Answer:
The x-axis.
Step-by-step explanation:
This is an ellipse.
In standard form it s x^2/36 + y^2/9 = 0.
When y = 0, x = +/- 6 and when x = 0, y = +/- 3 so the minor axis has length 6 and the major axis has length 12 and runs along the x-axis.
(1 mark)
13.
The time to finish a certain work decreases as the number of worker increases
in number. What kind of proportion is illustrated in the situation?
Answer:
Inverse proportion
Step-by-step explanation:
Inverse proportion: in this type of relation, two quantities proportion such that one decreases and other increases or vice-versa.
So, in the given question when the number of workers increases, time is taken for certain work decreases.
So, Inverse proportion is the correct answer.
What is the midpoint of the segment below?
(3,5)
(-6,-6)
A. (-1.5, -0.5)
B. (0,0)
C. (1.5, 0.5)
D. (0.5, -0.5)
Answer:
The answer is option A.
( - 1.5 , - 0.5)Step-by-step explanation:
Midpoint of a line is given by
[tex] (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
Where ( x1 , y1 ) and ( x2 , y2) are the points
Midpoint of (3 , 5) and ( - 6 , - 6) is
[tex]( \frac{3 - 6}{2} , \: \frac{5 - 6}{2} )= ( - \frac{3}{2} , \: - \frac{1}{2} )[/tex]
We have the final answer as
( - 1.5 , - 0.5)
Hope this helps you.
Answer:
A. (-1.5, -0.5)Step-by-step explanation:
[tex](3,5), (-6,-6)\\Midpoint = [\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ]\\x_1 = 3\\y_1=5\\x_2 =-6\\y_2 = -6\\\\Midpoint = [\frac{3+(-6)}{2} , \frac{5+(-6)}{2} ]\\Midpoint = [ \frac{3-6}{2} , \frac{5-6}{2} ]\\\\Midpoint = [-\frac{3}{2} ,-1/2]\\\\Midpoint = [ -1.5 , -0.5][/tex]
PLEASE HELP!!
Match the expression to its simplified form.
5*-2
1/25
2*5
1/16
2*-4
32
5*3
125
Step-by-step explanation:
5^-2= 1/25 (as when taken up 25 it becomes 5^-2).2^5= 32 (when we multiply 2 for 5 times, we get 32).(2×2×2×2×2)2^-4=1/16 (as when we take up 16 we get 2^-4)5^3=125 (when we multiply 5 for 3 times we get 125)(5×5×5)Hope it helps...
Answer:
The picture should be easier to look at :)
Step-by-step explanation:
Just got it right on edge 2020
Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 7y = 21$
Answer:
√58 or 7.62
Step-by-step explanation:
x-intercept = (7, 0)
y-intercept = (0, -3)
distance = √(-3 - 0)² + (0 - 7)² = √58 or 7.62
Complete the point-slope equation of the line through (1,3) (5,1) y-3=?
Answer:
[tex]\huge\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]
Step-by-step explanation:
Point-slope is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m-\text{This represents the slope.}\\\\(x_1,y_1)-\text{This represents the point used in the equation.}[/tex]
Our goal:We have to complete the point-slope equation of the line through (1,3) (5,1).
--------------------------------------------------------
We have a incomplete equation of the line.
[tex]y-3=m(x-x_1)[/tex]
We need to find the slope of the line, and the value of [tex]x_1[/tex].
--------------------------------------------------------
Finding 'x1':It seems that the value of 3 was used to be [tex]y_1[/tex]. This means that the point [tex](1,3)[/tex] was used for the equation. This means that [tex]x_1[/tex] would have to be 1.
Finding Slope:Slope is rise over run.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (1,3) and (5,1).
[tex]m=\frac{1-3}{5-1}=\frac{-2}{4}=\frac{-1}{2}=\boxed{-\frac{1}{2}}[/tex]
The slope is one-half.
--------------------------------------------------------
We now have enough information to complete the point-slope equation.
[tex]{\left \{ {{x_1=1} \atop {m=-\frac{1}{2} }} \right.}\\\\y-3=m(x-x_1)\rightarrow\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]
Our final equation is:
[tex]y-3=-\frac{1}{2}(x-1)[/tex]
Plz help me -5=-1/6b
Answer:
b = 30
Step-by-step explanation:
-5=-1/6b
Multiply each side by -6 to isolate b
-5 * -6 = -6 * -1/6 b
30 = b
An insurance company is considering implementing a plan based on mileage. The current plan, Plan A, charges a flat rate of $235.90 per month. Plan B charges a flat rate of $160.30 per month plus an additional $0.07 per mile driven the previous month. Using the inequality below, find the number of miles, x, where the cost of Plan B is less than the cost of Plan A. $160.30 + $0.07x < $235.90 A. x < 529 B. x < 5,660 C. x < 1,080 D. x < 2,160
Answer:
plan A
Step-by-step explanation:
The graph below represents which systems of inequalities?
