Complete the square to solve the equation below.
Check all that apply.
x2 + 8x-1 = 19
O A. x= -10
O B. X= -2
O C. X=-3
O D. X = 2

Answer:

[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]

Step-by-step explanation:

The equation is in the form ax² + bx + c = 0.

x² - c = 0

1x² + 0x + -c = 0

Where : a = 1, b = 0, and c = -c

c > 0

The quadratic equation can always be factored if c is a square number

c can be a square number and the quadratic equation can be solved by using the difference of two squares formula.

x is squared so it can be solved by isolating x on one side by adding c to both sides and using the square root property.

Answer:

[tex]\huge\boxed{Option \ B}[/tex]

Step-by-step explanation:

[tex]x^2 - c = 0[/tex]

This equation is in a quadratic form since:

=> It has the highest power of x as 2. Those equations are quadratic equations in which the highest power of x is 2.

=> However, Those quadratic equation in which b = 0 , and they are like either [tex]ax^2 + c = 0 \ OR \ ax^2-c = 0[/tex], They are called pure quadratic equation.

So, [tex]x^2 - c = 0[/tex] is a quadratic equation.

Answer:

2gramm/millimeters

Step-by-step explanation:

From the question we were given 5

gram ball with a volume of 2.5 milliliters.

Then What is the density of the ball?

Density of a substance is the mass of the substance per it's unit volume

It can be expressed below as

Density= mass/ volume

Mass= 5gram

Volume= 2.5millimetre

Then substitute we have

Density=5/2.5

=2g/mm

Therefore, density of the ball is 2gramm/millimeters

Answer:

4.2 or 4

Step-by-step explanation:

√18 = 4.24264068712

or 4.2

or 4

Answer:

  -7/18

Step-by-step explanation:

You know that 8/9 = 0.888.... repeating, so this value is effectively ...

  [tex]-0.3\overline{8}=-\left(\dfrac{3}{10}+\dfrac{8}{90}\right)=-\dfrac{3(90)+10(8)}{(10)(90)}=-\dfrac{350}{900}=\boxed{-\dfrac{7}{18}}[/tex]

__

Of course, you can use your calculator to determine which answer choice has the given decimal equivalent.

Step-by-step explanation:

[tex]( - 2)( - 3) + (4 )( - 8) \\ - 2 \times - 3 + 4 \times - 8 \\ 6 + ( - 64) \\ 6 - 64 \\ - 58[/tex]

Answer:

Step-by-step explanation:

N___________________M_______O

               76                                 15

NO = MN + MO = 76 + 15 = 91

Answer:

67

Step-by-step explanation:

Hello!

To find PQ we subtract the length of the whole line by QR

88 - 21 = 67

The answer is 67

Hope this helps!

Answer:

Step-by-step explanation:

g - 3 >= 17

g >= 20

The inequality for the given statement 3 less than g is greater than or equal to 17 can be represented as g - 3 ≥ 17.

Inequality shows relation between two expression which are not equal to each others.

The given statement is,

3 less than g is greater than or equal to 17.

To write inequality for the Statement,

Let g is variable,

3 less than g =  g - 3

g -3 is greater than or equal to 17,

Implies that,

g - 3 ≥ 17.

The required inequality is g - 3 ≥ 17.

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Answer:

8

Step-by-step explanation:

think about this: which number has the bigger distance from 0 on a number line.

-4  -3  -2  -1  0  1  2  3  4  5  6  7  8

You can see the distance between -4 and 8. Because 8 is eight spaces away from zero, and -4 is 4 spaces away from zero, we can see that 8 is bigger

The 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.

To compare the numbers -4 and 8, we can use the number line or basic numerical comparison. On the number line, -4 is to the left of 8, indicating that 8 is greater. Additionally, we can verify this by subtracting -4 from 8, which gives us 12 (8 - (-4) = 12). Since 12 is positive, 8 is indeed greater than -4.

