6x – 8 = 4 written as a system. Hence second option is correct
<u>Solution:</u>
Given, equation is 6x – 8 = 4.
We have to find the equivalent system from given options.
First let us solve given equation, 6x – 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2
Now, let us solve one by one option ,so that when we get above solution, that is correct option.
- y = 6x – 8 and y = -4 ⇒ put y = -4 in y = 6x – 8 ⇒ 6x – 8 = -4 ⇒ 6x = 8 – 4
⇒ 6x = 4 ⇒ x ≠ 2, wrong option
- y = 6x – 8 and y = 4 ⇒ put y = 4 in y = 6x – 8 ⇒ 6x – 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option.
- y = -6x + 8 and y = 4 ⇒ put y = 4 in y = -6x + 8 ⇒ -6x + 8 = 4 ⇒ 6x = 8 – 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option
hence, second option is correct.
1. 2x + 50 = 100
subtract 50 on both sides and then divide by 2.
x = 25
180 - 100 = 80
m
2. 7x - 4 = 87
add 4 on both sides and divide by 7.
x = 13
180 - 87 = 93
m
3. 5x - 2 = 38
add both sides by 2 and divide by 5.
x = 8
180 - 38 = 142
m
4. 14 + 6x = 134
subtract both sides by 14 and divide by 6.
x = 20
180 - 134 = 46
m
5. x = 53
m
6. x = 14
m
Because P it between J and K it means that JP+PK = JK. That means:
8z-17+5z+37=17z-4
13z+20=17z-4
4z=24
z=6
<span>The value of the variable is 6.</span>
Answer:
4√3
Step-by-step explanation:
For isosoles triangles the legs are congruent
v = u
--------------------
using the pythagorean theorem
(4√6)² = v² + v²
(16 * 6) = 2v²
Divide both sides by 2
16 * 3 = v²
Take the square root of both sides
4√3 = v