A. Y> 2x+3
y>+3
B. Y<2x+3
y
C. Y<3x+2
y<-x+2
D Y> - 2x+ 3
y>x+3
Answer:
y ≤ x + 3
y ≤ -2x + 3
Step-by-step explanation:
Graph attached shows two solid lines having equal y-intercepts as 3 units.
Since one line passes through two points (0, 3) and (-3, 0),
Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{3-0}{0+3}[/tex]
= 1
Let the equation of the this line is,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, equation of the line having slope = 1 and y-intercept = 3 units,
y = 1.x + 3
y = x + 3
Since, shaded region shown is on the left of the line y = x + 3
Therefore, y ≤ x + 3 will be the inequality with shaded area in green.
Slope of the second line passing through (0, 3) and (1.5, 0)
m' = [tex]\frac{3-0}{0-1.5}[/tex]
= -2
Therefore, equation of the second line will be,
y = (-2)x + 3
y = -2x + 3
Since shade area (In yellow) is below the given solid line, equation of the inequality will be,
y ≤ -2x + 3
can someone help please? i’ll give brainliest
Answer:
Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.
Step-by-step explanation:
Let's define toppings as [tex]t[/tex].
If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.
[tex]9.25 + 0.75t[/tex]
If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).
9.25+0.75t ≤ 13.75
Now lets solve the equation.
We can subtract 9.25 from both sides, which gets us
0.75t ≤ 4.5
Now we can divide both sides by 0.75 to isolate t.
t ≤ 6
So, the maximum number of toppings you can order is 6.
Hope this helped!
Answer:
6
Step-by-step explanation:
so default for pizza is 9.25
and toppings vary depending on number so 0.75x
so I guess 9.25+0.75x<=13.75-variable
equation-9.25+0.75x=13.75
solve to get 0.75x=4.5
x is 6 not sure
Line p conatians point (6,-5) and is perpendicular to line q. The equation for line q is y=3x+5. Write the equation for line p.
Also need the slow of line p
Answer:
y + 5 = (1/3)(x - 6)
Step-by-step explanation:
Line p is perpendicular to line q, and therefore the slope of line p is the negative reciprocal of the slope of line q: -1/3.
Starting with the point-slope formula y - k = m(x - h), we get
y + 5 = (1/3)(x - 6)
What is the inverse of the function f(x)=-\dfrac{1}{2}(x+3)f(x)=− 2 1 (x+3)f, left parenthesis, x, right parenthesis, equals, minus, start fraction, 1, divided by, 2, end fraction, left parenthesis, x, plus, 3, right parenthesis
Answer:
The inverse of the function is
-2x-3
Step-by-step explanation:
The inverse of the function f(x) = -\dfrac{1}{2}(x+3) is f(x)⁻¹ = -2x - 3
What is the inverse of a function?The inverse of a function is a function that gives us the actual value for which the desired function has a given result.
The given function is:
[tex]\mathbf{ f(x)=-\dfrac{1}{2}(x+3)}[/tex]
To find the inverse, we need to follow the following steps
replace the role of f(x) by y;[tex]\mathbf{ y=-\dfrac{(x+3)}{2}}[/tex]
Swap x and y variables[tex]\mathbf{ x=-\dfrac{(y+3)}{2}}[/tex]
Solve for y;2x = - (y + 3)
2x = -y - 3
y = -2x - 3
Writing back in inverse notation, we have:
f(x)⁻¹ = -2x - 3
Learn more about the inverse of a function here:
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It is estimated that there are deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells.
Answer:
answer is a
Step-by-step explanation:
i took the exam
Find the slope of the line graphed. A)1/2 B)1 C)2 D)4
Answer:
Slope is 2. Y-intercept is -2
Step-by-step explanation:
To find slope look how many it goes up and right. So 2 up and 1 right will give a slope of 2. The y-intercept is -2 because it touches the y-axis.
Answer:
2
Step-by-step explanation:
To find this you would just look at two points that the line will cross. The 2 pairs or coordinates that are the most obvious to me are (0,-2) and (1,0) so then we would do an equation that is [tex]y_{2}[/tex] (which is the second y in this case 0) minus [tex]y_{1}[/tex](First y in this case -2) over or / [tex]x_{2}[/tex](second x in this case 1) minus [tex]x_{1}[/tex](first x in this case 0) so when we plug in into the equation is is [tex]\frac{0-(-2)}{1-0}[/tex] which will be simplified to [tex]\frac{2}{1}[/tex] so the slope would be 2.
Another simpler way to solve this is to is just to count the distance between the 2 slopes so we would go up 2 to get to 0 and over 1 which would be [tex]\frac{2}{1}[/tex] or 2.
Use the formula S = 40,000(1.06)' to calculate your salary after 4 years. Round your answer to the nearest dollar.
a. $42,400
b. $44,944
C. $47,641
d. $50,499
Answer: 50,499
Step-by-step explanation:
Since you are calculating the salary after 4 years, 4 would be the value of T. you then just solve the equation, so because of PEMDAS you plug in 1.06 to the 4th and then multiply it by 40,000, resulting in 50,499.
please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)
The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.
