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2 years ago

True or false 1 and -1 are like terms

Mathematics

1 answer:

Tanya [424]2 years ago

3 0

True because they are both constants.

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What is the factorization of the trinomial below? 2x2 + 11x + 12?

Black_prince [1.1K]

(2x + 3)(x + 4)

Extra characters.

6 0

2 years ago

A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

3 years ago

1/2-(-1/3)<br><br> Does anyone know the answer to this question?

Alexxx [7]

Answer:

5/6

.......................

4 0

3 years ago

Read 2 more answers

What is the range for 25,25,21,28,37,26

lina2011 [118]

Answer:

16 is the range

Step-by-step explanation:

First, arrange the numbers from least to greatest.

21, 25, 25, 26, 28, 37

Then, subtract 21 (smallest number) from the 37 (biggest number).

37 - 21 = 16

So, the range is 16

Have a wonderful day!

7 0

2 years ago

Find the area of the figure.

Slav-nsk [51]

Answer:

132cm

Step-by-step explanation:

Split there firgue into shapes you know

there is a rectangle and a Trapezoid

A = bh

A = 7×4

A = 28cm

Trapezoid

A = 1/2h(b+b)

A = 1/2×8(19+7)

A = 1/2×8(26)

A = 1/2(208)

A = 104cm

Add them together

104 + 28 = 132

4 0

2 years ago

Read 2 more answers