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1 year ago

For each ordered pair determine whether it’s a solution to Y=6x-4

Mathematics

1 answer:

prisoha [69]1 year ago

8 0

Answer:

The answer is in the image

Step-by-step explanation:

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allsm [11]

Answer:

240 yd^3

Step-by-step explanation:

6 0

3 years ago

If using the method of completing the square to solve the quadratic equation x^2-13x+14=0, which number would have to be added t

nevsk [136]

Answer:

169/4

Step-by-step explanation:

Take the coefficient of the x term. Here it's -13. Now halve that, obtaining -13/2. Finally, square this result. We get 169/4. This is the desired number.

x^2 - 13x + 169/4 - 169/4 + 14 = 0

7 0

2 years ago

A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a

DENIUS [597]

Answer:

A(x) = x(200-x)

Step-by-step explanation:

400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet

If x is length and y is breadth. Perimeter is given by :

P = 2(x+y)

400 = 2(x+y)

⇒ (x+y) = 200 .....(1)

y = 200-x

Area of a rectangle is given by :

A = xy

A(x) = x(200-x)

Hence, the area as a function of length of rectangle is x(200-x).

3 0

3 years ago

Is (5.7) a solution for the following system of equations? y=2x-3 y=x+2

alukav5142 [94]

Answer: yes y=2x-3, y=x+2 : y=7, x=5

4 0

2 years ago

A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i

lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

It should be noted that to apply Thales' Theorem, it is necessary to establish the two triangles are similar, that is, that they have the corresponding angles equal or that their sides are proportional to each other.

Now, if we measure the shadow of the flagpole and the shadow of the person, at the same moment, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where $H$ is the height of the flagpole, $h=6 ft$ is the height of the person, $A=5 ft$ is the length of the shadow of the flagpole and $a=1\frac{1}{2}=1.5 ft$ is the length of the shadow of the person.