Answer:
F(2, 11/2)
Step-by-step explanation:
The expression:
(x-2)² = 10(y - 3)
can be rewritten in the vertex form as follows:
(x-2)² = 10y - 30
(x-2)² + 30 = 10y
1/10(x-2)² + 3 = y
General vertex form is:
y = a(x-h)² + k
then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10
The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:
p = 1/(4*1/10) = 5/2
F(2, 3+5/2) = F(2, 11/2)
Answer:
C is the answer
Step-by-step explanation:
I'm never wrong.
Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?
Yes, Kevin is correct
In "The Gift of the Magi," O. Henry most likely uses the irony of the couple’s gifts to express the theme thatWhat number should be added to both sides of the equation to complete the square? x2 – 10x = 7
Answer:
Step-by-step explanation:
To complete the square, divide that 10 in the 10x by 2, then square that answer.
10/2 = 5
5^2 = 25
Add 25 to both sides
Are these rates equivalent?
25 minutes for 3$
1 hour for 6$
Answer:
no
Step-by-step explanation:
25 minutes for $3 ends up being $7.20 for 1 hour which is greater than 6.
Answer:
no
Step-by-step explanation:
We can use ratios to see if they are equivalent
25 minutes 60 minutes
---------------- = -------------------
3 dollars 6 dollars
Using cross products
25*6 = 3 * 60
150 = 180
This is not true so they are not equivalent
-5/6+2/6=
What is the answer to this?
Step-by-step explanation:
Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.
Answer:
-1/2
Step-by-step explanation:
2/6-5/6=
(-(5-2))/6=
-3/6:
-3/3=-1
6/3=2
-3/6=-1/2
Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?
Answer:
Step-by-step explanation:
Starting off we have this information:
Gus has $75 (g = 75).
He can withdraw up to 200 dollars more than he has.
This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.
Anyway, every time he purchases while in overdraft, he loses another $35.
He spends a total of $127 before overdraft fees.
He then gains $25 dollars.
So, for the first interpretation:
75-100-(27+35)+25 = $-62
For the second interpretation:
75-(100+35)-(27+35)+25 = $-97
Hope this helped.
Find the area of the polygon
Answer:
154 square units
Step-by-step explanation:
To find the area of a trapezoid, we need to: [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!
Find the value of x in the triangle shown below.
Answer:
58
Step-by-step explanation:
since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)
then just use 180 minus the two angles and you will get x
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
Answer:
Please mark be brainliest and I hoped this helped!
x = 45°
Step-by-step explanation:
Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.
Answer:
Step-by-step explanation:
j
Nathan is facing west. He takes a quarter-turn anticlockwise. What direction is he now facing?
Nathan is facing West and when he takes a quarter-turn anticlockwise, then he will be facing South.
A quarter-turn anticlockwiseA quarter-turn anticlockwise means turning [tex]90^{\circ}[/tex] toward the left side.
How to find the direction?Suppose a circle where Nathan is facing West.
Now when he takes a quarter-turn anticlockwise means [tex]90^{\circ}[/tex] toward the left side, he would end up facing South.
So, the direction in which he is facing is South.
Learn more about anticlockwise here-https://brainly.com/question/16610588
#SPJ2
explain the triangle angle sum property
Answer:
The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.
Step-by-step explanation:
The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?
Answer: The correct answer is A
Step-by-step explanation:
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
Given that,
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex]
We have to determine,
What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?
According to the question,
Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]
To find the translation in h(x) following all the steps given below.
Step1; The function h(x) is vertically stretched by 2.[tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]
Step2; Vertically shift upward by 9,[tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]
Step3; And a horizontal shift to the right 7 units,[tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]
Hence, The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
To know more about Function click the link given below.
https://brainly.com/question/14418346
D= 90* AC=17 cm AD=10 cm CD=?cm
please in need help in this
Answer:
Step-by-step explanation:Idon't say u must have ro mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me....
Answer:
CD=
[tex] \sqrt{189} [/tex]
Step-by-step explanation:
using phaythagorous theorem
CD^2+10^2=17^2
CD^2= 17^2-10^2
CD^2=289-100
CD^2=189
CD=
[tex] \sqrt{189} [/tex]
Can someone help me on this? I really need help badly.
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
What's the largest eight-digit base 2 integer? Express your answer in base 10.
Answer:
[tex]11111111_{2} =255_{10}[/tex]
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111.
[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]
Answer:1111111
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111
PLEASE HELP! ITS DUE TODAAY!
