find the equation of a circle that passes through (2,0) and (8,0)and also touches the y axis
(x-5)*2 +(y-4)*2=25
Explanation
Equation of circle is (x-a)*2 + (y-b)*2=r*2
Expand equation to get
x*2 - 2ax + y*2- 2by+ b*2= 0
Then take the points and put them into the equation
You will then have two equations
Solve them simultaneously to find a and b
Where a= 5 and b = 4
After put it back to the equation of the circle
Determining the Vertex of a Parabola from Its Graph
On a coordinate plane, a parabola opens up with solid circles along the parabola at (negative 6, 5), (negative 5, 0), (negative 4, negative 3), (negative 3, negative 4), (negative 2, negative 3), (negative 1, 0), (0, 5).
What is the vertex of the parabola in the graph?
(
,
)
Answer:
(-3, -4)
Step-by-step explanation:
The solid circles along the parabola are:
(-6, 5), (-5, 0), (-4, -3), (-3, -4), (-2, -3), (-1, 0), (0, 5).
Although on observation, the minimum point of y occurs at (-3, -4), we can also confirm through the function.
The x-intercept of the parabola are -5 and -1.
x=-5 or x=-1
x+5=0 or x+1=0
(x+5)(x+1)=0
[tex]x^2+5x+x+5=0\\x^2+6x+5=0[/tex]
The Vertex of the equation occurs at the axis of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]
In [tex]f(x)=x^2+6x+5, a=1, b=6[/tex]
Axis of Symmetry, [tex]x=-\dfrac{6}{2}=-3[/tex]
[tex]f(-3)=(-3)^2+6(-3)+5=9-18+5=-4[/tex]
Therefore, we can confirm that the vertex is (-3,-4) as stated earlier.
IF SOMEONE ANSWERS CORRECTLY WITHIN 5 MINUTES THEY WILL GET BRANLIEST ANSWER
An explosion causes debris to rise vertically with an initial velocity of 144 feet per second. The function s left parenthesis t right parenthesis equals negative 16 t squared plus 144 t describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. What is the instantaneous speed of the debris when it hits the ground?
Answer:
160ft
Step-by-step explanation:
What is another term for y value
Another term for y value is range.
What is domain and range of function?The domain of a function is a set of values for which the function is defined.
The range of the function is the set of all values that a function takes.
Now in the given question, for another term of y-
Reciprocal- reciprocal means opposite.
Function- function is when the y values do not repeat in a pattern.
Range- Range is another term for a y value.
Independent Value - an independent value is X.
Therefore,another term for a y value is Range.
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Landon left a garbage can on the lawn and the grass underneath it died. The diameter of
the can is 54 centimeters. What is the area of the grass that died? Use 3.14 for pi.
Answer:
The area of the grass that died is 2,289.06 cm²
Step-by-step explanation:
In order to calculate the area of the grass that died, we need to calculate the area of the bottom of the trash can. Since it's a circular shape it's area is given by:
area = pi*r²
Where r = d/2, therefore:
r = 54/2 = 27 cm
Applying this data to the formula, we have:
area = pi*(27)² = 2,289.06 cm²
The area of the grass that died is 2,289.06 cm²
What is the approximate circumference of the circle shown below?
Answer:
A
Step-by-step explanation:
to find the circumference of a circle, u multiply the diameter by pi. pi is approximately 3.14. 12.2 times 3.14 is 38.308. rounded to the nearest tenth it is 38.3 :)
The width of a rectangle is 1 units less than the length. The area of the rectangle is 56
units. What is the width, in
Units
Answer:
Width = 7 units
Step-by-step explanation:
Length = x units
Width = (x -1) units
Area = 56 square units
length * width = 56
x * (x - 1) = 56
x*x - x*1 = 56
x² - x - 56 = 0
x² -8x + 7x - 7*8 = 0
x(x - 8) + 7(x - 8) = 0
(x - 8)(x + 7) = 0
Here, (x +7) is ignored because measurement will not in negative.
x - 8 = 0
x = 8
Length = 8 units
Width = 8-1 = 7 units
Width
Monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cupis ퟖcentimeters in diameter and ퟏퟏcentimeters tall. She starts with a ퟏퟎ-gallon container (one gallon is equivalent to ퟑퟕퟖퟓ풄풎ퟑ)
Answer:
Part A Answer = 206
Part B Answer= 5
Step-by-step explanation:
Part A Explanation:
The formula for volume of a cone is V=(1/3) pi*r^2 h
So then you plug in. V= 1/3 pi (4)^2(11)
You get the radius by dividing the diameter by 2
When you multiply it all it becomes 184.31cm^3 (Save this for later on in this Part A question)
Now we have to find the Volume of the cooler. That would be: 10*3785=37850 Since there were 10 gallons and each gallon is 3785 cm^3 you multiply them together.
