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3 years ago

Use the given conditions to write an equation for each line in general form.

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

Answer:

It's the last choice:

2x + y - 1 = 0.

Step-by-step explanation:

x - 2y - 3 = 0

Convert to slope-intercept form in order to find the slope:

-2y = -x + 3

y = 1/2x - 3/2

So the slope is 1/2. The slope of a line perpendicular to this is -1 / 1/2 = -2.

Using the point-slope form to find the required equation:

y - y1 = m(x - x1)

x = 4 and y = -7 so we have:

y + 7 = -2(x - 4)

y + 7 = -2x + 8

2x + y - 1 = 0 is the answer.

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On a street map the vertices of a block are w(20,),x(90,30),y(90,120), and z(20,120). The coordinates are measured in yards find

max2010maxim [7]

Answer:

$\text{Perimeter of wxyz}=320$

$\text{Area of the block}=6300\text{ yards}^2$

Step-by-step explanation:

We have been give that one a street map the vertices of a block are w(20,30), x(90,30), y(90,120), and z(20,120). The coordinates are measured in yards. We are asked to find the perimeter and area of the block.

First of all, we will plot our given points on coordinate plane as shown in the attachment.

We can see that block wxyz is in form of a rectangle. We know that perimeter of rectangle is two times the sum of length and width.

The length of the rectangle will be length of segment wx that is the difference between x-coordinates of x and w.

$\text{Length of segment wx}=90-20$

$\text{Length of segment wx}=70$

The width of the rectangle will be length of segment wz that is the difference between y-coordinates of z and w.

$\text{Length of segment wz}=120-30$

$\text{Length of segment wz}=90$

$\text{Perimeter of wxyz}=2(70+90)$

$\text{Perimeter of wxyz}=2(160)$

$\text{Perimeter of wxyz}=320$

Therefore, the perimeter of the block is 320 yards.

The area of the block will be length times width.

$\text{Area of the block}=\text{70 yards }\times \text{90 yards}$

$\text{Area of the block}=6300\text{ yards}^2$

Therefore, the area of the block is 6300 square yards.

5 0

3 years ago

Four people have measured the height of a wall using different methods. Their results are shown in the table. Order their measur

kompoz [17]

Answer:

Justin

Step-by-step explanation:

4 0

3 years ago

A few students are having a bake sale to try to raise more than $600 for a class trip. They sell cupcakes (c) for $2 each and pi

nadya68 [22]

Answer:

it is easy the answer is D.

4 0

2 years ago

Read 2 more answers

Which values are outliers?

kirill115 [55]

How to compute outliers:

1) Data in chronological order:
0.8 ; 1.6 ; 3.9 ; 3.9 ; 4.4 ; 4.5 ; 6.1 ; 6.4 ; 6.5 ; 10.6 ; 11.2

2) Get median: There are 11 numbers, the 6th number is the median.
median: 4.5

3) Get Q1 and Q3.
Q1: 3.9 ; Q3 = 6.45

4) Find IQR. IQR = Q3 - Q1
IQR = 6.45 - 3.9
IQR = 2.55

5) Find inner fence and outer fence:
Multiply IQR by 1.5 → 2.55 x 1.5 = 3.825
Add result to Q3: 6.45 + 3.825 = 10.275 outer fence
Deduct result from Q1: 3.9 - 3.825 = 0.075 inner fence

Outlier are outside the 0.075 - 10.275 range

<span>Data Outlier Not Outlier
0.8 x
1.6 x
10.6 x
11.2 x</span>

6 0

3 years ago

Read 2 more answers

Linda borrowed $550 at 1% monthly interest she paid $99 in interest how long did Linda borrow the money

Elenna [48]

The time period for which Linda has borrowed money is 18 years.

<h3>What is Interest ?</h3>

Interest is the amount of extra money paid by the person who has taken a loan.

It is given in the question that

Principal = $ 550

Interest Rate = 1%

Interest paid = $99

Time = ?

The formula for Simple Interest is given by

I = (P*R*T)/100

99 = 550 * 1 * T /100 *12

9900 *12 / 550 = T

T = 18* 12 = 216 months or 18 years.

The time period for which Linda has borrowed money is 18 years.

To know more about Interest

brainly.com/question/13324776

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8 0

2 years ago