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MrRa [10]
3 years ago
14

Find the equation of the line with slope m=1/2 that contains the point (4,6)

Mathematics
1 answer:
vazorg [7]3 years ago
4 0

Answer:

y = 1/2x + 4

Step-by-step explanation:

Use the formula for the equation of a line.

y = mx + b

Where m is the slope, and b is the y-intercept.

The slope is given.

y = 1/2x + b

The points (x, y) are given.

(4, 6)

Put y as 6 and x as 4, solve for b.

6 = 1/2(4) + b

6 = 2 + b

6 - 2 = b

4 = b

The y-intercept is 4 or (0, 4).

The equation of the line is y = 1/2x + 4.

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Answer:

16\pi

Step-by-step explanation:

4 0
3 years ago
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What additional information would you need to prove by the HL theorem?
Butoxors [25]

Answer:

<em>Answer:</em> <em>A</em>   \overline{TM}\cong \overline{OR}

Step-by-step explanation:

The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.

Both triangles are right because they have an internal angle of 90°, so the second condition is also met.

Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.

One of these two conditions should be met:

Side TM is congruent to side OR, or

Side MO is congruent to side RT.

From the available options, only the first is correct.

Answer: A \mathbf{\overline{TM}\cong \overline{OR}}

8 0
3 years ago
Help...
PolarNik [594]

Answer: perm will cost $48

Step-by-step explanation:

Let x be cost of haircut

So perm will cost her 2x

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x + 2x + 5 = 77

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x = 24

Perm will cost 2x24 = 48

4 0
3 years ago
ANSWER ASAP AND I WILL MARK YOU BRANLIEST. Tomas makes balloon sculptures at a circus. In 96 minutes, he uses 160 balloons to ma
Alexus [3.1K]

Answer:

Step-by-step explanation:

(96 minutes)/(32 sculptures) = (96/32 minutes)/sculpture = (3 minutes)/sculpture

It takes 3 minutes to make one sculpture.

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It takes 5 balloons to make one sculpture.

(160 balloons)/(96 minutes) ≈ 1.7 balloons used per minute.

6 0
3 years ago
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It takes Ebru 131313 minutes to bike to school. If she walks, it takes her twice as long. Ebru leaves for school at 7{:}157:157,
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Answer: 7:41 am

Step-by-step explanation:

It takes Ebru 13 minutes to bike to school but if she walks it would take her twice at long.

= 13 * 2

= 26 minutes

If she leaves the house at 7:15 , she will arrive at:

= 715 + 26

= 7:41 hours

3 0
2 years ago
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