Answer:
For the given functions, the value of g(5)-f(5) = 17
Step-by-step explanation:
Here, the given functions are:
f(x) = -3x + 17

So, f(5) = -3(5) + 17
= -15 + 17 = 2
And 
So, f(5) = 2 and g(5) = 19
⇒g(5) - f(5) = 19 - 2 = 17
Hence, for the given functions, the value of g(5)-f(5) = 17
I think the correct answer is conjunction...
Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC =
= 5,09902
BD =
= 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999
Answer:
14 apples, 10 bananas
Step-by-step explanation:
.07 * 12 = .84 (12 apples at 7 pence/per = 84 pence)
5 - .84 = 4.16 (4.16 pound remaining)
4.16/.4 = 10.4 (you can buy 10 bananas with 4.16 pounds, with .16 pence remaining)
.16 / .7 = 2.3 (you can buy two more apples with 16 pence)
Hope this helps.
Answer:
D. none
Step-by-step explanation:
The figure shows two triangles. We see a right angle in each triangle. All right angles are congruent. One angle of one triangle is congruent to one angle of the other triangle. We are not given any other information about congruent sides or other congruent angles. Therefore, there is not enough information to prove the triangles are congruent.
Answer: none