The quadratic equation for his flight path is y = a(x² - 32x + 156) where a is a constant if the Blue bird began at location (6,0) and hit the ground at (26,0).
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We know the standard form of a quadratic function:
y = ax² + bx + c
Plug x = 6 and y = 0
0 = 36a + 6b + c ...(1)
Plug x = 26, and y = 0
0 = 676a + 26b + c ...(2)
From the equation (1) and equation (2) find the value of b and c
b = -32a
c = 156a
Plug this values in the standard form of a quadratic equation:
y = ax² + (-32a)x + 156a
y = a(x² - 32x + 156)
The above quadratic equation represents the flight path.
Let's take the value of a = -1
y = -1(x² - 32x + 156) (refer attached picture for the path of the graph)
Thus, the quadratic equation for his flight path is y = a(x² - 32x + 156) where a is a constant if the Blue bird began at location (6,0) and hit the ground at (26,0).
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What letter on the map represents the Coral Sea?
Group of answer choices
B
A
C
D
Answer: A
Step-by-step explanation:
PLSS HELP I WILL GIVE. BRAINLIEST
Sally purchases 3 bags of Doritos for $3.96. What is the unit rate
Answer:
the unit rate is 1.32 per bag
Step-by-step explanation:
divide 3.96 by 3
Answer:
The unit rate or the cost of one bag of Doritos is 1.32
Step-by-step explanation:
3.96 ÷ 3 = 1.32
HELP HELP HELPPPPPPP
Answer:
5/8
Step-by-step explanation:
Answer:I cant do this sorry but good luck!
Step-by-step explanation:
how many vertices AND faces does this shape have ? (NO LINKS)
Answer:
5 faces and 6 vertices
Step-by-step explanation:
who ever gets this will get a brainiest and a good rating
Answer:
201.06192983
Step-by-step explanation:
soz no explanation
PLZZZZZZZZZZZ HELPPP MEEE
Answer:
positve
Step-by-step explanation:
Please help. quickly if possible
Answer:
B. 254.3 m^2
area of a circle= pi×radius^2
A= pi×9^2
18/2=9
The radius is 9.
A= pi*r^2
A=3.14 x 9^2
A=3.14 x 81
A=254.34
Therefore, the answer is B
Margo missed 30% of her free throw shots in a season. During the season she took a total of 90 free throw shots. How many did she miss
Answer:
27
Step-by-step explanation:
Which statements are true for the following expression? (19 + 11) · 15 Check all that are true. All factors are the sum of two terms. The solution is the product of two factors. The solution is the sum of two terms. The second factor is itself the sum of two terms. The first factor is itself the sum of two terms.
IT NEEDS 2 ANSWERS!!!
Answer:
i dont know what the answer choices are but here is what i got
225 and 900
Step-by-step explanation:
(19 + 11) · 15 = 450
450/2 = 225 or 225 + 225 = 450
450*2 = 900 or 450 + 450 = 900
HOPE THIS HELPS!!!
Answer:
225 and 900
Step-by-step explanation:
The objective when solving an equation is to
a- Check the solution
b- Guess and check
C- Isolate the variable
d- Combine like terms
Answer:
the objective when solving an equation is A check the solution
What is the value of x?
A. 7
B. 10
C.18
D. 22
Answer:
B
Step-by-step explanation:
Since all the expressions are on a straight angle (equalling 180) combine the expressions to form on big expression that is equal to 180 and solve.
6x - 10 + 4x + 6 + 7x + 14 = 180
17x + 10 = 180
- 10 -10
17x = 170
÷17 ÷17
x = 10
Hope this helps
When did we learn dis
A trapezoid was broken into a triangle and rectangle.
The area of the rectangle is cm2.
The area of the triangle is cm2.
The area of the trapezoid is cm2.
Answer:
Step-by-step explanation:
Base x Height = Area
10x12=120 the area of the rectangle is 120
area of the triangle is 28
sorry but I don't know the trapezoid
The area of the rectangle is 120 cm².
The area of the triangle is 24 cm².
The area of the trapezoid is 144 cm².
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.
We know, the area of a triangle is (1/2)×base×height and the area of a rectangle is (length×width).
Therefore, From the given information,
The area of the triangle is, (1/2)×4×12 = 24cm².
And the area of the rectangle is, (10×12) = 120 cm².
Therefore, The area of the trapezoid is,
= (24 + 120) cm².
= 144 cm².
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Which expression is equivalent to 4+2(1+3x)?
4 + 8x
24x
6 + 6x
6 + 18x
6 + 6x
Explanation:
4 + 2(1 + 3x) =
4 + 2 + 6x =
6x + 6
Answer:
4+2(1+3x)
4+2(3x+1)
4+6x + 2
4+2 + 6x
6 + 6x
Circle the pair of angles that are supplements. g. 121° 103° 67° 56° 77° ?
Answer: poop
Step-by-step explanation:
Answer:
103 and 77
Step-by-step explanation:
Supplementary angles add up to 180 degrees
PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS GOOD PLEASE
Answer:
A(2, 1)--->A'(2 + 4, 1 - 3) = A'(6, -2)
B(-6, 4)--->B'(-6 + 4, 4 - 3) = B'(-2, 1)
C(-3, -2)--->C'(-3 + 4, -2 - 3) = C'(1, -5)
Please help I need help with #17, 19, and 21
Answer:
Step-by-step explanation:
All the angles in a triangle have to add up to 180 degrees.
