Answers
A parabola is the locus of points equidistant from the focus and directrix. This means the distance from the green point is the same to the focus as it is to the directrix. The appropriate choice is ...
... B. 7
Hi there!
I believe your answer would be B. 7. I say this because the focus is the same distance away from the green point as the directrix is away from the point.
Hope this helps!
- Chris
Related Questions
The shorter leg of a right triangle is 12 yards. if the hypotenuse is 20 yards, how long is the other leg?
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If this answer helped you and was correct you can name me "Brainliest." ty :)
What are the roots of x2 + 8x – 48 = 0?
show me the work
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That is a quadratic equation where
a = 1
b = 8
c = -48
We can solve it by using the quadratic formula:
x = [-b +-sq root (b^2 - 4ac)] / 2a
x = [-8 +- sq root (64 -4*1*-48)] / 2*1
x = [-8 +- sq root (256)] / 2
x = [-8 +-16] / 2
x1 = 8 / 2 = 4
x2 = -24 / 2 = -12
A country's people consume 6.36.3 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301301 million.
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A country's people consume 6.3 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301 million.
we know that
1 billion------------------> 1000000000 (Thousand Million)=1 x 10^9
then
6.3 billion pounds--------------> 6.3 x 10^9 pounds
[pounds of candy per person per year]=[6.3 x 10^9 pounds]/[301 x 10^6]
[pounds of candy per person per year]=20.93 pounds per person per year
[pounds of candy per person per month]=20.93/12=1.74 pounds per person per month
the answer is 1.74 pounds per person per month
Is it possible for a composite number to have more than one prime factorization? Yes. I'm I right @dirtydan667
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Can someone help and explain this to me please...?
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Answer:
[j, k] →[9, 5]
[g, h] → [4, 2]
[x, y] → [−4, −4]
Step-by-step explanation:
{4j - 2k = 26
{5j - 2k = 35
−⅘[5j - 2k = 35]
{4j - 2k = 26
{−4j + 1⅗k = −28 >> NEW EQUATION
________________
−⅖k = −2
_____ ___
−⅖ −⅖
k = 5 [Plug this back into both equations above to get the j-value of 9]; 9 = j
__________________________________________________________
{6g + 8h = 40
{−6g + 2h = −20
________________
10h = 20
h = 2 [Plug this back into both equations above to get the g-value of 4]; 4 = g
__________________________________________________________
{4x - 9y = 20
{2x - 6y = 16
−½[4x - 9y = 20]
{−2x + 4½y = −10 >> NEW EQUATION
{2x - 6y = 16
_________________
−1½y = 6
______ __
−1½ −1½
y = −4 [Plug this back into both equations above to get the x-value of −4]; −4 = x
** Tip: Keep using the Elimination Method until you really have to use the Substitution Method. Use the Substitution Method only when one variable is given to you in one of or both equations, meaning that at least one of the equations has to be in Slope-Intercept Form [y = mx + b].
I am joyous to assist you anytime.
(6) Check my answer?
Im putting never because a pentagon has 5 sides, 2 of which are not parallel, while a parallelogram is a 4 sided figure with 2 sets of parallel sides
Are a parallelogram and a pentagon always, sometimes, or never similar?
A) always
B) sometimes
C) never****
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Find the simplified form of the expression. Give your answer in scientific notation. (4 x 10^10)(9 x 10^5) 3.6 x 10^4 3.6 x 10^49 36 x 10^5 3.6 x 10^6 and please explain
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60466176 x 10⁸³
Choose the best decimal to represent 3 5/9
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If the question asks for you to round to the nearest 10th it would be 3.6 and nearest hundredth would be 3.56 and so on.
Conversion of the fraction to decimal gives us; 3.55.....
How to get decimal from fraction?There are different types of fractions such as;
Mixed Fractions
Improper Fractions
Proper Fractions
We are given the fraction as; 3 5/9
Now, this can also be expressed as:
3 + 5/9
We know that 5/9 when converted to decimal gives:
5/9 = 0.55555....
Approximating gives 0.55....
Thus;
3 + 5/9 = 3 + 0.55....
= 3.55.....
