All categories

4 years ago

Write the equation of the line perpendicular to y= 2/5x+6/6 that passes through the point (-2,6)

1 answer:

3 0

The line to find: y = mx + b
the line perpendicular to y= 2/5x+6/6 so it has the slope m × 2/5 = -1
thus the slope m = -5/2
the line passes through the point (-2,6) so:
6 = (-5/2)×(-2) + b so b = 1

the equation of the line is y = -5/2x +1

You might be interested in

PLEASE HELP 30 POINTS <br> Prove that AM is perpendicular to BD

ch4aika [34]

Answer:

Step-by-step explanation:

AM is perpendicular to BD because they from a right angle and the definition of perpendicular is when two lines meet they form a right angle. AM goes straight down and BD form the horizontal line. These two lines form a right angle so AM is perpendicular to BD.

3 0

3 years ago

3/5x 22= 28 solve evuation

MariettaO [177]

3/5x + 22 = 28
-22. -22
3/5x = 6
(5/3)(3/5)x = 6 × (5/3) multiply by the reciprocal
x = 6 × (5/3) -------------> 6 and 3 can be simplify so it will be x = 2 × 5 = 10

check
3/5 (10) + 22 ---> 3 × 2 + 22
28 = 28 ✔

7 0

3 years ago

A certain brand of coffee costs $2.99 for 11.3 ounces. What is the unit rate? Enter your answer, rounded to the nearest cent, in

Marysya12 [62]

To find the unit rate, you would do 2.99 / 11.3 and get about 26 cents. So the unit rate would be 26 over 1 ( 26/1 ).

Hope I helped!

Marsh

8 0

3 years ago

Read 2 more answers

Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.

disa [49]

Answer:

Perimeter = 32.44 units

Area = 30 square units

Step-by-step explanation:

Given

Vertices

A(2,8), B(16,2) and C(6,2)

WE have to determine the lengths of all sides before finding the perimeter and area.

The formula of modulus is:

$d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\$

So the perimeter is:

$Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units$

Using hero's formula,

$s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units$

Rounding off will give us 30 square units ..

4 0

3 years ago

If 3 marbles are drawn from a bag of 12 marbles consisting of three red, four white and five blue, without returning them to the

FinnZ [79.3K]

Answer:

The probability of that happening is 1/22

Step-by-step explanation:

In order to find the probability, you need to start by finding the probability for each step. The probability of the first one being red is the number of red marbles divided by the total number of marbles.

3 red / 12 total.

3/12

1/4

Now the chance that the second is white is the total number of white marbles divided by how many are left in the bag.

4 white / 11 left

4/11

Lastly, the chance of the last one being blue is the number of blue marbles divided by the amount of total marbles left after two pulls.

5 blue/ 10 left

5/10

1/2

Now to find the overall probability of all 3 happening, we multiply all 3 probabilities together.

1/4 * 4/11 * 1/2 = 1/22

7 0

3 years ago