MATHEMATICS MIDDLE SCHOOL

I need help solving this

Answers

Answer 1

Answer:

Step-by-step explanation:

So in the equation given, y = 2x -3

you substitute x for whats given in the table in the x column.

Example

In the graph the first number under the x colum is -1.

y = 2x - 3 in the equation you take out x and put -1.

So now the equation becomes y = 2 × -1 - 3.

Using bedmas to solve the question you should get -5

Which now means y = -5

To plot the point now x would be -1 and y would be -5 (-1, -5)

Same thing for the second number in the x Column.

y = 2 × 1 - 3 which equals -1

To plot it

x = 1 y = -1. (1, -1)

And for the last number 3.

Agai. You substitute x for 3 which makes the equation y = 2 × 3 - 3

this gives you 3 and to plot it

x would be 3 and y would be 3

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a jet airliner flies 4,100 km from New York City to San Francisco in 4.25 h. What is its average speed?

Answers

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The averagespeed of the jet airlines is 965 km per hour

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

A jet airliner flies 4,100 km from New York City to San Francisco in 4.25 h.

This can be written as,

Distance = 4,100 km

Time = 4.25 hours

The averagespeed.

= Distance / Time

= 4,100 / 4.25

= 965 km per hour

Thus,

The averagespeed of the jet airlines is 965 km per hour

Learn more about speed here:

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the average speed is 964.7 because you divide the numbers o get the quotient of 964.7. therefore, his average speed is 964.7.

What is the length of Line BC?

Answers

The length of Line BC is 10

What is a triangle?

A figure bounded by 3 sides and all the internal angles add up to 180 ° is called a triangle.

What are similar triangles?

Triangles having the same corresponding angles measures and proportional side lengths are called similar triangles.

How to find the length of the line BC?

Considering Δ AXY and ΔABC

∠AXY = ∠ACB (corresponding angles are equal)

∠AYX = ∠ABC (corresponding angles are equal)

∠A is common in both the triangles

∴ We can say the triangles are similar .

Now, let H be the height of ΔABC and h be the height of ΔAYX

So, we can say, $(XY)/(BC) = (h)/(H)$

Now, we know that area of the triangle can be found with the help of the formula (1/2)x(base)x(height)

So, $(AYX)/(ABC) = (7.5)/(30)$

⇒ ${((1)/(2) (XY) h )/((1)/(2)(BC) H ) = (1)/(4)$

Now, substituting XY = 5 and $(XY)/(BC) = (h)/(H)$ in the above equation, we get

$(25)/(BC^(2) ) = (1)/(4)$

⇒ BC² = 100

⇒ BC = ± 10

Since BC is the length , so it cannot be negative.

So, the negative value is rejected.

∴ BC = 10

Option B is correct.

Find more about "Similar Triangles" here: brainly.com/question/2644832

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ANSWER:

10

The length of line BC is 10.

EXPLANATION:

Triangle ABC is four times the area of triangle AYX.

Area of triangle ABC = 4 × Area of triangle AYZ

This is as:

30 = 4 × 7.5

THEREFORE:

The length of line BC must be twice of the length of line XY.

BC = 2 × XY

BC = 2 × 5

BC = 10

. A referee was standing on a certain yard line as the first quarter ended. He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line?

Answers

Answer: The referee was 29.125 yards from the nearest goal line.

Step-by-step explanation:

Since we have given that

Length of line = 100 yards

Let the x be the distance at the end of quarter nearest goal line .

According to question, He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left.

So, it becomes,

$100-2x=41(3)/(4)\n\n100-2x=(167)/(4)\n\n-2x=(167)/(4)-100\n\n-2x=(167-400)/(4)\n\n-2x=-(233)/(4)\n\nx=(233)/(4* 2)\n\nx=(233)/(8)\n\nx=29.125\ yard$

Hence, the referee was 29.125 yards from the nearest goal line.

100 yards minus 41 3/4 which is 58 1/4 divided by 2 which is 29 1/2

Can someone please tell me if i am right?

Answers

Second one is correct, that is an identity.

Third one is a contradiction:
6x - 15 = 3 * (2x - 6) ------> 6x - 15 = 6x - 18

Fourth one:
5x - 3 * (x - 4) = 2 * (x - 6) ---> 5x - 3x + 12 = 2x - 12 ---> 2x + 12 = 2x -12
So this is a contradiction as well.

What is x2+2x-8=0 by factoring ?