MATHEMATICS HIGH SCHOOL

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2).Which expression can be used to find the area of triangle RST?

(8 ∙ 4) - One-half (10 + 12 + 16)
(8 ∙ 4) - (10 + 12 + 16)
(8 ∙ 4) - One-half (5 + 6 + 8)
(8 ∙ 4) - (5 - 6 - 8)

Answers

Answer 1
Answer:

Based on the coordinate plane, a mathematical expression which can be used to find the area of triangle RST is: A. [(8 × 4) - 1/2 × (10 + 12 + 16)].

What is a triangle?

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

How to calculate the area of a triangle?

Mathematically, the area of the triangle is given by the formula:

Area = (1)/(2)* base * height

In this scenario, the mathematical expressions that would be used to find the area of triangle RST with points (-5, 6), (3, 4) and (-2, 2) are given by:

Area of rectangle = LW = 8 × 4

Area of triangle 1 = 1/2 × (2 × 5) = 1/2 × 10

Area of triangle 2 = 1/2 × (3 × 4) = 1/2 × 12

Area of triangle 3 = 1/2 × (2 × 8) = 1/2 × 16

The area of triangle RST = [(Area of rectangle) - 1/2 × (Area of triangle 1 + Area of triangle 2 + Area of triangle 3)].

Substituting the parameters into the formula, we have;

The area of triangle RST = [(8 × 4) - 1/2 × (10 + 12 + 16)]

Read more on area of triangle here: brainly.com/question/21917592
Answer 2
Answer:

Answer:

(8 ∙ 4) - One-half (10 + 12 + 16)  

Step-by-step explanation:

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Let f(x) = 16x5 – 48x4 – 8x3 and g(x) = 8x2. Find f of x over g of x. a) 2x2 + 6x + 1 b)2x2 – 6x – 1 c)2x3 + 6x2 + x d)2x3 – 6x2 – x

Answers

The answer is d)2x3 – 6x2 – x.

It is given:
f(x)=16 x^(5)-48 x^(4) -8 x^(3)
g(x)=8 x^(2)

We should find:
f( (f(x))/(g(x)) )

So, we just need to replace it in the equation:
f( (f(x))/(g(x)) )= (16 x^(5)-48 x^(4) -8 x^(3))/(8 x^(2))

Let's now separate each member of equation:
f( (f(x))/(g(x)) )= (16 x^(5))/(8 x^(2)) - (48 x^(4))/(8 x^(2)) - (8 x^(3))/(8 x^(2)) = (16)/(8) x^(5-2) -(48)/(8) x^(4-2) -(8)/(8) x^(3-2)

f( (f(x))/(g(x)) )=2 x^(3) -6 x^(2) -x

Answer:

\boxed{\boxed{(f(x))/(g(x))=2x^3-6x^2-x}}

Step-by-step explanation:

Here given that,

f(x) = 16x^5-48x^4-8x^3\n\ng(x) = 8x^2

So (f(x))/(g(x)) will be,

(f(x))/(g(x))=(16x^5-48x^4-8x^3)/(8x^2)

Applying single division,

(16x^5-48x^4-8x^3)/(8x^2)=(16x^5)/(8x^2)-(48x^4)/(8x^2)-(8x^3)/(8x^2)

Simplifying further,

(16x^5)/(8x^2)-(48x^4)/(8x^2)-(8x^3)/(8x^2)=2x^3-6x^2-x

Which equation shows a line perpendicular to the line

Answers

Answer:

The second answer: y= 3/4x + 2

Step-by-step explanation:

Subtract 4x to the other side

Divide by 3 to get y by itself

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Determine the second derivative of y=cosxtanx.

Thanks :)

Answers

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Solve for the variable in 7 ∕28 = 25∕ x A. 20 B. 100 C. 4 D. 5

Answers

The solution to the equation 7/28 = 25/x is x = 100.

What is the solution to the equation?

Given the equation in the question:

7/28 = 25/x

To solve for the variable x in the equation 7/28 = 25/x, first, we cross multiply.

7/28 = 25/x

Cross-multiplying, i.e multiplying the numerator of the first fraction with the denominator of the second fraction and vice versa:

Hence:

7 × x = 28 × 25

7x = 700

Now, isolate x by dividing both sides by 7:

7x/7 = 700/7

x = 700/7

x = 100

Therefore, x has a value of 100.

Option B) 100 is the correct answer.

Learn more about equations here: brainly.com/question/14686792

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(7)/(28)=25 over x 

OK what can go in to 25? 

5

25/5=5/25/7/28/x=5
X= 5

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Answers

Answer:

h=1-rs

Step-by-step explanation:

rs+h^2=1 square on both sides

rs+h=1 subtract rs

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Answers

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