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worty [1.4K]
3 years ago
9

PLS HELP I DONT KNOW THIS ONE

Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Answer:

x+3

---------------

(x-3)(x-2)(x-4)

Step-by-step explanation:

x+4             x^2 -16

---------------÷ -------------

x^2 - 5x+6     x+3

Copy dot flip

x+4                x+3

--------------- * -------------

x^2 - 5x+6     x^2 -16

Factor

x+4                x+3

--------------- * -------------

(x-3)(x-2)     (x-4)(x+4)

Cancel like terms

1                   x+3

--------------- * -------------

(x-3)(x-2)     (x-4)1

x+3

---------------   x cannot equal 3,2,4 -4

(x-3)(x-2)(x-4)

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Which could be the area of one face of the triangular prism? Select three options.
katovenus [111]

Answer:

(A)24 square units

(C)72 square units

(D)96 square units

Step-by-step explanation:

<u>Triangular face</u>

Height of the Triangle=6 Units

Base of the Triangle=8 Units

Area of the Triangular Face

=\frac{1}{2}bh\\ =\frac{1}{2}*8*6\\=24 $ square units

<u>Rectangular Faces</u>

Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units

Area of Rectangular face with dimension  12 by 8= 12 X 8=96 Square Units

Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units

From the options, the areas are:

  • 24 square units
  • 72 square units
  • 96 square units

4 0
4 years ago
Read 2 more answers
B: Alex is 12 years older than George.
UkoKoshka [18]

Answer:

The ratio of George age to Carl's age is 1:12.

Step-by-step explanation:

Let the age of George be 'g'.

Let the age of Alex be 'a'.

Also Let the age of Carl be 'c'.

Given:

The sum of their ages is 68.

So equation can be framed as;

g+a+c=68 \ \ \ \ equation 1

Also Given:

Alex is 12 years older than George.

So equation can be framed as;

a =g+12 \ \ \ \ equation \ 2

Now Given:

Carl is three times older than Alex.

c=3a

But a =g+12

So we get;

c = 3(g+12) \\\\c= 3g+36 \ \ \ \ equation \ 3

Now Substituting equation 2 and equation 3 in equation 1 we get;

g+a+c=68\\\\g+g+12+3g+36=68\\\\5g+48=68

Subtracting both side by 48 using subtraction property of equality we get;

5g+48-48=68-48\\\\5g=20

Now Dividing both side by 5 using Division property of equality we get;

\frac{5g}{5}=\frac{20}{5}\\\\g =4

Hence George age g = 4 \ years

Now Alex age a=g+12 = 4+12 =16\ years

Also Carl's age c=3g+36=3\times 4+36 =12+36 =48\ years

Now we need to find the ratio of George age to Carl's age.

\frac{g}{c}=\frac{4}{48} = \frac{1}{12}

Hence  the ratio of George age to Carl's age is 1:12.

3 0
3 years ago
Help me with this please!!!!!
miv72 [106K]

Answer:

Yes, the slopes of AB and BC are the same.

Step-by-step explanation:

Hope this helps! Leave any questions or concerns in the comments! byeee <3

8 0
3 years ago
Can you please help me ???
Fofino [41]

Answer:

x     y

2      2

5     5

8      8

11     11  

Step-by-step explanation:

it goes on and on and on

3 0
3 years ago
Read 2 more answers
-2 (x + 3) &gt; 9 + 3x.<br>inequality​
spayn [35]

Answer:

x<-3

Step-by-step explanation:

-2(x+3)>9+3x - Distribute

-2x-6 > 9+3x - Subtract 3x to both sides

-5x-6 > 9 - Add 6 to both side

-5x > 15 - Divide -5 to both sides

Integer switches: x < -3 - Answer

Source: MathPapa

5 0
3 years ago
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