Answer:
y = -1/2 x - 13/2
Step-by-step explanation:
what is an equation of the line that is perpendicular to y-4=2(x-6) and passes through (-3,-5)
First, we need the slope of the given line.
y - 4 = 2(x - 6)
y - 4 = 2x - 12
y = 2x - 8
The slope of the given line is 2.
The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular is -1/2.
y = -1/2 x + b
We use the given point as x and y and solve for b.
-5 = -1/2(-3) + b
-10 = 3 + 2b
2b = -13
b = -13/2
The equation of the perpendicular line is:
y = -1/2 x - 13/2
Answer:
1. (3/2)
2. (20)
3. (3)
4. (-9/5)
5. (-8/7)
6. (-2/3), (4)
Step-by-step explanation:
1. 2. 3. 4.
x 3 12 3 x 1 x + 3 3
/ = / / = / / = / / = /
4 8 x 5 9 x 2 5
8x = 12 60 = 3x x² = 9 5x + 15 = 6
÷8 ÷8 ÷3 ÷3 x = √9 -15 -15
5x = -9
x = (3/2) x = 20 x = 3 ÷5 ÷5
x = (-9/5)
5. 6.
4 - x 3 1 x - 3
/ = / / = /
12 7 2x + 1 9
28 - 7x = 36 9 = 2x^2 - 5x - 3
-28 -28 + 3 + 3
12 = 2x^2 - 5x
-7x = 8 -12 -12
÷-7 ÷-7
2x^2 - 5x - 12 = 0
x = (-8/7)
-b +-√b^2 - 4ac
/ = -(-5)√-5^2 - 4 (2)(-12)
2a /
2(2)
= 5-+√121 5 - 11 -6
/ = / = / = (-2/3)
-4 4 4
= 5 + 11 16
/ = / = (4)
4 4
I hope this helps!
Answer:
I need the picture of the pyramid to solve.
Step-by-step explanation:
916...the 9 is in the hundreds place so its value is 900
791...the 9 is in the tens place so its value is 90
900/90 = 10
so the 9 in 916 is 10 times bigger then the 9 in 791