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A width of a rectangular painting is 3 in. More than twice the height. A frame that is 2.5 in. Wide goes around the painting. Write an expression for the combined area of the painting and frame
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(h + 5)(2h + 3 + 5) = (h + 5)(2h + 8)
Multiplying this, we have:
h*2h + h*8 + 5*2h + 5*8 = 2h² + 8h + 10h + 40 = 2h² + 18h² + 40
Which of the following shows the graph of a line with a slope of 6/5 and a y intercept of -3?
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Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the slope of the line is 6/5 and y intercept is -3. It means the line must be passes through the point (0,-3).
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Substitute m=6/5 and b=-3 in the above equation to find the equation of line.
[tex]y=\frac{6}{5}x+(-3)[/tex]
So, the equation of line is [tex]y=\frac{6}{5}x+(-3)[/tex].
Substitute y=0 in the above equation to find the x-intercept of the line.
[tex]0=\frac{6}{5}x-3[/tex]
Add 3 on both the sides.
[tex]0+3=\frac{6}{5}x-3+3[/tex]
[tex]3=\frac{6}{5}x[/tex]
Multiply both sides by 5.
[tex]15=6x[/tex]
Divide both sides by 6.
[tex]\frac{15}{6}=x[/tex]
[tex]2.5=x[/tex]
The x-intercept of the line is 2.5. It means the line must be passes through the point (2.5,0).
Since only in graph 1, the line passes through the points (0,-3) and (2.5,0), therefore the graph 1 represents the required line and option 1 is correct.
about how much air would fill a ball with a radius of 16cm
Answers
That's the exact answer. If you divide you get 5,461.3 (with the 3 repeating)
(1.3t3 + 0.4t2 – 24t) – (0.6t2 + 8 – 18t)
What is the additive inverse of the polynomial being subtracted?
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1. You have that the the polynomial being subtracted is 0.6t²+8-18t, therefore, to find the additive inverse of the polynomial, you must multiply it by -1, as following:
(0.6t²+8-18t)
(-1)(0.6t²+8-18t)
2. Therefore, you obtain the following result:
-0.6t²-8+18t
Then, tas you can see, the answer is -0.6t²-8+18t.
Answer:
The first one is B then the second is B and the third question is D
Step-by-step explanation:
Riverside College had 4,439 students enrolled last year. Of those students, 1,049 graduated and left. If there are 1,110 new students this year, how many students are enrolled at Riverside College this year?
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Work:
4,439 - 1,049 = 3,390
3,390 + 1,110 = 4,500
The number of students that are enrolled at Riverside College this year is 4500.
What are the number of students enrolled?Using this formula
Number of student=(Riverside college students-Number of student left)+Number of new students
Let plug in the formula
Number of student=(4,439 - 1,049)+ 1,110
Number of student = 3,390+ 1,110
Number of student= 4,500
Therefore the number of students that are enrolled at Riverside College this year is 4500.
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Yuma needs a singer. Singer A is offering her services for an initial $55 in addition to $20 per hour. Singer B is offering his services for an initial $85 in addition to $5 per hour. When will the two singers charge the same amount of money? The two singers will charge the same amount of money after :blank: hours.What is the answer to the blank.
Answers
Equation for Singer B: 85 + 5x
Make the two equations equal to each other and solve for x.
55 + 20x = 85 + 5x
20x - 5x = 85 - 55
15x = 30
x = 30/15 = 2 hours.
Answer:
At 2 hours both singers will charge the same amount of price.
Answer Check:
Singer A Cost: 55 + 20 (2 hours) = $ 95
Singer B Cost: 85 + 5 (2 hours) = $ 95
Find two consecutive odd intefers whose product is 63
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For example; 1 and 3, 3 and 5, 5 and 7, and so on. Let’s work up to which two consecutive odd integers make a product of 63.
1 x 3 = 3; no
3 x 5 = 15; no
5 x 7 = 35; no
7 x 9 = 63; yes
From the work shown above, we can see that the two consecutive odd integers “7” and “9” make a product of 63.
I hope this helps!
Let's assume 2n-1 the first integer
and 2n+1 the second.
(2n-1)*(2n+1)=64
(2n)²-1=64
4n²=64
n²=16
==>n=4 or n=-4
If n=-4 then 2n-1=2*(-4)-1=-9 and 2n+1=2*(-4)+1=-7
If n=4 then 2n-1=2*(4)-1=7 and 2n+1=2*(4)+1=9
(-9,-7) and (7,9) are the 2 solutions.
