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2 years ago

Help ill give you 25 points

Mathematics

1 answer:

lisov135 [29]2 years ago

7 0

Answer:

Step-by-step explanation:

3n+2 is divisible by p:

3n + 2 = px

8n+3 is divisible by p:

8n + 3 = py

Solve each equation for n:

n = (px - 2)/3
n = (py - 3)/8

Eliminate n and solve for p:

(px - 2)/3 = (py - 3)/8
8(px - 2) = 3(py - 3)
8px - 16 = 3py - 9
8px - 3py = 7
p = 7/(8x - 3y)

As we see p could get 1 or 7 as natural number. Since 1 is excluded, the only solution is 7, and 8x - 3y must equal to 1.

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A line, y = mx + b, passes through the point (10, 3) and is parallel to the line 2x+5y=12.

slava [35]

We have been given that a line $y=mx+b$ passes through the point (10, 3) and is parallel to the line $2x+5y=12$ . We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:

$2x-2x+5y=12-2x$

$5y=-2x+12$

$\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}$

$y=-\frac{2}{5}x+\frac{12}{5}$

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be $-\frac{2}{5}$ .

Now we will use slope-intercept form of equation to find y-intercept.

$y=mx+b$ , where,

m = Slope,

b = The y-intercept.

Let us substitute $m=-\frac{2}{5}$ and coordinates of point $(10,3)$ in above equation as:

$3=-\frac{2}{5}(10)+b$

$3=-2(2)+b$

$3=-4+b$

$3+4=-4+4+b$

$7=b$

Therefore, the y-intercept is 7 and our required equation would be $y=-\frac{2}{5}x+7$ .

5 0

2 years ago

Ryan measure the perimeter of his square painting so he can make a wooden frame . find the perimeter of the painting in centimet

egoroff_w [7]

Answer:

Perimeter = 122 cm or 1.22 m

Step-by-step explanation:

The complete question with image is attached.

We know the perimeter is the sum of all the sides.

Since it's already given that one side is 30.5 and we know it is a square, so perimeter would be sum of all the 4 sides [each 30.5 cm].

Perimeter = 30.5 + 30.5 + 30.5 + 30.5 = 122 cm

Also, to get the answer in meters, we need to know that 100 cm = 1 m, hence

We got to divide by 100 to get our answer in meters, so

122/100 = 1.22 meters

Hence

Perimeter = 1.22 m

6 0

3 years ago

Evaluate the expression 3+ [5(2-3) - 6]

iragen [17]

Answer:

Answer is below

Step-by-step explanation:

3+5(2−3)−6

=3+(5)(−1)−6

=3+−5−6

=3+−11

=−8

So therefore, your answer would be -8

8 0

3 years ago

Read 2 more answers

Две противоположные стороны луга параллелепипеда - 550 м, а площадь - 23,1 га.

hichkok12 [17]

Answer:

I can't read this language

Step-by-step explanation:

4 0

2 years ago

the diagonals of parallelogram ABCD intersect at point O. If segment AC is a diagonal and AO = 5, then what is AC

gavmur [86]

9514 1404 393

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. That is, point O is the midpoint of AC. If AO = 5, then OC = 5 and AC = 5+5 = 10.

8 0

3 years ago