Answer:
21
Step-by-step explanation:
The denominators are 3 and 7 and those are both odd numbers.
You can not get a number lower than 21. Therefore 21 is the LCM (Lowest common denominator.)
Hope this helps :)
Hi there!
The linear equation would be y = 3x + 11. This is because the slope is 3, found by using the formula (y2-y1 / x2-x1). Then, we can plug in the slope and a point into y=mx+b form. Next, we can plug in 0 for x and 0 for y to figure out if the line goes through the point (0,0). Doing this, we discover that the line does not go through the point (0,0).
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
C
Step-by-step explanation:
In the pattern, there are some similarities with the first three circles.
1. The number is on the blue half.
2. The halves switch spots, red-blue, blue-red, red-blue.
So, the next one should have the number on the blue half and the next pattern should be red-blue, blue-red, red-blue, and blue-red.
Which one has both the number on the blue half and the pattern blue-red?
C
Hoped this helped.
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
Answer:
x=1
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to −
2
+
2
y
=
5
.
