MATHEMATICS HIGH SCHOOL

Which expression is a difference of squares with a factor of 5x − 8?25x2 − 16
25x2 + 16
25x2 − 64
25x2 + 64

Answers

Answer 1
Answer:

Answer:

option  (3) is correct.

25x^2-64

Step-by-step explanation:

 Given :  factor 5x − 8

We have to choose an expression out of given option that is a difference of squares with a factor of 5x − 8

Using  algebraic identity a^2-b^2=(a+b)(a-b)

a difference of squares is written mathematically as a^2-b^2

Since one factor is 5x − 8

using identity stated above other factor has be 5x+8

Thus (5x+8)(5x-8)

On simplify , we get

(5x+8)(5x-8)=(5x)^2-8^2=25x^2-64

Thus, option  (3) is correct.
Answer 2
Answer: a2 - b2 = (a-b)(a+b)

(5x-8)(5x+8) = 25x2 - 64

answer: 25x2 - 64

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An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.(a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (b) Use the possibility diagram to calculate the probability that the product of the two numbers is I) A prime number ii) Not a perfect square iii) A multiple of 5 iv) Less than or equal to 21 v) Divisible by 4 or 6

The formula for the area of a trapezoid is A=1/2h(b1+b2) express b1 in terms of A, h and b2

Answers

The expression of  b1 in terms of A, h, and b2 is expressed as b_1 =(2A)/(h) - b_2

Given the formula for calculating  the area of a trapezoid expressed as:

A = (1)/(2)h(b_1+b_2)

We are to express b1 in terms of A, h, and b2 as shown

A = (1)/(2)h(b_1+b_2)\n2A = h(b_1+b_2)\n(2A)/(h) = b_1 + b_2\n b_1 =(2A)/(h) - b_2

Hence the expression of  b1 in terms of A, h, and b2 is expressed as b_1 =(2A)/(h) - b_2

Learn more here: brainly.com/question/21406377
the answer is b1=(2A/h)-b2

Law of Sines:sin(A)/a = sin(B)/b = sin (C)/c

Triangle ABC has measures a = 2, b = 2, and m∠A = 30°. What is the measure of angle B?

A. 15°
B. 30°
C. 45°
D. 60°

Answers

The measure of angle B is 30°,

Hence option B is correct.

To solve this problem,

Use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides and their corresponding angles.

Therefore, we have,

sin(A)/a = sin(B)/b

Then, after putting the given measure,

sin(30°)/2 = sin(B)/2

Multiplying both sides by 2, we get,

sin(B) = sin(30°)

As sin is a positive function for angles between 0 and 180 degrees,

Hence,

∠B = 30°

Therefore, the answer is option B.

To learn more about trigonometric ratios visit:

brainly.com/question/29156330

#SPJ7
Hello,

as sin A/a= sin B/b
==>(1/2)/2 =sin B/2
==>sin B=1/2
==>B=30° or 150°
But one say triangle ABC is not a plat triangle ==>150° is excluded.

Answer B: 30°

A triangular pyramid has a surface area of 336 square inches. It is made up of equilateral triangles with side lengths of 12 inches. What is the slant height?

Answers

Given:
Surface Area = 336 sq. inches
side lengths = 12 inches
equilateral triangles

find the slant height.

Area of an equilateral triangle = √3/4 * a² = √3/4 * (12in) = 62.35 in²
Perimeter = 3 a = 3 * 12 = 36 inches

Surface Area = Base Area + 1/2 Perimeter * Slant height
336 in² = 62.35 in² + 1/2 * 36 in * slant height
336 in² - 62.35 in² = 1/2 * 36 in * slant height
273.65 in² * 2 = 36 in * slant height
547.30 in² = 36 in * slant height
547.30 in²  / 36 in = slant height
15.20 in = slant height.

It is actually fourteen...you didvide 336 by 12 and since that slant is a triangle based shape you divide that by the quotient of 336\12, which is 14. Sorry if it’s a little confusing

Payments of $27.50 are made monthly for a period of 36 months, and the amount financed is $835. What is the APR using the formula above?

Answers

The monthly payment for loans with no fees is expressed by a formula. The monthly payment equation is expressed as:

P = (P° x r x (1+r)^N) / ((1+r)^N -1)

where P is the monthly payment, P° is the loan amount, r is the APR, N is the number of monthly payments

We substitute the values and manipulate where one side contains the unknown term r.

27.50/835 = ( r x (1+r)^36) / ((1+r)^36 -1)

Using some functions in the calculator we obtain,

r = 9.51 x 10^-3

Thus, the problem above has an APR of 0.95% monthly.

Answer:

12

Step-by-step explanation:

y = payments per year = 12

c = total interest paid = (36 * 27.50) - 835

m = amount financed = 835

n = total number of payments = 36

It is just a matter of finding the definitions and implementing them.

I get 12.0281484 for the exact result.

so 12 would most likely be the best answer for this.

Givivn h(x)=-x+1, solve for x when h(x)=0

Answers

Answer:

x = 1

Step-by-step explanation:

given h(x) = - x + 1

when h(x) = 0 , that is

- x + 1 = 0 ( subtract 1 from both sides )

- x + 1 - 1 = 0 - 1 ( simplify both sides )

- x = - 1 ( multiply both sides by - 1 )

- 1 × - x = - 1 × - 1 , that is

x = 1

Find the value of 21-18 3 2. O1 2 O2 O9 18​

Answers

Thank you for asking your question!

Have more? Just ask!

Answer:

9

Explanation:

18 / 3 = 6 x 2 = 12.

21 - 12 = 9

Hope this helps!

Answer:

3

,

3

,

2

O

,

2

O

2

,

O

9

,

18

Step-by-step explanation:
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