Find the value or values of X in the quadratic equation x2=6x-9.

Answer:

tanθ = [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

let the unknown side be x , then

Using Pythagoras' identity in the right triangle

x² + 5² = 17²

x² + 25 = 289 ( subtract 25 from both sides )

x² = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Then

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{15}{8}[/tex]

Answer:

The lines are parallel because they have the same slope(5x)

Answer:

82 degrees is the answer

Step-by-step explanation:

angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus

angle 7 = 180 - 98 = 82 deg

The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.

The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.

∠6 = 98 degrees

Therefore,

∠6 + ∠7 = 180°(angles on a straight line)

∠6 = 98 degrees

Hence,

98 + ∠7 = 180

subtract 98 from both sides

98 - 98 + ∠7 = 180 - 98

∠7 = 82 degrees.

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Answer:

15m+80 would be the correct equation

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!

Why? Because they are mirrors of each other. In other words, one table has its x and y row swapped compared to the other table.

The input x = -120 leads to the output y = 627 in table C. Then in table D, we have the input x = 627 to go the output y = -120. Refer to the first column of each table mentioned. The same applies for the other columns as well. The inverse table undoes everything the original table does.

The tables that could be used to verify inverse functions are tables C and D

The inverse of a function are the opposites of the function

From the list of options, we can see that:

The x values of table C are the y values of table D

Also, the x values of table D are the y values of table C

This means that tables C and D are inverse functions

Hence, the tables that could be used to verify inverse functions are tables C and D

Read more about inverse functions at:

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Answer:

b < -2

Step-by-step explanation:

-5 - b < 3

-5 - b + -5 < 3 + -5

b < -2

Answer:

tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885

Answer:

x > -5

Step-by-step explanation:

[tex]-5(x+7)<-10\\x+7>2\\x>-5[/tex]

Answer:

x > -5

Step-by-step explanation:

-5 (x+7) < -10

The next step is to divide both sides by -5 and flip the sign

(x+7) > [(-10/(-5)]

x+7 > 2

Finally, subtract both sides by 7

x > 2-7

x > -5

Answer:

25

----

36

Step-by-step explanation:

Square both the numerator and the denominator of this fraction, 5/6:

25

----

36

The sqaure will be like this;

= 5/6 × 5/6

= 25/36

EASY!!

Answer:

[tex]y=\frac{-1}{4} x+3\\[/tex]

Step-by-step explanation:

[tex](y-5)=\frac{-1}{4} (x--8)\\(y-5)=\frac{-1}{4} (x+8)\\y=\frac{-1}{4} x-\frac{8}{4}+5 \\y=\frac{-1}{4} x-2+5\\y=\frac{-1}{4} x+3\\[/tex]

Answer:

0.2 or less

Step-by-step explanation:

since there is no explanation whether the rest of the sweets are orange or not, the probabilty of it is 1-0.8=0.2 or less

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.

____________________

P (strawberry flavored sweet) = 0.8

P (orange flavored sweet) = ?

____________________

Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.

____________________

So,

P (orange flavored sweet) = 1 - P (strawberry flavored sweet)

P (orange flavored sweet) = [tex]\large\bold{1.0 - 0.8}[/tex]

P (orange flavored sweet) = [tex]\large\bold{0.2}[/tex]

____________________

✐ The probability that the sweet is orange flavored is 0.2

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

Remember the property:

a^-1 = (1/a)^1

and:

(a/b)^n = (a^n)/(b^n)

A table for a function like:

[tex]\left[\begin{array}{ccc}x&f(x)\\&\\&\\&\\&\end{array}\right][/tex]

Is just completed as:

[tex]\left[\begin{array}{ccc}x&f(x)\\x_1&f(x_1)\\x_2&f(x_2)\\x_3&f(x_3)\\x_4&f(x_4)\end{array}\right][/tex]

So, here we have:

y = f(x) = (1/6)^x

To complete the table, we need to find:

f(-1)

and

f(2)

So let's find these two values:

f(-1) = (1/6)^-1 = (6/1)^1 = 6

and the other value is:

f(2) = (1/6)^2 = 1/36

Then the complete table is:

[tex]\left[\begin{array}{ccc}x&f(x)\\-2&36\\-1&6\\0&1\\1&1/6\\2&1/36\\1&1/216\end{array}\right][/tex]

Answer:

1,100 is your area

Step-by-step explanation:

First we cut the shape into three, two triangles and a square, the formula to find the area of a square is A=a^2 (a is the side)

A=25^2

A=625

now to find the triangles the formula to find the are we use the right angled triangle formula twice which is A=a*b/2

A=25*19/2

A=475/2

A=237.5

now add them all up

625+237.5+237.5=

1,100

Answer:

[tex]6^{7-5} = 6^2[/tex]

Step-by-step explanation:

Answer:

36.

