Find the product. (12p - 3)(12p + 3)

Answers

Answer 1
Answer: (a-b)(a+b)=a^2-b^2 \n  \n (12p-3)(12p+3) = (12p)^2-(3)^2=\boxed {\bf {144p^2 -9}}
Answer 2
Answer: (12p * 12p)+(12p * 3)+(-3 *12p)+(-3 * 3)
144p^2 + 36p + (-36p) + (-9) =
144p^2 - 9

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the slope of a line is –2 and its y-intercept is (0, 3). what is the equation of the line that is parallel to the first line and passes through (2, 2)? a. y=4/3x - 3/2 b. 6x-4y=-8 c. y=3/4x 1 d. 4x – 2y = –12

Answers

Parallel lines has equal slope.
Required equation is (y - 2)/(x - 2) = -2 => y - 2 = -2(x - 2) => y - 2 = -2x + 4 => 2x + y = 6

7. Numericals(a) A box has length 50 cm, breadth 20 cm and height 10 cm, then find
(i) its surface area of base;
(ii) its volume
(1000 cm², 100000 cm3)​

Answers

Answer:

i = 1000cm2

ii = 100000cm3

Step-by-step explanation:

for q i

surface area of base = l* b

= 50* 20

1000cm^2

for q 2

volume l*b*h

= 50*20*10

= 100000cm^3

hope it will be helpfull

You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height.The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees, This forms a right triangle.
a. What is the measure of the other acute angle?
b. What is the height of the tree?
c. You are standing at the end of the tree's shadow and want to take a picture of the tree but your camera can only focus at distance less than 500 feet. When you hold the camera to take the picture it is 5 feet above the ground. What is the distance from the end of the shadow to the top of the tree?
d. Can you take a clear picture of the top of the tree from where you are standing?
e. How many total tiles will be needed to complete the job?

Answers

Answer:

Step-by-step explanation:

given that You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height.

the  shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees, This forms a right triangle.

a) Other acute angle is 90-35 = 55 degrees

b) Height of the tree = 500 tan 35 =350.104 feet

c) Here height would be reduced to 350.104 - 5 = 345.104 feet.

Hence distance adjusted= 354.104 cot 35=492.8596 feet.

d) Yes because this is less than 500 feet.

e) height of 5 feet itself is sufficient here

At the grocery store watermelon costs $1.27 per pound. If Heather buys a 5.5 lb watermelon, which proportion could she use to find out how much it will cost, c?

Answers

If you would like to know how much will the watermelon cost, you can calculate this using the following steps:

$1.27 ... 1 pound
$c = ? ... 5.5 pounds

1.27 * 5.5 = 1 * c
c = 1.27 * 5.5
c = $6.99

The correct result would be: c = $1.27 * 5.5 pounds = $6.99.

Answer:

It's D.) 1/1.27 = 5.5/c

Step-by-step explanation:

Set up the proportion to be  

weight in pounds

cost

. Keeping the variables the same on both sides the correct proportion is

1 /1.27

=  

5.5 /c .

Please help me ...............

Answers

Answer:

b= 7 times the square root of 2

Step-by-step explanation: In a 45-45-90 degree triangle the base and the height both equal x and the hypotenuse is equal to x times the square root of 2.

Hope this helps

Answer:

a = 7

b = 7√2

Step-by-step explanation:

45 45 90 right triangle and it's also isosceles right triangle

a = 7

Ratio of leg : hypotenuse = x : x√2

leg a = 7

hypotenuse b = 7√2

Point W (-4,7) was translated as follows:W(-4,7) W (-2,4). A student wrote the algebraic rule to describe the translation as (x,y)(x-3,y+2) evaluate the student's answer

Answers

The student's answer is wrong. This is because when the translation was done from (-4,7) to (-2,4), a value of 2 was added to x and 3 was subtracted from 7. Therefore, the translation should have been: (x,y)(x+2,y-3).

Answer with explanation:

It is given that, point W (-4, 7) is translated to W'(-2,4).

The Student Wrote this translation rule as:

(x,y)→(x-3, y+2)

So,if we apply the translation rule in W ,then

W(-4,7)→W'(-4 -3, 7 +2)=W'(-7, 9)

We are not getting the original coordinates of point after applying this translation rule.

So,the translation rule that student wrote is incorrect.

So,the translation rule should be ,

(x,y)→(x+2,y-3)

that is , W(-4,7)→W'(-4+2,7-3)=W'(-2,4)