Answer:
There are 6 smaller bars
What object is defined using a directrix and a focus
A. Perpendicular Bisector
B. Parabola
C. Circle
D. Angle Bisector
Answer: B
Step-by-step explanation:
A parabola is defined using both a directrix and a focus.
To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”
Hope this helps! :)
I’m stuck between two answers and wanted to know what you guys think is right?
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is y = mx + b
When we count rise over run, we get 1/1, or just 1. Also, the line is rising from left to right, so it is a positive slope.
y = x + b (you don't have to put 1x)
The line intersects the y-axis at 3
y = x + 3
I hope this helps :))
Answer:
y= -x+3
Step-by-step explanation:
looking at the graph, you can see that the equation is a negative, so the slope will be negative. On the Y-axis, the line goes through "3" making the y-intercept. The equation would be y=-3x+3, but you answer only give you y= -x+3
£60 is divided between Richard, Stephen & Bridget so that Richard gets twice as much as Stephen, and Stephen gets three times as much as Bridget. How much does Richard get?
Answer: £18
Step-by-step explanation:
let Bridget get £x,
Stephen gets 3x, Richard gets 2(3x)
Equation is x + 3x + 6x = 60
10x = 60: x = 60/40 = 6
Bridget gets £6
Stephen gets 3x = 3 x 6 = £18
Richard gets 2(3x) = 2 x 18 = £36
Please help. 10 points and brainliest.
Answer:
D
Step-by-step explanation:
sqrt(20*x^6*y^5)
sqrt(5*2*2*x^3*x^3*y^2*y^2*y^1)
2x^3*y^2*sqrt(5y)
this is D
Misty, Tina and Jen walk into a store. The manager places his hand on Tina’s shoulder and tells her, “You didn’t win the door prize.” Then he looks at Jen and Misty and says, “But one of you did.” What is the probability that Jen has won?
A. 50%
B. 25%
C. 75%
D. 100%
Answer:
50%
Step-by-step explanation:
3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.
Answer:
A.50%
Step-by-step explanation:
"Two complementary angles are not congruent."
Answer:
40 and 50,20 and 70
Step-by-step explanation:
complementary angles are angles that added equal to an angle of 90 degrees and it says they are not congruent so the two angles are diferent
the given statement "Two complementary angles are not congruent" is not true. The counter-example is 45°+45°=90°.
The given statement is "Two complementary angles are not congruent."
What are complementary angles?Two angles are Complementary when they add up to 90°.
Now, if we add 45°+45°=90°
Therefore, the given statement "Two complementary angles are not congruent" is not true. The counter-example is 45°+45°=90°.
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Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?
The three consecutive odd integers : 7, 9, 11
Further explanation
Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
• 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
• 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
• 3. constants
is a fixed value, can be a number
• 4. arithmetic operations
+ , - , : , x
integer number: numbers consist of positive, negative and 0 numbers
Odd number: Any integer that cannot be divided by 2.
The last digit is 1, 3, 5, 7 or 9
Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers
Then consecutive odd numbers can be symbolized:
x, x + 2, x + 4, x + 6, x + 8, etc.
For example, 3 consecutive odd numbers are:
x + 4, x + 6, x + 8
the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:
(x + 8) + 2 (x + 4) = 25
So the solution:
x + 8 + 2x + 8 = 25
3x + 16 = 25
3x = 9
x = 3
So the smallest number is:
= x + 4
= 3 + 4
= 7
or
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.
Answer:
The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Step-by-step explanation:
The problem asks to use x to represent the smallest of the three integers.
Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.
Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.
The three odd integers are
x, x + 2, x + 4
The problem then states "the sum of the largest and twice the smallest is 25."
The largest one is x + 4.
Twice the smallest is 2x.
Their sum is 2x + x + 4.
That sum equals 25.
2x + x + 4 = 25
3x + 4 = 25
3x = 21
x = 7
The smallest integer is 7.
Then x + 2 = 7 + 2 = 9,
and x + 4 = 7 + 4 = 11.
Answer: The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Given ΔXYZ is isosceles, what is XZ if the perimeter is 107 units and XZ = XY?
Answer:
well considering it is length it could be anything i think
if XZ= 45
then XY could also be 45
and then YZ would be 17
I NEED HELP REALLY BAD PLEASE ANSWER THIS QUESTION AS SOON AS POSSIBLE!!!! Which of the following expressions represents the distance between 3/4 and 2
A. 3/4 - 2
B. 2-(-3/4)
C. None Of the above
this is on khan academy and I really need help
A: 3/4 - 2.
