Answer:
there are 114
Step-by-step explanation:
Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)
19+1= 20
20 units= 120 (Data from 1st sentence)
1 unit= 120/20= 6
19 units= 120-6= 114 (Values solved in working above)
Ans: There are 114 red marbles.
Answer:
(1,-1) (5,-4) (-2,6)
Step-by-step explanation:
The triangle will be rotated to 180 degrees which means you need this formula to point all the corners of the triangle…
Formula:
(x,y) —> (-x,-y)
(-1,1) —> (1,-1)
(-5,4) —> (5,-4)
(-2,6) —> (2,-6)
Plot these point…
(1,-1) (5,-4) (-2,6)
The correct question in the attached figure
case A) an=2<span>^(n-1)
for n=8
a8=2</span>^(8-1)-----> a8=2<span>^7----> a8=128
the answer case A) is a8=128case B) an=7
then for n=8
a8=7
the answer case B) isa8=7case C) an=1+(-1)</span><span>^n
for n=8
a8=1+(-1)</span><span>^8----> a8=1+1----> a8=2
the answer case C) isa8=2case D)an=-(-2)</span><span>^n
for n=8
a8=-(-2)</span><span>^8----> a8=-256
the answer case D) isa8=-256</span>
Answer:
y =-5/4x +11/2
Step-by-step explanation:
First we need to find the slope of the line
4x-5y = 10
Solve for y
Subtract 4x from each side
4x-4x-5y =-4x-10
-5y = -4x-10
Divide by -5
-5y/-5 = -4x/-5 -10/-5
y = 4/5x +2
The slope is 4/5
The slope of a line that is perpendicular is the negative reciprocal
m perpendicular = - (5/4)
We know have a slope = -5/4 and a point (2,3)
We can use the point slope form of a line
y-y1 = m(x-x1)
y-3 = -5/4 (x-2)
Distribute
y-3 =-5/4x +10/4
Add 3 to each side
y-3+3 = -5/4 x +5/2 +3
Get a common denominator
y = -5/4x +5/2 +6/2
y =-5/4x +11/2