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Lady bird [3.3K]
3 years ago
11

Please help me IDK how to do this!!!!!!

Mathematics
1 answer:
tatiyna3 years ago
5 0
A parallelogram should have 2 sets of parallel lines. Let's find the slope of line PQ and RS to test.

PQ:
(4-2)/(1-(-3))
2/4
1/2

RS:
(2-0)/(3-1)
2/2
1

Because 1 does not equal 1/2 (the slopes are different) the lines are not parallel. Thus, the figure is not a parallelogram.
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Sari is teaching her best friend how to factor trinomials with a leading coefficient greater than 1. She starts with the trinomi
Eva8 [605]

Answer:

See explanation

2x^2+5x+3=(x+1)(2x+3)

Step-by-step explanation:

1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as

2x^2+5x+3

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

2\cdot 3=6

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

6=1\cdot 6\\ \\ \bf{6=2\cdot 3}

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

2+3=5

6. Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5:

2x^2+5x+3=2x^2+2x+3x+3

7. Now that the problem is written with four terms, you can factor by grouping:

2x^2 +2x+3x+3=(2x^2+2x)+(3x+3)=2x(x+1)+3(x+1)=(x+1)(2x+3)

6 0
3 years ago
If
Tju [1.3M]

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by \sqrt{x}

b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x}  }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\

Now, find a +b

a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}

Combine like terms

= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}

Now find (a + b)²

(a +b)² = (\frac{2\sqrt{x} }{x})^{2}

          = \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}

Hint: \sqrt{x} *\sqrt{x}  =\sqrt{x*x}=x

5 0
3 years ago
Rena spent 6 days reading her book completing the same fraction of the book each day, she read a total of 8/9 of her book what f
seraphim [82]

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

MARK ME AS BRAINLIEST PLS :)

6 0
3 years ago
Is f(x)= -2(3)^-x an increasing or decreasing function?
sattari [20]
Increasing. It helps to graph it out.
8 0
3 years ago
TRUE OR FALSE?<br> -7 = (-5) - (-12)
gizmo_the_mogwai [7]

Answer:

false

Step-by-step explanation:

-7=(-5)-(-12)

-7=-5+12    

-7=7 is not true

5 0
2 years ago
Read 2 more answers
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