ZAOC measures 150°. OC is 20° clockwise from the negative x-axis, as shown. If ZAOC is rotated
60° counterclockwise, what angle does OC make with the x-axis?

The values of A and B are 2 and 4 respectively.

Given is the equation as -

(x + A)² - 3 = x² + 4x + B

We can write the given equation as -

(x + A)² - 3 = x² + 4x + B

x² + A² + 2Ax = x² + 4x + B

A² + 2Ax = 4x + B

A² + 2Ax = B + 4x

Equating both sides, we get -

A² = B

and

2A = 4

A = 2

Then B will be equivalent to 4.

B = 4

Therefore, the values of A and B are 2 and 4 respectively.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

Answer:

7.2

Step-by-step explanation:

16.76 = 16.8

9.611 = 9.6

16.8 - 9.6 = 7.2

Answer: 48

Step-by-step explanation:

V = b x h

V = 8 x 6

V = 48

Answer:

Two-tailed test.

Step-by-step explanation:

There are two types of tests:

One-tailed tests and two-tailed tests.

When we only test if the mean is less or more than a value, we have a one-tailed test.

When we test if the mean is different from a value, we have a two-tailed test.

If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use?

Test if it is different, so a two-tailed test.

Answer: See Annex

z (max)  = 190

x = 10

y = 20

Step-by-step explanation:

z = 5*x  +  7*y     to maximize

Subject to:

x + y ≤ 30

2*x + y ≤50

2*x - y ≥ 0

x≥=  y ≥0

On solving the provided question, we can say that - by doing the equation, we have -12 +18 = p + 7 => 6 = p + 7 => p = -1

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

-12 +18 = p + 7

6 = p + 7

p = -1

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer

Here’s a graph. Hope this helps.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

x²+y²-4x+2y=b

x²-4x+4+y²+2y+1=b+4+1

(x-2)²+(y+1)²=b+5

center is (2,-1)

Answer:

Area is 35

Perimeter is 26

A = hb/2

Step-by-step explanation:

You're given the base (7) and the height (10). The area formula is [tex]\frac{h*b}{2}[/tex].

The area of a triangle is half of the base times the height. 7 * 10 = 70, so 70 is twice the area. Divide it by 2 to get the area (35).

The perimeter is all of the sides added together. 10 + 8 + 7 = 26

Answer: h=14

Step-by-step explanation:

If x=-18, then

h=17+(-18)/6

h=17+(-3)

h=17-3

h=14

Answer:

Step-by-step explanation:

so, the calculation was :  h = 17 + [tex]\frac{-18}{6\\}[/tex]

To subtract "[tex]\frac{-18}{6}[/tex] " we need to make it the same denominator  as "17"

(it's not written but technically 17 = [tex]\frac{17}{1}[/tex] )

Yet, we see that [tex]\frac{-18}{6} =\frac{-3* 6}{1*6}[/tex]

We just need to remove both the 6 that are not useful here and :

[tex]\frac{-3*6}{1*6} =\frac{-3}{1}= -3[/tex]

We obtain h = 17 - 3 = 14

hope it helped :)

Answer:

3/4

Step-by-step explanation:

divide 75 by 100

Answer:

Natasha is 12 years ils and Maurice is 7 years old

Step-by-step explanation:

lets say that Maurice is 7 years old.

âgé of Natacha: +5 years ils than maurice

7+5=12

Answer:

A. 336

Step-by-step explanation:

have a good day! :)

Answer: B. 336 is the answer

Answer:

c

Step-by-step explanation:

C becasue 1 week = 15 mulitipication facts memorized

Answer: 3.50

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{7}{12}[/tex]

Step-by-step explanation:

When we are subtracting fractions with different denominators, we find the least common denominator of each one. In the case of 6 and 4, they both share 12 as the least common denominator, so we can rewrite each fraction as equivalents with denominators of 12:

[tex]\displaystyle \frac{5}{6}-\frac{1}{4}=\frac{5*2}{6*2}-\frac{1*3}{4*3}=\frac{10}{12}-\frac{3}{12}=\frac{7}{12}[/tex]

Step-by-step explanation:

This calculator subtracts two fractions. First, convert all fractions to a common denominator when fractions have different denominators

Answer:

C= 64.5 square inches :)

Step-by-step explanation:

To find the area of a parallelogram you have to use this formula:

A= bh b=base  h=height

So, with your given information, you can input the known variables

A= (10.75)(6)

A= 64.5 [tex]in.^2[/tex]

I hope this helps :)

Using the formula of midpoint of a line, the coordinate of the endpoint k is (-6, 31)

The midpoint of a line is the point that is halfway between the two end points of the line. It can be found by taking the average (mean) of the x-values and the average (mean) of the y-values of the two endpoints.

