What is the square root of 67

Answers

Answer 1

Answer:
Every positive number has two square roots.

The square roots of 67 are 8.185... (rounded) and -8.185... (rounded) .

Both are irrational numbers, so they can't be completely written down
with digits. No matter how many decimal places I write, it can never be
enough, because these decimals go on forever and never end.

Answer 2

Answer: The square root of 67 is, 8.18535277187

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Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

Answers

The question is asking us to find which function in the vertex form is equivalent to f ( x ) = 4 + x^2 - 2 x. We have to add 1 to make a squared binomial ( and also to subtract 1 ). f ( x ) = ( x^2 - 2 x + 1 ) - 1 + 4 = ( x - 1 )^2 + 3. Then we have the vertex point ( 1, 3 ). Answer: The function in vertex form is: f ( x ) = ( x - 1 ) ^2 + 3.

Answer:

Vertex form of the function will be f(x) = (x - 1)² + 3.

Step-by-step explanation:

Vertex form of a quadratic function is given by f(x) = a(x - h)² + k

where (h, k) is the vertex of the given parabola.

Now we will convert the function in the vertex form.

f(x) = x² - 2x + 1 + 3

= (x - 1)² + 3

Therefore, the vertex form of the function will be f(x) = (x - 1)² + 3

and the vertex will be (1, 3).

Pls give an explanation

Answers

Answer:

A. p = 32°

Step-by-step explanation:

Corresponding angles are angles that are formed when a transversal intersects two parallel lines. They are located on the same side of the transversal in corresponding positions.Corresponding angles are always congruent to each other.

In this case:

90° and (3p - 6)° are corresponding angles.

So, they are equal.

We can write it as:

90° = (3p - 6)°

Add 6 on both sides.

90 + 6 = 3p - 6 + 6

96 = 3p

Divide both sides by 3.

$\sf (96)/(3)=(3p)/(3)$

32° = p

Therefore, answer is:

A. p = 32°

Answer:

Step-by-step explanation:

given a pair of parallel lines , then

3p - 6 and right angle ( indicated by box ) are corresponding angles and are congruent , then

3p - 6 = 90 ( add 6 to both sides )

3p = 96 ( divide both sides by 3 )

p = 32

A and B share the cost in a ratio of 3:2. A pays £125 how much does b pay?

Answers

To solve this problem, we can set up proportion, which is two equivalent ratios. In this case, we are using the ratio of A to B to figure out the amount that B pays using our value for A. We are allowing x to represent the unknown value for the B payment. This is modeled below:

3/2 = £125/x

To simplify, we can perform cross-multiplication. This means multiplying the numerator of one fraction by the denominator of the other and setting it equal to the product of the other numerator and denominator. This is modeled below:

(125)(2) = (3)(x)

Next, we can simplify the equation by performing the multiplication on both sides of the equation.

250 = 3x

Finally, we should divide both sides by 3 to get our unknown variable x alone on the right side of the equation.

x = 83.33

Therefore, B costs £83.33.

Hope this helps!

Hello!
3 + 2 = 5
125 divided by 5 = 25
25 x 3:2 = 2
25 x 2 = 50

The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?A. length = 7 cm; width = 6 cm

B. length = 4 cm; width = 9 cm

C. length = 6 cm; width = 7 cm

D. length = 5 cm; width = 5 cm

Answers

"the length of a rectangle is 5 centimeters less than twice its width"
this translates to
L = 2W - 5

Perimeter = 2L + 2W = 26

we plug in L = 2W - 5 into 2L + 2W = 26
and get
2(2W - 5) + 2W = 26

distribute the 2
4W - 10 + 2W = 26

add like terms
6W - 10 = 26

add 10 to both sides
6W = 36

divide both sides by 6
W = 36 / 6 = 6

so the width = 6 cm

The only option with width = 6 cm is A
Therefore your answer is A

Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C. She is told she can rewrite this equation in slope-intercept form, y=mx+b, to find the pattern. She correctly rewrites the equation 7x+9y=14 in slope-intercept form as y=− 7/9x +14/9. Which answer explains the pattern for how to find the slope using an equation in standard form?A. In slope-intercept form, the slope is 14/9. These values are C and A, but with the opposite sign, so the slope of the line from the equation in standard form is − C/A.

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

C. In slope-intercept form, the slope is 14/9. These values are C and B, but with the opposite sign, so the slope of the line from the equation in standard form is − C/B.

D. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − B/A.

Answers

Answer:

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

Step-by-step explanation:

Let's convert the standard equation into slope-intercept form:

Ax + By = C ⇒ subtract Ax from both sides
By = -Ax + C ⇒ divide both sides by B
y = -A/Bx + C/B ⇒ converted to slope- intercept form

As we see the slope is -A/B

The equation 7x + 9y = 14 is converted as:

y = -7/9x + 14/9, where the slope is -7/9

Looking at the answer options and the correct one is option B, where both identification of slopes match.

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

A stone path through her backyard. She uses 25 equally-sized stones to make a path that is 12 feet long.How long is each stone?