Do all parent functions pass through (0,0)

Mathematics

1 answer:

dlinn [17]3 years ago

3 0

Nope.

An example would be the graph of $y = \log x$ . The graph does not pass through (0, 0) as it is undefined.

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A triangle has one 90-degree angle and one 38.7 - degree angle. What is the measure of the third angle?

tigry1 [53]

The answer is 51.3 degrees because you add 90+38.7=128.7
then you do 180-128.7 because this is a linear/ supplementary triangle which adds up to 180
and you get 51.3 degrees

4 0

3 years ago

Write an equation of the circle with center , −45 and radius 6 .

IceJOKER [234]

The general equation for a circle, $x^2+y^2=1$ , falls out of the Pythagorean Theorem, which states that the square of the hypotenuse of a right triangle is always equal to the sum of the squares of its legs (you might have seen this fact written like $a^2+b^2=c^2$ , where a and b are the legs of a right triangle and c is its hypotenuse. When we fix c in place and let a and b vary (in a sense, at least; their values are still dependent on c), the shape swept out by all of those possible triangles is a circle - a shape defined by having all of its points equidistant from some center.

How do we modify this equation to shift the circle and change its radius, then? Well, if we want to change the radius, we simply have to change the hypotenuse of the triangle that's sweeping out the circle in the first place. The default for a circle is 1, but we're looking for a radius of 6, so our equation, in line with Pythagorus's, would look like $x^2+y^2=6^2$ , or $x^{2} +y^2=36$ .

Shifting the center of the circle is a bit of a longer story, but - at first counterintuitively - you can move a circle's center to the point (a,b) by altering the x and y portions of the equation to read:

$(x-a)^2+(y-b)^2$

7 0

3 years ago

2. Mia is making a set of clay bowls. Each bowl requires 3 /4 pound of clay. She has 5_ 5/ 6 pounds of clay. How many complete b

andreyandreev [35.5K]

Answer: 7 bowls

Step-by-step explanation:

5_ 5/6 divided by 3/4 equals 7.77777

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2 years ago

Read 2 more answers

the Andersons kept track of the time they spent watching television. Part A wich bar diagram represents the number of hours the

DENIUS [597]

Part A:

Part B:

$\begin{gathered} 4\frac{5}{6}=\frac{29}{6} \\ 3\frac{4}{6}=\frac{11}{3} \\ so\colon \\ \frac{29}{6}+\frac{11}{3}=\frac{17}{2}=8\frac{3}{6} \end{gathered}$

Part C:

$\begin{gathered} 3\frac{1}{6}=\frac{19}{6} \\ 2\frac{3}{6}=\frac{15}{6} \\ so\colon \\ \frac{29}{6}+\frac{11}{3}+\frac{19}{6}+\frac{15}{6}=\frac{85}{6}=14\frac{1}{6} \end{gathered}$

Part D: