MATHEMATICS MIDDLE SCHOOL

Question 1: Evaluate 5m-6: m=7

Answers

Answer 1

Answer:

Answer: 29

Step-by-step explanation:

Answer 2

Answer:

Answer: 29

Step-by-step explanation:

5m-6

5(7)-6

35-6

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The area of a rectangle is 128 sq. ft. If the width is twice the length, what is the measure of the length of the rectangle?
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How do you know if a number is smaller or bigger

Answers

use a number line and plot it with zero in the middle and the positive numbers on the right and the negative numbers on the left
the farther to the right a number is, the bigger it is
the farther to the left a number is, the smaller it is

Is 3y=4x an example of direct variation?

Answers

Answer:

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

A direct variation is defined as when two numbers change but one is always a multiple of the other or if they always have a constant ratio.

The function f(x)=-(x-3)^2 +9 can be used to represent the area of a rectangle with the perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?

Answers

Maximum area of the rectangle is $9cm^(2)$

Explanation:

Considering the dimensions to be in cm

$f(x) = -(x-3)^(2) +9\nf(x) = -(x^(2) +9 - 6x)+9\nf(x) = -x^(2) +6x\nf'(x) = -2x+6\n-2x+6 = 0\n2x=6\nx=3cm\n\n$

Putting the value of x = 3

$Perimeter = 2(x+b)\n12 = 2(3+b)\n6 = 3+b\nb= 3cm$

$Area of rectangle = x X b\n = 3 X 3\n = 9cm^(2)$

Therefore, maximum area of the rectangle is $9cm^(2)$

Find the area of rectangle who’s length is 35 and diognal is 37

Answers

Step-by-step explanation:

Hope it helps uh

Plz mark as brainlist

Answer:

420 unit^2.

Step-by-step explanation:

By Pythagoras theorem:

37^2 = 35^2 + w^2 where w = the width.

w^2 = 37^2 - 35^2

w^2 = (37 + 35) (37 - 35)

w^2= 72 * 2 = 144

w = 12 units.

So the area = 12 * 35

= 420 unit^2.

What is the factorization of : -2/18f + 2/42

Answers

$-(2)/(18)f +(2)/(42) =\boxed{\bf{-2\left((1)/(9)f-(1)/(21)\right)}}$

at 4:40 pm the thermometer outside of Yasmin's window read 40°c It had risen 8° betwen noon and 4:30 pm and 5° bertwen 7am and noon . What was the temperature at 7am?

Answers

at 4:30 the temperature is 40 degrees, and this temperature is 8 degrees more than what is was at noon. so we subtract 8 from 40 to get 32 degrees at noon. then we subtract 5 from 32 to get the temperature at 7 am. The temperature at 7 am is 27 degrees

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