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guajiro [1.7K]
4 years ago
14

Which relationship is always correct for the angles p, q, and r of triangle ABC?

Mathematics
1 answer:
irakobra [83]4 years ago
8 0
The correct answer is "D".

q+r=p

Because the missing angle would equal 180-q-r, it would be the same as p. The one angle (the unmarked) is supplementary to the missing angle. (180 degrees)

I hope this helps!
~kaikers
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Is the correctx 25<28
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Yes

Step-by-step explanation:

25 is less than 28

28 is greater than 25

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Find the slope of the line that passes through (6 , 2) and ( 1 ,10).
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Answer: Slope: -1.6

Use the slope formula

substitute point values in the formula

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Simplify each other side of the equation

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A relation is (1 point) Select one: a. the output (y) values of the relation b. the input (x) values of the relation c. a set of
ArbitrLikvidat [17]

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a. the output (y) values of the relation

Step-by-step explanation:

The range of a function is the set of all possible values that a dependent variable would take.

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3 years ago
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F(x)=x^2-3x+18 how many distinct real number zeros does f have?
vampirchik [111]

Answer:

None of the distinct real number zeros the function have.

Step-by-step explanation:

Considering the function

f(x)=x^2-3x+18

The zeroes of a function are those values that touches the x-axis. In order to find those values we must

Set  f(x) = 0 in order to find those values

0=x^2-3x+18

\mathrm{Switch\:sides}

x^2-3x+18=0

\mathrm{Solve\:with\:the\:quadratic\:formula}

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-3,\:c=18:\quad x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

x=\frac{-\left(-3\right)+\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

x=\frac{3+\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

As

3+\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}=3+\sqrt{63}i

so

x=\frac{3+\sqrt{63}i}{2\cdot \:1}

x=\frac{3+3\sqrt{7}i}{2}

x=\frac{3}{2}+\frac{3\sqrt{7}}{2}i

Similarly,

x=\frac{-\left(-3\right)-\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}:\quad \frac{3}{2}-i\frac{3\sqrt{7}}{2}

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

x=\frac{3}{2}+i\frac{3\sqrt{7}}{2},\:x=\frac{3}{2}-i\frac{3\sqrt{7}}{2}

BUT, NONE OF THEM ARE REAL NUMBER ZEROS.

Therefore, none of the distinct real number zeros the function have.

5 0
4 years ago
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