Hope this helped!
Answer:
its A
Step-by-step explanation:
help please i did a problem like this and got it wrong i honestly think im confusing the closed and open dots. can some one just please help
Answer:
It should be a "closed" dot facing the left side (towards the negative numbers)
Step-by-step explanation:
The graph will be a line segment with endpoints -1 and 1. Both endpoints are closed dots. This is to indicate we include the endpoints as part of the solution set. Everything between the endpoints is shaded in.
The answer in interval notation is [-1, 1]. The square brackets tell the reader to include the endpoints. This describes the interval from -1 to 1, inclusive of the endpoints.
How do we know to include the endpoints or not? By looking at the "or equal to" portion. If that is present, then we include the endpoint; otherwise, we exclude.
The original inequality [tex]|x| \le 1[/tex] is the same as [tex]-1 \le x \le 1[/tex]
The general rule is [tex]|x| \le k[/tex] turns into [tex]-k \le x \le k[/tex] for some positive number k.
If a vendor sells an item he bought for Rs. 500 such that he earns a profit of 20%, determine the selling price of the item.
Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays every sixth day. All of them were at the tennis court on Wednesday, July 18th. What will be the next day, when all three of them will be at the court together?
Answer:
Wednesday (9 weeks later) = 10th October.
Step-by-step explanation:
We label the days with the initials of the names.
M= 4
D = 7
B = 6
LCM of 6 +7 = 42
LCM of 6+7 + 4 = 84
We find 84 is the amount of days we need to add on to july 18th
We first find the weeks 84/7 = 9 weeks.
As Wednesday July 18th is exclusive it would be 84 days after this event.
18+ 84 = 102 days.
31 days in july = 31
31 days in Aug = 31
30 days in Sept = 30
= 92
102-92 = 10
We now know date is Wednesday 10th October
We can check 84 days = 9 weeks
13 days in July makes 31st july
31 days in Aug makes 31st Aug
30 days in Sept makes 30th Sept
= 74 days + 10 days = 84
10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.
Answer:
Wednesday, October 10
Step-by-step explanation:
David play every 7 days, so since the first day is a Wednesday, David plays every Wednesday. We need to find the smallest common multiple of 4 and 6 that is also a multiple of 7. Since 4 * 3 = 12 and 6 * 2 = 12, we see that all multiples of 12 are also multiples of 4. We list the multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, ...
The smallest multiple of 12 that is a multiple of 7 is 84.
The first day all of them play together after July 18th is 84 days later.
84/7 = 12
We look in a calendar, and we see that exactly 12 weeks after July 18 is Wednesday, October 10.
Answer: Wednesday, October 10.
NEED HELP. as soon as possible
2. Daniel paid $22 for a water bottle. This amount includes 5% tax. What was the cost of the item before tax?
Answer:
$20.9
Step-by-step explanation:
100%=22
95%=x
95x22=2090/100=20.9
Answer:
$20.95 (rounded)
Step-by-step explanation:
To solve this, you need to first make an equation where x is the original cost before tax. So it would be 22=1.05x. You know it is 1.05 because 1 is the "whole" original cost and 0.05 is the 5% tax in decimal form. To solve the equation, you divide both sides by 1.05 to get x=20.95
A car rental company charges x dollars to rent a truck, plus y dollars per kilometre. Find x and y if the rental charge is $90 for 100 km, and $110 for 150 km.
Answer:
X=50 dollars Y=0.4 dollars
Step-by-step explanation:
Starting with the two equations:
$90= X(truck cost)+ Y(cost per km)*100km
and
110=X+Y*150
we solve the first equation for X: X = 90-100Y
and plug X into the second equation: 110=90-100Y+150Y
add like terms: 20=50Y
so Y = 2/5 or .4
Plug Y into the first equation: 90= X+100(.4)
Evaluate: 90= 40+X so X= 50
Answer:
X = 50 dollars
and Y= o.4 cents
Step-by-step explanation:
Help please I need the answer
____________________________________
Hey!!
Solution,
Diameter (d)=17 cm
Radius(r)=17/2=8.5 cm
Circumference of circle=?
