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Salsk061 [2.6K]
3 years ago
15

Find the equation of a line through (4,-5) perpendicular to 6x-2y=7

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Answer: y=-1/3+2/3

Step-by-step explanation:

1. 6x-2y=7 subtract 6x from both sides.

2. -2y=-6x+7 divide both sides by -2 to isolate y

3. y=3x+7 that’s the y=Mx+b format, now we must find the negative inverse of the slope (m) which is -1/3.

4. Plug in variables.

-5=-1/3(4)+b

5. Solve:

-5=-4/3+b

add 4/3 to both sides to get -3 2/3=b

6. Make y=mx+b equation.

y=-1/3x+2/3

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Which two triangles are congruent? Complete the congruence statement.​
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Answer:

ΔSTU ≅ ΔBDC

Step-by-step explanation:

In ΔSTU and ΔBDC,

∠S ≅ ∠B [Given]

∠T ≅ ∠D [Given]

SU ≅ BC [Given]

Since, two corresponding angles and non included side of the angles are equal in measure.

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5 0
3 years ago
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
OLga [1]
Hello there!

How do you find the y-intercept?

Answer: To find the y-intercept, substitute in 0 for x and solve for y

y = x² + 3x + 5

y = (0)²  + 3(0) + 5

y = 0 + 0 + 5

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Thus, the correct answer is option D (0,5)

I really hope this answer is clear enough for you to understand. If you have questions about the answer, please let me know.

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3 0
3 years ago
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2 years ago
What property is shown by the equation?
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E. negative one property of multiplication.
3 0
3 years ago
Need some help please would really be greatful
Gnesinka [82]

Answer:

x = 100°

Step-by-step explanation:

Actually the drawing is very inaccurate, so it is a regular pentagon, otherwise x would be 60° and none of the answers would fit.

The formula for finding the sum of all angles in a polygon is:

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Here n = 5, so the sum of all angles is (5-2) * 180° = 540°

x + 2x + 86 + 92 + 62 = 540

3x = 300

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