Answer:
XV = 4.75
Step-by-step explanation:
TV/WV = UV/XV (similarity theorem)
TW = 9
WV = 3
UV = 19
TV = 9 + 3 = 12
XV = ?
Plug in the values
12/3 = 19/XV
4 = 19/XV
XV × 4 = 19
XV = 19/4
XV = 4.75
Hi friend,
<span>D) (4, 0.1)
Hope this helps you!</span>
This is what we know:4x^2 + 12x + c = (2x + k)^2
<span>
4x^2 + 12x + c = 4x^2 + 2kx + 2kx + k^2
c=9
</span>
Step-by-step explanation:
I don't know if the first set of numbers is all in one set, but I'll do my best to give you an answer.
Really all you need to do is use PEMDAS for the first question.
(Parentheses, exponents, multiply, divide, add, subtract. In that order)
Then to simplify that fraction next to it, notice that 0.018 is 3x 0.06.
that's a 3:1 ratio, so it ends up simplifying to this:
Lastly, to solve the division of that fraction. If you divide by a fraction, you multiply whatever it's dividing by its inverse.
So...
Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real irrational roots
• If b² - 4ac > 0 and a perfect square then 2 real rational roots
• If b² - 4ac = 0 then 1 real double root
• If b² - 4ac < 0 then 2 complex roots
Given
x² + 3x - 7 = 0 ← in standard form
with a = 1, b = 3, c = - 7 , then
b² - 4ac
= 3² - (4 × 1 × - 7) = 9 + 28 = 37
Since b² - 4ac > 0 then 2 real irrational roots
