1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zinaida [17]
3 years ago
10

The function

t)=-5t^2+20t+60" align="absmiddle" class="latex-formula"> models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
(Use without A CALCULATOR)
Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0
Basically when the object hits the ground, f(t) is equal zero. So all you need to do is to solve the quadratic equation:
-5t^2 + 20t + 60 = 0

D = b^2 - 4ac = 20^2 - 4 × (-5) × 60 = 400 + 1200 = 1600

t1 = (-b + sqrt(D)) / 2a = (-20 + 40) / (-10) = -2
t2 = (-b - sqrt(D)) / 2a = (-20 - 40) / (-10) = 6

Since time can't be negative, our solution is t2.

So the object will hit the ground in 6 seconds.
You might be interested in
Kamoira bought 8 pizzas for $131.36. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?
Veseljchak [2.6K]

Step-by-step explanation:

so, you don't know what a division is for ?

it is to ask things like "how often does one number fit into another number", or "how big will each piece be, if I split something into a certain number of equally sized pieces ?".

this is what we need here.

8 pizzas for $131.36. and each pizza costs the same. you see how that connects to what I just described above ?

to find how much each pizza cost, we need to divide the total price by 8, to find the size (= here the price) of each of the equally big parts of the total price.

131.36 / 8 = $16.42

6 0
3 years ago
Write the equation y- 6 = _5(x + 1) in<br> slope-intercept form.
Georgia [21]

Answer:

y = -5x + 1

Step-by-step explanation:

y - 6 = -5 (x + 1)

distribute -5 (x + 1) by multiplying

y - 6 = -5x - 5

than add 6 to both sides

y = -5x + 1

3 0
3 years ago
Which identifies all the integer solutions of the equation |x| = 12?
navik [9.2K]
B. Because the absolute value of a number is the distance of that number from 0.
7 0
3 years ago
Read 2 more answers
ΔMNO is shown.
JulijaS [17]

Answer:

ABC - AAS

DEF - not enough information

GHI - not enough information

JKL - SAS

Step-by-step explanation:

SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS

2. In triangles MNO and DEF, there are two congruent sides  - there is not enough information

3. In triangles MNO and GHI, there are three congruent angles  - there is not enough information

4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS

5 0
4 years ago
What is the function of xy=17
Murljashka [212]

Answer:

x = 17 + y

Step-by-step explanation:

Simplifying

x + -1y = 17

Solving

x + -1y = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.

x + -1y + y = 17 + y

Combine like terms: -1y + y = 0

x + 0 = 17 + y

x = 17 + y

Simplifying

x = 17 + y

6 0
3 years ago
Read 2 more answers
Other questions:
  • Bro SOME ONE PLS HELP ME FIND X i am HORRIBLE at math tutor meeee
    13·1 answer
  • Why is 82 a composite number
    7·2 answers
  • Latanya and George
    9·1 answer
  • What is the total cost of a $53.49 meal at a restaurant after including a 12% tip?
    5·1 answer
  • The first one will get the brianlist please help answer these two
    13·2 answers
  • Which point on the number line best represents the location of the square root of 92?
    5·1 answer
  • Solve the equation for y.<br> 6 = 4x +9y
    9·2 answers
  • Question is attached!​
    11·1 answer
  • I could probably lowkey do this but I'm lazy and I need it fast
    12·2 answers
  • Money must serve as...?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!