All categories

3 years ago

Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.

1 answer:

7 0

There's more ways than one to solve this, just as there's more ways than one to skin a cat.

Two paralle lines have the same slope, so the desired new line looks exactly like the given line 3x + 5y = 6, except that the constant, 6, is replaced by another value.

Write out 3x + 5y = c
Replace x with 0 and y with 3. Then 3(0) + 5(3) = c, and c = 15.

Thus, the equation of the new, parallel, line is 3x + 5y = 15.

You might be interested in

Is the ordered pair left parenthesis 4 comma negative 1 right parenthesis(4,−1) a solution of the following system of equations

blondinia [14]

Answer:

Step-by-step explanation:

(x,y)=(4,-1)

73x+5y=7

73*4+5*(-1)=287

$287\neq 7$

____________________________

175x−3y=17

175*4-3*(-1)=703

$17\neq 703$

7 0

3 years ago

Select the correct answer. What is the area of the triangle in the diagram? A. B. C. D. Reset Next Previous5 Next Using Coordina

Komok [63]

The area of the triangle can be calculated using the distance formula if the coordinates are given.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle with coordinates on the coordinate plane.

It is required to find the area of the triangle using the coordinate points.

Here the coordinates are not given, so we are assuming the coordinates are (x1, y1), (x2, y2), (0,0)

From the distance formula:

The distance(b) between (0, 0) and (x1, y1):

$\rm b = \sqrt{(x_1-0)^2+(y_1-0)^2} \Rightarrow \sqrt{x_1^2+y_1^2}$

The distance between (0, 0) and (x2, y2):

$\rm h = \sqrt{(x_2-0)^2+(y_2-0)^2} \Rightarrow \sqrt{x_2^2+y_2^2}$

So the area of the triangle:

A = bh/2

$\rm A = \dfrac{1}{2}\times \sqrt{x_1^2+y_1^2} \times \sqrt{x_2^2+y_2^2}$

$\rm A = \dfrac{1}{2} \sqrt{(x_1^2+y_1^2) (x_2^2+y_2^2)}$

Thus, the area of the triangle can be calculated using the distance formula if the coordinates are given.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

6 0

2 years ago

The Social Security (FICA) wage base ,y, (in thousands of dollars) from 1983 to 1988 is given by the equation y=1.9x+34.1, where

Zinaida [17]

Answer:

Step-by-step explanation:

Given the equation of the Social Security (FICA) wage base y, (in thousands of dollars) from 1983 to 1988 expressed as y=1.9x+34.1

for us to calculate his wage base in 1995, we need to calculate the total number of years between 1983 to 1995 i.e 12 years

Substitute x = 12 into the expression above as shown;

y=1.9x+34.1

y = 1.9(12)+ 34.1

y = 22.8 + 34.1

y = 56.9

Since y is in thousand of dollars then

y = 56.9 * 1000

y = 56900

y = $56,900

Hence FICA wage base in 1995 is $56,900

7 0

3 years ago

r: steve has three lengths of fence . He connects them to make a triangular pen for his dog .If the lengths are 5 meters , 6 met

Levart [38]

Answer:

Step-by-step explanation:

The angle opposite the 10 meter length is greater than 90. It calculates out to be about 130 degrees. The triangle is obtuse.

As a note that dog is going to be very uncomfortable. He does not have much room to move around. Let's hope he's something like a Chihuahua. The height of the triangle from the 130 degree angle's apex is about 2 meters.

7 0

3 years ago

Multiply (5y+x)(5y-x)

mestny [16]

Answer:

25y²-x²

Step-by-step explanation:

6 0

2 years ago