrite y=m x+b for the values of m and b . Write an equation in slope-intercept form for the line passing through each pair of points.
a. (2,5) and (6,7)
5 = (1/2)2 + 4 is an equation in intercept form for the line passing through the points (2,5) and (6,7)
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope.
We have been asked to write an equation in slope-intercept form for the line passing through (2,5) and (6,7)
First we will find the slope(m)
We know that slope = m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
For the pairs of points (2,5) and (6,7)
⇒ m = [tex]\frac{7- 5}{6 - 2}[/tex]
⇒ m = [tex]\frac{2}{4 }[/tex]
⇒ m = 1/2
We know that the equation for slope(m) and y - intercept(b) of a line is given by :
y = mx + b
Here lets take equation 5 = (1/2)2 + b .Here x and y is substituted with the first two points.
⇒ 5 = (1/2)2 + b
⇒ 5 = 1 + b
⇒ b = 5 - 1
⇒ b = 4
The equation in the slope intercept is as follows:-
5 = (1/2)2 + 4
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How would you find the area of this parallelogram? Describe your strategy.
The horizontal sides that are each 7 units long with angled sides that
rise 6 vertical units over 2 horizontal units.
The area of the parallelogram is 42 units².
What is the Area of a Parallelogram?The area of a parallelogram can be calculated by finding the product of its base with the altitude. The base and altitude of a parallelogram are always perpendicular to each other.
i.e., The area of a parallelogram = base × height.
To find the perimeter of a parallelogram, add the lengths of the sides. Opposite sides of a parallelogram are equivalent.
Given:
base= 7 units
height = 6 units.
Now, area of a parallelogram,
= 7 × 6
= 42 units²
Hence, area of the parallelogram is 42 units².
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How many solutions does each of the following equations have?
10+5(x+2)=5x-20
Answer:
this equation has no solution
Step-by-step explanation:
How many solutions does each of the following equations have?
10+5(x+2)=5x-20
10+5x+10=5x-20
10 + 10 = -20
20 = -20
this equation has no solution
Answer:
Step-by-step explanation:
10+5(x+2)=5x-20
10+5x+10=5x-20
5x-5x=-20-10-10
x = -40
(02.02 LC)
If f(x) is the total cost, in dollars, of x brownies, which of the following statements best describes the meaning of f(4) = 10?
a
The total cost of 2 brownies is $4.
b
The total cost of 4 brownies is $2.
c
The total cost of 4 brownies is $10.
d
The total cost of 10 brownies is $4.
The total cost of 10 brownies is $4 is the statement that best describes the meaning of f(4) = 10, if f(x) is the total cost, in dollars, of x brownies.
What is a function?In mathematics, a function is an expression, rule, or law that specifies a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are widespread in mathematics and are required for the formulation of physical relationships in the sciences. The present concept of function was initially proposed in 1837 by the German mathematician Peter Dirichlet.
If a variable y is so closely tied to a variable x that whenever a numerical value is assigned to x, there is a rule that determines a unique value of y, then y is said to be a function of the independent variable x.
As we can see it is mentioned that f(x) = total cost = f(4)
So only option d. has 4 as total cost, that why d is the right option and statement as follows The total cost of 10 brownies is $4.
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Suppose you turn the water on in an empty bathtub with vertical sides. After 20 s , the water has reached a level of 1.15 in. You then leave the room. You want to turn the water off when the level in the bathtub is 8.5 in. How many minutes later should you return? (Hint: Begin by identifying two terms of an arithmetic sequence.)
I should return after 7.7 minutes later to bathtub.
What is bathtub?You want to turn the water off when the level in the bathtub is 8.5
66/8.5
7.7 minutes
A bathtub is a long, typically rectangular container that you sit in to bathe your body after filling it with water.
Let's start with the truth: Showers are cleaner than baths. Showers spray polluted water out of sight while distributing water evenly over your body.
Actually, there is nothing that sets one apart from the other. All of them include jets, bubbles, and frequently different colored lights and other decorations. They are all sizable hot water containers. Overall, the terms "whirlpool bath," "Jacuzzi," and "hot tub" all refer to the same thing.
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Order from least to greatest
-1.2, 2.7, -3.1, -0.3
Don’t you order it with the highest negative to the lowest negative then the last should be the positive?
In a rectangle, the width is 1 feet shorter than the length. The area of the rectangle is 30 square feet. Find the length of the rectangle.
(ANSWER ASAP EXTRA POINTS)
For any correlation, people often assume that change in one quantity causes change in the second quantity. This is not always true. For each situation, do you think that change in the first quantity causes change in the second quantity? What else may have affected the change in the second quantity?
the size of a car's engine and the number of passengers it is designed for
For the given situation, we can clearly say that the change in one quantity will cause a change in the second quantity as well.
With an increase in the size of the car engine the power the engine will ultimately increase as well. This increased power can easily accommodate more people. So we can make relation from this deduction,
Engine size ∝ Number of People
This clearly states that by increasing one quantity we will increase the other quantity as well.
