Answer:
d) The equation of the standard parabola
x² = 6 y
Step-by-step explanation:
The given directrix is y= -31.5
The equation of the parabola is of the form x² =4 a y
Given focus (0,1.5) , Here a= 1.5
The equation of the standard parabola
x² = 4 a y
x² = 4 (1.5)y
x² = 6 y
Conclusion:-
The equation of the standard parabola
x² = 6 y
The equation that represents the parabola shown on the graph is x∧2 = 6 y
What is a parabola?
A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.
The graph shows a vertical parabola opened upwards with the vertex at the origin.
How to determine the equation
The equation of the parabola from the graph is;
x∧2 = 4ay
The equation of the directrix;
y = -a = -1. 5
Thus, the value of a = 1.5
Then, substitute the value of a = 1.5 in the equation deduced from the graph
x∧2 = 4 × (1.5) × y
x∧2 = 6 y
Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y
Learn more on parabola here:
https://brainly.com/question/4061870
#SPJ2
If the measure of angle 1 is (3x-4)º and the measure of angle 2 is (4x+10), what is the measure of angle 2 in degrees?
HELP !!!!!!!!!!!!!!!!!!!! Plz !!!!!!
Answer:
Angle 2 measures 58°
Step-by-step explanation:
Sum of all three angles formed = 180
Because the sum of angles on a straight line is always 180
Angle 1 =3x-4
Angle 2 = 4x+10
Angle 3= 90° (given)
So,
90+3x-4+4x+10=180
(4x+3x)+(90+10-4)= 180
7x+96=180
Bring 96 to the other side, making it negative,
7x = 180-96 = 84
x = 12
Therefore angle 2
= 4x+10
= (4)(12)+10
=48+10
=58°
There are 650 toothpicks in a regular-sized box. If a jumbo box is made by tripling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?
Answer: 1950 is how many it will hold.
Step-by-step explanation:
Simplify 16-3(8-3)2÷5
Answer:
10/1 = 10
Step-by-step explanation:
1) Subtract: 8 - 3 = 5
2) Multiple: 3 * the result of step No. 1 = 3 * 5 = 15
3) Multiple: the result of step No. 2 * 2 = 15 * 2 = 30
4) Divide: the result of step No. 3 : 5 = 30 : 5 = 6
5) Subtract: 16 - the result of step No. 4 = 16 - 6 = 10
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
which expression is equivalent
Answer:
a^9*b^6
Step-by-step explanation:
a^(-8) b 1 1
-------- = a^(-3), and ----------- = --------- Their product is --------------
a^(-5) b^(3) b^2 a ^3*b^2
This is the algebraic expression inside the parentheses. We must now take
the negative 3rd power of this result.
(a^3*b^2)^3 = a^9*b^6
will award most brainliest need help pls (due today)
Answer:
m∠A = 24°
Step-by-step explanation:
m∠A = m∠B
3x-12 = 2x
-2x. -2x
x-12 = 0
x = 12
3(12)-12 = 24
2(12) = 24
11 (12) = 132
132 + 24 +24 = 180
U.U AYUDa porfis porfis t.t
Answer: a+b = 12
Los triangulos verdes son semejantes entre si por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. De igual forma los triangulos azules son semejantes por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. En general el factor de proporcionalidad de los triangulos es 1:2 siendo en ambos casos el grande el doble del pequeño. Por tanto
a+2 = 2(3)
a=4
10 = 2(b-3)
b=8
Luego a+b = 12
What is the y-intercept of the line described by the equation y=3x+5
Answer:
[tex]5[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
Where [tex]b[/tex] is the y-intercept.
[tex]y=3x+5[/tex]
[tex]b=5[/tex]
Answer:
-3 is the slope
5 is the intercept
as an estimation we are told 5 miles is 8km. Convert 84 km to miles
Answer:
52.195 miles
Step-by-step explanation:
84 km to miles is 52.195 miles
Write the following inequalities in slope interact form -12x-2y> -42
Answer:
y < -6x+21
Step-by-step explanation:
-12x-2y> -42
Add 12 x to each side
-12x+12x-2y>12x -42
-2y > 12x-42
Divide by -2 remembering to flip the inequality
-2y/-2 < 12x/-2 -42/-2
y < -6x+21
This is in slope intercept form
What is the difference? Negative 6 minus (11) –17
Answer:
-34
Step-by-step explanation:
-6-(11)-17
-6-11-17
-34
The length of the sides of a triangle from a G.P. The length of the longest side exceeds that of the shortest side by 9cm. The perimeter of the triangle is 61cm. Find the length of each side.
Take sides as [tex] a, \: ar, \: ar^2[/tex]
Please help! Correct answer only please! I need to finish this assignment by today.
You spin the spinner once.
What is P(factor of 6)?
Write your answer as a percentage.
___%
Answer:
100%
Step-by-step explanation:
The factors of 6 are 1, 2, 3, and 6. Since all of the numbers on the spinner are a factor of 6, there is a 3/3=100% chance of that. Hope this helps!
Answer:
100%
Step-by-step explanation:
I just took the test on edgenity
solve the equation
x^2 + 4x - 7
By completing the square
give answer correct to two decimal places.
( p.s the answer is not -5.32 or 1.32 )
Answer:
x = 1.32, -5.32
Step-by-step explanation:
x^2 + 4x - 7
Set equal to zero
x^2 + 4x - 7 =0
Add 7 to each side
x^2 + 4x =7
Take the coefficient of x and divide by 2
4/2
Square it
2^2 =4
Add to each side
x^2+4x+4 = 7+4
(x+2)^2 = 11
Take the square root of each side
x+2 = ±sqrt(11)
Subtract 2 from each side
x = -2 ±sqrt(11)
x=1.31662
x=-5.31662
To 2 decimal places
x = 1.32, -5.32
Why does no one answer my questions in Brainly? If you're good at math, please look at my recent questions and answer them if you know it. Now, below is one of the questions that I am struggling with. Please help!
