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Wittaler [7]
3 years ago
8

1.Write an equation of the line in point-slope

Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0

Answer:

<u>Point slope form</u>

y-10 = -6 (x+1)

<u>Slope-intercept form</u>

y=-6x+4

<u>Standard form</u>

4x+y=4

Step-by-step explanation:

Equation in Point slope form is

y-y_1=m (x-x_1) ---------- (1)

Here

m=-5 \ \ \ and \ \ \ (x_1, y_1) = (-1, 10)

Substituting values in equation (1)

y-10 = -6 (x+1) ------------- (2)

Equation (2) is equation of line in point slope form.

<u>Re-arranging equation (2)</u>

y = -6x - 6 + 10

y=-6x+4 ----------- (3)

Equation (3) is equation of straight line in slope-intercept form

<u>Re-arranging equation (3)</u>

<u />4x+y=4   --------(4)

Equation (4) is equation of line in standard form

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For each question (a–e) below, choose one of the answers (i–viii); explain your choice.
Natasha2012 [34]

Answer:

Step-by-step explanation:

given that a deck of cards is shuffled.

we know in a deck there are 52 cards, 13 cards of each variety spade, clubs hearts and dice.  Red are 26 and black are 26.  kings, will be 4.

(a) the top card is the king of spades and the bottom card is the queen of spades?

(iii) 1/52 × 1/52

Top has 1/52 and bottom has 1/52 and these are independent.

(b) the top card is the king of spades and the bottom card is the king of spades?

(viii) None of the above

Because it is impossible.

(c) the top card is the king of spades or the bottom card is the king of spades?

(iv) 1/52 + 1/52

This is the sum of probabilities because there is no common event for these two.

(d) the top card is the king of spades or the bottom card is the queen of spades?

(ii) 1/52 + 1/51 (once king of spades is there, then probability is 1/51 for bottom card)

(e) of the top and bottom cards, one is the king of spades and the other is the queen of spades?

(vii) 2/52 × 1/51

Because this is twice of probability d.

5 0
3 years ago
How many whole numbers less than 2,700,000  end with 2014?
DIA [1.3K]
270 hole numbers end with 2014 in 2,700,000
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3 years ago
Find the missing angle! Please add an explanation!
AlladinOne [14]

Answer:

The answer is: 58^\circ

Step-by-step explanation:

If we add the angles inside a triangle, we must have 180^\circ. So we have an 57^\circ angle and an 65^\circ angle, their sum is 122^\circ, so the missing angle must be 180^\circ-122^\circ=58^\circ

6 0
3 years ago
Alicia purchased h half gallons of ice cream for 3.50 each p packages of ice cream cones for 2.50 each she purchased 14 items an
eimsori [14]

Answer:

H + P = 14

3.50H + 2.50P = 43

Step-by-step explanation:

Given that

H denotes half gallons of ice cream

P denotes packages of ice cream cones

Now  

H + P = 14

And,  

3.50H + 2.50P = 43

So, the systems of equations would be

H + P = 14

3.50H + 2.50P = 43

4 0
3 years ago
Im in dyer need of how to solve these problems
melisa1 [442]
#4)
{ A}
Triangle ABC is congruent to triangle YXZ. How do I know this?
 Look at the angles and adjacent (bottom) line.
Because Angle A and Angle Y are both equal to (what I believe says) 78 degrees, they are equal. 
Next, Angle B is equal to Angle X because it is the angle that connects the adjacent (bottom) line and the hypotenuse (top line). Even though they have no measurements or tick marks, it's the process of elimination.
Finally, Angle C and Angle Z. We know that these are equal do to their degree similarity of (what I think is) 65.

{B} Triangle ABC is congruent to Triangle RSQ. How do I know this?
Because Angle A is congruent to the only other angle there, Angle R.
Next, B and S are congruent. If you think of them as angles, then you can see that "angle" b is connected to the leg of AB and BC. AC has one tick mark, as does RS. BC has no tick or anything to note it's congruence. So because Point be is stick in between a leg with one tick and one leg with no tick, look for the similarity in triangle RSQ. The similarity showing as S. You should understand enough now to know how I got how C and P are congruent. 

#5) Sadly I cannot read the diagram they provide, so I cannot help with it.

#6) The length of BC: ?  The length of XZ:   ?  Measure of Angle BZX: 55 degrees. 
5 0
3 years ago
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