[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-2)}{6-0}\implies \cfrac{0+2}{6}\implies \cfrac{2}{6}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=\cfrac{1}{3}(x-0) \\\\\\ y+2=\cfrac{1}{3}x\implies y=\cfrac{1}{3}x-2[/tex]
Complete the missing parts of the paragraph proof.
Answers:
1) Given
2) angle 2 ** see note below
3) angle 3 ** see note below
4) converse of alternate exterior angle theorem
note: you can swap the answers for 2 and 3 and it doesn't matter
========================================================
Explanations:
1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.
2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)
4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).
A well-structured paragraph should have unity under a single thesis, clear topics, and relevant evidence. The analysis of the evidence reinforces the main point.
Explanation:A well-structured paragraph should have unity under a single thesis, clear topics supported by relevant evidence, and appropriate transitions. The supporting evidence can include facts, statistics, expert opinions, and examples. The analysis of the evidence should explain its significance and reinforce the main point of the paragraph.
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1. Identify the pair of fractions equivalent to 25/45 *
5/9, 75/135
5/9, 20/40
50/90, 75/120
5/8, 75/135
2. Write 30/7 as a mixed number in simplest form. *
4 and 2/7
4 and 7/2
1 and 4/7
1 and 5/7
3. Write 27/36 in simplest form. *
3/4
2/3
3/5
1/5
Answer:
Hope this helps! Brainliest please
Step-by-step explanation:
1. Divide both by 5, so the correct answer would be 5/9, and then multiply both by 3, so the correct answer would be 75/135. The answer is 5/9,75/135
2. 4 and 2/7 because 7 *4=28. That leaves 2 sevenths over.
3. Divide both by 9. Your answer is 3/4
Help me with 1-8 please!
find the value of x. please explain your answer:)
Answer:
x=16
Step-by-step explanation:
we know that 3x+2=50 according to complemntary angles.
3x=48
x=16
evaluate the following expression 3(7 -5) + 8(9 +2)
Answer:
The answer to your expression is 94.
Step-by-step explanation:
Given Expression -> 3 ( 7 - 5 ) + 8 ( 9 + 2 )
Order of Operations Parenthesis -> 3 ( 2 ) + 8 ( 11 )
Multiplcation Left to Right -> 6 + 8 ( 11 )
Multiplcation Left to Right -> 6 + 88
Addition -> 94
Final answer:
To evaluate the expression 3(7 - 5) + 8(9 + 2), we first solve the expressions within parentheses, then multiply, and finally add the results to get the answer, which is 94.
Explanation:
To evaluate the expression 3(7 - 5) + 8(9 + 2), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Then we add the results of the multiplications: 6 + 88.
So, the expression 3(7 - 5) + 8(9 + 2) evaluates to 94.
Let f(x)=3x+5 and g(x) =x^2 find g(x)/f(x) and state its domain
[tex]\text{Let}\ f(x)=3x+5\ \text{and}\ g(x)=x^2\\\\\dfrac{f(x)}{g(x)}=\dfrac{3x+5}{x^2}\\\\\text{The domain:}\\\\x^2\neq0\to x\neq0\\\\Answer:\ \boxed{x\in\mathbb{R}-\{0\}}\to\boxed{x\in(-\infty,\ 0)\ \cup\ (0,\ \infty)}\\\\\text{All real numbers except 0.}[/tex]
It costs Edgar $2.65 one way to ride the bus to work. He uses the bus to go to and from work fourdays per week. He buys a bottle of water that costs $1.45 on his way to work each day. How muchdoes it cost Edgar to ride the bus and buy water for one week?
Answer:
Ambitious
In this case, you have to multiply the price of the one way journey ($2.65) by 8 (as this is the number of individual journeys made in one week. It's gives you $21.20. As he has 1 bottle of water at $1.45 each day for four days, you have to multiply these together, giving you $5.80 You then have to add together $21.20 and $5.80, giving you $27. Therefore, it costs Edgar $27 a week
Step-by-step explanation:
Answer:
$27.00
Step-by-step explanation:
To ride the bus to and from work costs
2* 2.65 = 5.30 for 1 day
He rides the bus 4 days a week
4 * 5.30 = 21.20 for 4 days
He buys a bottle of water on the way to work 4 days a week
4 * 1.45 = 5.80 for 4 days
Cost to ride the bus = bus fare for 4 days + water for 4 days
= 21.20 + 5.80
= 27.00
4 (2*2.65+ 1.45) = 27
The formula for the sum of the degree measures of the interior angles of a polygon is S= 180(n-2). Solve for n, the number of sides of the polygon, in terms of S
Answer:
n = S/180 + 2
Step-by-step explanation:
S = 180(n - 2)
First, divide both sides by 180.
