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3 years ago

If mn = 16 and m^2 + n^2 = 68 then (m+n)^2 =

Mathematics

1 answer:

Dima020 [189]3 years ago

7 0

Answer:

B. 100

Step-by-step explanation:

(m + n)^2

= m^2 + 2mn + n^2

Rearrange

(m^2 + n^2) + 2mn

Substitute

(68) + 2*16

= 68 + 32

= 100

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I need help solving |-5y+9|= 14

Dmitry [639]

Answer:

-5 turns into 5 and the y is probably 1, so 5+9 is equal to 14.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Based on the data table, which equation accurately represents the situation?

8090 [49]

Answer:

The equation of the line is:

$y = 28x$

Hence, option C is correct.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the table

Gallons Miles Driven

8 224

10 280

4 112

Finding the slope between any two points, let say (8, 224) and (10, 280)

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

$\left(x_1,\:y_1\right)=\left(8,\:224\right),\:\left(x_2,\:y_2\right)=\left(10,\:280\right)$

$m=\frac{280-224}{10-8}$

$m=28$

now substituting (8, 224) and m = 28 in the slope-intercept form of line equation

$y = mx+b$

224 = 28(8) + b

224 = 224 + b

b = 0

Thus, the y-intercept b = 0

now substituting b = 0 and m = 28 in the slope-intercept form of line equation

$y = mx+b$

$y = 28x+0$

$y = 28x$

Therefore, the equation of the line is:

$y = 28x$

Hence, option C is correct.

7 0

3 years ago

Divide x^4+3x^3-2x^2+4 by x-2<br><br>which answer shows the correct synthetic division and quotient

arsen [322]

Answer:

option-A

$\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}$

Step-by-step explanation:

we are given

divisor is

$=x^4+3x^3-2x^2+4$

Dividend is

=x-2

so, we can use synthetic division

so, we can write our expression as

$\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}$

so,

option-A

5 0

3 years ago

Find the area of the shape below, giving your answer to 1 decimal place

STALIN [3.7K]

Answer:

Total area is 198.6cm²

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes.

Step one

From the given figure the two semi circles left and right can be resolved as a whole (a complete circle) with diameter d 10cm

Radius r = 10/2= 5cm

Area of circle A= πr²

A= 3.142*5²

A= 3.142*25

A= 78.55

A= 78.6cm²

Step two

The remaining part of the shape is a rectangle with length (22-10)= 12cm

I.e the 10 is as a result of the radius of the two semi circles = r+r= 5+5=10

The rectangle has a width of 10cm

Area of rectangle A=12*10= 120cm²

Hence the total surface area of the shape

Total area = 120+78.6

Total area = 198.6cm²

5 0

3 years ago

I need to know 6 50/6 converted to fraction and simpilied

FromTheMoon [43]

$6\frac{50}{6} =6\frac{25}{3}=14\frac{1}{3} =\frac{43}{3}$

Hope this helped

7 0

3 years ago