#17.)
45+50=95
180-95=85
x=85
#18.)
This one is a little different. The furthest two angles are complimentary which means that they add up to 180 degrees (a straight line.) Once you find the missing angle to that one, you can do the same thing as you did in #17.
180-118=62.
25+62=87
180-87=93
x=93
#21.)
For this one a slightly larger equation is needed. Since we don't have a definite number for the bottom left angle, we have to use x+2 as our number. We first have to find the bottom right angle though.
180-108=72
x+x+2+72=180
2x+74=180
2x=106
x=53
Answer
#17=85
#19=93
#21=53
The original quantity is 10, the new quantity is 16. What is the percent increase?
WILL GIVE BRAINLIST !
Answer: The correct answer is 60%
Step-by-step explanation:
Because you start out with 10 and you increase to 16 and the increase would be 60%.
Answer:
60%
Step-by-step explanation:
ME wanta brainlyist PLWZZZ
PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS GOOD PLEASE
Answer:
Translation 9 units to the right and 6 units up
Because on an x-y-graph, positive x goes to the right, and positive y goes up. Adding the 9 and 6 to the x and y shows both are moving in the positive direction.
Hope this helps :)
A rectangular prism has a base area (length and width) of 31.5cm squared. And a height of 4.7cm. What is the volume of the prism?
Answer:
46.2
Step-by-step explanation:
Answer:
148.05
Step-by-step explanation:
Since the length and width are already multiplied, you only have to multiply the height
31.5 x 4.7 = 148.05 cubic cm
Pls answer and thanks!!
Use addition to solve the linear system of equations.
3x - y = 6
y = x - 4
Answer:
Problem:
Solve 3x−y=6;y=x−4
Steps:
I will try to solve your system of equations.
y=x−4;3x−y=6
Step: Solvey=x−4for y:
Step: Substitutex−4foryin3x−y=6:
3x−y=6
3x−(x−4)=6
2x+4=6(Simplify both sides of the equation)
2x+4+−4=6+−4(Add -4 to both sides)
2x=2
2x
2
=
2
2
(Divide both sides by 2)
x=1
Step: Substitute1forxiny=x−4:
y=x−4
y=1−4
y=−3(Simplify both sides of the equation)
Answer:
y=−3 and x=1
Step-by-step explanation:
Hope this helped you
HELP ME PLEASE IM DYIN ON THIS T -T
Answer:
1). 452. 4
2. 615.8
3). 254.5
4) 380.1
5) 21.2
6). 3653.1
7) 547.4
8) 2808.6
Circumference-
9). 50.3
10) 53.2
I really hope this helps!
Answer:
1. 452.4
2. 615.8
3. 254.5
4. 380.1
5. 21.2
6. 3653.1
7. 547.4
8. 2808.6
9. 50.3
10. 52.2
Hope It Helps! I'm pretty sure they are correct!
PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS GOOD PLEASE
Answer:
The y-axis.
Step-by-step explanation:
Answer: i think it is the X-axis
Step-by-step explanation:
pls answer thanks :)
Answer:
Lemons: 4 12 36
Limes: 2 6 18
Step-by-step explanation:
For every 2 lemons, there is a lime, 4/2 = 2, so for the first one, 6*2 = 12, and the second, 36/2 = 18
The equivalent rations are 4:2, 12:6, and 36:18
PLEASE HELP VERY CONFUSED ON WHERE THE DOTS ARE.
Answer:
(3,3) ( 1,2) (3,1) (-2,-2) (-2 3)
Step-by-step explanation:
have a good day
Step-by-step explanation:
I learned this trick in 4th grade to run and then jump for positives and negatives in the top 2 boxes they do have names I just can't remember them. Sorry if my writings sloppy its hard to do it on a computer.
jackie made bracelets for 8 days. when he was done he had 96 bracelets. write and equation to express how many bracelets jackie made each day.
Answer:
12 bracelets.
Explanation:
If we assume Jackie made the same number of beaded bracelets each day, we can divide the total number of bracelets 96, by the amount of days it took to make all the bracelets, 8. This gives us
[tex]\frac{96}{8}[/tex]=12
We can check the answer by working backwards. Each day 12 bracelets were made. There were 8 days. 12 × 8 = 96 . So for 8 days 12 bracelets were made giving Jackie 96 bracelets.
Angles DEF and PQR are supplementary. Which is the value of x? (x-6) (2x+42) A 18 B. 48 C. 132 D. 42
Answer:
x = 48
Step-by-step explanation:
(x - 6)⁰ + ( 2x + 42)⁰ = 180⁰
x - 6⁰ + 2x + 42⁰ = 180⁰
x + 2x - 6⁰ + 42⁰ = 180⁰
3x + 36⁰ = 180⁰
3x + 36⁰ - 36⁰ = 180⁰ - 36⁰
3x = 144⁰
3x / 3 = 144⁰ / 3
x = 48
Hope this helps, thank you :) !!
What is the M.A.D. of this data set? {2, 6, 6, 7, 9}
Answer:
1.6
Step-by-step explanation:
The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.
Answer:
6 Is the m.a.d of it
Study the expression below.
6 − 2 · 3² + 4
What is the value of the expression?
Answer:
-8
Step-by-step explanation:
6 + 4 = 10
2.[tex]3^{2}[/tex]= 18
10 - 18 = -8