S/180 = n - 2
Now add 2 to both sides.
S/180 + 2 = n
n = S/180 + 2
Answer:
n = (S/180) + 2
Step-by-step explanation:
You are solving for n, and so isolate the variable. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS:
PEMDAS =
Parenthesis
Exponent ( & roots)
Multiplication
Division
Addition
Subtraction
---------------------------------------------------------------------------------------------------------
First, divide 180 from both sides
(S)/180 = (180(n - 2))/180
S/180 = n - 2
Next, to isolate the variable (n) completely, add 2 to both sides
(S/180) (+2) = n - 2 (+2)
(S/180) + 2 = n
n = (S/180) + 2 is your answer
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A girl's feet are negative 4/5 yards from the surface of a pool. A boy's feet are negative 2/5 yards from the surface of the pool. Determine whose feet are closer to the surface.
The girl's feet are closer to the surface of the pool because negative 4/5 > negative 2/5.
The boy's feet are closer to the surface of the pool because negative 4 over 5 > negative 2 over 5.
The girl's feet are closer to the surface of the pool because negative 4 over 5 < negative 2 over 5.
The boy's feet are closer to the surface of the pool because negative 4 over 5 < negative 2 over 5.
Answer:
The boy's feet are closer to the surface of the pool because negative 4 over 5 < negative 2 over 5.
Answer:
Its B
Step-by-step explanation:
the other guys is wrong i got it wrong so its b
I did the test trust me he's wrong
A circle with area 9π has a sector with a central angle of 1/9 π radians . What is the area of the sector?
PLEASE ANSWER WORTH 50 POINTS!!
Answer:
A = pi/2
Step-by-step explanation:
Area of a sector is given by
A = 1/2 r^2 theta when theta is given in radians
We know the area of the circle (pi * r^2) so we multiply by pi/pi
A = 1/2 pi/pi r^2 theta
A = 1/(2* pi) * pi r^2 theta
= 1/(2* pi) * Ac theta where Ac is the area of a circle
Substituting what we know Ac = 9 pi and theta = 1/9 * pi
A = 1/(2* pi) * 9*pi 1/9 * pi
A = 1/(2* pi) * pi^2
A = 1/2 * pi
A = pi/2
Answer:
Its [tex]\frac{\pi }{2}[/tex] .
Step-by-step explanation:
Because the work shown below will show you how:
[tex]\frac{\theta}{2\pi } = \frac{A_s}{A_c}\\\frac{1}{9} /2\pi = \frac{A_s}{9\pi } \\\frac{1}{18} = \frac{A_s}{9\pi } \\\frac{1}{18} * 9\pi = A_s\\=\pi/2[/tex]
what is .5 as a fraction
Answer:
1/2 is 0.5 as a fraction
Answer:
1/2
Step-by-step explanation:
Not sure how this got in the middle school math section, but basically dividing 1/2 will equal 0.5.
Some other alternatives to 1/2 are
2/4, 4/8
40/80
x/2x
55/110
Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room's temperature decreased by 0.5 ∘ Celsius each minute, and Quinn woke up 60 minutes later when it was 10 ∘ Celsius.
The initial room temperature was -20 degrees Celsius.
Explanation:The temperature in the room decreases by 0.5 degrees Celsius per minute.
After Quinn slept for 60 minutes, the room's temperature became 10 degrees Celsius.
We can calculate the initial room temperature by subtracting the total decrease in temperature from the final temperature:
Initial temperature = Final temperature + (Rate of temperature decrease * Time)
Initial temperature = 10 + (-0.5 * 60) = 10 + (-30) = 10 - 30 = -20 degrees Celsius
Therefore, the initial room temperature was -20 degrees Celsius.
