Answer:

Step-by-step explanation:
Slope is negative reciprocal when two lines are perpendicular
m1=1/2 therefore m2=-2
The equation of the line in point-slope form is given as

Here m=-2 and (x1, y1)=(-3, -1)
Therefore,

Answer:
5
Step-by-step explanation:
k(x)=5 says I'm 5 no matter the value of x...
So therefore
k(-4)=5
k(56)=5
k(66378)=5
k(whatever)=5
k(x) is constantly 5 for whatever input x.
Answer:
a²+b²=c²
Step-by-step explanation:
Answer:
The car is going up at a speed of 22.5 mph
Step-by-step explanation:
In this question, we are asked to calculate the speed of a moving car which started moving at an initial velocity for a specific period of time.
To calculate this, we use one of the basic equations of motion;
v = u + at
Where v is the final velocity, u is the initial velocity and t is the time
From the question, we can identify the parameters as follows;
v = ?
u = 10mph
a = 2.5t mph per second for 5 seconds.
Hence a here would be 2.5 * 5 = 12.5
Now, let’s put these values in the equation
v = 10 + 12.5
v = 22.5 mph
Answer: 16
Step-by-step explanation:
an area is always calculated by multiplying 2 dimensions.
when changing the dimensions, then the change factors for EACH dimension go into the calculation too.
therefore, when both dimensions of an area are enlarged 4 times, then the area is enlarged 4×4 = 16 times.
this just propagates to the whole surface area of an object, as each individual area of the overall surface area is enlarged by the same factor. and so, the sum of all the individual areas (= altogether the surface area of the object) is also enlarged in total by the same factor.
just think
16×a + 16×b + 16×c ... = 16×(a+b+c+...)