Answer:
The path of a toy rocket is defined by the relation y=-3x^2+11x+4, where x is the horizontal distance, in meters, traveled and y is the height, in metres, above the ground.
Determine the zeros of the relation.
-3x^2 + 11x + 4 = 0
---
3x^2 - 11x -4 = 0
Factor:
3x^2 - 12x + x - 4 = 0
---
3x(x-4) + x-4 = 0
---
(x-4)(3x+1) = 0
---
x = 4 or x = -1/3
============================
f(x) = -3x^2+11x+4
How far has the rocket traveled horizontally when it lands on the ground?
4 ft.
==================
What is the maximum height of the rocket above the ground, to the nearest hundredth of a meter?
---
max occurs when x = -b/2a = -11/(2*-3) = 11/6
height = f(11/6) = 14.083 ft
A 50 centimeter piece of wire is bent into a circle. What is the area of this circle?
Answer:
198.95 cm²
Step-by-step explanation:
Circumference = 50cm
C = πD
D = C/π
r = D/2
r = 50/π/2
r= 7.957747…..cm
Area = π r²
A = π x 7.957747….²
A = 198.95 cm² (2dp)
In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.
In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.
=10.7
The length of f from the given triangle FGH is 10.7 inches.
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.
Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.
Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°
f² = 57.76+10.24-48.64×(- 0.9396)
f² = 68+45.70
f² = 113.7
f = √113.7
f = 10.7 inches
Therefore, the length of f is 10.7 inches.
Learn more about the cosine rule here:
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Which of the following expressions are equivalent to -6-(-2)
Pls I need help
Answer:
A) -6+2
Step-by-step explanation:
Stephanie has 7/8 pounds of bird seed she used 3/8 pound to fill a a bird feeder how munch bird seed does Stephanie have left
Answer:
1/2 is your answer = 4/8 because 7/8 - 3/8 = 4/8 = 1/2.
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
7/8 - 3/8 = 4/8
4/8 = 1/2
GEOMETRY STUFF PLEASE ANDWER DUE IN 20 MINUTES
Answer:
Statement 2: m∠ ELD = (2x)°
Reason 4: Sum of angles on a straight line is equal to 180°
Statement 6: 2x = 56
Step-by-step explanation:
Since the first step talks about we being given m∠ ELG = 124°, the next thing we are given in the question is that; m∠ ELD = (2x)°
In statement 4,it is written that;
m∠ ELD + m∠ ELG = 180°
The reason behind this is that;
Sum of angles on a straight line is equal to 180°.
For reason 6, we are told it is a subtraction property.
Now the preceding statement gave us;
2x + 124 = 180
Which means that for subtraction property here, we will have;
2x = 180 - 124
2x = 56
The line models the cost of renting a bike. It costs $2 per hour plus a $4 deposit. Write an equation in slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike. How much does it cost to rent a bike for 3 hours?
Answer:
Step-by-step explanation:
2 votes
Sarah would like to build a garden this year. Sarah measured out the outside of her proposed garden and would like to know how many square feet of space she will have to use. Calculate the area of her garden from the picture below.
Please show your work :)
Answer: 11ft
Step-by-step explanation:
Label ABC with the following information.
AB = 35
AC = 62
Find m/c.
Answer:
m<C = 34.4 °
Step-by-step explanation:
From the question given above, the following data were obtained:
Opposite = AB = 35
Hypothenus = AC = 62
Angle C =?
The value of m<C can be obtained by using sine ratio as illustrated below:
Sine C = Opposite /Hypothenus
Sine C = 35 / 62
Sine C = 0.5645
Take the inverse of sine
C = Sine¯¹ 0.5645
C = 34.4 °
Thus,
m<C = 34.4 °
Use the distributive property of multiplication to find 6×21
Hint: 21 = 1 + 20.
Answer:
126
Step-by-step explanation:
First multiply 6 by 1. This equals 6. Then, multiply 6 by 20 to get 120. 6+120=126.
Find x, y and z
help i don’t know what to do, it’s the last question
Answer:
y=3
(bc it is the same length as its perpendicular counterpart.
x= 9 (same with Z)
(From pythagorean theorem)
6^2+3^2= (root of) 45
and square root 45
and it is the same as its counterpart (which is z)
Step-by-step explanation:
as I explained on the answer(it doesnt let this part be unwritten)
An isosceles triangle has an angle that measures 78.Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE
Answer:
78, 51, 51
or
78, 78, 24
Step-by-step explanation:
78, 51, 51
or
78, 78, 24
What is the number of degrees the minute hand of a clock moves between 10:21 and 10:34 pm on the same day?
.
Step-by-step explanation:
The correct answer is 78
Find y.