Final answer:
The final temperature of the room after 60 minutes of the air conditioner being on is -20°C.
Explanation:
In this question, we are given the initial temperature of the room and the rate at which the temperature decreases. We are also given the time period for which the air conditioner was on. We need to determine the temperature after the given time period.
Given: Initial temperature = 10°C, Rate of temperature decrease = 0.5°C/min, Time period = 60 min.
To calculate the final temperature, we need to multiply the rate of temperature decrease by the time period and subtract this value from the initial temperature.
Final temperature = Initial temperature - (Rate of temperature decrease * Time period) = 10°C - (0.5°C/min * 60 min) = 10°C - 30°C = -20°C.
In the graphing tool, choose the custom option in the Relationship menu to graph the functions f(x) = x3 + 3 and g(x) = x2 + 2. Adjust the zoom level of the graph so you can see the point where the two graphed functions intersect. Then, left-click on the point where the functions intersect. The values of the point you click on, rounded to the nearest hundredth, will appear for about 2 seconds. Note: If you’re not using a mouse (or a mouse with left-click ability), perform the equivalent zoom-in action on your device to see the intersection point values rounded to the nearest hundredth. Then, approximate (to the nearest hundredth) the solution of f(x) = g(x) from part A of this question.
Answer:
Final answer is x= -0.76 and y=2.57.
Step-by-step explanation:
We have been given two functions [tex]f(x)=x^3+3[/tex] and
[tex]g(x)=x^2+2[/tex]
Now question says to graph the given functions [tex]f(x)=x^3+3[/tex] and
[tex]g(x)=x^2+2[/tex] using some graphing tool. Then zoom as per requirement so that you can see the intersection point and read that point from graph which should be correct up to hundredth decimal place.
I'm using Desmos graphing calculator. Just type both functions then it will create graph for you. Click on intersection point as you can see in the attached picture. They intersect at point (-0.755,2.57).
Hence final answer is x=-0.76 and y=2.57.
Answer:
(-0.76, 2.57)Step-by-step explanation:
The given functions are
[tex]f(x)=x^{3}+3\\ g(x)=x^{2} +2[/tex]
If we wanna find [tex]f(x)=g(x)[/tex] we can just graph and see such point, or we can do some algebra to find it. This problem, specifically, asks an answer using a graphic method. The graph with both functions is attached.
You can see that the interception point is (-0.755, 2.57), which rounded to the nearest hundred is (-0.76, 2.57). At this point the functions are equal ([tex]f(x)=g(x)[/tex]), that's what an interception means.
We obtained this point by just left-clicking on the interception point, as the problem indicates.
What is the value of the digit 7 in 172,416.
Answer:
The 7 in 172,416 is placed in the Ten-Thousands place. That is the place value.
I hope i am correct.
Wanda started walking along a path 27 seconds before Dave. Wanda walked at a constant rate of 3 feet per second. Dave walked along the same path at a constant rate of 4.5 feet per second. Graph the system of linear equations. How long after Dave starts walking will he catch up with Wanda?
Answer:
Wanda and Dave will catch each other in 54 seconds after Dave starts walking.
Step-by-step explanation:
Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them
It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.
[tex]speed=\frac{distance}{time}[/tex]
[tex]3=\frac{y}{x+27}[/tex]
[tex]y=3(x+27)[/tex]
[tex]y=3x+81[/tex] .... (1)
The constant speed of Dave is 4.5 feet per second.
[tex]4.5=\frac{y}{x}[/tex]
[tex]y=4.5x[/tex] .... (2)
Equate equation (1) and (2).
[tex]3x+81=4.5x[/tex]
[tex]81=1.5x[/tex]
Divide both sides by 1.5.
[tex]\frac{81}{1.5}=x[/tex]
[tex]54=x[/tex]
Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.
the values in the table represent a linear function. what is the common difference of the arithmetic sequence x: 1 2 3 4 5 y: 11 25 39 53 67
Answer:
common difference: 14
Step-by-step explanation: You have to find out what number it takes to add to the number to get the following number. ex 11+14=25 25+14=39 etc
Answer:
The common difference of the arithmetic sequence is 14.
Step-by-step explanation:
The arithmetic sequence is defined as
x: 1 2 3 4 5
y: 11 25 39 53 67
The common difference of the arithmetic sequence is
[tex]d=\frac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points, i.e.,(1,11) and (2,25).
[tex]d=\frac{25-11}{2-1}[/tex]
[tex]d=\frac{14}{1}[/tex]
[tex]d=14[/tex]
Therefore the common difference of the arithmetic sequence is 14.
The radius of a circle in 3 units
The area and the circumference of the circle are 28.26 square units and 18.84 units
Finding the area and the circumference of the circle
From the question, we have the following parameters that can be used in our computation:
Radius, r = 3 units
The area and the circumference of the circle are calculated using
Area = πr²
Circumference = 2πr
Substitute the known values into the equation
Area = 3.14 * 3² = 28.26
Circumference = 2 * 3.14 * 3 = 18.84
Hence, the area and the circumference of the circle are 28.26 square units and 18.84 units
Question
The radius of a circle in 3 units
Find the area and the circumference of the circle
The lengths of two sides of a triangle are 3 and 7. What is one possible length of the third sides
1/2 of a box of cereal is divided equally between 4 bowls.How much cereal is in each bowl
Answer:
0.125
Step-by-step explanation:
you have half of box divide that by 4
8 1/3 ÷x=2 1/3 ÷9.1 please help!
Answer: x = 32 1/2
Step-by-step explanation:
2 1/3 divided by 9.1 = 10/39
8 1/3 divided by 10/39 = 32 1/2
8 1/3 divided by 32 1/2 = 2 1/3 divided by 9.1
qhich are the solutions of the quadratic equation x^2=9x+6
x^2-9x-6=0
Use the quadratic formula to get (9+sqrt(105))/2 or (9-sqrt(105))/2
The number of one inch-cubes that will fit into a box that is 9 inches wide, 14 inches long, and one inch high is what?
circle segments and angles .
Answer:
arcBC = 148° ; ∠ACD = 26°
Step-by-step explanation:
Note that these two problems given to us uses the "inscribed angle theorem", which states that the angle is 1/2 the measurement of a central angle. Keep in mind that the central angle's measurement is the same as it's projected arc, and so the inscribed angle would also be 1/2 the measurement of the projected arc. This works vice versa too. The projected arc would be twice as large as the inscribed angle's measurement.
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list three values that would make this inequality true
Answer:
1, 2, 3
Step-by-step explanation:
solve the inequality by dividing both sides by 2, hence
n ≤ 3
3 = 3 and 1, 2 < 3
hence 1, 2 and 3 all make the inequality true
3) The cost of different sizes of orange juice are shown in the table.
Wich container costs the least per ounce?
1.28/16=0.08
8¢ per oz
1.92/32=0.06
6¢ per oz
2.56/64=0.04
4¢ per oz
3.36/96=0.035
3.5¢ per oz
The 96 oz orange juice for $3.36 costs the least per oz.
Answer:
D. $0.035 per ounce.
Step-by-step explanation:
We have been given a table. We are asked to find the container that costs the least per ounce.
Let us find per ounce cost of each container as:
A. [tex]\frac{\$1.28}{\text{16 oz}}=\frac{\$0.08}{\text{oz}}[/tex]
B. [tex]\frac{\$1.92}{\text{32 oz}}=\frac{\$0.06}{\text{oz}}[/tex]
C. [tex]\frac{\$2.56}{\text{64 oz}}=\frac{\$0.04}{\text{oz}}[/tex]
D. [tex]\frac{\$1.92}{\text{96 oz}}=\frac{\$0.035}{\text{oz}}[/tex]
Therefore, the container with 96 oz for $3.36 costs the least per ounce.
Write an equation to represent the situation.
Mrs. Davis bought one pair of pants and two polo shirts for each of her three children. She had $3.09 left after purchasing the clothing items for her children.
Item : polo shirt pants sweater jacket
Price ($) : $9.99 $12.99 $15.99 $19.99
Let m represent the amount of money Mrs. Davis initially had to spend on each of her three children.
Answer:
3(m - 32.97) = 3.09
Step-by-step explanation:
She started with m money for each of the three children.
A pair of pants costs $12.99. Each polo shirt costs $9.99.