What is the exact volume of the sphere? 36.868π m³ 94.46π m³ 147.456π m³ 463.01π m³ Sphere with dotted line extending from middle point of sphere to edge. Line is labeled four and eight-tenths meters.
Answers
The solution is Option C.
The volume of the sphere is given by the equation V = 147.456π m³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the volume of the sphere be represented as V
Now , the equation will be
Let the radius of the sphere be r
The value of r = ( 4 8/10 ) m
So , the radius of the sphere = 4.8 m
Now , Volume of a Sphere = ( 4/3 ) πr³
Substituting the values in the equation , we get
Volume of Sphere V = ( 4/3 ) π ( 4.8 )³
On simplifying the equation , we get
Volume of Sphere V = ( 4/3 ) π ( 110.592 )
On further simplification , we get
Volume of Sphere V = 147.456π m³
Hence , the volume of sphere is 147.456π m³
'
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The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle? a. 48 ft by 20 ft b. 40 ft by 28 ft c. 36 ft by 32 ft d.44 ft by 24 ft
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Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem. A sign on the side of a van is in the shape of a parallelogram. The area of the sign is 330 square inches. The base of the sign is 22 inches long. What is the height of the sign?
Enter your answer in the box.
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[ ]
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I need help with #13 please
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Here's your answer to your question, t⁴⁷.
Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.
I don't understand what I'm suppose to be doing here.
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Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ft³. The height of the smaller cylinder is 5 ft.
What is the height of the larger cylinder?
Please show the work
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The ratio of the heights can be cubed to get the ratio of the volumes
(x/5)^3 = 343/125
(x^3)/(5^3) = 343/125
(x^3)/125 = 343/125
x^3 = 343
x = (343)^(1/3)
x = 7
The height of the larger cylinder is 7 feet
You drive 70 miles per hour but then slow your speed by 15 miles per hour. You then return to your speed of 70 miles per hour. Which expression shows how your speed changed?
A. -70 + 15 + (-15) C. 70 + (-15) + (-15)
B. 70 + 15 + 15 D.70 + (-15) + 15
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Slow your speed means decrease in speed= 70+(-15)=70-15=55 miles/ hr
And then return to speed of 70 miles/hr means add 15 miles to the speed.
We get
70+(-15)+15 =70 miles / hr
Option D is correct.
Answer:Option D is correct
Step-by-step explanation:
I had the same problem and I clicked option D and it was correct
Mr. Franco’s seventh grade science class recorded the daily high temperatures during the month of November. The temperatures are shown in the table What is the lower quartile of the daily high temperatures? a. 26 c. 20 b. 25 d. 28
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To find the lower quartile of the daily high temperatures, arrange the data in ascending order and identify the value that separates the lowest 25%, which is 25.
The lower quartile of the daily high temperatures in Mr. Franco's seventh-grade science class can be found by arranging the temperatures in ascending order and then determining the value that separates the lowest 25% of the data. In this case, the lower quartile is 25.
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form
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(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
(14x2 - 16x3 +14 - 2x4)
then
-2x4-16x3+14x2+14=0--------------> this is the standard form
simplify dividing the entire expression by two
-x4-8x3+7x2+7=0
the answer is
-x4-8x3+7x2+7=0
BRAINLIESTTT ASAP!
The function f(x) = –x^2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)
Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)
Answers
y+116=-x^2+60x
y+116=-1(x^2-60x)
y+116-900=-1(x^2-60x+900)
y-784=-1(x-30)^2
y=-1(x-30)^2+784
we know that
h=-b/2a
h=-60/(-2*1)
h=30
k=-30^2+60(30)-116
k=784
the vertex is at (30,784) this means that the point of symmetry of the parabola is at (30,784), in our context it means that the maximum number of windshields repaired is 30 and the minimum profit will be $784
Part B
x-intercept
to determine the x-intercept we let f(x)=0
thus
0=-2x^2+60x-116
solving for x we get:
x=2 and x=58
this means that when the shop repairs 2 windshields or 58 windshields, they will not make any profits
Which box and whisker plot shows the scores of ten students on a mathematics exam? 89, 78, 93, 90, 75, 81, 91, 80, 89, 79.
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this is my educated guess not for sure so don`t get mad ..........
The length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 36 m , find its area.
