Answer:
Step-by-step explanation:
80 x 4 = 79+81+77+x
320=237 + x
320-237 = x
83=x
so Marianne must score 83 points or higher on her last test
Solve using quadratic formula. 7x^2-12x+3=0
1 answer:
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Answer:
The product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the lines
y = 2/3 x -3 --- Line 1
y = -3/2x +2 --- Line 2
<u>The slope of line 1</u>
y = 2/3 x -3 --- Line 1
By comparing with the slope-intercept form of the line equation
The slope of line 1 is: m₁ = 2/3
<u>The slope of line 2</u>
y = -3/2x +2 --- Line 2
By comparing with the slope-intercept y = mx+b form of the line equation
The slope of line 2 is: m₂ = -3/2
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = (2/3)(-3/2 )
m₁ × m₂ = -1
Thus, the product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
The inequality is -12x + 3y > 9.
PART A:
The sytem has no solution if inequality does not share a common area. The inequality -12x + 3y > 9 consist the region to left of line -12x + 3y = 9. So for no solution the region to left of equation -12x + 3y = 9 is suitable.
Thus inequality for no solution is, -12x + 3y < 9.
PART B:
For infinite solution the region of both inequality must overlap each other, or the inequality is same with some multiplication of divison factor. So inequality for infinite many solutions is,
Thus inequality for infinite many solution is 12x - 3y < -9.
Answer:
275 ft³
Step-by-step explanation:
Given the ratio of radii of 2 similar figures = a : b , then
ratio of volumes = a³ : b³
Here the ratio of radii = 5 : 2 , so
ratio of volumes = 5³ : 2³ = 125 : 8
Calculate the volume (V) of A using proportion
=
=
( cross- multiply )
V = 275 ft³
That is the volume of figure A = 275 ft³