Answer:
5.7
Step-by-step explanation:
The altitude divides right triangle ABC into similar right triangles ADB and BDC. The ratios of short leg to long leg will be proportional in these similar triangles, so you have ...
AD/BD = BD/CD
Cross multiplying gives ...
AD·CD = BD²
(x+3)(2x+3) = 5²
2x² +9x = 16 . . . . . perform the multiplication, subtract 9
2(x² +4.5x) = 16
2(x² +4.5x +2.25²) = 16 +2(2.25²) . . . . . add 2(2.25²) to complete the square
2(x +2.25)² = 26.125 . . . . . write as a square
x +2.25 = √13.0625 . . . . . .divide by 2, take the positive square root
x = -2.25 +√13.0625 . . . . subtract 2.25 to find x
We want the value of CD, so ...
CD = 2x +3 = 2(-2.25 +√13.0625) +3
CD = -1.5 +2√13.0625 ≈ 5.7284
The length of CD is about 5.7 units.
Answer:
0.6
<em>I hope this helps you</em>
<em>:)</em>
Answer:
The slope of a line perpendicular to the line whose equation is 4x - 5y = 10 is -5/4.
Step-by-step explanation:
provided the equation;
4x- 5y=10.(let it be equation of line1 )
and the other line be line2
from perpendicularty principle
M1×M2= -1
BUT for M1(slope of line L1)
y= mx+c
where "c" is constant value.
"m" is slope.
therefore
5y= 4x - 10
(dividing by five throughout)
y=(4x/5) - 2
y= (4/5)x - 2
therefore M1= (4/5)
Returning back to our principle
M1×M2= -1
(4/5)M2=-1
<u>M2= -5/4</u>
Answer:
Your brother (I think i'm right)
Step-by-step explanation:
Perimeter is bigger than circumferance if same "length"
A is a function
To represent a function each value from the input (x ) can only map to exactly one value in the output (y)
In B
x = 3 → y = 10/ 30 ← 2 values of y
In C
x = - 5 → y = 2/ 3 ← 2 values of y
x = - 10 → y = 4/ 5 ← 2 values of y
In D
x = 20 → y = 25/ 35 ← 2 values of y
A is the only table where each value of x maps to exactly one value in y
