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4 years ago

Find the equation for the line that passes through the point (1,−4) and that is parallel to the line with the equation y=4.

Mathematics

1 answer:

diamong [38]4 years ago

6 0

Answer:

y = -4.

Step-by-step explanation:

The line with equation y = 4 is a horizontal line on the coordinate plane which passes through the y-axis at y = the point (0, 4).

The other line parallel to this must also be horizontal and , as it passes through the point (1 , -4), must also pass through the y-axis at ( 0, -4). The equation of this line is y = -4.

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X2 + 7x – 18<br> x2 – 15x + 54

77julia77 [94]

(X-2)(x+9)
(X-9)(x-6)

5 0

3 years ago

A bottle rocket is shot off a bridge into the stream below. The height of the rocket (in feet) above

nalin [4]

The correct model of the height of rocket above water is;

h(t) = -16t² + 96t + 112

Answer:

time to reach max height = 3 seconds

h_max = 256 ft

Time to hit the water = 7 seconds

Step-by-step explanation:

We are given height of water above rocket;

h(t) = -16t² + 96t + 112

From labeling quadratic equations, we know that from the equation given, we have;

a = -16 and b = 96 and c = 112

To find the time to reach maximum height, we will use the vertex formula which is; -b/2a

t_max = -96/(2 × -16)

t_max = 3 seconds

Thus, maximum height will be at t = 3 secs

Thus;

h_max = h(3) = -16(3)² + 96(3) + 112

h_max = -144 + 288 + 112

h_max = 256 ft

Time for it to hit the water means that height is zero.

Thus;

-16t² + 96t + 112 = 0

From online quadratic formula, we have;

t = 7 seconds

7 0

3 years ago

What percentage of households in the survey have four or more televisions?

Ratling [72]

Answer:

2.5% ?

Step-by-step explanation:

.025 as percentage is 2.5%

5 0

3 years ago

If the hypotenuse of a right triangle is 15 inches and one leg is 9 inches, the measure of the angle between these sides, rounde

katrin [286]

If the angle is x we have

cos x = 9/15 = 0.6

x = 53 degrees

So it's false.

3 0

4 years ago

Ryan set a table with a fork, knife, and spoon for each dinner guest. He used a total of 36 pieces of silverware. Which number s

Debora [2.8K]

Answer:

The Number sentence 36 ÷ 3 will be used to find number of guest invited in Ryan dinner.

There were 12 guests invited to Ryan's dinner.

Step-by-step explanation:

Given:

Total Number of pieces = 36 pieces.

Also Given:

Ryan set a table with a fork, knife, and spoon for each dinner guest.

From above we can conclude that;

Number of Piece for each Dinner guest = 3 piece.

We need to find the number of guest invited in Ryan dinner.

number of guest invited in Ryan dinner will be equal to Total Number of pieces used for guest divided by Number of Piece for each Dinner guest.

framing in equation form we get;

number of guest invited in Ryan dinner = $\frac{36}{3}=12 \ guest$

Hence The Number sentence 36 ÷ 3 will be used to find number of guest invited in Ryan dinner.

Also There were 12 guests invited to Ryan's dinner.

8 0

4 years ago