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3 years ago

Solve 3(4m - 6) = 12 and explain each step

Mathematics

1 answer:

Studentka2010 [4]3 years ago

3 0

Distribute the 3 to 4m and 6. this makes 12m-18=12
now add 18 to both sides.
12m=30
now divide by 12
m=30/12

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The height of a triangle is 4 inches greater than twice its base. The area of the triangle is no more than 168 in.² which inequa

Gennadij [26K]

<h2>Answer:</h2>

Correct option: B

<h2>Step-by-step explanation:</h2>

When we say a is no more than b, we express this in a mathematical language as follows:

$a\leq b$

In this inequality, we know that the area of the triangle is no more than 168 in². In other words, if the area is named $A$ , then:

$\mathbf{(1)} \ A\leq 168$

We also know that the height of a triangle is 4 inches greater than twice its base. Translating this in a mathematical language:

$\mathbf{(2)} \ h=2b+4 \\ \\ h:height \ of \ the \ triangle \\ \\ b:base \ of \ the \ triangle$

From geometry, we know that the area of a triangle is given by:

$\mathbf{(3)} \ A=\frac{bh}{2}$

Matching (1), (2) and (3):

$\frac{bh}{2}\leq 168$

Since the length of the base of the triangle is $x$ , then $b=x$

$\frac{x(2x+4)}{2}\leq 168 \\ \\ Common \ factor \ 2: \\ \\ \frac{2x(x+2)}{2}\leq 168 \\ \\ \boxed{x(x+2)\leq 168}$

Finally, correct option is B.

8 0

3 years ago

1. What does the algebraic representation (x,y) → (x-1, y-2) represent?

Anna [14]

Answer:

A) Each point will translate 1 unit left and 2 units down

Step-by-step explanation:

I got it right in my test Answer A

7 0

3 years ago

A circle is divided into 18 parts how many degrees is the angle for each part

eduard

A circle is 360 degree so if it's divided into 18 parts, each part is 360/18 = 20 degree :)))
i hope this is helpful
have a nice day

6 0

3 years ago

compare the right-hand and left-hand derivatives to show that the function is not differentiable at the point P. find all points

Softa [21]

$f(x)= \left \{ {{ \sqrt{x} } \atop {2x-1}} \right. 
\\
\\ f'(x)= \left \{ {{ \frac{1}{2\sqrt{x}} } \atop {2}} \right. 
\\
\\ f'(1)= \left \{ {{ \frac{1}{2}} \atop {2}} \right. 
\\
\\ f'(1^-) \neq f'(1^+)$

Therefore, the function is not differentiable at x = 1.

$f(x)= \sqrt{x} 
\\
\\f'(x)= \frac{1}{2 \sqrt{x} } 
\\
\\f'(0)=\frac{1}{2 \sqrt{0} } = \infty$

Therefore, the function is not differentiable at x = 0.

3 0

3 years ago

Simplify 4^2 ⋅ 4^8.

Savatey [412]

In terms of exponents:

1.) 4,294,967,296
2.) 1,048,576
3.) 1.84467441 x 10^19
4.) 1,099,511,627

7 0

3 years ago