MATHEMATICS MIDDLE SCHOOL

Which expression represents the area of the triangle drawn below?The answer choices are in the photo.. PLEASE HELP!

Answers

Answer 1

Answer:

Which expression represents the area of the triangle drawn below?

Base of the triangle=4x+2

Height of the triangle=2x+1

Area of triangle= $(1)/(2)$ *b*h

Area= $(1)/(2)$ *(4x+2)(2x+1)

Simplifying 4x+2 we get, 2(2x+1)

So, we have, Area= $(1)/(2)$ *2(2x+1)(2x+1)

Area= $(1)/(1)$ *1(2x+1)(2x+1)

=(2x+1)(2x+1)

FOILing the two we get, 2x*2x +2x*1 +1*2x+1*1

(2x+1)(2x+1)=4x²+2x+2x+1

Area=4x²+4x+1

So, Area of the triangle=4x²+4x+1

Answer:Option C

Answer 2

Answer:

Answer:

It is C

Step-by-step explanation:

I just took the same quiz. I saw that this was the answer.

Hope this helps!

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Find the area of the lateral faces of the right triangular prism with altitude of 5 cm and base edges of length 3 cm, 4 cm, and 5 cm.

Answers

Answer:
area of lateral faces = 60 cm²

Explanation:
The lateral area of the triangular prism can be calculated as follows:
lateral area = s₁h₁ + s₂h₂ + s₃h₃

We have:
h₁ = h₂ = h₃ = height of prism = 5 cm

Therefore, the formula became:
lateral area = h (s₁ + s₂ + s₃)

We area given that:
s₁ = 3 cm
s₂ = 4 cm
s₃ = 5 cn

Substitute with these givens in the above equation to get the lateral area as follows:
lateral area = 5 (3+4+5)
lateral area = 5(12)
lateral area = 60 cm²

Hope this helps :)

Is the equation xº -5x + 6 = 0 quadratic in form?
Explain why or why not.

Answers

Answer:

Step-by-step explanation:

No because the quadratic form is ax^2 + bx + c = 0. The equation, xº -5x + 6 = 0, is not in quadratic form because xº is not x^2, yet the rest of the equation follows the quadratic equation template.

Members of the fire department lean a 30-foot ladder against a building. The side of the building is perpendicular to the level ground so that the base of the ladder is 10 feet away from the base of the building. To the nearest foot, how far up the building does the ladder reach?Can you please explain with some details?

Answers

To get this you just have to square 30 then square 10 then subtract the answer you get the find the square root of what you get so 900-100=800 the square root of 800 is 28.3.

What does it mean for an equation to express y in terms of c

Answers

It means you need to make all the numbers to 0 and make y=c

What is 42% of 50? I'm really struggling.

Answers

42% of 100 is 42 so 42% of is half of the first answer, therefore the answer is 21.

42 percent of 50 is 21. 42 percent of 100 would be 42 so just splits that in half. You could also do .42 x 50 to find the answer. 42 percent is equivalent to .42

2.6 as a mixed number

Answers

two and three fifths

Step one is to convert it to a fraction. The conversion from decimal to fraction is somewhat difficult and annoying, but in this problem, it's simple. We can describe this number as 2 and 6 tenths, right? Well, how do you write 6 tenths as a fraction? 6/10. Your number is $2 (6)/(10)$ . 6 and 10 can both be divided by 2, so your final solution is $2 (3)/(5)$

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