So the line we want has equation
r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)
where t is any real number.
The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).
What is a vector equation?A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.
Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.
r(t) = q*t + p
r(t) = (14, -8)t + (-4, 12)
r(t) = (14t - 4, 12-8t)
where t is any real number
Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).
Learn more about vector equations on:
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Right isosceles triangles are constructed on the sides of a 3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is [tex]\frac{X+Y}{Z}[/tex]
Answer:
1
Step-by-step explanation:
because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5
the area of X is 4.5
the area of y is 8
(8+4.5)/(12.5) = 1
Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.
Answer:
B
Step-by-step explanation:
need to the answer ASAP
Answer:
321
Step-by-step explanation:
Write an equation and solve it to answer each question:
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.
You have to Answer like this:
If there are x nickels, then the equation is______
The number of nickels is_____
the number of dimes is______
Answer:
there are 25 nickels and 30 dimes
30 POINTS! Arrange the steps to solve this problem. 9 steps.
Answer:
1. Multiply the first equation by 3
3(x + y ) = 3(-2)
3x + 3y - 6
2. Add 3x + 3y = - 6 ( obtained in step 1) to
2x - 3y = - 9 (given) and solve for x
3. x = - 3
4. Substitute the value of x in the first equation
( x + y = - 2) to get y = - 1
5. The solution for the linear system of equations is ( - 3 , 1)
Hope this helps you
What is the volume of the following rectangular prism?
Answer:
Step-by-step explanation:
The formula is V= w h l
So it’s be V= 16 1/4 x 1/2
V= 16.25 x .50
V= 8.125
V=8
Plz help meeeeee 9q=81
Answer:
q=9
Step-by-step explanation:
9q=81
Divide each side by 9
9q/9=81/9
q = 9
Answer:
Q=9
Step-by-step explanation:
SO BASICALLY TO REMOVE THE 9 FROM ONE SIDE WE DIVIDE BOTH SIDES OF THE EQAUTION BY 9
9Q/9=81/9
WHICH SIMPLIFIES TO
Q=9
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
HELP FIRST GET BRAINLLEST Which of the statements below are true? Select all that apply. A) Joan's friends did better on the test than Anne's friends B) Anne's friends did better on the test than Joan's friends C) The lowest score among both groups was 78 D) The highest score among both groups was 93
Answer:
I think The answer is B
Step-by-step explanation:
The anne's friends studied hard and got high marks higher than john's friends
Answer:
A) True
B) False
C) True
D) True
Step-by-step explanation:
Which equation is correct regarding the measure of ∠MNP?
Answer:
I need the numbers
Step-by-step explanation:
Answer:
m∠MNP = (x – y)
m∠MNP = (x + y)
m∠MNP = (z + y)
m∠MNP = (z – y)
is 5 rational or irrational
Answer:Rational
Step-by-step explanation:
Every integer is a rational number, since each integer n can be written in the form n/1.
Answer:
Rational
................
Select the correct answer from each drop-down menu. At a business conference, there were 10 social workers, 16 doctors, 5 lawyers, and 2 journalists. If a person is picked at random from the entire group, it is to be/likely/unlikey/niether. be a lawyer, and it is to be a doctor.
Answer:
If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
Step-by-step explanation:
I honestly don't know the answer and that the person above me makes no sense.
he said "If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
WHAT IS THE ANSWER TO THE DOCTOR PART???
Write a word phrase that represents x + 5.
Answer:
5 added to a number, x.
Step-by-step explanation:
I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)
Answer:5 added to a number, x
Step-by-step explanation:
What is the length of BC given that figure ABCD is a rectangle
A. 11
B. 8
C. 16
D. 22
Answer:
C, 16
Explanation:
A rectangle has 4 sides, two of which have equal side lengths (the ones across from each other.) BC is equal to AD because of this rule. Hope this helps!
The measure of length BC of the rectangle will be 16 units. Then the correct option is C.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.
From the diagram, we have
AD = BC = 16 units
Then the correct option is C.
More about the rectangle link is given below.
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Which is the graph of g(x) = [X + 3]
Answer:
The "top center" one
Step-by-step explanation:
-y=x+3
-Use the slope-intercept form to find the slope and y-intercept. (y=mx+b)
m=1 b=3
-Slope: 1 , y-intercept: 3
X | y
-3 | 0
0 | 3
Then you can use a graphing calculator if you'd like !
please help attachment
Answer:
v = 7
Step-by-step explanation:
a. v = 5x + 2y
= 5 × 3 + 2 × -4
= 15 + -8
= 7
Sorry I know only the A one anyways , hope this helps :)
Answer:
Step-by-step explanation:
a v = 5x+ 2y = 5*3 + 2*-4 = 7
b 3p(p+5) = 3p^2 =15p
c 4k = 44
k=44/4 =11
i hope the person who had deleted my answer this much explanation is only required if not please say so that I can correct myself by ellaborating ...