A pair of pants and 2 polo shirts cost
$12.99 + 2 * $9.99 = $12.99 + $19.98 = $32.97
For each child, she had m money and spent $32.97.
For each child, she had m - 32.97 money left.
For the three children, the amount of money left was 3(m - 32.97).
We are told that for the three children, the amount of money left is $3.09.
That means that 3(m - 32.97) must equal $3.09.
The equation is:
3(m - 32.97) = 3.09
A van travels 168 miles on 14 gallons of gas,At this rate,how many gallons will it need to travel 252 miles?
A.) 21 gallons
B.)9.3 gallons
C.)20 gallons
D.)23 gallons
Answer:
The answer would be A.) 21 gallons.
Step-by-step explanation:
1.) The first thing you need to do is see how many miles per gallon the van is using by doing 168/14= 12.
2.) Then, you would apply this to the amount need to travel by doing 252/12= 21, meaning the answer is in fact A.) 21 gallons.
To find out how many gallons of gas a van would need to travel 252 miles, given that it travels 168 miles on 14 gallons, you can use a simple ratio and proportion calculation. This yields that the van would need 21 gallons to travel 252 miles.
Explanation:The subject here is the mileage of a van, which is a problem of ratio and proportion. Given that the van travels 168 miles on 14 gallons of gas, we can find out how much it would need to travel 252 miles. We set up the proportion as follows:
168 miles / 14 gallons = 252 miles / X gallons
To find X (the unknown), we cross multiply:
168 * X = 252 * 14
After solving this equation, we find that X equals 21. Therefore, the van would need 21 gallons to travel 252 miles.
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In a parallelogram WXYZ , W and X are adjacent interior angles the measure of X is three times the measure of W which equation gives the exact measure of W
Answer:
The required equation is [tex]\angle W+3\angle W=180^{\circ}[/tex].
Step-by-step explanation:
Given information: WXYZ is a parallelogram, W and X are adjacent interior angles and measure of X is three times the measure of W.
According to the properties of parallelogram, the two adjacent interior angle are supplementary angle and their sum is 180 degrees.
[tex]\angle W+\angle X=180^{\circ}[/tex] .... (1)
It is also given that the measure of X is three times the measure of W.
[tex]\angle X=3\angle W[/tex]
Substitute this value in equation 1.
[tex]\angle W+3\angle W=180^{\circ}[/tex]
[tex]4\angle W=180^{\circ}[/tex]
[tex]\angle W=45^{\circ}[/tex]
Substitute this value in equation 1.
[tex]\angle W=135^{\circ}[/tex]
Therefore the required equation is [tex]\angle W+3\angle W=180^{\circ}[/tex].
I NEED THESE DONE OR I WONT GET A GOOD GRADE!!!!!
PLEASE HELP ME!!!!!
14. 8x + 7 = -9
21. - 9d - 1 = 17
23. -5b + 24 = -1
7. - 1/5b - 2/5 = -2
2. 2/7y + 5 = -9
Answer:
14.x=-2
21. x=-2
23. x=5
7.x=12
2.x=49
Step-by-step explanation:
I got your back bro:
14. Subtract 7 on both sides. Then divide -16 by 8. x=-2
21. Add 1 on both sides. Divide 18 by -9. x=-2
23. Subtract 24 on both sides, then divide -25 by -5. your answer is x=5.
7. Add 2/5 on both sides. then multiply 2 2/5 by the reciprocal of -1/5. Your answer is x=12
2. Subtract 5 on both sides. Multiply 14 by the reciprocal of 2/7, or 7/2. Your answer is 49.
Good luck!
what is the equation of the line on the graph with points (-2,2) and (-2,-3)
Answer:
x=-2
Step-by-step explanation:
Given points are (-2,2) and (-2,-3).
Now we need to find equation of the line passing through the given points.
So let's begin by finding slope
[tex]m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}=\frac{\left(-3-2\right)}{\left(-2-\left(-2\right)\right)}=\frac{\left(-5\right)}{\left(-2+2\right)}=-\frac{5}{0}[/tex]
which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.
Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.
x-coordinate is -2 in given points.
Hence final equation is x=-2.
Answer:
x=-2
Step-by-step explanation: