A rectangle has a height of k^2+3 and a width of k^2 +7 what is the area

Mathematics

1 answer:

Sav [38]4 years ago

7 0

Answer:

$({k}^{2} + 3) \times( {k}^{2} + 7) \\ = {k}^{4} + 7 {k}^{2} + 3 {k}^{2} + 21 \\ = {k}^{4} + 10 {k}^{2} + 21$

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25 POINTS SOMEONE HELP ME OUT WITH THIS PLEASEEEE BRAINLIEST ANSWER

zloy xaker [14]

1. $y=7x-1$

2. $y=3x+b$
 Sub (1, -5) into equation to find 'b'
$-5=3(1)+b$
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3. $x=-7$

4. $y=4$

3 0

3 years ago

How do you solve -2(6x+3)=-27–5x ?

kvasek [131]

Hi!

Our goal is to isolate x on one side by doing the same operation on both sides.

First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
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Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
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Add 5x to both sides
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Divide by -7 on both sides
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x = 3

The answer is x = 3

Hope this helps! :)

8 0

3 years ago

Ajax is 5 and 1 fourth feet tall. His sister is 3 eighths foot shorter than Ajax How tall is Ajax Sister?

user100 [1]

Answer:

$4\frac{3}{4}$ feet tall

Step-by-step explanation:

Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number $5\frac{1}{4}$ .

His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.

So, this is just a subtraction problem:

$5\frac{1}{4} -\frac{3}{8}$

To solve this, we want to convert 5 1/4 into an improper fraction, which is: $\frac{21}{4}$ . Now, we want to find a common denominator. In this case, that common denominator is 8, so $\frac{21}{4} =\frac{42}{8}$ .

Finally, we subtract 3/8 from 42/8: $\frac{42}{8} -\frac{3}{8} =\frac{39}{8}$ . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4 $\frac{6}{8} =4\frac{3}{4}$ .