Similarly, now that they have a direct relation if we decrease the size of the engine, its power will decrease as well and hence the number of people will decrease.
A strong positive correlation we can call it.
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Alice is going to make a cake for her mother's birthday. It will take 24 minutes to make the cake batter, and the cake needs to bake in the oven for 1 hour and 2 minutes. If Alice wants the cake to be out of the oven by 9:59 A.M., what is the latest time she can start making the cake batter?
The latest time Alice can start making the cake batter is 8:33 A.M
How to calculate the latest time ?Alice is making cake for her mother's birthday
It will take 24 minutes to make the cake batter
The cake also needs to be in the oven for 1 hour 2 minutes
The time needed to make the cake is
1 hour 2 minutes + 24 minutes
= 1 hour 26 minutes
The latest time to start making the cake batter is
9:59 - 1:26
= 8:33
Hence the latest time to start making the cake batter is 8:33 A.M
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the amount Evelyn makes a week she gives x haircuts a $25 each and y perms at $90 each
the expression representing the total amount earned by Evelyn is $ 25 x + $ 90 y .
We are given that
Evelyn makes x haircuts for $ 25 and y perms for $ 90.
We need to write an expression representing the situation
We will use multiplication for the same.
So, Amount earned from the haircuts = x × $ 25 = $ 25 x
Amount earned from perms = y × $ 90 = $ 90 y
Total amount earned = $ 25 x + $ 90 y
Therefore, we get that, the expression representing the total amount earned by Evelyn is $ 25 x + $ 90 y .
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Solve plsssssssssss I’m kinda desperate rn
here is it friend...hope it is clear enough
Answer:
5/6x + 5/12 + 20/6
Simplfied
5/6x + 3 3/4
Step-by-step explanation:
5/6 ( x+ 1/2 + 4)
Distribute
Multiply the term outside the parentheses to each term inside the parentheses
5/6 ( x) + 5/6 *(1/2) +5/6 *( 4)
5/6x + 5/12 + 20/6
We need to get a common denominator for the constant terms
5/6x + 5/12 + 20/6
5/6x + 5/12 + 40/12
Add
5/6x + 45/12
45/12 is an improper fraction so we can make it a mixed number
12 goes into 45 3 times with 9 left over
3 9/12 which simplified to
3 3 /4
The simplified expression is
5/6x + 3 3/4
Given the m∠5=82° use the image below to find the measures of the other angles.
The value of the other angles
∠1 = 180 - 82°
∠2 = ∠1 = 98°
∠3 = ∠ = 98°
∠4 = ∠5 = 82°
According to the given data,
m∠5=82° given
∠5 = ∠7 = ∠4 = ∠8 = ∠6 = ∠12
∠1 = ∠10 = ∠2 = ∠11 = ∠3 = ∠ 12 = 180° - ∠5
we get, measures of other angles
∠1 = 180 - 82°
∠2 = ∠1 = 98°
∠3 = ∠ = 98 °
∠4 = ∠5 = 82°
A transversal is a line that intersects two coplanar lines at two different points. In the figure,
line t is a transversal. The table summarizes the names of angle pairs formed by a transversal.
Corresponding angles lie on the same side of the transversal and on the same
sides of the intersected lines. ∠1 and ∠5
Same-side interior angles lie on the same side of the transversal and between
the intersected lines. ∠3 and ∠6
Alternate interior angles are nonadjacent angles that lie on opposite sides of
the transversal between the intersected lines. ∠3 and ∠5
Alternate exterior angles lie on opposite sides of the transversal and outside
the intersected lines. ∠1 and ∠7
Same-Side Interior Angles Postulate
If two parallel lines are cut by a transversal, then the pairs of same-side interior angles are supplementary
Alternate Interior Angles Theorem
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles have the same measure.
Corresponding Angles Theorem
If two parallel lines are cut by a transversal, then the pairs of corresponding angles have the same measure.
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NEED THIS NOW DONE CORRECTLY
The figure shows three quadrilaterals on a coordinate grid:
B and C are similar and also congruent.
A and B are similar but not congruent.
A and B are similar and also congruent.
A and C are similar but not congruent.
Step-by-step explanation:
A and B are similar but not congruent
similar=same shape
congruent=same shape and same size
Use this activity to explain how the AA criterion for triangle similarity follows from the definition of similarity in terms of dilations. (Hint: Use parallel lines)
The AA criterion for triangle similarity states that if two triangles have two pairs of congruent angles, then the triangles are similar.
What is a triangle similarity criterion?
According to the Angle-Angle (AA) criterion, two triangles are considered comparable if "two angles of one triangle are respectively equivalent to two angles of another triangle."
What distinguishes AA similarity from AAA similarity?
The total number of angles in a triangle is 180. Therefore, the third angle of a triangle will automatically become equal if two of its angles are equal. Triangles are related because of the AA resemblance. Three angles should equal the other triangle in AAA.Learn more about Angle-Angle-Side (AAS)
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