Round to the nearest tenth:
29
500 ft
y = [? ]ft
Answer:
30 by 500
Step-by-step explanation:
is y
Pls Answer Fast I will give u 5 Stars
Answer:
X is 90 degrees
Step-by-step explanation:
I dont know the second part
Original price of concert tickets: $199.95
Discount: 50%
Answer:
399.9
Step-by-step explanation:
Answer:
99.975
Step-by-step explanation:
199.95=100%
99.975
write an equation for the line (1,2) and (3,-4)
Answer:
y=-3x+5
Step-by-step explanation:
If this helped you please rate this comment, give it a like, and maybe mark it as branliest!
Pls help :) i really need to finish it
Answer:
ok so if equilateral triangle has 1 inch and box has 9 inch of height, the lateral area would be 27 square-inch
Step-by-step explanation:
Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from dot 1, and record it in the table
Answer:
1= 0
2= 0.5
3= 1.5
4= 3
5= 5
6= 7.5
7= 10.5
8= 14
explanation: This is the edmentum answer
Answer:
1= 0
2= 0.5
3= 1.5
4= 3
5= 5
6= 7.5
7= 10.5
8= 14
Step-by-step explanation:
what is 4 and 1/2 in decimal form
Answer:
4.50
Step-by-step explanation:
4 = Whole number. 1 = Numerator. 2 = Denominator. To get 4 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.
The decimal form of 4 and 1/2 is 4.5
DecimalDecimal is a fraction written in a unique form. The dot notation is used to represent the fraction form.
Therefore, 4 and 1/2 in decimal form is represented as follows;
Mixed fraction = 4 1 / 2
Improper fraction = 9 / 2
decimal form of 1 / 2 = 0.5
Therefore, 4 1 / 2 = 4.5
learn more on decimal here: https://brainly.com/question/236928
Raul came home with $3.00 in his pocket. He had given Rene $1.50 on his way home. Pedro gave him $1.00 that he had borrowed last week. How much money did Raul have at the beginning of the day?
Answer: $3.50
Step-by-step explanation:
He came home with $3.00.
He gave Rene $1.50 which means that $1.50 was deducted from his money.
Pedro gave him $1.00 which added to his money.
Money he had therefore was:
= 3 + 1.50 - 1
= $3.50
what is 3/4/5-2/3/5...
Answer:
30
Step-by-step explanation:
The / is another symbol for multipation. Just multiply 3 with 4 and 5. Then multiple 2 and 3 and 5, then you subtract 3 times 4 times 5's answer by 2 times 3 times 5's answer. You will get 30 as the final answer
Answer:
In exact form the answer is 1/6 Or in decimal form it would be 1.2, in mixed number form it would be 1 and 1/5
I hope this helps you.
need help................
827537517172763 kahvxjx
What is the area of the composite shape?
Answer:
84 sq. inches
Step-by-step explanation:
When you section off each, you can find the area of each shape and add together to make composite.
Triangle on left is 6 sq. inches
Rectangle on right (5x10) is 50 sq. inches
Rectangle on bottom (7x4) is 28 sq. inches
Opens right, a=3, vertex: (-5, -2)
Answer:
What.... what do you need help with
Step-by-step explanation:
Explanation
mr. john says that a new automobile decreases 37 1/2 of its value the first year. At this rate, how much will the first value of a $4568 car drop in the first year?
Answer:
it will drop to 2855 I believe
Help me !!!!!!!!!!!!!!!!!
Answer:
D. Neither
Step-by-step explanation:
Ok so,
lets plug in the ordered pairs to see if the answer matches up. It should look like this:
7 = -2 - 5
7 = -7 DOES NOT MATCH; INCORRECT
now lets do it with the other ordered pair
-7 = -4 -5
-7 = -9 DOES NOT MATCH; INCORRECT
hope this helps, have a good day!
please mark brainliest if possible!!! :)
Answer:SEARCH UP ON THE INTERNET HEHEH
Step-by-step explanation:
Given 2 points find the slope using the slope formula. Show all work.
12-Y
me
Xzx,
If you cut away a triangle of area 59cm^2,the remaining area will be 85cm^2.Find the length of the side of the square before it was cut.?
Tell whether the sequence is arithmetic. If it is what is the common difference? 1, 9/10, 4/5, 7/10
Answer:
the answer is D
Step-by-step explanation:
The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The given arithmetic sequence is,
1, 9/10, 4/5, 7/10
The first term of the sequence a = 1
The common difference of the arithmetic sequence is the difference between two consecutive terms.
d = 9/10 - 1
d = - 1/10
The common difference of the given arithmetic sequence is - 1/10.
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what is slop intercept from
Answer:
Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line. Watch this video to learn more about it and see some examples.
Step-by-step explanation: