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3 years ago

Select all statements that are true about the linear equation.

1 answer:

4 0

A. True

In the equation 2x+y=4, subtracting 2x to both sides, we get y=-2x+4

B. True

The graph of equation y=-2x+4 is composed of all the solutions (x, y) of the equation.

C. Wrong

The graph of the equation is only one line, whereas the set of all points on the coordinate plane means the whole plane.

D. True

Substituting (x, y) with (1, 2) in y=-2x+4, we have 2=-2*1+4, which is true.
Thus the point (1, 2) is a solution of the equation, so it is a point on the graph of the equation.

E. False

Substituting x with 0 in -2x+4, the expression becomes 4, which is not equal to 2. So this point is not a solution, therefore it is not on the graph.

Answer: A, B, and D are true

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Answer:

The distance from your eyes to the stage is 8.85 ft

Step-by-step explanation:

Your distance to the stage is 6 feet

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You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

Observe the attached image.

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

$z ^ 2 = h ^ 2 + x ^ 2\\\\z = \sqrt{h^2 +x^2}$

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3 years ago

A triangle is reflected across line l and then line m. If the lines intersect, what kind of isometry is this composition of refl

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3 years ago

Read 2 more answers

When the family arrived in New Delhi from Rome, the youngest son asked the pilot how fast he was flying the plane. The pilot tol

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Answer:

7 hours

Step-by-step explanation:

It is given that the plane was flying at 847 km/hour. So the speed of the plane was 847 kilometers per hour.

It is also given that the distance between Rome and New Delhi is 5,929 kilometers.

We know that the distance is equal to the product of speed and time, so we have,

$d= s\times t$ , where 'd' represents the distance, 's' represents the speed, and 't' represents the time.

Putting the values we get,

$5929= 847 \times t$

Solving for 't' we get,

$t= \frac{5929}{847}=7$

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4 years ago

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Step-by-step explanation:

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3 years ago

Kenzie has. 4 pages of homework to do. If she can finish 1/3 of a page in one hour how many hours will her homework take?

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Answer:

It will take her 4 1/3 hours

Step-by-step explanation: so you know you needed to add 4 and 1/3 and you turn the 4 into 4/1 and 1/3 and since it adding you have to have the same denominator and you multiply 1x3 and if you do it on the bottom you have to do it on top so you also do 4x3 and 4x3 is 12 and one 1x3 is 3 and so you don't have to have to do it on the other fraction because now they have the same denominator now and now you add 12/3 + 1/3 and you shall get 13/3 and then you divide 13 divided by 3 and you shall get 4 1/3 and that shall be your answer.

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3 years ago