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morpeh [17]
3 years ago
12

What is the equation of the line that passes through point (4, 12) and has a y-intercept of —2?

Mathematics
2 answers:
zmey [24]3 years ago
5 0

Answer:

<h2>y = 3.5x - 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

<h3>y = mx + b</h3>

m - slope

b - y-intercept

We have y-intercept b = -2. Substitute:

<h3>y = mx - 2</h3>

We have the point (4, 12) → x = 4, y = 12. Put them in the equation:

12 = 4m - 2         <em>add 2 to both sides</em>

14 = 4m       <em>divide both sides by 4</em>

14/4 = m → m = 3.5

Fofino [41]3 years ago
3 0

Answer:

y = 3.5x - 2

Step-by-step explanation:

We know that the y-intercept of our equation is -2, so our current equation is: y = mx - 2. Now we have to find m, which is the slope. Now, we plug in the points into the equation y = mx - 2, and we get 12 = 4m - 2. Thus, m is 3.5. Our final equation is y = 3.5x - 2.

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Can u conclude that these triangles are congruent yes or no
Serjik [45]

Answer:

yes

Step-by-step explanation:

Hello! these triangles are congruent because they meet the following criteria:

1) they have 3 sides which are the same(you can tell by the number of lines on each side that they are same)

2) they have the same angle

it does not matter if the triangle is flipped, the triangle still has the 3 same angles and sides hence its congruent

7 0
3 years ago
Ence between 4 twenty fives and 3 twenty fives
kupik [55]
The difference between 100 and 75 is 25.
4 0
2 years ago
Solve the equation and show each step:<br> 25 - 4x = 15 - 3x + 10 - X
dimulka [17.4K]

Answer:

All real numbers.

Step-by-step explanation:

25-4x=15-3x+10-x

25-4x-(-3x)-(-x)=15+10

25-4x+3x+x=25

25-x+x=25

25=25

3 0
2 years ago
Oreos 2.98 for 15.5.Oz or chips ahoy for 2.50 for 14.Oz I pick chips ahoy BUT ITS ASKING UNIT RATE CENTS PER OZ
LiRa [457]

Answer:

Unit rate of oreos = 19.23 cents/oz

Unit rate of Chips Ahoy = 17.86 cents/oz

The cheapest and most affordable is the chips ahoy because it has a lower unit rate.

Step-by-step explanation:

Oreos 2.98 for 15.5.Oz or chips ahoy for 2.50 for 14.Oz I pick chips ahoy BUT ITS ASKING UNIT RATE CENTS PER OZ

We would be finding the Unit Rate of each product.

For Oreos

Oreos $2.98 for 15.5.Oz

We convert dollars to cents

1 dollars = 100 cents

2.98 dollars = x

x = 2.98 × 100 cents

= 298 cents

Hence, the unit rate in cents/oz

= 298 cents/15.5 oz

= 19.225806452 cents/oz

= 19.23 cents/oz

For Chips ahoy

$2.50 for 14.Oz

We convert dollars to cents

1 dollars = 100 cents

2.50 dollars = x

x = 2.50 × 100 cents

= 250 cents

Hence, the unit rate in cents/oz

= 250 cents/14 oz

= 17.857142857 cents/oz

= 17.86 cents/oz

Therefore, the cheapest and most affordable is the chips ahoy because it has a lower units rate.

8 0
3 years ago
In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin di
Sav [38]

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

8 0
2 years ago
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