Secant and tangent theorem: Square of measure of tangent is equal to the product of length of whole secant and length of exterior secant segment, i.e.
.
The whole secant wuth exterior secant 4 cm is 4+x cm. Tangent is 7 cm. Using previous theorem, you can get that
.
Solve this equation:
cm.
Answer: x=8.3 cm.
So your equation is currently in point-slope form; however, to figure out the slope and y-intercept, you'd be better off in slope-intercept form: y = mx + b
while in point-slope form, y - y1 = m(x - x1), you can definitely see the slope as -5, you can't see the y-intercept as easily. x-intercepts are actually the solutions/zeros of a function, and it was included in the answer choices to confuse you.
you're correct about -5 being a decreasing slope. but to figure out the y-intercept, you need to convert to slope-intercept form.
y - 4 = -5(x + 1) ... distribute the -5
y - 4 = -5x - 5 ... add 4
y = -5x - 1
and in the form of y = mx + b, where m is the slope and b is the y-intercept, you can see that you have a decreasing slope of -5 and a y-intercept of -1. your correct answer is A. choices C and D were thrown in to distract you and make you think that the -5(x + 1) was somehow related to discovering the x-intercept.
Answer:
V =298.49625 in^3
Step-by-step explanation:
Volume of a cylinder is given by
V = pi * r^2 *h
We know the diameter so we can find the radius
r = d/2 =6.5/2 = 3.25
and we know the height =9
V = pi * (3.25)^2 *9
V = pi*95.0625
If we approximate by 3.14
V = 3.14*95.0625
V =298.49625 in^3
Answer:
54.45US dollars.
Step-by-step explanation:
since 1 us dollar is=1.32 Canada dollars .
100 us dollars needs to be converted to the Canadian dollars which is 132 canadian dollars, and the total expenses subtracted ( 50 + 10=60 )from it, then it is subtracted from 132 and the remainder is 72 . We will have 72 converted back to us dollars ( divided by 1.32) the final answer gives 54.54 us dollars.