Answer:
y = 1/2x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
0 - (-4) / 6 - (-2)
4/8
= 1/2
y = 1/2x + b
0 = 1/2(6) + b
0 = 3 + b
-3 = b
Answer:
A). PR = 16.13 ft
B). QR = 9.64 ft
Step-by-step explanation:
Part (A).
From the figure attached,
ΔPQR is a right triangle,
m(PQ) = 14 ft
m(QR) = 8 ft
By applying Pythagoras theorem,
Hypotenuse² = (Leg 1)² + (Leg 2)²
(PR)² = (PQ)² + (QR)²
(PR)² = (14)² + (8)²
PR = √260
= 16.125
≈ 16.13 ft
Part (B).
If PR = 17 feet
and PQ = 14 feet
By applying Pythagoras theorem in ΔPQR,
PR² = PQ² + QR²
(17)² = (14)² + (QR)²
(QR)² = 289 - 196
QR = √93
= 9.644
≈ 9.64 ft
The answer to this question is never true because they both won’t be the same
The graph is crossing the x-axis at x = - 4 .
If you observe the graph it is touching x = -4 and turning away. When graph exhibit such a behavior we say that the multiplicity of the root is 2. This means the root x = -4 occurs two times. So the factors of the polynomial are x + 4 and x + 4
So the given polynomial can be expressed as (x+4)(x+4).
Thus, the correct answer is option A
Answer:
H in terms of c is H = 5c³.
Step-by-step explanation:
Given that:
H = 40 and c = 2
H varies directly to the cube of c.
Which means that,
H ∝ c³
Let,
k be the proportionality constant.
H = kc³
Putting H=40 and c=2
Dividing both sides by 8,
Now,
H in terms of c.
H = 5c³
Hence,
H in terms of c is H = 5c³.