Now,
Circumference of circle=2 pi r
=2*3.14*8.5
=53.38 cm
The right answer is 53.4cm
Hope it helps
Good luck on your assignment
_________________________________
simplify x2-9/x2+x-12
(x + 3) (x² - 2x - 6)
______________
x
Answer: (x^4 + x^3 - 12x^2 - 9 ) / x^2
Step-by-step explanation:
x^2 - 9/x^2 +x - 12
(x^2 - 9 + x^3 - 12x^2)/x^2
y= 3x+7
y = -2x - 3
Whats the x and y for the solution
Answer:
x=-2, y=1
Step-by-step explanation:
y=3x+7
y=-2x+3
Set the two equations equal to each other:
3x+7=-2x-3
Add 2x to both sides:
5x+7=-3
Subtract 7 from both sides:
5x=-10
Divide both sides by 5:
x=-2
Plug back into one of the original equations to find y:
y=3(-2)+7=-15+7=1
Hope this helps!
please answer this questions
Answer:
Step-by-step explanation: since ab||ef, line cd is a transversal
x+35°=85° (alternate interior angles)
x=85-35
x= 50°
taking bd as a transversal
y= 35° (alternate interior angles)
taking bz as a transversal
y+z+40°= 180° (interior angles on the same side of the transversal)
z+35°+40°= 180°
z+75°= 180°
z= 180-75
z= 105°
PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)
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Answer:
x = 50 degree found by working out c and d
y = 35 degree
z = 105 degree
Step-by-step explanation:
c is solved 180-85 = 95 as all straight lines equal (180)
d is solved 85-35 = 50 as it is alternate of c (85)
x is found 85 - 35 = 50 degree as it is part of d and not supplementary
y is found 180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.
z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle
A bakery is 10 yards wide and 17 yards long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $10.82 per yard. How much will the baker's shelf cost?
Answer:
$584.28
Step-by-step explanation:
first, add up the yards around the perimeter of the bakery. 10 + 10 + 17 + 17 = 54. Then, multiply 54 by 10.82 to get the cost of the shelf.
54 x 10.82 = 584.28
In the diagram below BD is parallel to AE, BE bisects angle ABD, angle E is 37 degrees, angle BFE = 117, what is angle C
Wyatt uses 3.15 cups of flour in a
recipe that makes 9 shortcakes. Cora
uses 2.4 cups of flour in a recipe that
makes 8 shortcakes. How much more
flower per shortcake is needed for
Cora’s recipe?
Answer:
Step-by-step explanation:
Cora uses 0.3 cups of flower per cake. Wyatt uses 0.35 cups of flower per cake. I do not know what else you are asking for, but Cora does use 0.05 less cups of flower than Wyatt.
To find this all I did is divided flower by cakes to get flower per cake. I hope this helps!
Answer:
1/20 cups
Step-by-step explanation:
Wyatt
3.15/9=315/900=7/20Cora:
2.4/8=24/80=3/10The difference:
7/20-3/10=7/20-6/20=1/20 cups12. (-/10 Points)
DETAILS
HARMATHAP12 1.1.053.
Using data from 2010 and projected to 2020, the population of the
10.0y - 4.55x = 581
where x is the number of years after 2000.1
(a) What is the projected population in 2028?
y =
(b) In what year is the population predicted to be 71.75 million?
Simplify (or FOIL) the following binomial expression (x−2)(x−2)
Answer:
x^2-4x+4
Step-by-step explanation:
x^2-2x-2x+4
=x^2-4x+4
1
Lola created circular place mats out of fabric. If the diameter of each place mat measures 15.2
area of each place mat?
A.
181.46 square inches
B.
725.83 square inches
C.
95.5 square inches
D.
47.75 square inches
Reset
Submit
Answer: 181.46 square inches
Step-by-step explanation:
Area = pi ˣ r squared
Since the radius (half of diameter) is 7.6 inches, then it should equal to 181.46 square inches.
Please simplify (y^-5)^4
Answer:1/y^20
Step-by-step explanation:
Can someone help me on this?
Answer:
the triangle PQR is similar to RTS
Step-by-step explanation:
QR : RT
2 : 6
this 1:3 ratio is also seen in PR (4) with RS (12)
equation of a line pass through origin in called
The equation of a straight line with gradient m passing through the origin is:
[tex]\displaystyle y=mx[/tex]
The line passes through the origin, so the y-intercept is [tex]0[/tex]
[tex]\displaystyle y=mx+b[/tex]
[tex]\displaystyle y=mx+0[/tex]
[tex]\displaystyle y=mx[/tex]
Find the area of the shaded triangle.
The area of the shaded triangle would be 12 ft.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The area of the triangle is the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
Area of a triangle is 1/2 x base x height.
The base of the shaded triangle is 3 ft. the height is 8 ft.
Area = 1/2 x 3 x 8
Area = 12 square feet.
so the answer is 12.
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Explain how to angles can be supplementary angles?
Answer:
if the sum of all the angles equal 180
Step-by-step explanation: