False, -4(X - 5) would be -4x + 20.
a circle has a center located at 2 5 and passes through the point 10 3 answer
Determine the equation of the circle. Show how you arrived at your answer.
Write the equation of the tangent line to the circle at the point . Show how you determined your answer.
Answer:Explanation: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.
Step-by-step explanation:
The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle has a center located at (2, 5) and passes through the point (10, 3), hence:
[tex]Radius=\sqrt{(3-5)^2+(10-2)^2}=8.25[/tex]
The equation of the circle is:
(x-2)² + (y-5)² = 8.25²
(x - 2)² + (y - 5)² = 68
The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68
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2x3y − 3x2 + 7y2x − 12y in standard form
Answer:
Step By Step Explanation:
Answer:
A) 2x3y + 7y2x − 3x2 − 12y
You bought a magazine for $5 and 20 erasers. If you spent a total of $11, how much did each eraser cost
Answer:
.30 cents
Step-by-step explanation:
11-5=6
6 divided by 20
water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.
the depth of the water increases linearly
please help soon I have been stuck on this problem for a really long time.
at 1:30 pm the water depth was 2.4ft
it is now 4:00 and the water depth is 3.9 ft
what will the water depth be at 5:00?
Answer:
The depth of water at 5:00 is 4.5 ft.
Step-by-step explanation:
Depth of water at 1:30 PM = 2.4 ft
Depth of water at 4:00 PM = 3.9 ft
Change in time = 4 - 1:30 = 2.5 hours
Depth increased in 2.5 hours = 3.9 - 2.4 = 1.5 ft
Now, we are given that the depth of water is increasing linearly, so after 4:00 PM as well, the water depth will keep on increasing with the same rate as that of previous time intervals.
We have to find out the depth at 5:00 PM i.e. we need to find out the increase from 4:00 PM to 5:00 PM (1 hour) and then add it to depth at 4:00 PM.
Depth increased in 2.5 hours = 1.5 ft
Depth increased in 1 hour = 1.5 / 2.5 = 0.6 ft
Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour
[tex]\Rightarrow[/tex] 3.9 + 0.6 = 4.5 ft
Depth increased in 2.5 hours = 1.5 ft
So, The depth of water at 5:00 is 4.5 ft.
The depth of water at 5:00 is 4.5 ft.
Given that,
Depth of water at 1:30 PM = 2.4 ft Depth of water at 4:00 PM = 3.9 ft Si, Change in time = 4 - 1:30 = 2.5 hoursNow
Depth increased in 2.5 hours is
= 3.9 - 2.4
= 1.5 ft
Depth increased in 1 hour = [tex]1.5 \div 2.5[/tex] = 0.6 ft
Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour
= 3.9 + 0.6
= 4.5 ft
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Jack and his cousin Emma are picking apples in their grandparents' orchard. Jack has filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. Emma has 8 full baskets and will continue picking at 6 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take? How much fruit will they have picked by then?
Answer:
3 hours
26 baskets each giving a total of 52 baskets
Step-by-step explanation:
Jack has already filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. This means that in x hours he would have filled an additional 5x basket to the initial 11 baskets. Therefore the number of baskets that Jack would have filled in x hours can be given by:
11 + 5x
Emma has already filled 8 baskets with apples and is filling them at a rate of 6 baskets per hour. This means that in x hours he would have filled an additional 6x basket to the initial 11 baskets. Therefore the total number of baskets that Emma would have filled in x hours can be given by:
8 + 6x.
The time it would take Emma and Jack to have completed the same number of baskets can be gotten by using this equation and solving for x:
11 + 5x = 8 + 6x
11 - 8 = 6x - 5x
x = 3 hours.
It would take them 3 hours to fill the same number of baskets.
The number of fruits Jack would have picked in 3 hours = 11 + 5(3) = 26 baskets.
The number of fruits Emma would have picked in 3 hours = 8 + 6(3) = 26 baskets.
Both Emma and Jack would have picked 26 baskets each, giving a total of 52 baskets
Can someone help me with this?
