Answer:
Hope this helps!
Step-by-step explanation:
Slope = 5/-2
Slope (m) =
ΔY
ΔX
=
5
-2
= -2.5
θ =
arctan( ΔY ) + 180°
ΔX
= 111.80140948635°
ΔX = -1 – 3 = -4
ΔY = 5 – -5 = 10
Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269
Equation of the line:
y = -2.5x + 2.5
or
y =
- 5 x
2
+ 5
2
When x=0, y = 2.5
When y=0, x = 1
Answer:
A. Metacom
Step-by-step explanation: Metacom, also known as King Philip, leader of the Wampanoag near Plymouth colony, led many other Native Americans into a widespread revolt against the colonists of southern New England in 1675.
9514 1404 393
Answer:
109°
Step-by-step explanation:
You always start a problem by taking a careful look at the information given and how it relates to what is asked. Here, the key information is in the symbols marking the lines PQ and RS. They are parallel.
This means segments QR and PS are transversals. Marked angle 41° will be an "alternate interior angle" with angle TPQ, so angle TPQ is also 41°.
The desired angle, PTR, is an exterior angle to ΔQTP, so its measure is the sum of remote interior angles TQP (68°) and TPQ (41°). That is, ...
∠PTR = ∠TQP +∠TPQ = 68° +41°
∠PTR = 109°
6 watermelons, because each watermelon is 2 kg
Answer:
f(x) = 3x(x-1)(x-3)
Step-by-step explanation:
f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =
= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =
= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)
