9514 1404 393
Answer:
Step-by-step explanation:
Using the transformation ...
(x,y) ⇒ (y, -x) . . . . . . rotation 90° CW
we have ...
A(-4, 4) ⇒ A'(4, 4)
B(-2, 4) ⇒ B'(4, 2)
C( -2, 1) ⇒ C'(1, 2)
The answer is D, (x + 1) (x + 2) (x - 3)
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²

Differentiating with respect to t


Since the car driving towards the intersection at 13 m/s.
so,

Now



= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ 
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of
=
,
= 
Simplest form of
= 
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
Answer:
∠5 = 35°
Step-by-step explanation:
∠5 = ∠2 because they are alternate interior congruent angles
∠5 = 35°