Answer:
1st one: 7920 second: 792
Step-by-step explanation:
First way: you can use a calculator and plug in the values
Second way: you can use the formula for combination and permutation.
Permutation: 11!/ (11-4)!
Combination:12!/(12-5)!*5!
NOTE THAT: 5!= 5*4*3*2*1
HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. Obtuse
Step-by-step explanation:
Supplementary Angles: either of two angles whose sum is 180°
Adjacent: have a common side, a common vertex, and don't overlap
I'll send a screenshot of the problem. I really look forward to an answer!
Answer:
a. 65
b. D
Step-by-step explanation:
The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65
D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone
Par 3 find the missing sides for the 30 60 90 triangles. Please show work for each.
7
tan(60) = h/40
h = 40 x tan(60)
h = 40√3
cos(60) = 40/r
r = 40/cos(60)
r = 80
8.
tan(60) = p/82
p = 82 x tan(60)
p = 82√3
cos(60) = 82/t
t = 82/cos(60)
t = 164
9.
tan(60) = 22√3 /x
x = 22√3 /tan(60)
x = 22
sin(60) = 22√3 /k
k = 22√3 / sin(60)
k = (20/3)√3
G(x)=-2x-9 what is g(-7)
Answer:
g(-7)=5
Step-by-step explanation:
-2(-7)-9
14-9=5
Answer:
5
Step-by-step explanation:
G(x)=-2x-9
Let x = -7
g(-7) = -2(-7) -9
= 14 - 9
= 5
Malik’s solution to the equation , when , is shown below.
Question: What is the Question?
!!! Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3. Write your answer in the form of the expression on the right of the sum of cubes identity. CLIP IN QUESTION
Answer:
(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)
Step-by-step explanation:
A sum of cubes is factored in general as
a³ + b³ = (a + b)(a² - ab + b²) , thus
8[tex]x^{6}[/tex] + 27y³
= (2x²)³ + (3y)³ with a = 2x² and b = 3y
= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)
= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)
Answer: Edmentum/plato
Step-by-step explanation:
What is the scale factor of this dilation?
5
В
3
e
3
A
5
Answer:
A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).
Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending? pls can someone help me
The calculation 18/6=108 is not the right representation.
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: One of the option as 18/6=108
But in the question Jenna buys 6 new shirts at $18
Thus the total cost of the shirts is 18*6=108
But 18/6=3
Thus this expression is not the right calculation.
Hence, The 18/6=108 is not the right representation.
Learn more about BODMAS rule here:
https://brainly.com/question/29795897
#SPJ2
A. - 8/5
B. 5/8
C. - 5/8
D. 8/5
Answer:
5/8
Step-by-step explanation:
To find the slope, use the formula
m = (y2-y1)/(x2-x1)
= (2 - -3)/(6 - -2)
= (2+3)/(6+2)
= 5/8
Answer:
B
Step-by-step explanation:
what are solutions for |x+4|=3x-5
Answer:
Step-by-step explanation:
Evaluate the following expression
(-3)-2
Answer: 2+3
Step-by-step explanation:
Answer:
Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.
In this case, -3 and -2 are integers that are being added.
if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change
thus, (-3)-2 = -5
100 + x = 50 ( find x)
Just subtract 100 - 50 and you get x = 50
Answer:
x = 50
Step-by-step explanation:
100 -50 = 50
50+50=100
Have a wonderful day and stay safe!
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)
Answer:
a
Step-by-step explanation:
The equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The slope of the equation is 3. Then the equation of the line is given as,
y = 3x + c
The equation of the line is passing through the point (-3,-5), then the equation of line will be
y = 3x + c
–5 = 3(–3) + c
–5 = –9 + c
c = 9 – 5
c = 4
Then the equation of the line will be
y = 3x + 4
Thus, the equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4.
Then the correct option is A.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ5
A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?
A rectangle with a length of l and width of w. P = 2 l + 2 w. A hexagon with side lengths of s. P = 6 s.
Answer:
The perimeter of the hexagon is equal to 36 units
Step-by-step explanation:
Let
x-------> the length side of the hexagon
L-----> the length of the rectangle
W-----> the width of the rectangle
we know that the perimeter of the hexagon is equal to the perimeter of the rectangle is equal to so
-------> equation A
-------> equation B
-------> equation C
Substitute equation B and equation C in equation A
Solve for L
Find the value of x
Find the perimeter of hexagon
Answer:
36 units
ur welcome sis
Step-by-step explanation:
Pleaseee answer fast!!!! Solve the system of equation: y= 7/2x-3 and y= 7/2x +3
Answer:
The answer is no solution because these two lines have the same slope, meaning they are parallel. Parallel lines never intersect.
Answer:
No solution.
Step-by-step explanation:
Because y equals 7/2x-3, and 7/2x+3, we can say that both of these equations are equal to each other.
Thus, we have 7/2x-3=7/2x+3
(7/2)x-6=(7/2)x
x-6=x
-6=0
This is a false statement, so therefore this system of equations has no solution.
However, you can clearly see this as these lines are parallel lines as they have the same slope, 7/2. The solution to a system of equation is the intersecting point, but as we know about parallel lines they never intersect!
Hope this helps!
