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Aleonysh [2.5K]
3 years ago
5

Point slope question

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer: (y + 3) = -1/3 (x - 2)

Step-by-step explanation:

Point-slope form has the form of

y - y1 = m (x - x1)

Where

y1 is the y-value of a point on the line

x1 is the x-value of a point on the line

m is the slope of the line

The problem already gives a point on the line, (2, -3)

(y + 3) = m (x - 2)

Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )

The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is

3x - y = 4

When rearranged to slope-intercept form, we get

y = 3x - 4

Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.

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If AD BD, which of the following relationships can be proved and why?
VLD [36.1K]

IfIf AD BD, the following relationships that can be proved and why is: D. ΔACD ΔBCD, because of SAS.

<h3>Relationship that can be proved if AD=BD</h3>

The relationship that can be proved is ΔACD ΔBCD, because of SAS.

The reason is that m<CDA=M<CDB=90°

CD=CD

AD=BD

Hence, ΔACD=ΔBCD because of SAS. SAS congruence can tend to be proved when the length of the two side correspond and when  the angle between the two side is equal.

Therefore the correct option is D.

Learn more about Relationship that can be proved if AD=BD here:brainly.com/question/16906407

#SPJ1

7 0
2 years ago
So like this am or wrong should I change something
Rainbow [258]

Answer:

ITS WRONG..

1)A and B

2)D

Take 4 as common in first expression

simplify second expresdion you will get 11y +12

8 0
3 years ago
Explain why days, grams, and centimeters are not the appropriate units to use for the mass of an elephant. Mention a realistic u
KonstantinChe [14]
Its best to use higher measurements with bigger stuff and it will save a ton of time
5 0
4 years ago
Read 2 more answers
What is the measure of Angle
postnew [5]

Answer:

90°

Step-by-step explanation:

90°

8 0
3 years ago
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There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are the
zlopas [31]

Answer:

(a) How many are there to select 2 pairs of gloves?

10 ways

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

130 ways

Step-by-step explanation:

For the above questions we apply that combination formula

(a) How many are there to select 2 pairs of gloves?

There are 5 pairs of gloves according to the question above, hence:

5C2 = 5!/2! × (5 - 2)!

= 5!/2! × 3!

= 5 × 4 × 3 × 2 × 1/2 × 1 × 3 × 2 × 1

= 10 ways.

Therefore, there are 10 ways to select 2 pairs of gloves

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

i) A way to select 4 gloves out of 10 gloves =

10C4 = 10!/4! ×(10 - 4)!

= 10!/ 4! × 6!

= 210 ways

ii) In order for 2 of the 4 gloves selected to be a pair, note that we have 5 pairs of gloves hence:

5 × 2⁴

= 80 ways.

Therefore, the number of ways which we can select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.) = 210 ways - 80 ways

= 130 ways

4 0
3 years ago
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