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 is the range of the function f(x) = 2 – 2 when the domain is {0, 2, 4}? O {-1, 2, 14} {3, 6, 8} {-2, 2, 6) All real numbers
Answer:
F = 0
Step-by-step explanation:
F(x) = 2 - 2
fx/3 = 0/x
f=0
Given the graph below, answer the following questions
please help asap! i just need the answers. brainliest to first CORRECT answer!! thanks!
Answer:
a. 8,953.5 seconds
b. 14,400 seconds (check note)
Step-by-step explanation:
a.
y=-4x
y=-35814 (negative because this is underwater)
-35814=-4x
8953.5
The model suggests it would take 8,953.5 seconds for DeepSea Challenger to reach the bottom (2.487083333 hours, or about 2 hours and 30 minutes).
b.
y=4x
x=3600 (positive because the vessel is rising)
4(3600)
14400
It took 14,400 seconds for the DeepSea Challenger to ascend to the surface.
[also note: I'm not sure if the second question is asking for how many seconds it takes to ascend to the surface with reference to the 4 seconds in the previous question (which is how I answered part b) or if it's asking how many seconds 1 hour is, and in that case. the answer is 3,600 seconds. I hope this helps and sorry if it's unclear!]
Answer:
a. 8,953.5 seconds
b. 14,400 seconds
Step-by-step explanation:
Rectangle A has measurements 6 centimeters by 4 centimeters. Rectangle B has measurements 8 centimeters by 1 centimeter. Rectangle A has a perimeter of centimeters and an area of square centimeters. Rectangle B has a perimeter of centimeters and an area of square centimeters.
Rectangle A has a perimeter of 20 cm and an area of 24 cm^2
Rectangle B has a perimeter of 18 cm and an area of 8 cm^2
Answer:here is the answers Rectangle A has a perimeter of 20 cm and an area of 24 cm^2
Rectangle B has a perimeter of 18 cm and an area of 8 cm^2
Step-by-step explanation:
I tried buh then ii forgot how to find the answer
Answer:
603.19
Step-by-step explanation:
can i have brainliest
Answer: 150.8
Step-by-step explanation: Explanation below.
Plz help! Giving brainliest to a complete and correct answer. Absurd answers will be reported.
Answer:
Use absolute difference
Step-by-step explanation:
Given
The given parameters can be represented as:
[tex]Expense > Income[/tex]
[tex]Income - Expense< 0[/tex]
Required
Eliminate negative difference
To eliminate negative difference, Sara has to make use of absolute difference when calculating the difference between her income and expense.
Take for instance:
[tex]Income = 10[/tex]
[tex]Expense = 12[/tex]
The difference between both is:
[tex]Income - Expense = 10 - 12[/tex]
[tex]Income - Expense = -2[/tex]
But if she uses absolute difference, the result will be:
[tex]|Income - Expense| = |10 - 12|[/tex]
[tex]|Income - Expense| = |-2|[/tex]
[tex]|Income - Expense| = 2[/tex]
Geometry yes yes yes yes yes yes yes yes yes yes
Answer: <DC
Step-by-step explanation:Complementary is 90 angle so D and C
Answer:
<DC
Step-by-step explanation:
Which hill described in the table is the steepest and why?
Street
Horizontal Distance (ft)
Vertical Rise of Street (ft)
Dixie Hill
60
20
Bell Hill
60
40
Liberty Hill
60
30
A. Bell Hill; it rises two-thirds foot for every 1 foot of horizontal travel.
B. Dixie Hill; it rises 1 foot for every 3 feet of horizontal travel.
C. Bell Hill; it rises 3 feet for every 2 feet of horizontal travel.
D. Liberty Hill; it rises 2 feet for every 1 foot of horizontal travel.
Answer:
C
Step-by-step explanation:
I think it is C. Sorry if I'm wrong.
85.2 grams to ounces
Answer:
3.005342
Step-by-step explanation:
Answer if u hate math
Answer:
45
Step-by-step explanation:
the middle line is at 45
In science class, Matt tried to find the mass of a penny. A penny is known to have a mass of 2.5 g. Matt overestimated the weight of the penny and had a percent error of 4%. How much did Matt think the penny weighed?
Answer:100??
Step-by-step explanation:
how many vertices AND faces does this shape have?
Answer:
this is irregular shape it has four vertix and two faces
The number of vertices and faces this shape have is 4 and 4.
What are vertices, faces and edges?Faces are planar mathematical objects. Like a triangle, a rectangle etc. Edges are those line segments, which are on the edge of the faces (of some object considered).
Vertices are points of intersections of different edges.
We are given that;
The figure
Now,
Number of vertices= 3+1
=4
Number of faces= 3+1
=4
Therefore, by vertices the answer will be 4 and 4.
