Answer:
product is a ⋅ c = 3 ⋅ − 6 = − 18 and whose sum is b = − 7 .
Step-by-step explanation:
Factor
− 7 out of − 7 x .
3 x 2 − 7 ( x ) − 6
Rewrite
−7 as 2 plus −9
3 x 2 + (2−9) x −6
Apply the distributive property.
3 x 2 + 2 x − 9 x − 6
Answer:
20.16 meters
82.77º
Step-by-step explanation:
We have that the ramp would have the shape of a rectangular triangle, where the height and width would be the legs and the slope the hypotenuse.
We can solve it by means of the Pythagorean theorem that tells us:
c ^ 2 = a ^ 2 + b ^ 2
a = 2.5 and b = 20, replacing:
c ^ 2 = 2.5 ^ 2 + 20 ^ 2
c ^ 2 = 406.25
c = 20.16
Therefore the slope would be 20.16 meters.
The angle, we will do it using the function: Sin A ° = opposite / hypotenuse
where the opposite is the height, that is to say 20 and the hypotenuse that is the slope is equal to 20.16, replacing:
Without Aº = 20 / 20.16
Without Aº = 0.992
Aº = arc sin (0.992)
Aº = 82.77
Which means that the angle is of the slope with the horizontal is 82.77º
Answer:
2
Step-by-step explanation:
2 because there are two types of flowers
The two numbers are x and y; therefore we can suggest this system of equations:
x+y=150
x/y=3/2
We can solve this system of equations by substitution method.
x/y=3/2 ⇒x=3y/2
(3y/2)+y=150
3y/2 + y=150
lowest common multiple=2
3y+2y=300
5y=300
y=300/5
y=60
x=3y/2
x=(3*60)/2=180/2=90
Answer: the bigger number is 90
