Answer:
x=0. The explanation is below.
Step-by-step explanation:
So, it is run 2 rise 6. We can fact-check that with 1 to 3 to 5 and 1 to 7 to 13. So, the slope is 3 because of rise over run. So, we can make an equation with y = mx + b. m = 3 because that is the slope. 1=3(1) + b. b=-2. So, the equation is y=3x-2. We can find any x using y and vice versa if we find the equation.
For this part, -2=3x-2. 3x=0. x=0.
Answer:
(a) f⁻¹(x) = 2x - 8
(b) f⁻¹(4) = 0
Step-by-step explanation:
This is usually not too difficult if you write the equation as y = f(x), then swap x and y and solve for y.
... y = (1/2)x + 4 . . . . y = f(x)
... x = (1/2)y + 4 . . . . variables swapped
... x - 4 = (1/2)y . . . . . subtract 4
... 2(x -4) = y . . . . . . multiply by 2
... y = 2x - 8 . . . . . . simplify
... f⁻¹(x) = 2x -8
____
Evaluating this for x=4, we get
... f⁻¹(4) = 2·4 - 8 = 0
Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
Well the only thing that would make these triangles not congruent is dilation, Thus, translation, reflection, and rotations all make the triangles congruent.
The bottom one and third one are not congruent while everything else is.
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1. 30≥3
2. the tens digit is larger that the ones digit