The formula of midpoint of a line is given as;

M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2

Since we have the midpoint and one endpoint, we can use the coordinate to find the missing coordinate.

The x - coordinate is calculated as;

-1 = (4 + x₁) / 2

-2  = 4 + x₁

x₁ = -2 - 4

x₁ = -6

The y - coordinates is calculated as;

8 = (-15 + y₁) / 2

16 = -15 + y₁

y₁ = 16 + 15

y₁ = 31

The coordinates of k is (-6, 31)

Learn more on midpoint of a line here;

https://brainly.com/question/5566419

#SPJ1

If a company has issued 8% debentures of INR 10 each at a 10% discount repayable after 10 years. then the cost of capital or pretax cost of debt is 8%.

A bond or other sort of financial instrument that is secured by collateral is referred to as a debenture. Debentures must rely on the issuer's trustworthiness and reputation for support because they lack a collateral backstop. Debentures are commonly issued by both businesses and governments to raise cash or money. The interest paid on these security can be termed as cost of Debt or pretax cost of Debt.

The pretax cost of debt is interest paid on debenture security without giving effect of corporate tax on the rate of interest to be yearly or as per terms and conditions attached to it.

When debt security issued on discount then the loss on issue of these debenture instrument shall also be form part of cost of security or cost of capital.

Thus the year one pretax cost of  Debt capital will be Rs. 1 per debenture and 8% cost of debt.  

Learn more about pre tax Cost of Debt:

https://brainly.com/question/29575625

#SPJ1

Answer:

The answer is D

Step-by-step explanation:

Total # of student going field trip = 50 students

From the question, we know that they are planning to use two methods of traveling: car and van.

We also know that x represents the number of cars used and y represents the number of vans used.

We also know that cars can hold 5 students each and vans can hold 7 students each.

So the equation will be 5x+7y = 50. The answer is D.

Answer:

1: 1 1/5!

2: 1 4/7!

3: 5 1/4!

4: 4 4/7!

5: 2 6/9!

6: 4 1/6!

Answer:

Meh sure But I can't post a picture, so I'll just type it out.

Standard form: ax^2+bx+c

Quadratic Formula: -b + or - Square root of b^2-4ac/2a

Vertex form: a(x-h)+k

Answer:

A) JK and AB =

[tex][tex] \boxed{( \theta) = \f{12}{( \theta)} }[/tex] So, =》 [tex] \dfrac{10}{5} = \dfrac{1}{ \( \theta) } [/tex] =》 [tex] \( \theta) = \dfrac{5}{2} [/tex][/tex]

B) AABC

[tex][tex] \boxed{( \theta) = {1}{( \theta)} }[/tex] So, [tex] 23}{-18=\\Ans } \boxed[/tex]

C) AABM:

[tex][tex] e \fbox{: }[/tex] The value of k for which [tex] \sin(jm) = \cos(x) [/tex] is [tex] \dfrac{\p}{2} [/tex] ans[/tex]

----------

Answer:

7/25,3/10, 24.40%,37.60%

Answer:

{x | x ∈ R, 4,-1}

Step-by-step explanation:

[tex]y=x^2-3x-4[/tex]

[tex]y=x^2+x-4x-4[/tex]

[tex]y=(x^2+x)+(-4x-4)[/tex]

[tex]y=x(x+1)+(-4)(x+1)[/tex] Distributive property

[tex]y=(x+(-4))(x+1)[/tex] Distributive Property

[tex]y=(x-4)(x+1)[/tex]

set y to 0

[tex]0=(x-4)(x+1)[/tex]

set the factors to 0

[tex]0=x-4; 0=x+1[/tex]

[tex]4=x; -1=x[/tex]

On solving the provided question, we can say that - the equation, 21 = xy; 40 = [tex]x^2-y^2[/tex] x= 2 and y = 2

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

21 = xy;

40 = [tex]x^2-y^2[/tex]

x= 2

and

y = 2

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

Step-by-step explanation:

An explanatory variable is what you manipulate or observe changes in  while a response variable is what changes as a result (e.g., reaction times). The words “explanatory variable” and “response variable” are often interchangeable with other terms used in research.

Using the conversion between metric and U.S systems the value of 0.828oz is 2347.34 cg.

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Some examples of metric system are distance in lengths, weights in grams, volume in milliliters and much more.

The conversion between ounces (oz) into centigram (cg) is given as follows:

1 oz = 2834.95

To convert 0.828 oz into centigram we need to multiply the value 0.828 oz with 2834.95 as follows:

(0.828) (2834.95)

2347.35

Hence the value of 0.828 oz is 2347.34 cg according to the conversion from metric to US system.

Learn more about metric system here:

https://brainly.com/question/21244256

#SPJ1