Answer:
ok
Step-by-step explanation:
Hey there!
First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:
y = mx + b
where m is the slope and b is the y-intercept.
When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:
8 = -3(-3) + b
8 = -9 + b
17 = b
Now, since we have slope and y-intercept, we can write our equation as:
y = -3x + 17
Hope this helps!
Answer:
V = 125 cu.
Step-by-step explanation:
Since volume = L x W x H -->
Plug the numbers in --> 5 x 5 x 5 (5 cubed) -->
25 x 5 = 125
Thus, the total volume of this cube is 125 cu.
Hope this helps!
Answer:
Step-by-step explanation:
Chords having equal measures are equidistant from the center of the circle.
Since, VW = XY
Therefore, ZP = ZR = 15 units
A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.
VR = WR = 20 units
By applying Pythagoras theorem in ΔZRV,
ZV² = ZR² + VR²
ZV² = (15)² + (20)²
ZV = √(225 + 400)
ZV = √625
ZV = 25 units
Therefore, measure of radius ZV = 25 units.
VW = XY [Given]
Therefore, XY = 2(20)
= 40 units