Answer:
<em>x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>
Step-by-step explanation:
See steps below;
I would prefer answering this question by completing the square, rather than applying a quadratic formula;
3x^2 - 6x - 12 = 0, ⇒ Add 12 to either side,
3x^2 - 6x = 12, ⇒ Divide either side by 3,
x^2 - 2x = 4, ⇒ Write the equation in the form x^2 + 2ax + a^2 = (x + a)^2,
x^2 - 2ax + a^2 = 4 + a^2, ⇒ Solve for a
2ax = -2x,
a = - 1, ⇒ Substitute value of a,
x^2 - 2x + 1 = 4 + 1,
( x - 1 )^2 = 5, ⇒ Solve for x,
x = √5 + 1, and x = - √5 + 1,
In other words; <em>Solution : x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>
Answer:
working hypothesis.
Step-by-step explanation:
Hypothesis is a technique in mathematics used to identify between two events. The event is tested for hypothesis using the null hypothesis and an alternative hypothesis is set to compare the results. If there are more than one hypothesis then there is working hypothesis technique used to identify the conclusion.
Given a point in coordinates form
, one can compute the cartesian form like this:
We have:
We get the cartesian form then:
Answer:
x=-2
Step-by-step explanation:
first, you substitute y=0, then you solve the equation for x
y=x+2
0=x+2
x=-2
Answer:
m∠V = 28°
Step-by-step explanation:
In ΔUVW:
- m∠U = (9x - 8)°
- m∠V = (2x + 2)°
- m∠W = (3x + 4)°
To find the measure of angle V, first find the value of x.
<u>Interior angles of a triangle sum to 180°</u>.
⇒ m∠U + m∠V + m∠W = 180°
⇒ (9x - 8) + (2x + 2) + (3x + 4) = 180
⇒ 9x + 2x + 3x - 8 + 2 + 4 = 180
⇒ 14x - 2 = 180
⇒ 14x = 182
⇒ x = 13
<u>Substitute</u> the found value of x into the expression for angle V:
⇒ m∠V = 2(13) + 2
⇒ m∠V = 26 + 2
⇒ m∠V = 28°
Therefore, the measure of angle V is 28°.
Learn more about interior angles of a triangle here:
brainly.com/question/27682937
