3 years ago

There is a line whose y-intercept is 7 and whose slope is 3. What is the equation in slope intercept form?

Mathematics

1 answer:

avanturin [10]3 years ago

5 0

Answer:

y = 3x + 7

Step-by-step explanation:

Slope intercept form: y = mx + b

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The function c=3x-y is minimized at the vertex point of the feasible region at (4,5). What is the minimum value

Softa [21]

(x,y)=(4,5)

c = 3x-y = 3(4) - 5 = 7

Answer: 7

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4 years ago

Find the distance between points P(3, -8) Q(7,4). Round to the nearest tenth if necessary

Gnom [1K]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

$\mathsf{d=\sqrt{(x_Q-x_P)^2+(y_Q-y_P)^2}}$

"d" represents the distance and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{d=\sqrt{(x_Q-x_P)^2+(y_Q-y_P)^2}}\\\\ \mathsf{d=\sqrt{(7-3)^2+(4-(-8))^2}}\\\\ \mathsf{d=\sqrt{(4)^2+(4+8)^2}}\\\\ \mathsf{d=\sqrt{16+(12)^2}}\\\\ \mathsf{d=\sqrt{16+144}}\\\\ \mathsf{d=\sqrt{160}}\\\\ \mathsf{d=12,649110640673...}\\\\ \underline{\mathsf{d\approxeq12,6}}$