Answer:
Step-by-step explanation:
The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.
Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:
Finding e:
hyp = 26
opp = e = ?
Plug in the values into the formula
Multiply both sides by 26
Since side e is of the same length with side f, therefore, the length of side f = 
Answer:
Slope: 3
Y-Intercept: -10
Step-by-step explanation:
This equation is in slope-intercept form, it is written as y = mx + b where m is the slope and b is the y-intercept. This means 3 is the slope and -10 is the y-intercept.
V=4/3πr^3=4/3*π*5^3
=523.6
Step-by-step explanation:
the typical line equation is
y = ax + b
a is the slope. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.
going from one to the other point
x changes by +8 (from -6 to 2).
y changes by +4 (from 3 to 7).
so, the slope a is +4/+8 = 1/2.
the semi-finished equation is
y = 1/2 x + b
for b we use one of the points in the equation and since for b. let's go for (2, 7) :
7 = 1/2 × 2 + b = 1 + b
6 = b
so, the full equation is
y = 1/2 x + 6