Answer:
center
Step-by-step explanation:
Can I have a thanks, 5 star, brainliest and tell me if right?
Answer:
The answer is option b
Center.
quesnon
11. What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch.
id
O A. 41 in.
B. 14 in.
C. 44 in.
D. 21 in.
Answer:
C. 44 in.
Step-by-step explanation:
[tex] = 2 \times \pi \times r \\ = 2 \times \frac{22}{7} \times 7 \\ = 44 \: in[/tex]
Which pair of numbers is relatively prime?
Answer:
relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
Step-by-step explanation:
Answer:
Two integers
Step-by-step explanation:
Two integers are relatively prime.
Does (3, –8) make the equation y = –x + –5 true?
Answer:
true
Step-by-step explanation:
y = –x + –5
Substitute the point into the equation
-8 = -3 + -5
-8 = -8
This is true so the point is a solution to the equation
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answer:
no
Step-by-step explanation:
Answer: I thinks its D if im wrong sorry
Step-by-step explanation:
I will give brainliest answer
Answer:
The answer would be 12.571428571 units or 12.57units.
13. Nine less than a number is no more than 8 and is no less than 3.
Step-by-step explanation:
I think we can choose the number 5 so
9 - 5 = 4 no more than 8 and less than 3
Answer:
[tex]&#x \in [12, 17][/tex]
Step-by-step explanation:
[tex]3 \leq x-9 \leq 8 \\ \\ \leq x-9 \\ 3+9 \leq x \\ \leq x[/tex]
[tex]&#x-9 \leq 8 \\&#x \leq 8+9 \\&#x \leq 17 \\ \leq x \leq 17[/tex]
[tex]&#x \in [12, 17][/tex]
Please help me with 3 more questions ill give good ratings please!
Answer:
(- 5, - 25 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )
The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?
Answer: After 9 years, the ticket will be $13.79
Answer:
$13.79
Step-by-step explanation:
FV = PV(1+r/100)^9
A =7.50 (1+ [7/100]) ^9
A = $13.79 per ticket
A carnival ride is in the shape of a wheel with the radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive full credit.
Answer:
α = 12°
L = 6.28 ft
[tex]A = 94.25 ft^2[/tex]
Step-by-step explanation:
The wheel contains 30 cars attached to it.
The wheel is in the shape of a circle and a circle has 360°.
Therefore, the angle between any two cars will be:
360 / 30 = 12°
The length of the arc between two cars is given as:
[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]
where α = central angle of sector
R = radius of circle
Given that the radius of the wheel is 30 feet, the length of the arc is:
[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]
The area of a sector is given by:
[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]
Therefore, the area of the sector between any two cars is:
[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]
find the slope of the line that passses thruogh 6,10 and 4,5
Answer:
2.5
Step-by-step explanation:
In the pic below
a car runs 20mph how much does it travel in 1 hour
x^3/x^1/6=x^a value of a in simplest form?
Answer: a = 17/6
Step-by-step explanation:
I will use two laws of indices to solve this question
1. x^a / x^b = x^(a-b)
2. x^a = x^b, => a = b
Using both laws
x³/x^1/6 = x^a
x^(3-1/6) = x^a
3 - 1/6 = a
a = 3 - 1/6
a = (18 - 1)/6 using LCM
a = 17/6
Somebody please help me thank
Answer:
Step-by-step explanation:
[tex]5.003*10^{9}=5,003,000,000[/tex]
5.003* 10⁹ < 5,083,000,000
question in attachment
Answer:
The range within 1 standard deviation :155.12 ,328.38
Step-by-step explanation:
Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]
[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]
Mean =241.75
[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]
Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]
Standard deviation =86.63
Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]
Range within 1 standard deviation :(241.75-86.63,241.75+86.63)
Range within 1 standard deviation :155.12 ,328.38
Hence The range within 1 standard deviation :155.12 ,328.38
A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)
Answer:
see below
Step-by-step explanation:
A Since both equations are in slope intercept form, we can plot the y intercept for each equation and the use the slope to draw lines. The see where the lines intersect.
y = 6x − 4 slope is 6 , y intercept is (0,-4)
y = 5x − 3 slope is 5 y intercept is (0,-3)
They intersect at (1,2)
Answer:
Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.
Part B: The solution is x=1, or (1, 2)
Step-by-step explanation:
Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.
To find the slope, it is the coefficient of the x in the equation, so 6 and 5.
Part B: Set the equations equal to each other
(6x-4)=(5x-3)
x-4= -3
x=1
