Find the perimeter of a picture first.

width = 7 1/2 = 15/2 in

length = 8 in

perimeter = 2(width) + 2(length)

p = 2(15/2) + 2(8)

p = 15 + 16

p = 31 in

next, find the perimeter of border.

p = 4(1 1/4)

p = 4(5/4)

p = 5 in

perimeter of picture with border = 31 + 5 = 36 in

6 0

3 years ago

. A rectangular fish pond is 21 ft2 in area. If the owner can surround the pond with a 20-foot fence, what are the dimensions of

prisoha [69]

Answer:

It's 3 x 7 pond or a 7 x 3 pond

Step-by-step explanation:

Let the rectangular pond have dimensions l x b.

ATQ, l*b=21 and 2(l+b)=20. Solving it, we get l=3 or 7 and b=7 or 3.

7 0

3 years ago

Write equation of the line containing (4,2) and (3,5)<br> in slope-intercept form.

11Alexandr11 [23.1K]

Answer:

The equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:

y=-3x+14

Step-by-step explanation:

Given the points

(4, 2)

(3, 5)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(4,\:2\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)$

$m=\frac{5-2}{3-4}$

$m=-3$

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b

$y=mx+b$

2=(-3)4 + b

2 = -12 + b

b = 2+12

b = 14

Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.

$y=mx+b$

y=(-3)x+(14)

y=-3x+14

Thus, the equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:

y=-3x+14

6 0

4 years ago

Evaluate

ioda

Answer:

Step-by-step explanation:

The expression is ;

8- (m/n) + p2

8- (8/2) +(7)square

8 -4 +49=53

8 0

4 years ago