Then you divide the volume of the cooler by the volume of the cone cup: 37,850/184.31=205.36 but since you cannot have 205.36th of a cup you need to get another one since 205 would not be enough giving us a total of 206 cups.
Part B explanation: Since there are 50 cups per package you would have to divide 206 by 50. 206/50=4.12 but again since you cannot buy 4.12 of a package you need to buy 5 packages for it to be enough.
What is the factored form of 30w+48
Answer:
[tex]6\left(5w+8\right)[/tex]
Step-by-step explanation:
[tex]30w+48[/tex]
[tex]6\cdot \:5w+6\cdot \:8[/tex]
[tex]6\left(5w+8\right)[/tex]
5(x+4)<75
please reply in the next 24 hours asap.
Answer:
x <11
Step-by-step explanation:
5(x+4)<75
Divide each side by 5
5/5(x+4)<75/5
x+4 < 15
Subtract 4 from each side
x+4-4 < 15-4
x <11
Answer:
[tex]x<11[/tex]
Step-by-step explanation:
Solve for x. Divide both sides by 5:
[tex]\frac{5(x+4)}{5}<\frac{75}{5}\\ \\x+4<15[/tex]
Subtract 4 from both sides to isolate x:
[tex]x+4-4<15-4\\x<11[/tex]
x is less than 11.
Finito.
Find the whole.
155% of what number is 93?
155% of what number is 93?:
60
How many angles are alternate interior angles with angle 9?
Brainliest for whoever answers first!!!!!!
Answer:
Angle 7 and angle 15
Step-by-step explanation:
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.Alternate interior angles with angle 9 are:
Transversal s, parallel lines are t and u,
Angle 9 is in pair with angle 7Transversal u, parallel lines are s and r,
Angle 9 is in pair with angle 15If angle 9 is an interior angle within a pair of parallel lines cut by a transversal, then there would be one alternate interior angle to angle 9. The alternate interior angles are those inside the lines and on opposite sides of the transversal.
Explanation:In a pair of parallel lines cut by a transversal, the alternate interior angles are those angles that are inside the pair of lines and on opposite sides of the transversal. The alternate interior angles are equal when the lines are parallel. From your question, it's not clear which lines are parallel and where angle 9 is located.
Let's assume that angle 9 is one of the interior angles created by the transversal on a pair of parallel lines. In that case, there would be one angle that is an alternate interior angle to angle 9. So without more information, we can only say that there is one alternate interior angle to angle 9.
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What is the value of x in the equation -2/3x + 9 = 4/3x - 3 ?
Answer:
x = 1/6
Step-by-step explanation:
hope it helps.
x= 1/6
Answer: 6
Step-by-step explanation:
[tex]-\frac{2}{3}x+9=\frac{4}{3}x-3[/tex]
Subtract [tex]\frac{4}{3}x[/tex] from both sides to leave variables on the left.
[tex]-\frac{4}{3}x-\frac{2}{3}x+9=\frac{4}{3}x-3-\frac{4}{3}x[/tex]
[tex]-\frac{4}{3}x-\frac{2}{3}x+9=-3[/tex]
Now subtract 9 from both sides to isolate independent variables on the right.
[tex]-\frac{4}{3}x-\frac{2}{3}x+9-9=-3-9[/tex]
[tex]-\frac{4}{3}x-\frac{2}{3}x=-3-9[/tex]
Combine like terms;
[tex]-\frac{6}{3}x=-12[/tex]
Simplify;
[tex]-2x=-12[/tex]
To completely isolate x, divide by -2
[tex]\frac{-2x}{-2}=\frac{-12}{-2}[/tex]
[tex]x=6[/tex]
Ashley use 1/5 cup of winegar in her salad dressing recipe. How much
vinegar would Ashley use to make 2/3 of a recipe? *
Answer:
I think the answer is 2/15 but I'm not a hundred percent sure
Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make [tex]\(2/3\)[/tex] of her salad dressing recipe.
To find out how much vinegar Ashley would use to make 2/3 of her salad dressing recipe, we need to calculate the amount of vinegar used in the full recipe and then scale it down to 2/3 of that amount.
