Which of the following is a correct tangent ratio of the figure?

tan 72°= 58/19
tan 19° =58/72
tan 58° = 72/19
tan 72 = 19/52

Answer:

a = - [tex]\frac{9}{2}[/tex] , b = - [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- [tex]\frac{9}{2}[/tex] )x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 14

  = (x - [tex]\frac{9}{2}[/tex] )² - [tex]\frac{81}{4}[/tex] + [tex]\frac{56}{4}[/tex]

  = (x - [tex]\frac{9}{2}[/tex] )²- [tex]\frac{25}{4}[/tex] ← in the form (x + a)² + b

with a = - [tex]\frac{9}{2}[/tex] and b = - [tex]\frac{25}{4}[/tex]

Answer:

a = 4.5

b = -6.25

Step-by-step explanation:

The given equation to us is ,

[tex]\implies y = x {}^{2} - 9x + 14[/tex]

And its given that it can we written in the form of ,

[tex]\implies (x + a) {}^{2} + b[/tex]

Where ,

Therefore ,

[tex]\implies y = x^2 -9x + 14 [/tex]

Multiplying 9x by 2/2 ,we have ,

[tex]\implies y = x^2 -\dfrac{2}{2}\times 9 x + 14 [/tex]

Adding and subtracting (9/2)² ,

[tex]\implies y = \bigg\{ x^2 -\dfrac{2}{2}\times 9 x + \bigg(\dfrac{9}{2}\bigg)^2 \bigg\} +14 -\bigg(\dfrac{9}{2}\bigg)^2[/tex]

Therefore , we can write it as ,

[tex]\implies y = \bigg( x + \dfrac{9}{2}\bigg)^2 + 14 - 20.25 \\\\\implies \underline{\underline{ y = \bigg( x + \dfrac{9}{2}\bigg)^2 - 6.25 }}[/tex]

Hence the value of a is 9/2 and b is -6.25 .

Answer:

Step-by-step explanation:

Answer:

Given:

The function is:

[tex]f(x)=-4(1.09)^x[/tex]

The table of values for the function g(x).

To find:

The equation that best compares the y-intercepts of f(x) and g(x).

Solution:

We have,

[tex]f(x)=-4(1.09)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]f(x)=-4(1.09)^0[/tex]

[tex]f(x)=-4(1)[/tex]

[tex]f(x)=-4[/tex]

So, the y-intercept of the function f(x) is -4.

From the given table of values, it is clear that the function f(x) passes through the point (0,-4). So, the y-intercept of the function g(x) is -4.

The y-intercept of f(x) is equal to the y-intercept of g(x).

Therefore, the correct option is A.

Answer:

A) The y-intercept of f(x) is equal to the y-intercept of g(x).

Answer:

Step-by-step explanation:

1). 6x - 12y = -18

   6x + 4y = -2

Multiplication property of equality.

2). -16y = -16

Substitution property of equality.

3). y = 1

Division property of equality.

4). 2x - 4(1) = -6

Substitution property of equality.

5). 2x - 4 = -6

Simplify.

6). 2x = -2

Addition property of equality

7). x = -1

Division property of equality

Answer:

a) 122°

b) 37°

Step-by-step explanation:

a) supplement angle of 58° = 180° - 58° =122°

b) complement angle of 53° = 90° - 53° = 37°

Answer:

61 pounds

Step-by-step explanation:

you rearrange the equation to make p the subject:

p-8=53

p = 8+53

p = 61

Answer:

Step-by-step explanation:

a*b *c = abc

15c = 15 . c

2a * 10b = 2* 10 * a * b = 20ab

The above mentioned expressions are true

That are false

12ab = 12a * 12b   ----> false because 12ab = 12 * a* b

7a *7b = 14ab is false because   7a * 7b = 7 * 7* a *b = 49ab

Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes

Step-by-step explanation:

The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:

• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.

Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well

Therefore, the correct options are 2,3 and 4.

