Answer: -6
Step-by-step explanation:
Answer:
8 inches
48 inches
total 56 inches
Step-by-step explanation:
x+6x = 56
7x = 56
Divide by 7
7x/7 = 56/7
x = 8
The smaller piece is x inches or 8 inches
The larger piece is 6x inches or 6*8 =48 inches
8+48 = 56 inches
The total length is 56 inches
Answer:
see explanation
Step-by-step explanation:
In a parallelogram
• opposite sides are congruent
• the diagonals bisect each other
Then
UT = 27 ( congruent to RS )
ST = 18 ( congruent to RU )
VS = 7 ( congruent to UV )
VT = 15 ( half of RT )
Answer:
x + 3y = 21
Step-by-step explanation:

Equation of the line: y =mx+ b

Multiply the equation by 3
3y = -x + 21
x + 3y = 21
Hey there!
<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>
x = -4 or x = 2 ✅
<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0
The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :
- If b² - 4ac > 0 , There are 2 real-number solutions
- If b² - 4ac = 0 , There is 1 real-number solution.
- If b² - 4ac < 0 , There is no real-number solution.
The <em><u>roots</u></em> of the equation are determined by the following calculation:

Here, we have :
1) <u>Calculate </u><u>the </u><u>discrim</u><u>i</u><u>n</u><u>ant</u><u> </u><u>:</u>
b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36
b² - 4ac = 36 > 0 ; The equation admits two real-number solutions
2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>
▪️ (1)

▪️ (2)

>> Therefore, your answers are x = -4 or x = 2.
Learn more about <u>quadratic equations</u>:
brainly.com/question/27638369