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__________________________________________________________
Note: The formula for the area, "A" of a rectangle:
→ A = L * w ;
in which:
A = "area (of rectangle)" ; [in units of "m² " ; that is: "square meters" ] ;
L = length = "(4 + w)" {in units of "meters (m)" } ;
w = width {in units of "meters (m)" } ;
_______________________________________________________
So; " A = L * w " ;
Substitute the known expression for the "length, L" ; & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:
→ A = (4 + w) * w '' ;
______________________________________________________
Note the formula for the perimeter, "P" ;
→ P = 2L + 2w ;
↔ 2L + 2w = P
→ 2L + 2w = 36 m ;
_____________________________________________________
We want to find the "area" , "A" :
_____________________________________________________
Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is: "36" (meters) ;
→ 2L + 2w = 36 ;
→ Let us plug in the values for "Length (L)" & "width (w)" ;
→ 2(w + 4) + 2w = 36 ;
So; (2*w) + (2*4) + 2w = 36 ; Solve for "w" ;
→ 2w + 8 + 2w = 36 ;
→ Combine the "like terms" :
+ 2w + 2w = 4w ;
→ And rewrite:
4w + 8 = 36 ;
Now, subtract "8" from EACH SIDE of the equation:
4w + 8 − 8 = 36 − 8 ;
to get:
4w = 28 ;
Now, divide EACH SIDE of the equation by "4" ;
to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ;
4w / 4 = 28 / 4 ;
→ w = 7 ; → The "width" of the rectangle is: " 7 m " .
Now, we can find the "length" of the rectangle:
The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .
→ L = 11 . → The "length" of the rectangle is: " 11 m " .
___________________________________________________
Now, we can find the area, "A", of the rectangle.
A = L * w = 11 m * 7 m = " 77 m² " .
→ The area of the rectangle is: " 77 m² " .
__________________________________________________
To check our answer:
__________________________________________________
→ " P = 2L + 2w " ;
Given that "P = 36 m" ;
Plug in "36 m" (for "P") ; into the equation ;
and plug in our calculated values for
"length, L" (which is "11 m") ; & "width, w" (which is "7 m") ;
to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
_______________________________________________________
→ 36 m = ? 2L + 2w ?? ;
→ 36 m = ? 2(11 m) + 2(7 m) ?? ;
→ 36 m = ? 22 m + 14 m ?? ;
→ 36 m = ? 36 m ? Yes!
__________________________________________________
The process involves setting up an equation using the given perimeter and the relation between length and width, solving for width, then calculating length and subsequently the rectangle's area, resulting in 77 square meters.
The question involves finding the area of a rectangle given the relationship between its length and width, and its perimeter. First, let's represent the width as w meters. Therefore, the length will be w + 4 meters, since the length is 4 meters longer than the width. The perimeter of a rectangle is calculated as 2(length + width). Given the perimeter is 36 meters, we can set up the equation: 2(w + w + 4) = 36.
Simplifying this equation gives 2(2w + 4) = 36, and further simplification results in 4w + 8 = 36. Solving for w, we subtract 8 from both sides getting 4w = 28, and divide by 4 to find w = 7 meters. The length, being 4 meters longer, is 11 meters.
Finally, to find the area of the rectangle, we multiply the length by the width: Area = length × width = 11m × 7m = 77 square meters. Therefore, the area of the rectangle is 77 square meters.
The cost of a bagel increases from $0.80 to $1.25. What is the percent of increase?
Answers
0.45/0.8=0.5625
0.5625*100=56.25 percent increase
The percent increase is 56.25%
Work is provided in the image attached.
A limousine service charges $35 per day and an additional $0.75 per mile. Which of the following represents the number of dollars the limousine service will receive after a 12 mile ride? (A) (35 x 0.75) + 12 (B) 12 x (0.75 x 35) (C) 35 + (0.75 + 12) (D) 35 + (12 x 0.75) (E) (35 x 12) + 0.75
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Multiply (7x – 6)(8x +3). A. 56x2 – 27x – 18 B. 12x2 – 50x + 8 C. 56x2 – 18 D. 56x2 – 69x + 18
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=(7x – 6)(8x + 3)
multiply first term by first term, multiply outside by outside, inside by inside, last by last
=(7x*8x) + (7x*3) + (-6*8x) + (-6*3)
multiply terms
=56x^2 + 21x - 48x - 18
combine like terms
=56x^2 - 27x - 18
ANSWER: A) 56x^2 - 27x - 18
Hope this helps! :)