Answer:
y = (7/2)x -20
Step-by-step explanation:
The given line is in slope-intercept form, so you can read its slope from the equation.
y = mx + b . . . . . m is the slope; b is the y-intercept
y = -(2/7)x + 9 . . . . . . has slope -2/7
The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...
m = -1/(-2/7) = 7/2
We can use this and the given point to write the equation in point-slope form.
y = m(x -h) +k . . . . . . line with slope m through point (h, k)
We have m = 7/2, (h, k) = (4, -6) so the equation is ...
y = (7/2)(x -4) -6
y = (7/2)x -20
Answer: 13/12
Step-by-step explanation:
Reduce the fraction 3/9 to the lowest terms by extracting and canceling out 3.
The least common multiple of 4 and 3 is 12. Convert 3/4 and 1/3 to fractions with denominator 12.
Since 9/12 and 4/12 have the same denominator, add them by adding their numerators.
Add 9 and 4 to get 13.
Answer:
1/6
Step-by-step explanation:
To find the common ratio, you compare a few pairs of consecutive terms, by dividing an element by its predecessor.
12 / 72 = 1/6
2 / 12 = 1 / 6
1/3 / 2 = 1 / 6
The ratio is constant... so that's your common ratio to go from one term to the next.
To go from one term to the next, you have to multiply by 1/6.
make two triangles. make the bottom of one triangle 135 as the shadow and "x" as the height. the other traingle should have 9 at the bottom and 5.3 as the height. then make a proportion