In numerical comparison, when a positive number is compared to a negative number, the positive number is always greater. This is because negative numbers are "less than" zero, and positive numbers are "greater than" zero.

In conclusion, 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.

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Answer:7.84 X 10-3 m2

Step-by-step explanation:

A researcher received 9 shipments of 3.49 x 1010 cells to go along with the 1.2 x 109 cells she had already received. How many total cells has she received? A. 4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011

4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011

=7.84 X 10-3 m2

Answer:

189/500

Step-by-step explanation:

[tex]0.378\\\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}\\\\\mathrm{There\:are\:}3\\\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\\\:therefore\:multiply\:and\:divide\:by\:1000}\\\\=\frac{0.378\timess \:1000}{1000}\\\\=\frac{378}{1000}\\\\\frac{378}{1000}:\quad \frac{189}{500}[/tex]

Answer:

[tex]4\frac{1}{6}[/tex]

Step-by-step explanation:

To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is [tex]4\frac{1}{6}[/tex].

Answer:

4\frac{1}{6}      

;-)

Step-by-step explanation:

plz crown   'o'

Answer:2/3 is the same

Step-by-step explanation:

Explanation:

There is only one way to get a sum of 18 and that is rolling three '6's to get 6+6+6 = 18.

There are 6*6*6 = 216 different ways to roll three dice.

Divide the two values to get 1/216

Answer: d=70; f=45; e=65

Step-by-step explanation:

NUMBER 1 WAY

110+d=180

      d=70

135+f=180

       f=45

d+f+e=180

70+45+e=180

            e=65

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

NUMBER 2 WAY

concept to know: exterior angle theorem

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

System of equation

d+e=135

f+e=110

d+e+f=180

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

d=135-e

f=110-e

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

d+e+f=180

(135-e)+e+(110-e)=180

135-e+e+110-e=180

245-e=180

e=65

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

d=70

e=65

f=45

Answer:

-10

Step-by-step explanation:

Plug in 0 to the equation ('cause y-intercept is found when "x" =0), and u get -10.

The constant is typically the y-intercept.

Answer:

i think is 10

Step-by-step explanation:

.............e

Answer:

1 inch represents 1 mile

66330 inches represent 1 mile

Convert to feet = 5280 feet for every mile

So if the map shows y = 1 1/4  then this means 1 1/4 miles

which would make the decimal of y = 1.25

which makes x = 5280 x 1.25 = 6600

We can just convert to decimalization the ' length of y in inches' and multiply by 5280 to find our answer.

= y * x   = (1 .) + additional)  * 1 * 5280

Not forgetting the above decimal if under 2 inches.

Or in any measure including if over 2 inches we can use

= measure of y  * 5280  = (  ) answer

If [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.

A map is a visual representation of an entire area or a part of an area, typically represented on a flat surface.

Mile is a measure of length, in one mile there 1.6 kilometers.

We  have,

[tex]1[/tex] inch [tex]=y[/tex] miles

Then,

[tex]x[/tex]  feet will represent miles on map will be as

We know that,

[tex]1[/tex] feet [tex]=12[/tex] inch

So,

According to question,

Miles represented by [tex]x[/tex] feet [tex]=12y[/tex] miles

Because according to the above given statement we came to know that in [tex]1[/tex] feet there are [tex]12[/tex] inches.

Hence, we can say that if [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.

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Answer: Mean get decreased and median remains same.

Step-by-step explanation:

Given: The low scores of all 4 friends  are all between 90 and 100, except for Angie, whose low score is 80.

i.e. Angie is an outlier.

[An outlier is an extreme value which lies far from the other data values.]

Angie then golfs a great round and has a new low score of 75.

i.e. more lower value.

Since Mean gets effected by an outlier but median remains same.

Here, value of new outlier(75) is less than the previous one (80), so mean score will get decreased, where as median (middle most value in ordered data) remains the same.

