Answer:
ksajcsxkb asljbas akajs
Step-by-step explanation: sxakn skdj
Answer:
E. 2 1/2
E. 8.5 cm
C. 6 cm
Step-by-step explanation:
4............................
Scale factor = AE/AC = (4+6)/4 = 10/4 = 2.5
<u>Correct option is</u> E. 2 1/2
5............................
DE = ?
- DE = √AD² - AE² = √15² - 10² = √125 = 5√3 ≈ 8.66
- <em>For measure of AD see next question (6)</em>
<u>Close option is</u> E. 8.5 cm
6............................
AB = ?
- AD/AB = 2.5 <em>the scale factor as per question 4</em>
- (AB + 9)/AB = 2.5
- 2.5*AB = AB + 9
- 1.5*AB = 9
- AB = 9/1.5
- AB = 6 cm
<u>Correct option</u> C. 6 cm
The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
We are aware that any straight line's equation can be expressed as
y = mx + c,
where m denotes the slope and c denotes a constant.
Also, two perpendicular lines' slopes are the negative reciprocals of one another.
Here, the equation of the given straight line is
3x+8y=4
i.e. 8y = 4 -3x
i.e. y = (4/8) - (3/8)x
Now the negative reciprocal of - 3/8 is 8/3.
Then we can write the equation of the perpendicular line is
y = (8/3)x + c ...(1)
Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.
So, -9 = (8/3)*8 + c
i.e. -9 = 64/3 + c
i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3
(1) can be written as
y = (8/3)x - (91/3)
i.e. 3y = 8x - 91
i.e. 8x - 3y = 91
Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
Learn more about perpendicular lines here -
brainly.com/question/12209021
#SPJ10
Answer:
diagonal is 14 m
Step-by-step explanation:
We are given;
- The area of a square garden as 98 m²
We are required to determine the diagonal of the square.
We know that;
Area of a square = s² , where s is the side of the square
Therefore;
s² = 98
Thus;
s = √98
To get the diagonal
s² + s² = diagonal squared
Hence;
Diagonal squared = (√98)² + (√98)²
= 98 + 98
= 196
Thus;
Diagonal = √196
= 14 m
Thus, the diagonal is 14 m
Since it's on a 1:40 scale, you just multiply 4.4in by 40, to get 176in. That's the actual length.
