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pav-90 [236]
3 years ago
11

Please help i will mark brainliest

Mathematics
1 answer:
Art [367]3 years ago
7 0

Answer:

The coordinates of mage of L(5, 10) will be: (11, 3)

So, the 4th (last) option is correct.

Step-by-step explanation:

As we know that Translation means how much a point is moved to the left/right and up/down.

  • Given the translation maps the point J(1, 4) onto K(7, -3).

As the x-coordinate of the image point K(7, -3) is 7 which is 6 units right to the original point J(1, 4).

Also, the y-coordinate of the image point K(7, -3) is -3 which is 7 units down to the original point J(1, 4)

so it means the translation basically implies that

(x, y) → (x + 6, y - 7)

Hence, the coordinate of the image of L(5, 10) can also be determined by

using the same rule.

(x, y) → (5 + 6, 10 - 7) = (11, 3)

Therefore,  the coordinates of mage of L(5, 10) will be: (11, 3)

So, the 4th (last) option is correct.

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7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S
Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.

This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.

5 0
2 years ago
What is the area of the shaded region?
Mekhanik [1.2K]

9514 1404 393

Answer:

  434 -49π ≈ 280.1 cm²

Step-by-step explanation:

The shaded area is the difference between the enclosing rectangle area and the circle area.

The rectangle is 14 cm high and 31 cm wide, so has an area of ...

  A = WH

  A = (31 cm)(14 cm) = 434 cm²

The circle area is given by ...

  A = πr²

  A = π(7 cm)² = 49π cm²

__

The shaded area is the difference of these, so is ...

  shaded area = rectangle - circle

  = (434 - 49π) cm² ≈ 280.1 cm²

4 0
2 years ago
Help me out, please....
alex41 [277]

Answer:

5 radical 3

Step-by-step explanation:

b = √c2 - a2

= √102 - 52

= √75

= 8.66025 = 5√3

8 0
3 years ago
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emmasim [6.3K]

Answer:

B its 4 7/8 --------------

3 0
3 years ago
Solve the following system of equations:
Vladimir79 [104]

Answer:

<u><em>(-1,1)</em></u>

Step-by-step explanation:

We can solve this by either graphing and finding ther point the lines intersect, or mathematically,  I'll do both.

<u>Graphing:</u>

<u>Mathematically:</u>

−2x + 4y = 6

y = 2x + 3

See the attached graph.  The lines intersect at (-1,1)

--------------------

I'll rearrange the first equation (to make it easier for me):

−2x + 4y = 6

4y = 2x + 6

y = (1/2)x + 1.5

Now lets substitute the second equation into the first so that we can eliminate y:

y = 2x + 3

[(1/2)x + 1.5] = 2x + 3

- (3/2)x = (3/2)

x = -1

If x = -1:

y = 2(-1) + 3

y = 1

The solution is x = -1 and y = 1, or (-1,1)

=================

Both approaches give us (-1,1), the solution to the system of equations.  It is the only point that satisfies both equations.

3 0
1 year ago
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