2 years ago

Which general rule maps triangle ABC into triangle A’B’C’?

Mathematics

1 answer:

Alenkasestr [34]2 years ago

3 0

A sequence of transformations maps triangle ABC into triangle A’B’C

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Write 79031 in two different ways

FinnZ [79.3K]

70,000+9,000+30+1
Seventy thousand nine hundred thirty one

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3 years ago

Suppose that two cards are randomly selected from a standard 52-card deck. (a) what is the probability that the first card is

Savatey [412]

(a) without replacement:
P(S)=13/52=1/4
P(SS)=(1/4)*(12/51)=1/17
Probability of selecting two spades without replacement is 1/17.

(b) with replacement
P(S)=13/52=1/4
P(SS)=(1/4)(13/52)=1/16
Probability of selecting two spades with replacement is 1/16.

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3 years ago

The parabola x = y² - 9 opens:

irinina [24]

This is what it looks like. It opens to the right.

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3 years ago

Read 2 more answers

Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

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3 years ago

Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to catch up to the truck? How fa

creativ13 [48]

<span>t = 20/(r-50)</span>t=20/r-50 hours

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4 years ago