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3 years ago

Use the product-to-sum identities to rewrite the following expression as a sum or difference.

1 answer:

3 0

Answer:

= cos4x

Explanation:

cosAcosB = [cos(A-B)+cos(A+B)]

Given: 2cos(2x)cos(2x)

= 2[cos(2x-2x)+cos(2x+2x)]

= 2cos4x^2

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How to factor a trinomial x^2+11x+19

Tresset [83]

Answer:

this trinomial is prime, and cannot be factored.

Step-by-step explanation:

when expanding the equation, you multiply the last term by the first term's coefficient, and then find two factors that multiply to that product, and sum to the middle coefficient.

1 * 19 = 19

there are no factors that will multiply to 19 and sum to 11. thus, this polynomial is prime.

4 0

3 years ago

Cher wrote a check for $220. She also made five withdrawals of $40

Verizon [17]

Answer:

-420

Step-by-step explanation:

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3 years ago

A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be desc

earnstyle [38]

Answer: D

Explanation:

The equation of a line in the point slope form is expressed as

y - y1 = m(x - x1)

where

m represents slope

x1 and y1 represents coordinates of the point that the line passes.

From the information given, the equation of the path of the old route is

y = 2x/5 - 4

Recall, the equation of a line in the slope intercept form is expressed as

y = mx + c

By comparing both equations,

slope, m = 2/5

If two lines are parallel, it means that they have the same slope. Given that the new route is to be parallel to the old route and will go through point (Q, P), then

m = 2/5

x1 = Q

y1 = P

The equation of the new route be

y - P = 2/5(x - Q)

5 0

1 year ago

HeIp me please! !!!??

Sholpan [36]

126 students like football :)

3 0

3 years ago

Read 2 more answers

4C. Quintin is using the three different shaped

Sauron [17]

The smallest number of tiles Quintin will need in order to tile his floor is 20

The given parameters;

number of different shapes of tiles available = 3

number of each shape = 5

area of each square shape tiles, A = 2000 cm²

length of the floor, L = 10 m = 1000 cm

width of the floor, W = 6 m = 600 cm

To find:

the smallest number of tiles Quintin will need in order to tile his floor

Among the three different shapes available, total area of one is calculated as;

$A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2$

Area of the floor is calculated as;

$A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2$

The maximum number tiles needed (this will be possible if only one shape type is used)

$maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number= 60$

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

$3 \times \ smallest \ number = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20$

Thus, the smallest number of tiles Quintin will need in order to tile his floor is 20

Learn more here: brainly.com/question/13877427

3 0

3 years ago