Answer:

The correct answer is y = | x + 6 |

Answer:

Uhh what??

Step-by-step explanation:

Do you mean like 1.75 in a decimal form??

Answer:

1st one

Step-by-step explanation:

Answer:

factorize first

16x^3y^2=2×2×2×2×x×x×x×y×y

24x^2y^3=2×2×2×3×x×x×y×y×y

take common=2×2×2×x×x×y×y

=8x^2y^2 which is the write answer

Given:

The given expression is:

[tex](-4x+9)^2[/tex]

According to Kylie,

[tex](-4x+9)^2=(-4x)^2+(9)^2[/tex]

[tex](-4x+9)^2=16x^2+81[/tex]

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

[tex](-4x+9)^2[/tex]

According to the perfect square trinomial [tex](a+b)^2=a^2+2ab+b^2[/tex].

[tex](-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2[/tex]

[tex](-4x+9)^2=16x^2-72x+81[/tex]

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

Answer:C, Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Step-by-step explanation:

Answer:

y = 2/3x - 6

Step-by-step explanation:

The line goes down 2 and 3 left. The line crosses the y-intercept at -6.

Answer:

d

Step-by-step explanation:

o

Step-by-step explanation:

There's on;ly one way I know of that this can be done.You must start at a1 and work your way up to a5

a1 = -3n that's given

a2 =

To find the inverse of a function, we switch out every x for a y and vice-versa.

Original: y = 4x + 8

Flipped: x = 4y + 8

Now, we solve for y again to put this equation into slope-intercept form.

x = 4y + 8

4y = x - 8

y = 1/4x - 2

h(x) = 1/4x - 2

Hope this helps!

Answer:

M = 52* H

"miles equals 52 times hours driven"

Step-by-step explanation:

Answer:

sinΘ = √5/3

Step-by-step explanation:

Mathematically, we know that the cos of an angle is the ratio of the adjacent to the hypotenuse

The sine of an angle is the ratio of the opposite to the hypotenuse

So in this case, from the cosine given; adjacent is 2 and hypotenuse is 3

From the Pythagoras’ theorem, we can get the opposite

Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the opposite as x

3^2 = 2^2 + x^2

9 = 4 + x^2

x^2 = 9-4

x^2 = 5

x = √5

This root can be positive or negative

But since the sine is positive, we shall be considering only the positive root

Thus;

sine theta = √5/3

Answer:

25

Step-by-step explanation:

x + 25 = 50

=> x = 50 - 25

=> x = 25

Answer:

x = 25

Step-by-step explanation:

x + 25 = 50

Solve for x;

Step 1 :- Move 25 to the right-hand side and change their sign.

Step 2 :- Subtract 25 from 50.

Answer:

The number of instruments assembled in 7.5 hours are 450 n/t.

Step-by-step explanation:

The number of instruments assembled in t minutes = n

the number of instruments assembled in 1 minute = n / t

Total time = 7.5 hours = 7.5 x 60 = 450 minutes

So, the number of instruments assembled in 450 minutes are

[tex]\frac{n}{t}\times 450\\\\\frac{450 n}{t}[/tex]  

Answer:

I think the answer is 762.5 if not correct pardon plz

Answer:

3/4

Step-by-step explanation:

[tex]\frac{x}{y} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7}\\\frac{3}{4} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7 }[/tex]

Answer:

D=22-90+22d/7

Step-by-step explanation:

D=22/7×d-90

D=-90+22d/7

Answer:

Your answer is C and D

Step-by-step explanation:

6(x+3)-5x

6 times 3 is 18.

6x+18-5x

5x is a negative so you subtract 5x from 6x.

It's x+18

So the answer would be C and D since they'll have the same outcome.

Answer:

The cube root of a number x is the length of the side of a cube whose volume is x cubic units.

The square root of a number x is the length of the side of a square whose area is x square units.

Hence the words ‘cube’ and ‘square’.

Mathematicians have then generalized these two concepts for when x is not necessarily a volume of a cube or an area of a square