Step-by-step explanation:

6^7 / 6^5

= 6^(7-5)

= 6^2

= 36.

Answer:

Step-by-step explanation:

take angle A as reference amgle

using cos rule

cos A=adjacent/hypotenuse

0.9659=c/25

0.9659*25=c

24.1475=c

Answer:

Step-by-step explanation:

First blank is 4

second blank is 2/4

third blank is 4

fourth blank is 9

Answer:

first blank : increase

second blank : +2

third blank : -1

fourth blank : 4

fifth blank : 5

Step-by-step explanation:

Answer:

-0.43/100

Step-by-step explanation:

then divide those two numbers by a number that they both can be divided by/the GCF

Answer:

flutter, flap, beat, agitate, vibrate; tremble          could be one of these

Step-by-step explanation:

Answer: vibrate, tremble

Step-by-step explanation:

Answer:

10 inches by 4 inches

Step-by-step explanation:

Area of envelope, A = 40 in²

Perimeter of envelope, P = 28 in

Area = Length * width, L*W

Perimeter = 2(L + W)

40 = LW - - - (1)

28 = 2(L+W)

28/2 = L+W

14 = L+W - - - (2)

Solving like a quadratic equation ;

We need two numbers whose sum gives 14 and product gives 40

The numbers are 10 and 4

(10*4) = 40 and (10+4) = 14

Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.

Answer:

It's C

Step-by-step explanation: I took the test and got it wrong

The third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].

The sequence exists in a particular order in which connected things follow each other.

The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2

Second term b will be [tex]$-2*6+13=1$[/tex]

The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]

So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]

If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]

If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]

So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.

Therefore, the third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex]  exists reversed will be [tex]$\frac{a-13}{6}$[/tex].

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Answer:

the circumference is 37.7 cm

Answer:

circumference = 37.7

Step-by-step explanation:

in the photo I explained the formula of how to find the circumference

Answer:

18

Step-by-step explanation:

g(x) = x^2

g(3) = 3^2 =9

g(-3) = (-3)^2 = 9

g(3) + g(-3) = 9+9 =18

Answer:

18

Step-by-step explanation:

g ( x) = x²

g ( 3 ) = ( 3 )² = 9

g ( -3 ) = ( - 3 )²

g ( - 3 ) = 9

g( 3 ) + g ( -3 ) = 9 + 9 = 18

Answer:

Since both terms are perfect squares, factor using the difference of squares formula.

(x+9y)(x−9y)

Answer:

Step-by-step explanation:

x^2-81y^2

=(x)^2-(9y)^2

=(x-9y)(x+9y)

Answer:

Answer:so -7-5 is graeter than  - 1 /1/5 and it above 1/1/5

Step-by-step explanation:

Answer:

x =127

Step-by-step explanation:

Since this is a 6 sided figure, the sum of the interior angles is 720

128+133+112+x+120+100 = 720

Combine like terms

x+593=720

Subtract 593 from each side

x+593-593 = 720-593

x =127

Hint :

Sum of angles of the 6 sided figure = [tex] {720}^{o} [/tex]

Answer:

[tex] {x}^{o} = {127}^{o} [/tex]

Step-by-step explanation:

[tex] {x}^{o} + {112}^{o} + {133}^{o} + {128}^{o} + {100}^{o} + {120}^{o} = {720}^{o} \\ {x}^{o} + {593}^{o} = {720}^{o} \\ {x}^{o} = {720}^{o} - {593}^{o} \\ {x}^{o} = { 127}^{o} [/tex]

Answer:

7

Step-by-step explanation:

Answer:

[tex] \cos(47 \degree) = \frac{h}{12} \\ h = 12 \cos(47 \degree) \\ h = 8.2 \: cm[/tex]

you need to use cos

function

Answer:

money earned = 110

Step-by-step explanation:

Money earned * percent saved = money saved

money earned * 30% = 33

Change to decimal form

money earned * .30 = 33

Divide each side by .3

money earned = 33/.3

money earned = 110

Answer:

C)

Step-by-step explanation:

3/4 · 12 = 9