MATHEMATICS HIGH SCHOOL

A square has perimeter 12x. Find an expression, in terms of x, for the area of the square. Give your answer in its simplest form.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

A square has 4 sides

$(12x)/(4)$ = 3x

Area is length times width, but we would square it in this case.

3x * 3x = $(3x)^(2)$ = 9 $x^(2)$

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Factor the equation.

X2-15x+50=0

Answers

Answer:

(x - 10)(x - 5)

Step-by-step explanation:

Well to factor X^2-15x+50

we need to find 2 numbers that multiply to get 50 and add to get -15.

-5 * -10 = 50

-5 + -10

x*x = x^2

Factored (x - 10)(x - 5)

Hope this helps :)

Answer:

(x - 10)(x - 5)

Step-by-step explanation:

Step 1- Find 2 numbers that multiply to be 50.

10 × 5

-10 × -5

25 × 2

-25 × -2

All these multiply to get 50.

But the numbers must also add up to be -15.

Step 2- Find the 2 numbers that also add up to be -15.

10 + 5 = 15

-10 + -5 = -15

25 + 2 = 27

-25 + -2 = -27

The correct equation would be - 10 + -5

The 2 number you would use when you factor would be -10 and -5

Step 3- Write the equation

You can write the equation as (x - 10)(x - 5)

Or you can also write it as (x - 5)(x - 10)

3-3*6+2=?
is it 0
or -13
or -17
i am confess

Answers

Hi

Multiply: -3×6 = -18

3 - 3×6 + 2 = 3 - 18 + 2

Now, add and subtract:

3 - 18 + 2 = 3 - 16 = -13

Answer: -13

CANT GET WRONGKristen is wrapping presents for the holidays. She has a box that measures 4 ft. x 2 ft. x 2 ft. How many square feet of wrapping paper does she need to cover the box without overlapping?
A) 16 ft2
B) 40 ft2
C) 64 ft2
D) 96 cm2

Answers

we can either just mutiply them and add them
(area=legnth times width)
or we can use Surface Area formula (which can be found for only rectangular prisms)

SA=2(LW+LH+WH)

L=4
W=2
H=2
sub
SA=2(4*2+4*2+2*2)
SA=2(8+8+4)
SA=2(20)
SA=40

answer is 40 ft^2

aswer is B

BRAINLIST Which table describes a linear function that has a slope of 2?
O Table 1
O Table 2
O Table 3
O Table 4

Answers

Answer:

Table 2

Step-by-step explanation:

Answer:

O Table 4 is the table describes a linear function that has a slope of 2.

Step-by-step explanation:

$i.e \: using \: the \: equation \: y \: = m(x) \: + \: b.$

A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from the point (3,7) to the point (8,8), with distance measured in feet. Find the work done by the force in foot-pounds.

Answers

Answer:

11.37 lb-ft

Step-by-step explanation:

We are given that

Force,F=3 pounds

$\theta=42^(\circ)$

Let Point A (3,7) and point B(8,8)

We have to find the work done by the force.

$d=<(8-3)+(8-7)>=<5,1>$

$r=\mid d\mid=√(x^2+y^2)=√(5^2+1^2)=√(26)$ feet

We know that Work done by the force

$W=Frcos\theta$

Substitute the values

$W=3* √(26)cos42=11.37 lb-ft$

Hence, the work done by the force =11.37 lb-ft

Final answer:

The work done by a force of 3 pounds moving an object along a straight line from point (3,7) to (8,8) at an angle of 42 degrees with the horizontal is calculated to be approximately 11.7 foot-pounds.

Explanation:

The student's question relates to the concept of work done by a force. According to the equation for work, W = Fd cos θ, the work done by a force is the product of the magnitude of the force, the distance over which it acts and the cosine of the angle between the force and the displacement vectors. In this case, the force is 3 pounds, the displacement can be calculated using Pythagorean theorem from the points (3,7) to (8,8) yielding approximately 5.1 feet, and the angle with the horizontal is 42 degrees. Using these values, the work done can be calculated as:

W = 3 pounds * 5.1 feet * cos(42 degrees) = approximately 11.7 foot-pounds