Solve for x. Round to the nearest hundredth
1 answer:
Answer:
D
Step-by-step explanation:
We name the corners of the triangle as the attached image.
As we can see, triangle ABC is a right-angled triangle with Angle B equal to 90 degree.
As ABC is a right triangle, so that total measures of angle A and angle C is 90 degree
=> m∠A + m∠C = 90
=> m∠A + 45 = 90
=> m∠A = 90 - 45 = 45
=> m∠A = m∠C
So that ABC is also an isosceles triangle.
=> AB = AC = x
As ABC is a right triangle, according to Pythagoras theorem, we have the following equation:
AB^2 + BC^2 = AC^2
=> x^2 + x^2 = 20^2
=> 2.x^2 = 400
=> x^2 = 400/2 = 200
=> x = ≈ 14.14
So that x ≈ 14.14, the correct answer is D
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Answer:
Opt. D.
Step-by-step explanation:
To solve this problem we need to focus our attention in the abs(x-1) function,
If x>1, then abs|x-1|= x-1, if x<1 then abs|x-1|= 1-x. And in the two intervals, the function opens upwards.
But our function has -3 multiplying abs|x-1|, This means that our function opens downward.
The vertex point can be found when x=1, since abs(x-1)=0. this gives f(1)=12