(5+w)(w+4)
Answer:
w^2+9w+20
Step-by-step explanation:
Apply the FOIL METHOD: (a + b) (c + d) = ac + ad + bc + bd
a = 5
b = w
c = w
d = 4
= 5w + 5 x 4 + ww + w x 4
= 5w + 5 x 4 + ww + 4w
Simplify 5w + 5 x 4 + ww + 4w:
w^2 + 9w + 20
Solve for b.
–2b = 11b + 13
The value of b is -1
look at the attached picture
Hope it will you
Good luck on your assignment
Tom is twice as old as andy. in 4 years' time, the sum of their ages will be 32 years. Find andy's present age. Don't forget to identify your variable and answer in a full sentence.?
Answer:
8 years old
Step-by-step explanation:
Andy = x
Tom = 2x
So..
2x + 4 + x + 4 = 32
3x + 8 = 32
3x = 24
x = 8
Answer:
8 years old
Step-by-step explanation:
If we put Tom's age as x, since Andy is twice as old, Andy's age is 2x. Therefore, since Tom's age + Andy's age in two years is 32,
(x + 4) ← Tom's age in 4 years
(2x + 4) ← Andy's age in 4 years
We can now create an equation:
x+4 + 2x+4 = 32
Combining like terms, x + 2x = 3x, so now we have
3x + 4 + 4 = 32
4+4=8, so
3x + 8 = 32
-8 -8
3x = 24
Divide both sides by 3, and you have your answer ;
x = 8
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Find the area of the triangle. Enter your answer in the box. I really need help with this, the image is below
Answer: 12
Step-by-step explanation:
Area of trinagle = b * h /2
8*3= 24/2= 12
PLEASE HELP!!!!! Consider the functions f(x)=x−7 and g(x)=4x3.
What is f(x)+g(x)?
Answer:
The answer is 13x-7
Step-by-step explanation:
f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.
Compare interior intersections and
exterior intersections. How are they the
same? How are they different?
Answer:
Interior intersections are those intersecitons inside the main figure. For example, the intersection between two chords of a circle, that represents an interior intersection.
Exterior interseciton are those intersections which happens outside the figure, for example, the intersection of two tangent lines of a circle.
Basically, they are similiar, because both type of intersections are formed by the encounter between two lines or segments.
However, they are different, because each type is formed at different parts of the figure, one inside and one outside.
This graph relates the length in centimeters to the approximate length in inches. Lengths in Centimeters and Inches a coordinate plane, the x-axis is labeled Length in centimeters and the y-axis is labeled Length in inches. A line goes through points (0, 0), (1, 0.39), (2, 0.78). According to the graph, which must be true? A length of 8 centimeters is approximately 3.12 inches. A length of 3 inches is approximately 1.17 centimeters. A length of 5 centimeters is approximately 1.56 inches. A length of 6 inches is approximately 2.34 centimeters.
Answer: The Answer Is A!!!!
Step-by-step explanation:
Well, Logically All Of The Other Answers Make No Sense...
Enjoy!! <3
Answer:
A its just A ok
Step-by-step explanation:
Mr W. is having a yard sale, where he is selling iPad chargers and wireless keyboards. At the end of the day, he knows he sold a maximum of 14 items, and he earned a total of $342. If he charged $18 for each iPad charger (x) and $38 for each keyboard (y), write a system of inequalities that models this situation.
(b) graph that system of inequalities
(c) is it possible he sold 11 iPad charges and 3 wireless keyboards? explain based on your graph
Answer:
i dont get it
Step-by-step explanation:
13.12 / .10 equals what please help me
Answer:
131.2
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
13.12 / .10
132
Complete equation of the line through (1,4) and (2,2)
Answer:
y = -2x + 6
Step-by-step explanation:
y=mx + c
m is the gradient and c is the y intercept
m = (y 2 - y 1) / (x 2 - x 1) = (2-4) / ( 2-1) = -2
y= -2x + c
To find c, just sub one of the coordinates into the eqn:
By using the coordinates (1,4)
4 = -2(1) + c
c = 6
Therefore, the equation is y = -2x + 6
Colleen's movie collection contains 6 movies, including 2 action movies. What is the probability that a randomly selected movie will be an action movie?
Answer:
33.33% probability that a randomly selected movie will be an action movie
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
2 action movies out of 6.
Probability of selecting an action movie.
