Answer:
Step-by-step explanation:
let length of calble = L
distance from 10-foot pole = x ft
Moving from the top of the 10-foot pole to point x, we have
From the diagram that
Take the square root of both sides
Moving from point x to the top of the 12-foot pole, we have
From the diagram that
Take the square root of both sides
Amount of cable used, L = L1 + L2
Answer:
4x² + 4x + 5
Step-by-step explanation:
Note that (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 5x² - 3 - (x² - 4x - 8 ) ← distribute parenthesis by - 1
= 5x² - 3 - x² + 4x + 8 ← collect like terms
= 4x² + 4x + 5
Well if RQ is parallel to TS then RS is parallel to QT so in that case the triangles the sides create are going to have the same angles due to the congruence's
Answer:
The base is 4cm and the height is 5cm.
Step-by-step explanation:
This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:
and
Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:
In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated: