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2 years ago

Find the axis of symmetry.

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

7 0

Answer:

x=3

Step-by-step explanation:

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The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 234 square feet, what are the

kifflom [539]

Answer:

The garden is 9 feet wide and 26 feet long.

Step-by-step explanation:

L = W+17

area = LW = 234

(W+17)W = 234

W²+17W-234 = 0

Quadratic formula

W = [-17 ± √(17² – 4·1(-234))] / [2·1]

= [-17 ± √1225] / 2

= [-17 ± 35] /2

= -26, 9

-26 is an extraneous solution

W = 9

L = W+17 = 26

The garden is 9 feet wide and 26 feet long.

3 0

2 years ago

Susan has 45 hats in her closet.Her friends borrowed some of the hats.Nicky borrowed 3hats.And Shelly borrowed 2 hats.If Susan d

Zina [86]

Answer:

How many closets?

Step-by-step explanation:

8 0

3 years ago

Sviatoslav solved the quadratic equation x^2-x-1=0 by completing the square. In the process, he came up with the equivalent equa

zimovet [89]

Answer:

$x=\frac{1+\sqrt5}{2}$ and $x=\frac{1-\sqrt5}{2}$

and b= $\frac{5}{4}$

Step-by-step explanation:

We are given that a quadratic equation

$x^2-x-1=0$

We have to solve the equation by completing square and find the value of b.

$(x)^2-2\times x\times \frac{1}{2}+(\frac{1}{2})^2-(\frac{1}{2})^2-1=0$

$(x-\frac{1}{2})^2-\frac{1}{4}-1=0$

$(x-\frac{1}{2})^2-\frac{1-4}{4}=0$

$(x-\frac{1}{2})-\frac{5}{4}=0$

$(x-\frac{1}{2})^2-(\frac{\sqrt5}{2})^2=0$

$(x-\frac{1}{2})^2=(\frac{\sqrt5}{2})^2$

$x-\frac{1}{2}=\frac{\sqrt5}{2}$ and $x-\frac{1}{2}=-\frac{\sqrt5}{2}$

$x=\frac{\sqrt5}{2}+\frac{1}{2}=\frac{1+\sqrt5}{2}$

And $x=\frac{1}{2}-\frac{\sqrt5}{2}=\frac{1-\sqrt5}{2}$

Therefore, $x=\frac{1+\sqrt5}{2}$ and $x=\frac{1-\sqrt5}{2}$

and b= $\frac{5}{4}$

6 0

3 years ago

zheka24 [161]

Answer:

Step-by-step explanation:

Sn = (n/2)(a1 + a1 + d(n-1)), where S = sum, a1 = first term, n = number of terms, d = common difference

400 = (n/2)(1 + 1 + 2(n - 1))

400 = (n/2)(2 + 2n - 2)

400 = (n/2)(2n

400 = n2

20 = n

Twenty numbers are in the set.

6 0

3 years ago

Read 2 more answers

Solve 3x+1=3. What is x plz?

postnew [5]

3x+1=3
3x=3-1
3x=2
x=2/3

7 0

3 years ago

Read 2 more answers