In the full recipe, Ashley uses 1/5 cup of vinegar. To make 2/3 of the recipe, we multiply the amount of vinegar needed for the full recipe by 2/3:
[tex]\[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \text{ cup} \times \frac{2}{3} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \times \frac{2}{3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1 \times 2}{5 \times 3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{2}{15} \text{ cup} \][/tex]
So, Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make 2/3 of her salad dressing recipe. Simplifying [tex]\(\frac{2}{15}\)[/tex] gives us [tex]\(\frac{2}{15} = \frac{2 \div 1}{15 \div 1} = \frac{2}{15}\)[/tex], which is already in its simplest form. Thus, the final answer remains [tex]\(\frac{2}{15}\)[/tex] cup of vinegar.
Find an equation of the line passing through the point (5,4) and parallel to the line whose equation is 2x+y=3
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) you have : x_1 =5 and y_1 =4
m the slope m= -2 (same slope for the line : 2x+y=3 because this lines are parallel and you can write y=-2x+3
an equation for this line is : y-4 = -2(x-5)
Final answer:
The equation of the line parallel to 2x + y = 3 and passing through the point (5, 4) is y = -2x + 14.
Explanation:
To find the equation of a line that is parallel to the given line 2x + y = 3 and passes through the point (5, 4), we first need to put the given line into slope-intercept form (y = mx + b), where m represents the slope and b the y-intercept. For the equation 2x + y = 3, we solve for y to get y = -2x + 3, which shows that the slope (m) is -2. Since parallel lines have the same slope, our new line will also have a slope of -2.
Using the point-slope form (y - y1 = m(x - x1)), where (x1, y1) is the point (5, 4) and m is -2, we get y - 4 = -2(x - 5). Simplifying this, y - 4 = -2x + 10, which leads to y = -2x + 14 as the equation of the line passing through (5, 4) and parallel to 2x + y = 3.
Explain the difference between sales tax and income tax.
Answer:
Income tax is a separate issue from sales tax when you're running a small business. Income tax is the amount you pay on your total income from the business to the federal and state government. Sales tax is a percentage amount that your customers have to pay when they purchase certain items from your business.
Step-by-step explanation:
It would be great help!!
A cookie factory produced 2,435,956 packages of cookies. There were 52 cookies in each package. How many cookies did the factory produce in all?
Answer: The factory produced 46845.3076923 cookies, though in context the answer does not make sense. If you were to estimate then it'll be 46845 cookies.
Ohn always wears a shirt, pants, socks, and shoes. He owns 1212 12 12 pairs of socks, 33 3 3 pairs of shoes, 55 5 5 pairs of pants, and 55 5 5 shirts. How many different outfits can John make?
Answer:
900 outfits
Step-by-step explanation:
Assuming that every shirt, pair of pants, pair of socks and pair of shoes are different, the number of different outfits that John can make is determined by multiplying the quantity available of each item (shirt, pants, socks, and shoes):
[tex]n=12*3*5*5\\n=900\ outfits[/tex]
John can make 900 different outfits.
Here is the equation of a circle in standard form.
(x + 10)2 + (y + 9)2 = 100
What is the radius?
A. 100
B. 50
C. 10
Answer:
C
Step-by-step explanation:
The equation is in the standard form for a circle:
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center, and r is the radius
If we compare the 2 equations:
(x-h)^2+(y-k)^2=r^2
(x + 10)2 + (y + 9)2 = 100
We can see that r^2 is equal to 100. Let's set them equal to each other.
r^2=100
Since r is being squared, take the square root of both sides. This will cancel out the exponent.
[tex]\sqrt{r^2}=\sqrt{100}[/tex]
r=10
So, our radius is 10, or choice C
Answer:
c
Step-by-step explanation:
OMY
I was so thrown off my the 2's
square root of 100 = 10
can somebody help me answer this question 1 + 1 thank you it's urgent
Answer:1+1=2
Step-by-step explanation:Because 1+1=2
Answer:
2
Step-by-step explanation:
Given the diagram below, find the measure in degrees of angle b & angle c
1) B= 68, C= 34
2) B= 68, C=68
3) B=34, C= 34
4) B=34, C=68
The measurements of the angles ∠ABD and ∠ACD will be 34° and 34°. Then the correct option is C.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The central angle is double the angle at the periphery that was subtended by the same chords.
Then the arc AD is double of angle ∠ABD.
