Answer:
4√3
Step-by-step explanation:
The distance formula applies. It tells you ...
distance = √((x2 -x1)² +(y2 -y1)²)
Filling in the given values, you have ...
distance = √((-√32 -(-4√2))² +(2√3 -(-√12))²)
= √((-4√2+4√2)² +(2√3 +2√3)²)
= √(0 + (4√3)²)
distance = 4√3
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We make use of the fact that ...
To be able to find the value of X, we have to cross multiply the two fractions then solve the equation.
As so,
6/4 = 15/x
Cross Multiply:
6 x X = 6x
4 x 15 = 60
We cross multiplied, now we can set up the equation:
6x = 60
Simplify: (Get X by itself)
Divide 6 on each side
6 / 6x = 60 / 6
x = 60 / 6
x = 10
Now we have the total of X! To check our answer, we can substitute X for 10 in the original equation.
As so:
6/4 = 15/10
6/4 = 1.5
15/10 = 1.5
Correct! Our answer is X = 10!
Hope I could help you out! If my math is incorrect, or I provided an answer you were not looking for, please let me know and I will be sure to assist you further! However, if my math was well, and correctly, explained, please consider marking my answer as <em>Brainliest!</em> :)
Have a good one!
God Bless.
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6 - y= (-1+)/2= 10/2 = 5
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Answer:
Mass
Step-by-step explanation:
"Robin collected data from dropping watermelons of different 'MASS' for the same height"
True is the correct answer.