Answer:

The slope of the line through the points is -5/7

Step-by-step explanation:

Here, we want to calculate the value of the slope through the lines

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (-4,2)

and (x2,y2) = (3,-3)

Substituting these values, we have;

m = (-3-2)/(3-(-4)) = -5/7 = -5/7

Answer:

2 units to the LEFT

Step-by-step explanation:

i used khan

Answer:

Each ticket cost 4.05

Step-by-step explanation:

Start by finding what is 60% of 13.50 = 0.6 * 13.50 = 8.10

since this is what both tickets cost, then one ticket for the theater was half of this value, that is: 8.10 / 2 = 4.05

Answer:

C. -1/2, 2, √5, √16, 4,05

Step-by-step explanation:

When ordering numbers from least to greatest first comes negative values then we compare all positive expressions

2 is smaller than √5 because it's approximately 2.2 and then comes √16 because it's equal to 4 and finally comes 4.05

Answer:

5

or

square root of 25

Step-by-step explanation:

I used my ti-84 plus ce calculator to solve

>download DISTMID

>prgm

>DISTMID

>DISTENCE

>enter points

>answer

Answer:

[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

Step 1: Use Pythagorean Theorem to find the length of the hypotenuse

[tex]a^{2}+b^{2} =c^{2}[/tex]

[tex]9^{2}+7^{2} =c^{2}[/tex]

[tex]81+47 =c^{2}[/tex]

[tex]128 =c^{2}[/tex]

[tex]\sqrt{c^{2} } =\sqrt{128}[/tex]

[tex]c=\sqrt{128}[/tex][tex]\sqrt{128} =8\sqrt{2}[/tex]

Therefore the third side is [tex]8\sqrt{2}[/tex]

Answer:

The next step of the construction is;

Place the compass at point N and adjust the width to the point where the arc crosses the other side leg of the angle

Step-by-step explanation:

The steps to copy an angle are;

1) Mark the point C of the vertex of the new angle

2) Draw a ray from C in the desired direction

3) With the compass placed at M of the original angle, draw an arc that crosses both sides of the original angle. Mark the crossing points N and O

4) With the same compass width from the arc drawn in the above step, draw a similar arc that crosses the ray from C at point D

5) Place the compass at point N and adjust the width to point O, the point where the arc crosses the other side of the angle

6) While the adjusted compass width is held to remain the same, place the compass at point D and draw an arc to cross the previous arc drawn from C and label the intersection point E

7) With the straight edge, draw a ray FC that passes through E to point C to complete the copied angle.

Answer:

The numbers 250-259 can be rounded to 300. Also 301-349 can be rounded down to 300. This works if you are rounding by the nearest hundreds place.

Answer:

7

Step-by-step explanation:

8+3³/12-7

8+27/5

35/5

7

Step-by-step explanation:

(1) The range of set A is greater than the range of set B.

This statement  gives only the range which means only outermost values but what about the other values. For example-11,0,0,0,11 and -10,-10,0,10,10

Clearly, Former one has higher range but lower standard deviation.

(2) Sets A and B are both evenly spaced sets.

Evenly spaced is fine. However, we don't know the spacing since that is required to know the deviation.

For, example, sets A{2,4,6,8,10} and B {1,2,3,4,5} so in this case SD of A> SD of B. Or,  we can have B{2,4,6,8,10} and A{1,2,3,4,5} so in this case SD of B> SD of A.

Answer:

A

Step-by-step explanation:

The secant- tangent angle 50° is half the difference of the measures of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex](210 - x) = 50 ( multiply both sides by 2 )

210 - x = 100 ( subtract 210 from both sides )

- x = - 110 ( multiply both sides by - 1 )

x = 110°

The sum of the 3 arcs on the circle = 360°

210 + x + z = 360

210 + 110 + z = 360

320 + z = 360 ( subtract 320 from both sides )

z = 40°

Answer:

B

Step-by-step explanation: