0=x^2-8x-32 solve by completing the square

Answer:

1/8

Step-by-step explanation:

This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.

The probability of flipping tails is 1/2. We need three of these.

1/2 x 1/2 x 1/2 = 1/8

Answer:

KR = 9

Step-by-step explanation:

If K is the midpoint of ER, then EK = KR and ER = 2(EK).

Given:

         ER = 2(EK)

⇒ 4x + 2 = 2(x + 5)

⇒ 4x + 2 = 2x + 10

⇒ 2x + 2 = 10

⇒ 2x = 8

⇒ x = 4

As EK = KR  and EK = x + 5  and x = 4:

⇒ KR = 4 + 5    

⇒ KR = 9

KR:-

Answer:

C

Step-by-step explanation:

Since the angles in a triangle add to 180 degrees, the third angle is 180-70-45=65 degrees

Answer:

I am stuck on this two

Step-by-step explanation:

rectangle, 6 8 14 12

Answer:

14

Step-by-step explanation:

7(length) times 4(height) equals 28

28/2= 14

The flour needed for 18 dozen cookies is 4.5 pounds.

The number of cookies that can be made with 10 pounds of flour is 40 cookies.

The first step is to determine the flour needed for 1 dozen cookies.

Flour needed = 3/12

Flour neeeded for 18 dozens = 3/12 x 18 = 4.5 pounds

The first step is to determine the number of cookies that can be made with one pound of flour:

12/3 = 4

Number of cookies that can be made iwth 10 pounds of flour = 4 x 10= 40 cookies

To learn more about multiplication, please check: https://brainly.com/question/13814687

Save 25% on any computer is the better deal. Then the correct option is A.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A) Save 25% on any computer. Then the better deal will be

→ 579 × 0.25 = $ 144.75

B) Save $150 on any computer. Then the better deal will be

→ $ 150

C) Save $75 plus 5% off on any computer. Then the better deal will be

→ 579 × 0.05 + 75 = $ 103.95

D) Save  $50 plus 10% off on any computer. Then the better deal will be

→ 579 × 0.10 + 50 = $ 107.9

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

£442

Step-by-step explanation:

see vid on how to calculate cm² of a box here

Answer:

17cm²

Step-by-step explanation:

area of box =l×w

10cm×10cm=100cm²

0.17×100cm²=17cm²

Answer:

c) -2y = 10x + 6

Step-by-step explanation:

The equation of a line in slope-intercept form is:

[tex]y=mx+b[/tex]

The variables stand for:

[tex]y:$ y-coordinate of any point on the line\\$x:$ x-coordinate of any point on the lien\\$m: $ Slope of the line\\$b: $ y-intercept of the line; where the line meets the y-axis[/tex]

Plugging in the given information into the equation:

[tex]y=-5x+(-3)\\y=-5x-3[/tex]

Go through the answer choices:

a)  2y = -5x - 3

Divide both sides of the equation by 2

[tex]y=-\frac{5}{2}x-\frac{3}{2}\rightarrow\text{Incorrect!}[/tex]

b) -2y = 10x - 6

Divide both sides of the equation by -2

[tex]y=\frac{10}{-2}x-\frac{6}{-2}\\y=-5x-(-3)\\y=-5x+3\rightarrow\text{Incorrect!}[/tex]

c) -2y = 10x + 6

Divide both sides of the equation by -2

[tex]y=\frac{10}{-2}x+\frac{6}{-2}\\y=-5x+(-3)\\y=-5x-3\rightarrow\text{Correct!}[/tex]

d) 2y = 10x - 6

Divide both sides of the equation by 2

[tex]y=\frac{10}{2}x-\frac{6}{2}\\y=5x-3\rightarrow\text{Incorrect!}[/tex]

Therefore the answer is c) -2y = 10x + 6

Additional Comments:

We can only divide both sides of the equation by 2 and/or -2 because of the Division Property of Equality. This property states that if we divide one side of the equation by a certain quantity, we must divide the other side by the same quantity so that the equation remains equal.

Transforming the solid line to the dotted line would change the equation of the functions

The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]

The equation of the solid line is given as:

y = √x

The solid line undergoes the following transformation to match the dotted line

The rule of the above sequence of transformations is:

(x,y) -> (x - 6, -y + 3)

Using the above transformation rule, the equation of the dotted line is:

[tex]f(x) = -\sqrt{x - 6} + 3[/tex]

Read more about function transformation at:

https://brainly.com/question/17586310

Answer:

Step-by-step explanation:

Answer:

Graph-d

Step-by-step explanation:

We are given that,Each month, Alex’s cellphone plan costs $15 and additional 0.10 per minute of use. The equation that would represent Alex's total monthly costs would be linear equation (equation of a line). Linear equation has the following form:

[tex]y = mx + b[/tex]

in this case,

Since Alex’s cellphone plan initially costs $15, b would be 15 . Again he has to pay an additional cost of $0.10 per minute of use. hence, m would be 0.10 or ⅒ . Therefore our equation of line is

In conclusion

Graph d represents Alex’s total monthly cost

Answer:

20 and 10

These are the only two possible numbers who match those descriptions.

Answer:

slope = - 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = ( - 1, 2) ← 2 points on the line

m = [tex]\frac{2-0}{-1-0}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2

Answer:

[tex]slope = -2[/tex]

Step-by-step explanation:

Step 1:  Determine two points

We need to take two points off of the equation that is used in thsi graph and we can see that we have (0, 0) and (-1, 2)

Step 2:  Determine the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - 0}{-1 - 0}[/tex]

[tex]m = \frac{2}{-1}[/tex]

[tex]m = -2[/tex]

Answer:  [tex]slope = -2[/tex]

In the given polygon-

>>Two of the angles are of 90⁰

The sum of all angle in n-sided polygon is given by -

[tex]\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}[/tex]

Here number of sides,n = 8

So ,the sum of all angle = [tex]\sf (8-2)\times 180[/tex]

[tex]\sf \implies 6 \times 180[/tex]

[tex]\sf \implies 1080 \degree[/tex]

>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of [tex]\theta[/tex] only.

[tex]\implies \sf 1080- 2\times 90[/tex]

[tex]\implies \sf 1080- 180[/tex]

[tex]\implies \sf 900 \degree [/tex]

Now, Sum of remaining 6 angles = 6[tex]\theta[/tex]

Also, 6[tex]\theta[/tex] = 900⁰

[tex]\theta = \dfrac{900}{6}[/tex]

[tex]\theta = 150 \degree[/tex]

Answer:

heya ^^

let's first see what the question says -

so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.

while , rest of the angles have been named [tex] \bold{\theta }[/tex] and this thing clears that all the other angles are of equal measure.

now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.

therefore ,

[tex]\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}[/tex]

therefore ,

option ( D ) θ=150 is correct.

hope helpful :D

Answer:

34

Step-by-step explanation:

Distance - formula

Answer:

34

Step-by-step explanation:

best to use the formula: √(X1-X2)²+(Y1-Y2)²

(If u want to know why, it's determinated by pithagoras' theory.)

=>√(30-0)²+(16-0)²=√900+256=√1156=34

Answer:

Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**

Step-by-step explanation:

You need to line each number up.

10.5

11.0

19.0

The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.

This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.

Answer:

x = 1.348331477 and 0.148331477

Step-by-step explanation:

TEPS USING THE QUADRATIC FORMULA2x(5x−2)+(3x−0.5)2=2x+3+10x−5+2x+3Use the distributive property to multiply 2x by 5x−2.10x2−4x+(3x−0.5)×2=2x+3+10x−5+2x+3Use the distributive property to multiply 3x−0.5 by 2.10x2−4x+6x−1=2x+3+10x−5+2x+3Combine −4x and 6x to get 2x.10x2+2x−1=2x+3+10x−5+2x+3Combine 2x and 10x to get 12x.10x2+2x−1=12x+3−5+2x+3 Subtract 5 from 3 to get −2.10x2+2x−1=12x−2+2x+3Combine 12x and 2x to get 14x.10x2+2x−1=14x−2+3Add −2 and 3 to get 1.10x2+2x−1=14x+1Subtract 14x from both sides.10x2+2x−1−14x=1Combine 2x and −14x to get −12x.10x2−12x−1=1Subtract 1 from both sides.10x2−12x−1−1=0Subtract 1 from −1 to get −2.10x2−12x−2=0This equation is in standard form: ax2+bx+c=0. Substitute 10 for a, −12 for b, and −2 for c in the quadratic formula, 2a−b±b2−4ac​​.x=2×10−(−12)±(−12)2−4×10(−2)​​Square −12.x=2×10−(−12)±144−4×10(−2)​​Multiply −4 times 10.x=2×10−(−12)±144−40(−2)​​Multiply −40 times −2.x=2×10−(−12)±144+80​​Add 144 to 80.x=2×10−(−12)±224​​Take the square root of 224.x=2×10−(−12)±414​​The opposite of −12 is 12.x=2×1012±414​​Multiply 2 times 10.x=2012±414​​Now solve the equation x=2012±414​​ when ± is plus. Add 12 to 414​.x=20414​+12​Divide 12+414​ by 20.x=514​+3​Now solve the equation x=2012±414​​ when ± is minus. Subtract 414​from 12.x=2012−414​​Divide 12−414​ by 20.x=53−14​​The equation is now solved.

x=514​+3​x=53−14​​

Answer:

2.6 cm is the correct answer

Step-by-step explanation:

Answer:

2.6 cm

Step-by-step explanation:

it is the shortest

Answer:

x=5/2 x=-4

Step-by-step explanation:

2x^2+3x-20 = (2x-5)*(x+4)

2x-5 = 0 x=5/2

x+4 = 0 x=-4

Answer: X= -4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

45.2 x 0.035=1.582

"Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit."  -Khan Academy. org > significant figures

Answer: 1.6 is the answer

Step-by-step explanation:

45.2 x 0.035 = 1.582
After you do that step Then you'll need to round 1.582 up in the tenths, and it should be 1.6!

Hope this helps

Answer:

40 is an addend in an addition

40 is the y-intercept if the question really is y = 7.5x + 40.

Step-by-step explanation:

40 is just a number in a sum of 2 numbers.

Perhaps you meant

y = 7.5x + 40

If that is the case, then 40 is the y-intercept.

Answer:

10.4

Step-by-step explanation:

cosine rule=[tex]a^{2}=b^{2} +c^{2} -2bc*cosa[/tex]

                [tex](2\sqrt{3}) ^{2}=(x+2)^{2} +x^{2} -2(x+2)x*cos60\\12=x^{2} +4x+4+x^{2} -2x^{2} -4x*\frac{1}{2}\\2x-8=0\\x=4\\Area=\frac{1}{2}absinc\\ = \frac{1}{2}*6*4*sin60\\\\ =6\sqrt{3}\\=10.4(3 sig.fig)[/tex]

Answer:

280°

Step-by-step explanation:

There are 360° in a circle. you are given an arc that is 80°.

To find the arc JKI, subtract 80 from 360.

360 - 80 = 280°

Answer:

Below.

Step-by-step explanation:

a) reflection over y-axis.

b) dilation.