Answer:
(-2,0) (1,0) (6,0)
Step-by-step explanation:
I used synthetic division which is a lot to explain so I would recommend googling it
Hi,
Work:
Equation;

Roots: (-9, 0), (8, 0)
Domain: x = R
Minimum: (-1/2, -289/4)
Vertical intercept: (0, -72)
Hope this helps.
r3t40
Answer:
5 meters.
Step-by-step explanation:
Given:
Mr. Dyer is leaning a ladder against the side of his house to repair the roof.
The top of the ladder reaches the roof, which is 3 meters high.
The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady.
Question asked:
How long is the ladder?
Solution:
<em>Here we found that a right angle triangle is formed in which base and height is given and we have to find the longest side of the triangle.</em>
Base = 4 meters
Height = 3 meters
Length of the ladder = ?
<u>By Pythagoras theorem:
</u>
Square of longest side = Square of base + Square of height



Taking root both side :-
![Longest\ side = \sqrt[2]{5\times5} \\ Longest\ side = 5](https://tex.z-dn.net/?f=Longest%5C%20%20side%20%3D%20%20%5Csqrt%5B2%5D%7B5%5Ctimes5%7D%20%5C%5C%20%20Longest%5C%20%20side%20%3D%20%205)
Thus, length of ladder is 5 meters.
Answer:
$3 and $2
Step-by-step explanation:
let p represent popcorn and d drinks , then
2p + 3d = 12 → (1)
3p + 5d = 19 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate p
6p + 9d = 36 → (3)
- 6p - 10d = - 38 → (4)
add (3) and (4) term by term to eliminate p
0 - d = - 2
- d = - 2 ( multiply both sides by - 1 )
d = 2
substitute d = 2 into either of the 2 equations and solve for p
substituting into (1)
2p + 3(2) = 12
2p + 6 = 12 ( subtract 6 from both sides )
2p = 6 ( divide both sides by 2 )
p = 3
Popcorn costs $3 and a drink costs $2
The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.
<h3>Speed</h3>
let
- distance covered in first Part = d1
- distance covered in second Part = d2
- distance covered in third Part = d3
- speed covered in first Part = s1
- speed covered in second Part = s2
- speed covered in third Part = s3
Distance in second Part:
d₃ = 15 x 300
= 4500 m
d₂ = 2/5 × d₃
= 2/5 x 4500
d₂ = 1800 meters
Speed in second part:
S₂ = 1800 m / 12 min
S₂ = 150 meters per minute
Learn more about distance:
brainly.com/question/4931057
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