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cupoosta [38]
2 years ago
10

Write an equation of the line that passes through the points (1, 2) and (4, 8)

Mathematics
2 answers:
cestrela7 [59]2 years ago
8 0

Answer:

y = 2x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 8)

m = \frac{8-2}{4-1} = \frac{6}{3} = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2 )

2 = 2 + c ⇒ c = 2 - 2 = 0

y = 2x ← equation of line

faust18 [17]2 years ago
6 0

Answer:

2x-y=0 / y=2x

Step-by-step explanation:

6x-3y=0, 2x-y=0

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Simplify polynomial
Kay [80]

Answer:

j² - 5j²k - 2

Step-by-step explanation:

3j² - j²k - 6 - 4j²k - 2j² + 4

To simplify this polynomial, we can collect like terms. A term is number(s) or variable(s) that are grouped together by multiplication. <u>Like terms have the same variable and exponent</u>.

We have three groups of like terms:

The j-squares (j²), the j-squared k (j²k) and the constants (no variable).

Remember to include the negatives!

The j-squares are: 3j² ; -2j²

The j-squares k are: - j²k ; - 4j²k

The constants are: - 6 ; 4

Simplify:

3j² - j²k - 6 - 4j²k - 2j² + 4

Rearrange the polynomial by like terms

= (- j²k - 4j²k) +  (3j² - 2j²) + (- 6 + 4)

Add or subtract the like terms

= (-5j²k) + (j²) + (-2)

Remove brackets and rearrange so the negative is not first

= j² + - 5j²k + - 2

Simplify where two signs are together. Adding a negative is subtraction.

= j² - 5j²k - 2                  Simplified

8 0
3 years ago
Which ratio is equivalent to 8/32?<br><br> A. 2/4<br> B. 3/16<br> C. 1/4<br> D. 1/25
marusya05 [52]
The answer is C.1/4 I'm sure of it!

I hope that this helps you.

Have a great day. :)
5 0
3 years ago
Read 2 more answers
I need help and the answer
tankabanditka [31]
Sogsifhxfulxc j Jvari
5 0
3 years ago
Can you help me please?
Nina [5.8K]

Answer:

53/54 = 106/108

Step-by-step explanation:

You can find the answer because 53/54 * 2/2 = 106/108

2/2 = 1 - right? When you multiply any number by one, it stays the same. That's how you can tell, 53/54 = 106/108.

4 0
3 years ago
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Use the above figure to answer the question. What's the angle between the tangents at T in the figure?
Gnoma [55]

I believe that the answer is B) 60°.

Because the angle inside the circle equals 120°, and since these are 30°, 60°, 90° triangles, angles A and B are both 90°.

Which means that the remaining angles outside the circle each equal 30°.

Therefore, when both of these angles are added together, ∠T = 60°

4 0
3 years ago
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