The answer is 35.
We have the ratio 7/9 cross multiply with x/45
7*45 = 315
315/9 = 35
X² + 6x -12 = 0
x = <u>-(6) +/- √((6)² - 4(1)(-12))</u>
2(1)
x = <u>-6 +/- √(36 + 48)</u>
2
x = <u>-6 +/- √(84)
</u> 2<u>
</u>x = <u>-6 +/- 2√(21)
</u> 2<u>
</u>x = -3 <u>+</u> √(21)
x = -3 + √(21) x = -3 - √(21)
Answer:
x = -43
y = -4
Step-by-step explanation:
In this question, you will have to find the value of x in terms of y using one of the equations and substituting the value in the other equation or vice versa.
Let's assume the numbers x and y, now we write the expressions.
x + y = -47
x - y = -39
Take the second equation and find x.
<u>Calculations:</u>
x - y = -39 (Add y on both sides)
x = -39 + y
Now that you got the value of x in terms of y, we can substitute.
<u>Calculations:</u>
(-39 + y ) + y = -47
2y - 39 = -47
2y = -8
y = -8/2 = -4
y = -4
Now that we got y, we can substitute that value in any of the equations to find x.
x - 4 = -47 or x + 4 = -39
x = -43
See the attached figure
DB = 4 and DC = 6 , We need to find AD
Using <span>Euclid's theorem for the right triangle
</span><span>
</span><span>∴ DB² = AD * DC
</span><span>
</span><span>∴ 4² = AD * 6
</span><span>
</span><span>∴ 6 AD = 16
</span><span>
</span><span>
</span><span>
∴ AD = 16/6 = 8/3 ≈ 2.67</span>