The time it takes for a rocket to hit the ground is 3 seconds
Step-by-step explanation:
We are given equation for height as
where
x is the time in seconds
When object hits the ground
then height becomes 0
so, we can set h(x)=0
and then we can solve for x
Subtract both sides by 18
So,
the time it takes for a rocket to hit the ground is 3 seconds
In Freeport, Illinois, Empire Street runs east to west and route 26 runs north to south.
Zippy’s Pizza parlor is located on route 26, 3 miles south of Empire street.
Zippy’s advertises that it delivers within a 4 mile radius.
Write an equation that represents the radius of delivery for Zippy’s Pizza. Assume that Zippy’s is located at the origin.
- How far east and west from route 26 can you live on Empire street and still receive Zippy’s Pizza delivery?
- Little Cubs Field is located 2 miles west and 4 miles north of Zippy’s. How far is Little Cubs Field from Zippy’s?
- How far is Little Cubs Field from the radius of delivery?
The area to which Zippy's Pizza makes delivery is 16·π square miles
The responses are;
First Part: x² + y² = 4²Second Part: √5 miles east and √5 miles west from route 26Third Part: 2·√5 milesFourth Part: 2·(√5 - 2) milesReasons:
The radius of the area that Zippy delivers pizza = 4 miles
Direction in which Empire Street runs = East to west
Direction of the route 26 route = North to south
Location of Zippy's Pizza parlor = 3 miles south of Empire street
-First Part:
The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;
(x - h)²+ (y - k) = r²
Where:
(h, k) = The center of the circle which is the location of Zippy's Pizza
r = The radius of the circle
Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)
r = 4 miles
-Which gives;
(x - 0)² + (y - 0)² = 4²
The equation that represent the radius is; x² + y² = 4²
-Second part:
The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;
y = 3
Therefore, we have;
The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;
x² + 3² = 4²
x = √(4² - 3²) = ±√5
The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26
-Third Part:
Location of Little Cubs = 2 miles west and 4 miles north of Zippy's
The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5
The distance from Little Cubs Field to Zippy's = 2·√5 miles
-Fourth Part:
The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;
d = 2·√5 - 4 = 2·(√5 - 2)
Therefore, d = 2·(√5 - 2) miles
Learn more here:
https://brainly.com/question/23005973
If the area of rectangle is x^2+5x+6, what expressions represent the length and width of the rectangle?
Answer:
length = x + 3
width = x + 2
Step-by-step explanation:
Hope it helps:)
find the square root of 48
[tex] \: \: \: \: \: [/tex]
6.92820323step-by-step explanation
refer to the attachment
hope it helpsPLEASE HELP!! Which grabh does NOT represent a function?
Α) Α
B) B
C) С
D) D
Answer:
The answer is B!
Step-by-step explanation:
Using the vertical line test, two points meet while up and down. It'd be B.
Select the true statement about triangle ABC.
O A. sin A = cos B
O B. sin A = tan c
C. sin A= sin C
OD. sin A = cos C
Answer:
A=cos C
Step-by-step explanation:
mass–energy equivalence formulpa E
if the diagonal of a square is 11.3 what is the perimeter
Answer:
Step-by-step explanation:
if the diagonal of a square is 11.3 what is the perimeter
from the diagonal we find the area, which can also be found by multiplying diagonal by diagonal divided by two, then we make the square root of the area and find the side, we multiply by four and we have the perimeter
(11.3 * 11.3) : 2 = 63.8 u² (Area)
√63.8 = 7.9 (side)
7.9 * 4 = 31.6u (perimeter)
HELP ME PLEASEEEEEE!!!!!!!!
Answer:
probs C
Step-by-step explanation:
hope it helps
need help what is answer
Answer:
y=-4/3x+1 is the equation of the line perpendicular to 3/4x+5 and goes through the point 3,-3
Step-by-step explanation:
Note that the co-efficient before x is the slope, which i will call m, and a perpendicular line has a slope of -1/m.
-1/m=-4/3
so
y=-4/3x+z,
plug in 3 for x, and -3 for y to get z=1
y=-4/3x+1 is the equation
WILL MARK BRAINLIEST Evaluate (8xy³- 2x²- 3x + 1) ÷ (x - 1) WITH SOLUTION
Answer:
Given:f(x)=2x^2-3x-1
Then,f(-1)=2(-1)^2-3(-1)-1
f(-1)=2(1)+3-1
f(-1)=5-1
f(-1)=4
Step-by-step explanation:
b/4 + 2 = -1
Please help, I’ll give brainliest to whoever answers correct first.
Answer:
[tex]\frac{b}{4}+2=-1[/tex]
Subtract 2 from both sides:
[tex]\frac{b}{4}+2-2=-1-2[/tex]
[tex]\frac{b}{4}=-3[/tex]
Multiply 4 to both sides:
[tex]4*\frac{b}{4} =-3*4[/tex]
[tex]b=-12[/tex]
The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of diapers. How many diapers are needed?
