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4 years ago

What is now the length in meters?

Mathematics

2 answers:

e-lub [12.9K]4 years ago

6 0

If you have the area of a rectangle as x2 - 49 your factorised version would be (x-7) and (x+7). Since you cannot have a negative measurement it would 7

Natasha_Volkova [10]4 years ago

5 0

I think length is 7－x.

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if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically

Artemon [7]

The value of x is 5/8.

<u>Step-by-step explanation</u>:

Given,

The lines PQ and RS are parallel to each other.
slope of PQ= x-1/4
slope of RS = 3/8

The slopes of parallel lines are equal.

slope of PQ = slope of RS

⇒ x-1/4 = 3/8

⇒ (4x-1)/4 = 3/8

⇒ 8(4x-1) = 4(3)

⇒ 32x-8 = 12

⇒ 32x = 20

x = 20/32

x = 5/8

5 0

3 years ago

Helpppppppppppppppppppppp

castortr0y [4]

Answer: second option y = 2(x + 7/2)^2 + 1/2

Explanation:

1) given:

y = (x + 3)^2 + (x + 4)^2

2) expand the binomials:

y = x^2 + 6x + 9 + x^2 + 8x + 16

3) add like terms:

y = 2x^2 + 14x + 25

4) take common factor 2 of the first two terms:

y = 2 (x^2 + 7x) + 25

5) complete squares for x^2 + 7x

x^2 + 7x = [x +(7/2)x ]^2 - 49/4

6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:

y = 2 [ (x + 7/2)^2 - 49/4] + 25

7) take -49/4 out of the square brackets.

y = 2 (x + 7/2)^2 - 49/2 + 25

8) add like terms:

y = 2(x + 7/2)^2 + 1/2

And that is the vertex for of the given expression.

7 0

3 years ago

Eli read four more biographies than historical fiction book during the semester. He also read two fewer mysteries than historica

9966 [12]

Answer: Eli read 3 historical fiction books , 7 biographies and 1 mystery book.

Step-by-step explanation:

Let x be the number of historical fiction books Eli read.

Then, Number of biographies he read = x+4

Number of mysteries he read = x-2

If he read a total of eleven books during the semester , then we have the following equation :

$x+x+4+x-2=11$

$\\\\\Rightarrow\ 3x+2=11$

$\\\\\Rightarrow\ 3x=9$ (Subtract 2 from both sides )

$x=3$ (Divide both sides by 3)

Therefore , Number of historical fiction books Eli read = 3

Number of biographies he read = 3+4=7

Number of mysteries he read =3-2=1

Hence, Eli read 3 historical fiction books , 7 biographies and 1 mystery book.

6 0

3 years ago

Read 2 more answers

Find the length of the line segment inside the rectangular prism.

disa [49]

To find the length of the yellow segment, we have to use Pythagorean's Theorem. But first, we have to find the length of the black line at the bottom.

$c^2=a^2+b^2$

Where a = 4ft and b = 9ft.

$\begin{gathered} c^2=4^2+9^2 \\ c^2=15+81 \\ c=\sqrt[]{96} \\ c\approx9.8 \end{gathered}$

So, the length of the black segment is 9.8 feet.

Now, we find the yellow line length

$c^2=a^2+b^2$

Where a = 4 and b = 6.

$\begin{gathered} c^2=4^2+6^2 \\ c^2=16+36 \\ c^2=52 \\ c=\sqrt[]{52} \\ c\approx7.2 \end{gathered}$ <h2>Therefore, the length of the yellow line is 7.2 feet.</h2>

8 0

2 years ago

Rapide s’il vous plaît

sveticcg [70]

A-d i gave you the whole decimal round as needed

6 0

3 years ago