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3 years ago

Determine the area of the red triangular region. 4x+2 M x 2x-2 $

Mathematics

1 answer:

beks73 [17]3 years ago

8 0

The area of the triangle. (WHOLE)

$(4x+2)(2x-2)=8x^{2} -4x-4$

The area of the gray square.

$(x)(x+1)=x^{2} +x$

Subtract.

$(8x^{2} -4x-4)-(x^{2} +x)\\=7x^{2} -3x-4$

Hope this helped.

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There are 52 colas and 26 lemon-lime sodas in the cooler. What is the ratio of colas to lemon-lime sodas?

sergejj [24]

Hi there.

If there are 26 lemon-lime sodas and 52 colas, then that means our ratio is going to be 52:26; however, this is not simplified as both of these are even numbers. To simplify, divide both of these numbers by 26.

26 / 26 = 1
52 / 26 = 2

Our new and simplified ratio of colas to lemon-lime sodas is going to be
2:1.

I hope this helps!

5 0

3 years ago

Read 2 more answers

Evaluate if a = 28 and b = -3. a 4 + b = [?]

SVEN [57.7K]

Answer:

109

Step-by-step explanation:

(4)28+(-3)

4*28=112

112+(-3)

112-3

109

Hope this helps, LMK if its right

4 0

3 years ago

What’s the largest fraction: 7/8, 5/8, 7/13, and 11/19

garik1379 [7]

Answer:

7/8

Step-by-step explanation:

7/8 = 0.875

5/8 = 0.625

7/13 = 0.538

11/19 = 0.579

So 7/8 is the largest

4 0

3 years ago

Can someone please help me factor this

Dmitry_Shevchenko [17]

Answer:

$\huge\boxed{\bf\:1}$

Step-by-step explanation:

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$

Take $\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 }$ & factorise it at first.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}$

Now factorise the next set : $\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$ .

$\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\= \frac{x-4}{x-1}$

Now, multiply the two simplified results.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}$

$\rule{150pt}{2pt}$

7 0

2 years ago

There are 40 girls and 60 boys in the math club the coach wants to divide the entire club into teams where each team has the sam

lapo4ka [179]

40 and 60
40 = 20 x 2
60 = 20 x 3

GCF = 20

the greatest number of teams coach can make is 20
each team can have 2 girls and 3 boys

6 0

3 years ago