3 years ago

Match the vocabulary with the appropriate definition

Mathematics

1 answer:

finlep [7]3 years ago

4 0

Origin (0,0), x-axis left to right, y-axis up and down (vertical)

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Determine if line AB is tangent to the circle.

Charra [1.4K]

Answer:

7) No

8) Yes

Step-by-step explanation:

Tangent lines are perpendicular to the radius lines at the point of intersection. So we just need to check if these are right triangles.

7) c² = a² + b²

20² = 12² + 14²

400 = 340

8) c² = a² + b²

13² = 7.8² + 10.4²

169 = 169

Yes

6 0

3 years ago

If c(x)= 5/x-2 and d(x) = x + 3, what is the domain of (cd)(x)?

Nataly [62]

$(fg)(x)=f(x)\cdot g(x)\\\\\text{We have}\ c(x)=\dfrac{5}{x-2}\ \text{and}\ d(x)=x+3.\ \text{Substitute}\\\\(cd)(x)=\dfrac{5}{x-2}\cdot(x+3)=\dfrac{5(x+3)}{x-2}\\\\\text{Domain:}\\\\\text{The denominator must be different than zero. Therefore}\\\\x-2\neq0\to x\neq2\\\\Answer:\ \text{Domain is the set of all real numbers except 2}\to D=\mathbb{R}-\{2\}$