∠ABD = arc AD / 2
∠ABD = 68° / 2
∠ABD = 34°
Similarly, the arc AD is double of angle ∠ACD.
∠ACD = arc AD / 2
∠ACD = 68° / 2
∠ACD = 34°
Thus, the measurements of the angles ∠ABD and ∠ACD will be 34° and 34°.
Then the correct option is C.
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Can someone plz determine the positive integers for me?? ( marking first as brainiest ) ( help is much appreciated:)
Answer:
10: 7 and 4
11: 1 and 3
12: 7 and 8
13: 3 and 5
14: 8 and 9
15: 10 and 14
These should be the answers, check with your teacher too.
Step-by-step explanation:
Find the equation of a parabola with vertex (3, 5) and directrix y = 7.
Answer: -8(y-5) = (x-3)2
Step-by-step explanation:
Well, p(y-k) = (x-h)2 has Vertex (h,k) = (3,5). So the Distance from vertex to directrix is 2; distance from vertex to focus is 2; focus is directly beneath the vertex. Therefore it's p = -2 ( I hope this helped<3)
see picture^
can someone pls help me with this question, i will give brainliest to the first answer that’s right
Answer:
No.
Step-by-step explanation:
First class section seats: 5/7 = 10/14 so 10 seats are being used.
Business: 5/16 = 20/64, 20 seats are being used.
Economy: 5/9 = 60/108, 60 seats are being used.
10 + 20 + 60 = 90
108 + 64 + 14 = 186
90/186 is less than 1/2, because 1/2 = 93/186
Consider the solid formed by rotating a 2 x 3 rectangle with vertices (2,0), (4,0), (2,3), and (4,3) about the y-axis select all the statements that are true about the resulting figure.
It will be a rectangle in the 3rd quadrant
It will be a solid cylinder with a radius of 2
It will be a hollow cylinder, the central core has a radius of 2
It will have a surface area equal to 56pi
It will have a surface area equal to 48pi
Answer: It will be a hollow cylinder, the central core has a radius of 2 and It will have a surface area equal to 48pi
Step-by-step explanation:
Just did it on algebra nation
Find the whole.
500% of what number is 4,800?
What is the value of q
Answer:
70
Step-by-step explanation:
angles on a straight line add up to 180 degrees add 52+58=100 then minus from 180 =70
the angles of a quadrilateral are 5x - 30°, 60° - x, 3x + 60° and 4x + 50°. Find the smallest of these angles?
The sum of all andles in quadrilateral is equal to 360°, so
[tex]5x - 30 + 60 - x + 3x + 60 + 4x + 50 = 360 \\ 11x = 220 \\ x = 20[/tex]
Now we need to put x into polynomials
1)
[tex]5 \times 20 - 30 = 70[/tex]
2)
[tex]60 - 20 = 40[/tex]
3)
[tex]3 \times 20 + 60 = 120[/tex]
4)
[tex]4 \times 20 + 50 = 130[/tex]
Answer: the smallest ahgle is 60-x
Natasha’s family has advised her not to depend completely on the insurance that her employer provides. Natasha now plans to independently obtain property and casualty insurance, auto insurance, and other insurance related to her personal life. What are the two ways in which she can accomplish her goal?
A. by seeking help from the human resource department of her company
B. by asking her family members to share their insurance with her
C. by hiring a local agent or broker who is familiar with her needs
D. by letting her employer-based life insurance and health insurance coverage lapse
E. by registering on the website of a national insurance company
Answer:
C. by hiring a local agent or broker who is familiar with her needs
and
E. by registering on the website of a national insurance company
Step-by-step explanation:
Just got this right on Plato :)
To independently obtain additional insurance, Natasha has two main options: hiring a local insurance agent or broker for personalized service, or registering on the website of a national insurance company for convenience and direct-purchase options.
Explanation:Natasha can accomplish her goal of obtaining additional insurance coverage independently from her employer by following two main paths:
C. by hiring a local agent or broker who is familiar with her needs, orE. by registering on the website of a national insurance company.By consulting a local insurance agent or broker, she can receive personalized advice and find coverage that fits her specific situation.
On the other hand, registering on the website of a national insurance company allows her the convenience to compare different plans and sign up for insurance that she can directly purchase.
Doing either will help her cover personal assets and health beyond what her employer provides without affecting her existing employment-based insurance coverage. It's important for her to assess her individual needs, risk factors, and financial situation when choosing the best insurance plans for her lifestyle.