Step-by-step explanation:
Hi there!
The given equation is:
y = -2x + 5………………(i)
Comparing the equation with y = mx+c, we get;
m1 = -2
Also another equation of the line which passes through point (-4,2), we get;
(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}
According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;
m1*m2 = -1
-2*m2 = -1
or, m2 = 1/2.
Therefore, m2= 1/2.
Now, keeping the value of m2 in equation (ii).
(y-2) = 1/2(x+4)
y = (1/2)x + 4
Therefore, the required equation is: y = (1/2)x + 4.
<u>Hope</u><u> it</u><u> helps</u><u>!</u>
Answer:
a =12*sqrt(2)
Step-by-step explanation:
3. The Pythagorean theorem states
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 +21^2 = 27^2
a^2 +441 =729
Subtract 441 from each side
a^2 +441-441 = 729 -441
a^2 =288
Take the square root of each side
sqrt(a^2) = sqrt(288)
sqrt(xy) = sqrt(x)sqrt(y)
a = sqrt(144)sqrt(2)
a =12*sqrt(2)
Answer:
x-coordinate = 0
Step-by-step explanation:
In a coordinate plan there are two perpendicular lines one is x-axis and another is y-axis
x-axis is a horizontal line and y-axis is a vertical line.
Both lines intersect each other at (0,0).
On x-axis, y-coordinate remains same , i.e., y=0.
On y-axis, x-coordinate remains same , i.e., x=0.
Therefore, the x co-ordinate of any point lying on the y axis is 0.
Answer:
8x - 11
Step-by-step explanation:
?
just do the multiplications and add things up.
1 + 4(2x - 3) = 1 + 8x -12 = 8x - 11
In order to do this, we have to 1st find the volume of each ball using the sphere volume formula: 4/3(pi)r^3
Baseball: 4/3(pi)(1.375in)^3
Soccer ball: 4/3(pi)(4.25in)^3
Calculate to get:
Baseball: about 10.89
Soccer ball: about 321.56
So subtract these 2 numbers:
321.56in^3 - 10.89in^3
= 310.67 in^3
So the difference in volume between these two objects would be 310.67 in^3