Answer:
A 1152 diapers
Step-by-step explanation:
2dozen is 24, so 24×48=1152
each container= 48 diapers
2 dozen babies
to find:the amount of diapers needed
solution:[tex]12 \times 2[/tex]
[tex] = 24[/tex]
[tex]24 \times 48[/tex]
[tex] = 1152[/tex]
hence, 1152 diapers are needed for 2 dozen of babies.
answer= option A
Find the value by using the suitable identities 84 2 The 2 is square so the question is 84 square Pls i need the ans fastt
84²
it is like saying 84×84
so
84×84=7,056
so our answer is
= 7,056
whats the decimal equivalent of 16%
Answer:
0.16
Step-by-step explanation:
Percent means 'per 100'. So, 16% means 16 per 100 or simply 16/100.
The answer is 0.16
Answer:
0.16
Step-by-step explanation:
What is the length of the major axis of 7(x+2)^2+2(y-2)^2=49?
Answer:
2a=7[tex]\sqrt{2}[/tex] or 7/2
Step-by-step explanation:
hope thats right
(simplify)
i will give brainliest if correct
28 ÷ 7 - √9
Answer:
The answer is 1
Step-by-step explanation:
28:7=4
√9=3
4-3=1
Answer:
1
Step-by-step explanation:
Square root of 9=3
28/7= 4
So 4-3=1
Answer is 1
Hope it is correct
Is it possible to draw a triangle whose sides have lengths 10.3 cm, 5.8 cm and 4.6 cm?Justify your answer.
(answer me fast kid)
Answer:
Yes it is possible
Step-by-step explanation:
let a = 10.3, b =5.8 , c= 4.6
a+b= 16.1>4.6=c
b+c=5.8+4.6=10.3>10.3=a
c+a=4.6+10.3=14.7>5.8=b.
fill in the blank to make the fractions equivalent. 1/2 ?/10
Answer:
5/10
Step-by-step explanation:
1/2 = 2/4 = 3/6 = 4/8 = 5/10
5/10
Answer:
5
Step-by-step explanation
multiply numerator and denominator with constant. 2*5 is 10, so 1*5=5, hence, 5/10
1 angle and 5 angle are what kind of angles
Answer:
They r corresponding angles.
what is 1 1/5 x 2 3/4
Helpppppppppp please
Answer:
20 million
Step-by-step explanation:
Answer:
C twenty million
Step-by-step explanation:
Round the 2 populations to the nearest million.
The population of California is about 38 million.
The population of Texas is about 20 million.
The difference is 18 million.
The closest choice is 20 million.
Answer: C twenty million
20 points
Please help me with these questions I am being timed
Answer the picture ones too please
Simplify:
(-8 + 35) + |-16 + 4|
Answer:
do I need to answer the questions in every pic?
Answer:
open the ones in bracket first
(_6)2 = _ 36
Step-by-step explanation:
so there fore 26.08 + (- 36) + 3.4 - 8.9 ÷ 9
open bracket by multiplying the signs
which implies
26.08 - 36 + (3.4 - 8.9) ÷ 9
- 9 .92 + (- 5.5) ÷ 9
open brackets by multiplying the signs
-9.92 - 5.5 ÷ 9
- 15.42 ÷ 9
which will give -1.713 approximately
What is 0.4184 in standard form
Answer:4.184*10^-1
Step-by-step explanation: in standard form or scientific notation
An equation is shown below:
4(x − 3) − 5(x + 1) = 3
Which statement shows a correct next step in solving the equation? (1 point)
Group of answer choices
The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Answer:
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Step-by-step explanation:
4(x − 3) − 5(x + 1) = 3
The first thing would be distribute the 4 and the 5 respectively
4x-12 -5x-5 =3
Which represents the solution set of 5(x+5) <85?
X<12
Χ> 12
X< 16
Χ<16
Answer:
[tex]x<12[/tex]
Step-by-step explanation:
[tex]5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12[/tex]
Option A is correct, x<12 represents the solution set of 5(x+5) <85
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 5(x+5) <85
We have to find the solution set of the given inequality
Five times of x plus five less than eight five.
Apply distributive property
5x+25<85
Subtract 25 from both sides
5x<85-25
5x<60
Divide both sides by 5
x<12
Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ7
Find the value of x in the equation below. 15.4=x-13.9
Answer:
29.3
Step-by-step explanation:
Check
Determine the equation for the given line in
slope-intercept form.
y
4.
2
X
O y=-x-1
O y = *x+1
O y = x + 1
Oy=-x-1
-6
-4
-2
2
4
6
-2
Answer:
Step-by-step explanation:
1-4, determine the slope of the line passing through the points whose ... x. +b. Write an equation in slope-intercept form for each line. y=m. hope it helps
in the inequality 4> -4 which number appears farther right on a number line and why?
Answer:
4
Step-by-step explanation:
It is a positive number meanwhile -4 in negative.
Find the value of y.
Answer: y=11 y=5 y=4 y=5 y=7 y=3
Step-by-step explanation:yknow
find the slope and write the equation of the line that passes through the given points (5,6) and (3, 4)
Answer:
y=X +1
……. M=1
Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2
Answer:
0.2,0.3,0.11,0.12
hope that helps
Answer:
0.11, 0.12, 0.2, 0.3
Step-by-step explanation:
Since the numbers are decimals, you can add as many zeros to the end of the numbers to make it easier. In this problem, add a zero to the end of 0.2 and 0.3, making them 0.20 and 0.30. This should make it easier. When you list the decimals from least to greatest, you should get 0.11, 0.12, 0.2, 0.3
I hope this helps!