2/6 = 0.3333
33.33% probability that a randomly selected movie will be an action movie
Answer:
pobably yes
Step-by-step explanation:
The population of the united states is 280 million. If 2 out of 3 americans know who the vice president is, how many americans know who the vice presdient is?
Answer:
186,666,667 Americans know who the vice president is
Step-by-step explanation:
In this question, we are tasked with calculating the number of USA citizens that know who the vice president is.
Now, in this question, we are made to know that the total population is set at 280 million with 2 out of three knowing who the vice president is.
What this means is that a fraction of the population at 2/3 knows who the vice president is
This fraction is equal to; 2/3 * 280,000,000 = 186,666,666.66666666
This is approximately equal to 186,666,667 people
Answer:
About 186.7 million people know who is the president of the United States.
Step-by-step explanation:
The number of US people who know who the vice president is (Mike Pence in 2020):
[tex]x = \frac{2}{3}\cdot (280\times 10^{6}\,people)[/tex]
[tex]x = 186.667\times 10^{6}\,people[/tex]
About 186.7 million people know who is the president of the United States.
Simplify the expression.
8x ^-4 y^-8/
-2xy^5
Write your answer without negative exponents.
Answer:
[tex]\frac{-4}{x^5y^13}[/tex]
Step-by-step explanation:
Which conclusion can be drawn from the scatter plot...
Answer:
3, there is a positive correlation
Step-by-step explanation:
Determine the probability of each event. Write impossible, unlikely,
as likely as not, likely, or certain. Then, tell whether the probability is
0, close to o, , close to 1, or 1.
1. randomly picking a blue card from a bag containing all blue cards
2. rolling an odd number on a number cube containing numbers 1 through
6
3. picking a red marble from 4 white marbles and 7 green marbles
Find each probability. Write your answer in simplest form.
4. A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking
you choose a file. What is the probability of drawing a number?
5. The names Phil, Angelica, Yolanda, Mimi, and Ed are on slips of
paper in a hat. A name is drawn without looking. What is the
probability of not drawing Ed?
6. A standard deck of cards contains 13 of each suit: red hearts,
red diamonds, black clubs, and black spades. What is the probability
of drawing a red card without looking?
A board game includes the 9 cards below.
Move
Move
Move
Move
Move
back
up
up
up
back
4.
2.
3.
1.
3.
Move
up
6.
Move
back
2.
Move
up
5.
Μονο
up
2.
7. Mia says the probability of moving back is the same as the probability
of moving up, Is she correct? What is the probability of moving back?
Explain.
8. Gavin needs to move up more than 4 spaces to win the game. Is he
likely to win on his next turn? What is the probability that he will not
win on his next turn? Explain.
Answer:
green
Step-by-step explanation:
ahahsvs asks d ja ssbsbs d
what is csc of angle b. reduce fractional answers to lowest terms
Answer:
17 / 8
Step-by-step explanation:
So the cosecant is equal to the hypotenuse ÷ opposite side
Hypotenuse = 17
Opposite side = 8
17 / 8
The measure of the cosecant of the angle B is 17/8.
What is the relation between cosecant and sine function?We can write the relation between cosecant and cosine function as -
cosec(x) = 1/sin(x)
Given is a right angled triangle.
We can write -
cosec(b) = 1/sin(b)
cosec(b) = 1/(p/h)
cosec(b) = (h/p)
cosec(b) = 17/8
Therefore, the measure of the cosecant of the angle B is 17/8.
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Find the length of the missing side and show the work please
Answer:
13 cm
Step-by-step explanation:
Using Pythagorean theorem
5²+12²=c²
25+144=c²
169=c²
In order to get rid of the ² it has to be square rooted
√169=√c²
c = 13
Two cylinders are shown below which cylinder has a greater volume use 3.14 for pi
Answer:
Cylinder Q has a greater volume
Step-by-step explanation:
For this question we need to utilise the volume of a cylinder which is
→ Volume of a cylinder = π × r² × h
Let's substitute in the values and then do the analysis
Cylinder P
→ Volume of a cylinder = π × r² × h
⇒ Substitute in the values
→ Volume of a cylinder = π × 4.25² × 14
⇒ Simplify
→ Volume of a cylinder = 794.430242277
The volume of cylinder P is 794.430242277
-------------------------------------------------------------------------------------------------------
Cylinder Q
→ Volume of a cylinder = π × r² × h
⇒ Substitute in the values
→ Volume of a cylinder = π × 7² × 8.5
⇒ Simplify
→ Volume of a cylinder = 1308.47334022
The volume of cylinder Q is 1308.47334022
-------------------------------------------------------------------------------------------------------
We can see that cylinder Q has a greater volume
The cost of a phone plan Q is $10 per month plus $0.14 per minute. Phone plan R cost $7 per month plus $0.17 per minute. If Anthony talks on the phone for 70 minutes in a month, which plan is less expensive for Anthony, and by how much?
Answer:
Plan Q cost $18.9 and it is less expensive by $0.9
Step-by-step explanation:
Cost of Phone Q=$10+$0.14 per minute
Cost of phone R=$7+$0.17 per minute
Let m=number of minutes
If Anthony talks for 70 minutes
Cost of Q=$10+$0.14(m)
=$10+$0.14(70)
=$10+$9.8
=$19.8
Cost of phone R=$7+$0.17(m)
=$7+$0.17(70)
=$7+$11.9
=$18.9
Plan Q cost $18.9 and it is less expensive by $0.9
I can't figure this question out can I please have help with this question
Answer: 45 degrees
Step-by-step explanation:
The blades of the fan align at 0, 45, 90, 135, 180, 225, 270 and 315.
If you move the blades 45 degrees the fan's blades will be in the same position as the one before them
Sorry if I didn't explain it well, comment and I'll try to explain better
Write an expression for the volume of a rectangular prism with length 7.5 ft, width w ft, and height 4.2 ft. Enter the smaller number first. sad :'(
Answer:
volume = 31.5w
Step-by-step explanation:
A rectangular prism is a 3 dimensional figure that have 6 faces that are rectangular in shape. To ascertain the volume of a rectangular prism you need to know the length, width and height. The formula for the volume of a rectangular prism is represented below .
volume of a rectangular prism = LHW
where
L= length
H = height
W = width
volume = LHW
L = 7.5 ft
W = w ft
H = 4.2 ft
The expression for the volume of a rectangular prism with the following value above can be represented below.
volume = 4.2 × 7.5 × w
volume = 31.5w
lan has a flower pot in the shape of a rectangular prism. The base of the
flower pot is 36 square inches. The flower he's planting needs the soil to
be 3 inches deep. How much soil should lan put in the flower pot?
How can we find the volume of the soil in cubic inches?
Answer: 108 cubic inches
Step-by-step explanation:
Hi, to answer this question we have to apple the next formula:
Volume of a rectangular prism (V): base area x height (deep of the soil)
Replacing with the values given:
V = 36 x 3 =108 cubic inches
Ian should put 108 cubic inches of soil in the flower pot.
The volume of the soil is 108 cubic inches.
Feel free to ask for more if needed or if you did not understand something.
I really don't understand this. Can someone help me.
Answer:
Step-by-step explanation:
sum of angles of a polygon=(n-2)*180
S=(n-2)*180
n=13
S=(13-2)*180
=11*180
=1980°
2.
sum of angles=95+140+120+75+130+115+80
=750
again sum of angles of a heptagon=(7-2)×180
=5×180
=900
so these can,t be angles of heptagon.
3.
external angle of heptagon=360÷10=36
internal angle=180-36=144°
it is a convex polygon.
4.
external angle=360÷9=40°
internal angle=180-40=140°
it is a convex polygon.
5.
external angle=360÷5=72°
internal angle=180-72=108°
it is a convex polygon.
9. The volume of a cubical box is 19.683 cucm. Find the length of each side of the box *
(5 Points)
Answer:
Step-by-step explanation:
a^3=19.683
a^3=2.7^3
length of each side=2.7 cm
Answer:
2.7 meters long
Step-by-step explanation:
Volume of a Cube is: [tex]V=a^3[/tex]
Where 'a' is the side length.
Each side of the box would be the cube root of the total volume in this case,
[tex]V=19.683\\\sqrt[3]{19.683}\\{a=2.7}[/tex]
The length of each side should be 2.7 meters long.
answer quick for brainliest!
A
Step-by-step explanation: