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3 years ago

What is an equation for the line that passes through the coordinates (2,7) and (0,1)

Mathematics

1 answer:

Elenna [48]3 years ago

5 0

Answer:

(x1,y1) is (2,7)

(x2,y2) is (0,1)

Step-by-step explanation:

Points:

(x1,y1) is (2,7)

(x2,y2) is (0,1)

Point-slope form is:

(y-y1) = ( (y2-y1) / (x2-x1) )(x - x1)

y - 7 =( (-6)/(0-2) )(x-2)

y - 7 = 3x - 6

y = 3x + 1 [slope-intercept form]

Check:

Is (2,7) on the line:

7 = 3(2) + 1 ?

y = 7 ?yes

Is (0,1) on the line:

1 = 3(0) + 1 ?

1 = 1 ?yes

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sineoko [7]

Answer:

x = 6

Step-by-step explanation:

So thee cube is just x^3

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7 0

3 years ago

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Zarrin [17]

Answer:

$\dfrac{9}{2}$

Step-by-step explanation:

You can do this using the quadratic equation:

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Let's first setup our expression:

4x² + 12x = 135

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ax² + bx + c = 0

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Then:

a = 4

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Now we plug in our coefficients and solve:

$x =\dfrac{-12\pm\sqrt{12^{2}-4(4)(-135)}}{2(4)}$

We solve for both to determine the positive one:

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$x =\dfrac{-12+ \sqrt{144+2160}}{8}$ $x =\dfrac{-12- \sqrt{144+2160}}{8}$

$x =\dfrac{-12+ \sqrt{2304}}{8}$ $x =\dfrac{-12- \sqrt{2304}}{8}$

$x =\dfrac{-12+ 48}{8}$ $x =\dfrac{-12- 48}{8}$

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8 0

3 years ago

11 pounds 13 ounces = ounces

lawyer [7]

1 pound = 16 ounces so let's go ahead and convert 11 pounds to ounces by multiplying by 16. 11×16=176 and then add 13 to that 176+13=189

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3 years ago

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Karo-lina-s [1.5K]

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- x² + 5x - 3 = 0

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Quadratic formula:

$\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}$

Now, we just replace the values of a, b and c on the equation above.

$\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}$

$\frac{5}{2}\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}$

4 0

1 year ago

2. On a number line, G = 8 and H = –3. If H is the midpoint<br><br>of GI , find the coordinate of I.

MissTica

Answer:

-14

Step-by-step explanation:

the coordinate of I :

H = 8+I /2

-3 = 8+I /2

8+I = 2×(-3)

8+ I = -6

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I = -14

8 0

3 years ago