The pattern is multiplying the number by -2. So it would continue on as 96, -192, 384, and so on.
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
Answer:
they are congruent because SAS
Step-by-step explanation:
Answer:
The equation in slope-intercept form for the path of the trumpet players is
.
Step-by-step explanation:
Consider the provided information.
The drummers will march along the line y=-5x-8.
The trumpets players will march along a perpendicular line that passes through (-2,2).
The slope of line y=-5x-8 is: m₁ = -5.
The slope of perpendicular lines are: ![m_1\times m_2=-1](https://tex.z-dn.net/?f=m_1%5Ctimes%20m_2%3D-1)
![-5\times m_2=-1](https://tex.z-dn.net/?f=-5%5Ctimes%20m_2%3D-1)
![m_2=\frac{1}{5}](https://tex.z-dn.net/?f=m_2%3D%5Cfrac%7B1%7D%7B5%7D)
Hence, the slope of the line should be 1/5.
The line passes through (-2,2).
Now use point slope form to find the equation of line.
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.
![y-2=\frac{1}{5}(x+2)](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B1%7D%7B5%7D%28x%2B2%29)
![y-2=\frac{x}{5}+\frac{2}{5}](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7Bx%7D%7B5%7D%2B%5Cfrac%7B2%7D%7B5%7D)
![y=\frac{x}{5}+\frac{2}{5}+2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx%7D%7B5%7D%2B%5Cfrac%7B2%7D%7B5%7D%2B2)
![y=\frac{x}{5}+\frac{12}{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx%7D%7B5%7D%2B%5Cfrac%7B12%7D%7B5%7D)
Hence, the equation in slope-intercept form for the path of the trumpet players is
.
Answer:
idk
Step-by-step explanation: