Answer:
The slope of a line parallel to this line is -7/6, and the slope of a line perpendicular to this line is 6/7.
Step-by-step explanation:
7x+6y=8
6y=8-7x
6y=-7x+8
y=-7/6x+8/6
y=-7/6x+4/3
Parallel lines have the exact same slopes, but perpendicular lines have negative reciprocal slopes.
Answer:
There are 5 boxes on the tenth row.
Step-by-step explanation:
We are given the following information in the question:
Each row of tissues has 2 fewer boxes than the row below.
The first row has 23 boxes of tissues.
23, 21, 19, 17,...
a) Let f(x) be the function that represent the arithmetic sequence.
Then,
, where x is the number of boxes in previous rows.
b) Comparing the given sequence to an arithmetic progression, we have
First term,a = 10
Common difference,d = -2
Thus, there are 5 boxes on the tenth row.
Answer:
66 cm²
Step-by-step explanation:
From the given figure, and the question statement we have;
BD = 11 cm, AE = 7 cm, CF = 5 cm
The given quadrilateral ABCD consists of two triangles; ΔABD and ΔBCD
The area of quadrilateral ABCD = The sum of the areas of ΔABD and ΔBCD
The base length of the two triangles equals segment BD = 11 cm
The height of triangle ΔABD = 7 cm
The area of a triangle = (1/2) × Base length × Height
∴ The area of triangle ΔABD = (1/2) × 11 cm × 7 cm = 38.5 cm²
Similarly;
The area of triangle ΔBCD = (1/2) × 11 cm × 5 cm = 27.5 cm²
∴ The area of quadrilateral ABCD = 38.5 cm² + 27.5 cm² = 66 cm²
The area of the given figure (quadrilateral ABCD) = 66 cm².
The answer is 4 miles and hour because at the x it is the amount of hours and 4 y falls on the line above it
Answer:
it is 32
Step-by-step explanation:
the answer is 32 it is the answer
