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3 years ago

Between what two consecutive integers is the square root of 182?

Mathematics

2 answers:

jekas [21]3 years ago

7 0

Answer:

13 and 14

Step-by-step explanation:

Orlov [11]3 years ago

6 0

13 x 14 = 182
Therefore, the square root of 182 is between 13 and 14.

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Will mark you brainliest

kumpel [21]

Answer: 37%

Step-by-step explanation:

4 0

2 years ago

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

BaLLatris [955]

Answer:

$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

$f(x) = x^2 - x +2$

Required

The vertex

We have:

$f(x) = x^2 - x +2$

First, we express the equation as:

$f(x) = a(x - h)^2 +k$

Where

$Vertex = (h,k)$

So, we have:

$f(x) = x^2 - x +2$

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

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

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

$f(x) = x^2 - x +2$

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

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

Expand

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

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

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

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

$Vertex = (\frac{1}{2},\frac{7}{4})$

8 0

3 years ago

Read 2 more answers

Pls answer asap!!ty!!<br> Please label the missing angles below.

marusya05 [52]

Answer:

Triangle A: 38 degrees

Triangle B: Unknown (not enough information)

Triangle C: Unknown (not enough information)

Triangle D: 70 degrees

Triangle E: 40 degrees

Step-by-step explanation:

Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.

Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.

Work for Triangle C: Same as B.

Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.

Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.

7 0

3 years ago

In 2000 the number of students enrolled at Arlington County day school was 823 students in 2010 the population was approximately

RoseWind [281]

Answer:

enrollment decreases by 14.34%.

Step-by-step explanation:

Given that number of students enrolled in 2000 = 823

Given that number of students enrolled in 2010 = 705

705 is less than 823 so that means number of students enrollment is decreasing.

Decrease = 823-705 = 118

Percent decrease is given by formula:

$Percent =\frac{part}{whole}\cdot100 =\frac{118}{823}\cdot100= 14.3377885784$

which is approx 14.34%.

Hence final answer is that enrollment decreases by 14.34%

5 0

3 years ago

Find the area and the circumference of a circle with radius 7yd

Anettt [7]

Area= 153.86 yd

Circumference

4 0

3 years ago

Read 2 more answers