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NemiM [27]
3 years ago
9

Please help me please

Mathematics
2 answers:
myrzilka [38]3 years ago
8 0

Answer:

  • B. y = -4/3x + 22

Step-by-step explanation:

Parallel lines have the same slope.

<u>Use the given point (6, 14) and point-slope form:</u>

  • y - 14 = -4/3(x - 6)
  • y = -4/3x + 8 + 14
  • y = -4/3x + 22

Correct choice is B

Dennis_Churaev [7]3 years ago
7 0

Answer:

Solution given:

y=-4/3×x-1.......(1)

comparing above equation with y=mx+c

slope of line 1 is

m=-4/3

since the another line is parallel

slope is equal

m=m1=-4/3.

since it passes through (6,14)

we have

equation of a line is:

(y-y1)=m1(x-x1)

(y-14)=-4/3(x-6)

y=-4/3×x+4/3×6+14

y=-4/3×x+8+14

y=-4/3×x+22.

your option is b.y=-4/3×x+22.

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For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

Hope this helped

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3 years ago
The x-coordinate of point P is positive, and the y-coordinate of point P is positive. In which quadrant is point P?
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Solve each quadratic equation. Show your work 15. x2 + 3x = 10
OLEGan [10]
X² + 3x = 10

Convert to standard form.
x² + 3x - 10 = 0

factor x² = x * x
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(x + 5) (x - 2) = 0
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4 0
3 years ago
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A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far
ValentinkaMS [17]

Answer:

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Step-by-step explanation:

The final position of the surveyor is represented by the following vectorial sum:

\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3} (1)

And this formula is expanded by definition of vectors in rectangular and polar form:

(x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2}) (1b)

Where:

x, y - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

r_{1}, r_{2} - Length of each vector, in kilometers.

\theta_{1}, \theta_{2} - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that r_{1} = 42\,km, r_{2} = 28\,km, \theta_{1} = 32^{\circ} and \theta_{2} = 154^{\circ}, then the resulting coordinates of the final position of the surveyor is:

(x,y) = (42\,km)\cdot (\cos 32^{\circ}, \sin 32^{\circ}) + (28\,km)\cdot (\cos 154^{\circ}, \sin 154^{\circ})

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\theta = \tan^{-1} \frac{10.452\,km}{34.531\,km}

\theta \approx 16.840^{\circ}

And the distance from the camp is calculated by the Pythagorean Theorem:

r = \sqrt{(10.452\,km)^{2}+(34.531\,km)^{2}}

r = 36.078\,km

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Step-by-step explanation:

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