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Natasha_Volkova [10]
2 years ago
6

Find the distance between the line 1.2x − 0.5y + 1.1=0 and the origin.

Mathematics
1 answer:
denpristay [2]2 years ago
7 0

Answer:

The answer to your question is: d = 0.85 units

Step-by-step explanation:

Data

Line equation:  1.2 x − 0.5 y + 1.1 = 0        A = 1.2; B = -0.5; C = 1.1

Point (0, 0)                                                  x = 0; y = 0

Formula

d = | Ax + By + C | / √(A² + B²)

Process

d = |(1.2)(0) + (-0.5)(0) + 1.1 | / √ (1.2)² + (0.5)²

d = | 1.1 | / √ 1.44 + 0.25

d = 1.1 / √ 1.69

d = 1.1 / 1.3

d = 0.85 units

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Find the value of this expression if x = -4.<br> x2 – 7<br> x + 1
Eduardwww [97]

Answer:

First one equals -15

Second one equals -3

Step-by-step explanation:

(-4)*2 - 7

= (-8) - 7

= (-15)

(-4) + 1

= (-3)

Hopefully this helps.

3 0
3 years ago
F(x)=x+3 , G(x)=x^2-2<br> (F/G)(-1)-G(3)
trapecia [35]

f(x)=x+3;\ g(x)=x^2-2\\\\\left(\dfrac{f}{g}\right)(-1)-g(3)=?\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\g(3)=3^2-2=9-2=7\\\\f(-1)=-1+3=2\\\\g(-1)=(-1)^2-2=1-2=-1\\\\\left(\dfrac{f}{g}\right)(-1)-g(3)=\dfrac{2}{-1}-7=-2-7=-9

7 0
2 years ago
You buy milk at $2.48 per gallon. One portion of oatmeal requires 4 ounces of milk. How much does the milk for one portion cost?
xeze [42]
7.75 is your answer
hope this helps
3 0
2 years ago
The measure of 5 of the interior angles of a hexagon are 110, 120, 90, 140, and 125. what is the measure of the smallest exterio
Romashka-Z-Leto [24]

Answer:

A) 40

Step-by-step explanation:

The sum of the interior angles of a regular polygon is:

(n - 2) \times 180

For a hexagon, we put n=6

(6 - 2) \times 180 = 4 \times 180 = 720

Let x be the 6th interior angle, then

x + 110  + 120 + 90 + 140 + 125 = 720

x + 585 = 720

x = 720 - 585 = 135

The largest interior angle is 140°

Therefore the least exterior angle will be:

180 - 140 = 40

The correct choice is A

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3 years ago
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