Answer:
AC = 8 cm,
AD = 3 cm and ∠ACB = ∠CDA
From figure,
∠CDA = 90°
∴ ∠ACB = ∠CDA = 90°
In right angled ∆ADC,
AC2 = AD2 + CD2
⇒ (8)2 = (3)2 + (CD)2
CD2 = 64 – 9 = 55
⇒ CD = √55 cm
In ∆CDB and ADC.
∠BDC = ∠AD [each 90°]
∠DBC = ∠DCA [each equal to 90°-∠A]
∴ ∠CDB ∼ ∆ADC
Then,
Answer:
9.434 units
Step-by-step explanation:
Given data
points (5,4) and (-3,-1)
x1= 5
y1= 4
x2= -3
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-3-5)²+(-1-4)²)
d=√((-8)²+(-5)²)
d=√64+25
d=√89
d=9.4339
d= 9.434 units
Hence the distance between the points is 9.434 units
Answer: -600 and 1600 were invested into the two accounts.
Step-by-step explanation:
x = amount invested in the first account.
y = amount invested in the second account.
You start off with this equation
Subtract both sides by y.
Subsitude 1000 - x for x for the second equation.
Use the distributive property to solve for y.
Subsitude -600 for y in the first equation and solve for x.
-600 and 1600 were invested into the two accounts.
A - area, l - length, w - width
The answer is D. x²+2x+2.
<span>(3)(8) = (8)(3)
answer is </span><span>A. Commutative</span>