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Help me answer this question asap
Answer:
Oh hey ;)
Step-by-step explanation:
NO LINKS OR I WILL REPORT
NEED ASAP
WILL MARK BRAINLIEST
AND NO UNESSECARY ANSWERS OR I WILL REPORT
Answer:
3. he would have saved 0.07 dollars per gallon
4. she used 2.5 meters per bow
PLEASE HELP ME I NEED THIS IN 15 MINUTES!!!
A shipping box in the shape of a rectangular prism has a volume of 18x^3+5x^2-2x. what are three expressions that can represent possible dimensions of the shipping box?
have THREE expressions plss <33
Answer:
4” wide 2” height and 12”
Step-by-step explanation:
(PLEASE HELP ME!!!!!! THIS IS TIMED PLEASE HELP ME!!!!!!!!!!)
Directions: Write the equation of the line in fully simplified slope-intercept form.
Answer:
Step-by-step explanation:
Up
-10 10, -5 6, 0 2
down
-5 2, 10 6
Answer:
y=-4/5x+2
Step-by-step explanation:
Slope-intercept form, or y=mx+b, is the linear format of a line. Y is the y-coordinate, m is the slope, x is the x-coordinate, and b is your y-intercept. Your y-intercept is the coordinate in which your y-coordinate is a number on the graph and the x-coordinate is 0. If you count the units between one plotted point and another on the graph, you can see that the graph goes down 4 units and right 5 units. This means that the slope is 4/5, but because it's a negative slope, it's -4/5. The y-intercept on your graph is (0,2), so b=2. Therefore, the equation of the line is y=-4/5x+2.
what's 9+10?
if you know you know
Answer:
21
Step-by-step explanation:
duh.................
Consider the possible cross-sections of a square pyramid, a rectangular pyramid, and a cube.
Which of the following statements are true?
Choose both answers.
Geometry
Answer: B
Step-by-step explanation: B because if you slice the cross-section of a square pyramid parallel to its base, you would get a square. The same thing is true for the cube. A is not true because the triangles are not similar.
Answer:
b
Step-by-step explanation:
Find the circumference of each circle D =6ft
1. 28.26
2. 113.04
3. 18.84
4.37.68
5.9.42
Answer:
3 = 18.84
d = 6ft
Step-by-step explanation:
3.14 x 6 = 18.84
Daria makes and sells stuffed toys.
She uses special fabric to cover a foam cube to make a number cube.
How much fabric did Daria use to make this number cube?
Find the area of one face of the cube, and multiply your answer by 6 to get the answer to the question.
Geometry
whoever gets this right will get a brainiest and a good rating
Answer:
The radius and the diameter of the circle are 11 cm and 22 cm respectively.
Step-by-step explanation:
The radius of a circle is a line segment extending from the center of a circle or sphere to the circumference or bounding surface, while the diameter of a circle is a straight line passing from side to side through the center of a body or figure, commonly a circle or sphere. Since the diameter goes entirely across the circle while passing through the midpoint - or center - of a circle and the radius only goes from the edge to the midpoint, that means the diameter is twice as big as the radius. In this example, the radius is already given to you, which is 11 cm, based on the image. Using this, you can figure out the diameter of that circle would be [tex]11 * 2[/tex] or 22 cm. So the radius of the circle is 11 cm, while the diameter of the circle is 22 cm.
Please I need help ASAP
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.
HELPPP I WILL GIVE CROWN AND 20 POINTS PLSS
Answer:
yes sir
Step-by-step explanation:
Zachary traveled from city A to city B. He left city A at 7:30 a.m. and reached city B at 12 noon. Find his average speed if city B is 180 mi away from city A.
Please include the units after the answer!
Answer:
40 mph
Step-by-step explanation:
s = d/t
a to b's distance = 180 miles
7:30 - 12pm = 4.5 hours (time)
speed = 180 ÷ 4.5
speed = 40
Please ignore the question in the picture.
2. The school is going to put grass on both semicircles of the field, how much grass will they need to cover the entire circle?
Five times the difference of a number and 12 minus 4 times the same number is – 36. What is the equation?
Answer:
(5x - 12) - 4x = -36
Step-by-step explanation:
Answer:
(5x - 12) - 4x = -36
Step-by-step explanation:
PLS HELP IT IS DUE IN 20 MINS PLS HELP
Flo needs your help! Which fraction will terminate when converted to a decimal?
A. 11/27
B. 1/12
C. 1/20
D. 1/30
Answer:
C. 1/20
Step-by-step explanation:
It will terminate to 0.05
Answer:
the answer is c cuz if you divide 1/20 you'll get 0.05
Step-by-step explanation:
Whats is the supplementary angle of 14 degrees.
Answer for 20 points and brainest.
Answer:
your answer is 15: a and 16 :d .........